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Preprint ARTICLE | doi:10.20944/preprints202409.1581.v2

On the Salient Limits of Strings of Assembly Theory

Wawrzyniec Bieniawski, Piotr Masierak, Szymon Łukaszyk, Andrzej Tomski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; information theory; complexity measures; information entropy; mathematical physics

Online: 3 October 2024 (08:55:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v19

Gravity and Riemann Hypothesis

Jun Ze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; Riemann hypothesis; Euler's formula; collision; vibration

Online: 30 September 2024 (15:24:35 CEST)

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Based on the understanding of relativity and quantum mechanics, this paper demonstrates that gravity is the result of spatial shape and dimension changes. The concept of space as dimension is expounded, and the difference between gravitational field space and material space is distinguished. The reason why the photon moves in space at a constant speed of c is explained. The concept of positive and negative energy is discussed, and the microscopic performance of positive energy as compression space and negative energy as stretching space is explained. Trying to understand increases the understanding of micro-uncertainty in dimensions. It explains how matter generates new dimensions in the process of collision, especially through elastic collision to generate different dimensions and energy forms. The hierarchical control of dimension formation and how to achieve dimension balance are mentioned. The influence of dimension on life is discussed, especially how the change of dimension affects the basic properties of matter. proposed four forces that are most easily observed in any dimensional matter and explained their relationship to dimensional change. Through the mapping phenomenon of memory and reality, the role of residual energy is discussed. The concepts of π and e in mathematics are used to explain the process of dimension formation and energy transmission. The application of Riemann hypothesis and in understanding physical phenomena is mentioned. The imbalance between positive energy and negative energy is emphasized. It explains why quantum is both a particle and a wave, and how this characteristic is related to the change of dimension. The only possibility to explain the universe before the change from the vibration. Explain the reason of path integral, so as to judge whether there is superposition state. Explain why there is a minimum unit of radiation energy and it shows a multiple relationship. It is proposed that the time in quantum motion is only a parameter, which further strengthens the relationship between gravity and spatial shape. Explain how gravity causes the universe to expand. By combining mathematics, physics and philosophical thinking, the article reveals the complex and subtle mechanisms hidden behind nature.

Preprint ARTICLE | doi:10.20944/preprints202409.2306.v1

Gelfand Triplets, Ladder Operators and Coherent States

Maria Blazquez, Manuel Gadella, Gerardo Jimenez Trejo

Subject: Physical Sciences, Mathematical Physics Keywords: Gelfand triplets; Laguerre-Gauss functions; Coherent states

Online: 29 September 2024 (10:02:49 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v18

Gravity and Riemann Hypothesis

Jun Ze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; Riemann hypothesis; Euler's formula; collision; vibration

Online: 25 September 2024 (15:32:27 CEST)

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Based on the understanding of relativity and quantum mechanics, this paper demonstrates that gravity is the result of spatial shape and dimension changes. The concept of space as dimension is expounded, and the difference between gravitational field space and material space is distinguished. The reason why the photon moves in space at a constant speed of c is explained. The concept of positive and negative energy is discussed, and the microscopic performance of positive energy as compression space and negative energy as stretching space is explained. Trying to understand increases the understanding of micro-uncertainty in dimensions. It explains how matter generates new dimensions in the process of collision, especially through elastic collision to generate different dimensions and energy forms. The hierarchical control of dimension formation and how to achieve dimension balance are mentioned. The influence of dimension on life is discussed, especially how the change of dimension affects the basic properties of matter. proposed four forces that are most easily observed in any dimensional matter and explained their relationship to dimensional change. Through the mapping phenomenon of memory and reality, the role of residual energy is discussed. The concepts of π and e in mathematics are used to explain the process of dimension formation and energy transmission. The application of Riemann hypothesis and in understanding physical phenomena is mentioned. The imbalance between positive energy and negative energy is emphasized. It explains why quantum is both a particle and a wave, and how this characteristic is related to the change of dimension. The only possibility to explain the universe before the change from the vibration. Explain the reason of path integral, so as to judge whether there is superposition state. Explain why there is a minimum unit of radiation energy and it shows a multiple relationship. It is proposed that the time in quantum motion is only a parameter, which further strengthens the relationship between gravity and spatial shape. Explain how gravity causes the universe to expand. By combining mathematics, physics and philosophical thinking, the article reveals the complex and subtle mechanisms hidden behind nature.

Preprint ARTICLE | doi:10.20944/preprints202403.0289.v17

Gravity and Riemann Hypothesis

Jun Ze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; Riemann hypothesis; Euler's formula; collision; vibration

Online: 24 September 2024 (09:18:04 CEST)

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Based on the understanding of relativity and quantum mechanics, this paper demonstrates that gravity is the result of spatial shape and dimension changes. The concept of space as dimension is expounded, and the difference between gravitational field space and material space is distinguished. The reason why the photon moves in space at a constant speed of c is explained. The concept of positive and negative energy is discussed, and the microscopic performance of positive energy as compression space and negative energy as stretching space is explained. Trying to understand increases the understanding of micro-uncertainty in dimensions. It explains how matter generates new dimensions in the process of collision, especially through elastic collision to generate different dimensions and energy forms. The hierarchical control of dimension formation and how to achieve dimension balance are mentioned. The influence of dimension on life is discussed, especially how the change of dimension affects the basic properties of matter. proposed four forces that are most easily observed in any dimensional matter and explained their relationship to dimensional change. Through the mapping phenomenon of memory and reality, the role of residual energy is discussed. The concepts of π and e in mathematics are used to explain the process of dimension formation and energy transmission. The application of Riemann hypothesis and in understanding physical phenomena is mentioned. The imbalance between positive energy and negative energy is emphasized. It explains why quantum is both a particle and a wave, and how this characteristic is related to the change of dimension. The only possibility to explain the universe before the change from the vibration. Explain the reason of path integral, so as to judge whether there is superposition state. Explain why there is a minimum unit of radiation energy and it shows a multiple relationship. It is proposed that the time in quantum motion is only a parameter, which further strengthens the relationship between gravity and spatial shape. By combining mathematics, physics and philosophical thinking, the article reveals the complex and subtle mechanisms hidden behind nature.

Preprint ARTICLE | doi:10.20944/preprints202409.1735.v1

Large Eddy Simulation of the Flow past a Circular Cylinder at Re=130,000: Effects of Numerical Platforms and Single- and Double-Precision Arithmetic

Dmitry A. Lysenko

Subject: Physical Sciences, Mathematical Physics Keywords: large-eddy simulation; circular cylinder; floating point precision; computational fluid dynamics

Online: 23 September 2024 (13:18:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202409.1681.v1

Primordial Perturbations Including Second-Order Derivatives of the Inflationary Potential

Paulo Custodio, Cristian Ricardo Ghezzi, Nadja Simao Magalhaes, Carlos Frajuca

Subject: Physical Sciences, Mathematical Physics Keywords: Primordial perturbations; Inflation; Inflationary potential; Cosmology

Online: 23 September 2024 (12:09:18 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202409.1744.v1

A New Approach to Fermat’s Last Theorem with Several Examples

Gbenga E. Ayodele, Kayode Oshinubi, Olamide Ayodele

Subject: Physical Sciences, Mathematical Physics Keywords: Fermat’ s last theorem Pythagorean’ s triples; right triangle; nth root theorem; Pythagorean’ s equation; mass-momentum energy

Online: 23 September 2024 (10:23:21 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202409.1581.v1

On the Salient Limits of Strings in Assembly Theory

Wawrzyniec Bieniawski, Piotr Masierak, Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; complexity measures; information entropy; mathematical physics

Online: 20 September 2024 (05:20:03 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.1039.v3

Interpretation of Gravity by Entropy

Seiji Fujino

Subject: Physical Sciences, Mathematical Physics Keywords: Entropy, Gravity; Galaxy rotation curve; MOND, Planck's law; Dynamical system; Inverse square law; Logistic function

Online: 17 September 2024 (15:42:03 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v16

Gravity and Riemann Hypothesis

Jun Ze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; Riemann hypothesis; Euler's formula; collision; vibration

Online: 16 September 2024 (13:24:34 CEST)

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Based on the understanding of relativity and quantum mechanics, this paper demonstrates that gravity is the result of spatial shape and dimension changes. The concept of space as dimension is expounded, and the difference between gravitational field space and material space is distinguished. The reason why the photon moves in space at a constant speed of c is explained. The concept of positive and negative energy is discussed, and the microscopic performance of positive energy as compression space and negative energy as stretching space is explained. Trying to understand increases the understanding of micro-uncertainty in dimensions. Guess the time travel hypothesis of black holes and white holes. It explains how matter generates new dimensions in the process of collision, especially through elastic collision to generate different dimensions and energy forms. The hierarchical control of dimension formation and how to achieve dimension balance are mentioned. The influence of dimension on life is discussed, especially how the change of dimension affects the basic properties of matter. proposed four forces that are most easily observed in any dimensional matter and explained their relationship to dimensional change. Through the mapping phenomenon of memory and reality, the role of residual energy is discussed. The concepts of π and e in mathematics are used to explain the process of dimension formation and energy transmission. The application of Riemann hypothesis and in understanding physical phenomena is mentioned. The imbalance of positive and Euler's formula negative energy in the universe is emphasized.How to maintain the balance and stability of the universe through collision and energy transfer is discussed. It explains why quantum is both a particle and a wave, and how this characteristic is related to the change of dimension. The only possibility to explain the universe before the change from the vibration. Explain the reason of path integral, so as to judge whether there is superposition state. It is proposed that the time in quantum motion is only a parameter, which further strengthens the relationship between gravity and spatial shape. By combining mathematics, physics and philosophical thinking, the article reveals the complex and subtle mechanisms hidden behind nature.

Preprint ARTICLE | doi:10.20944/preprints202409.1149.v1

The Two-Thirds Power Law Derived from an Higher-Derivative Action

Nicolas Boulanger, Fabien Buisseret, Frederic Dierick, Olivier White

Subject: Physical Sciences, Mathematical Physics Keywords: Higher-derivative actions; Phase-space; Motor control; Biomechanics; Adiabatic invariant

Online: 16 September 2024 (12:15:27 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202409.1121.v1

On the Damped Pinney Equation from Noether Symmetry Principles

Fernando Haas

Subject: Physical Sciences, Mathematical Physics Keywords: Pinney equation; Noether theorem; Ermakov systems; dissipative systems

Online: 15 September 2024 (07:32:51 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202409.0965.v1

Solving the Dual Generalized Commutative Quaternion Matrix Equation AXB = C

Lei Shi, Qing-Wen Wang, Lv-Ming Xie, Xiao-Feng Zhang

Subject: Physical Sciences, Mathematical Physics Keywords: dual generalized commutative quaternion; matrix equation; solvability conditions; general solution

Online: 12 September 2024 (11:11:34 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202409.0866.v1

A Note on Rényi Entropy Production for Markovian Evolution

Marco Favretti

Subject: Physical Sciences, Mathematical Physics Keywords: stochastic thermodynamics; Kolmogorov-Nagumo mean; Ré; ny entropy production

Online: 11 September 2024 (17:03:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v15

Gravity and Riemann Hypothesis

Jun Ze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; Riemann hypothesis; Euler's formula; collision; vibration

Online: 10 September 2024 (07:57:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v14

Gravity and Riemann Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; Riemann hypothesis; Euler's formula; collision; vibration

Online: 6 September 2024 (13:10:25 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202409.0458.v1

The Adaptation of Laws in Physics: Adaptation of Mathematical Models in Physics

Anatolie Croitoru

Subject: Physical Sciences, Mathematical Physics Keywords: mathematical laws; physics; Euler's exponential laws; space-time dilation; Lorentz transformations ;

Online: 6 September 2024 (02:39:07 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v13

Gravity and Riemann Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 5 September 2024 (12:55:38 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v12

Gravity and Riemann Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 30 August 2024 (23:37:02 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.0604.v2

Solutions of the Mathieu-Hill Equation for the Trapped Ion Harmonic Oscillator. Qualitative Discussion

Bogdan M. Mihalcea

Subject: Physical Sciences, Mathematical Physics Keywords: Mathieu-Hill equation; Floquet theory; Strum-Liouville theorem; electrodynamic trap; stability diagram

Online: 30 August 2024 (08:37:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.1039.v2

Interpretation of Gravity by Entropy

Seiji Fujino

Subject: Physical Sciences, Mathematical Physics Keywords: Entropy, Gravity; Galaxy rotation curve; MOND, Planck's law; Dynamical system; Inverse square law; Logistic function

Online: 28 August 2024 (13:03:40 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v20

The Imaginary Universe (on the Three Complementary Sets of Measurement Units Defining Three Dark Electrons)

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: emergent dimensionality; fine-structure constant; Planck units; dark quantum states, gravitational observations; holographic principle; mathematical physics

Online: 28 August 2024 (13:00:37 CEST)

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Three Fresnel coefficients for the normal incidence of electromagnetic radiation on monolayer graphene establish three complementary fine-structure constants, two of which are negative. Each introduces its own specific set of Planck units. Hence, two sets of basic Planck units are real and two are imaginary. The elementary charge is the same in all those sets of Planck units, establishing equality between the products of each fine-structure constant and the speed of light it is associated with, and defining the dark electron in each of these three complementary systems. All fine-structure constants are related to each other through the constant of pi, which indicates that they do not vary over time. The negative complementary fine-structure constant established by the graphene reflectance is dual to the fine-structure constant. The assumption of universality of the black hole entropy formula to the remaining two stellar objects emitting perfect black-body radiation less dense than a black hole (neutron stars and white dwarfs) renders their energies exceeding their mass-energy equivalence. To accommodate this unphysical result, we introduced an imaginary mass and defined three complex energies in terms of real and imaginary Planck units, storing the surplus energy in their imaginary parts. It follows that black holes are fundamentally uncharged and have a vanishing imaginary mass. We have derived the lower bound on the mass of a charged black-body \textit{object}, the upper bound on a white dwarf radius, and the equilibrium density of all three complex energies. The complex force between real masses and imaginary charges leads to the complex black-body \textit{object's} surface gravity and generalized Hawking radiation complex temperature. Furthermore, based on the Bohr model for the hydrogen atom, we show that complex conjugates of this force represent atoms and antiatoms. The proposed model considers the value(s) of the fine-structure constant(s), which is(are) otherwise neglected in general relativity, and explains the registered (GWOSC) high masses of neutron star mergers and the associated fast radio bursts (CHIME) without resorting to any hypothetical types of exotic stellar objects.

Preprint ARTICLE | doi:10.20944/preprints202212.0045.v19

The Imaginary Universe on the Three Complementary Sets of Measurement Units Established by Three Complementary Fine-Structure Constants

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: emergent dimensionality; fine-structure constant; Planck units; gravitational observations; holographic principle; mathematical physics

Online: 22 August 2024 (08:25:59 CEST)

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Three Fresnel coefficients for the normal incidence of electromagnetic radiation on monolayer graphene establish three complementary fine-structure constants, two of which are negative. Each introduces its own specific set of Planck units. Hence, two sets of basic Planck units are real and two are imaginary. The elementary charge is the same in all those sets of Planck units, establishing equality between the products of each fine-structure constant and the speed of light it is associated with. All fine-structure constants are related to each other through the constant of pi, which indicates that they do not vary over time. The negative complementary fine-structure constant established by the graphene reflectance is dual to the fine-structure constant. The assumption of universality of the black hole entropy formula to the remaining two stellar objects emitting perfect black-body radiation less dense than a black hole (neutron stars and white dwarfs) renders their energies exceeding their mass-energy equivalence. To accommodate this unphysical result, we introduced an imaginary mass and defined three complex energies in terms of real and imaginary Planck units, storing the surplus energy in their imaginary parts. It follows that black holes are fundamentally uncharged and have a vanishing imaginary mass. We have derived the lower bound on the mass of a charged black-body object, the upper bound on a white dwarf radius, and the equilibrium density of all three complex energies. The complex force between real masses and imaginary charges leads to the complex black-body object's surface gravity and generalized Hawking radiation complex temperature. Furthermore, based on the Bohr model for the hydrogen atom, we show that complex conjugates of this force represent atoms and antiatoms. The proposed model considers the value(s) of the fine-structure constant(s), which is(are) otherwise neglected in general relativity, and explains the registered (GWOSC) high masses of neutron star mergers and the associated fast radio bursts (CHIME) without resorting to any hypothetical types of exotic stellar objects.

Preprint ARTICLE | doi:10.20944/preprints202408.1493.v1

Energy of the Moving Particles in 3-Body Problem of Classical Electrodynamics

Vasil Georgiev Angelov

Subject: Physical Sciences, Mathematical Physics Keywords: classical electrodynamics; 3-body problem; energy estimation of the rounding particles

Online: 21 August 2024 (00:17:04 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v11

Gravity and Riemann Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 20 August 2024 (10:44:36 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.1039.v1

Interpretation of Gravity by Entropy

Seiji Fujino

Subject: Physical Sciences, Mathematical Physics Keywords: Entropy, Gravity, Galaxy rotation curve, MOND, Planck's law, Dynamical system, Inverse square law, Logistic function

Online: 14 August 2024 (15:15:39 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.0929.v1

The BiCG Algorithm for Solving the Minimal Frobenius Norm Solution of Generalized Sylvester Tensor Equation over the Quaternions

Mengyan Xie, Qing-Wen Wang, Yang Zhang

Subject: Physical Sciences, Mathematical Physics Keywords: Quaternion tensor; Sylvester tensor equation; Iterative algorithm; Color video restoration

Online: 14 August 2024 (03:05:04 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v10

Gravity and Riemann Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 13 August 2024 (17:08:11 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v9

Gravity and Riemann Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 8 August 2024 (12:41:06 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.0488.v1

Fractianal Calculus for Non-discrete Signed Measures

Vassili N. Kolokoltsov, Elina Shishkina

Subject: Physical Sciences, Mathematical Physics Keywords: general fractional calculus; fractional integral with signed measure; fractional power of first order partial differential operator; quantum mechanic; fractional Poisson brackets; fractional Heisenberg brackets

Online: 7 August 2024 (17:53:26 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.0269.v1

Discovery of Truncated M-fractional Exact Solitons, and Qualitative Analysis to the Generalized Bretherton Model

Haitham Qawaqneh, Khalil Hadi Hakami, Ali Altalbe, Mustafa Bayram

Subject: Physical Sciences, Mathematical Physics Keywords: Generalized Bretherton model; Fractional derivatives; Stability analysis; Mod- ulation instability; Analytical methods; Exact solitons

Online: 6 August 2024 (05:12:12 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.0130.v1

Interaction Solutions for the Fractional KdVSKR Equations in (1+1)-Dimension and (2+1)-Dimension

Lihua Zhang, Zitong Zheng, Bo Shen, Gangwei Wang, Zhenli Wang

Subject: Physical Sciences, Mathematical Physics Keywords: Korteweg-de Vries Sawada-Kotera-Ramani (KdVSKR) equation; extended Korteweg-deVries (KdV) equation; Sawada-Kotera (SK) equation; finite symmetry groups; Lie symmetry; exact solutions; consistent Riccati expansion (CRE); Hirota bilinear method; fractional derivatives

Online: 2 August 2024 (06:04:29 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202408.0032.v1

Modeling Double Stochastic Opinion Dynamics with Fractional Inflow of New Opinions

Vygintas Gontis

Subject: Physical Sciences, Mathematical Physics Keywords: time series and signal analysis; discrete stochastic dynamics; scaling in socio-economic systems; fractional dynamics; quantitative finance

Online: 1 August 2024 (10:20:47 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v8

Gravity and Riemann Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 31 July 2024 (15:09:42 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v7

Gravity and Riemann Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 30 July 2024 (08:59:02 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202407.2365.v1

A Topological Representation of Chiral Spin Liquid by Knot Lattice and Thurston Train Track

Tieyan Si

Subject: Physical Sciences, Mathematical Physics Keywords: Topological order; Spin liquid; Quantum many body system; knot; Train track

Online: 30 July 2024 (04:39:02 CEST)

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A topological representation theory of chiral spin liquid is proposed to unify the integral and fractional quantum Hall fluid based on hyperbolic geometry, knot lattice and Thurston's train track theory. The integral and fractional Hall resistivity obeys an exact unified equation, $R_{xy} = (h/e^2)B_{e}$, $B_{e} = (n+\nu)^{-1}$, with respect to the bulk energy gap ${\Delta}E = {\hbar{e}B_{e}}/{Mc}$. The Wen-Zee matrix formulation of topological fluid for quantum Hall effect is constructed by topological surgery and train track. The chirality of spin liquid is spontaneously distinguished by Jones polynomial. The integral Chern number for Hall conductance is fractionalized by generalizing Thurston's train track to folding laminations in three dimensions, which spontaneously bring fractional quantum Hall fluid and anyons into three dimensions and provided an theoretical explanation on the competing fractional quantum Hall states. The many body system of interacting fermions or bosons are mapped into many interacting liquid droplets that interwind into knot lattice, which provide an effective topological representation for superfluid and superconductor, the strange metal state in superconductor is explained by topological dislocation and topological surgery. The Kauffman decomposition rule in knot theory is extended to describe the topological relations between different two dimensional manifolds, which further reveals the non-trivial relationship between the partition functions of pairing fermions and free electrons. The minimal energy state is the most stable topological state, even thought it maybe shares the same topological number with the excited states. The topological representation theory predicts a circular motion of electrons in hyperbolic space, that is implementable and testable by inhomogeneous magnetic field in three dimensions. The folding lamination representation of topological quantum fluid provides an promising implementation of string theory in high energy physics.

Preprint ARTICLE | doi:10.20944/preprints202407.2043.v1

On The Incompleteness Of Einstein-De Sitter Spacetime

Narayan S Iyer, Ram S Iyer

Subject: Physical Sciences, Mathematical Physics Keywords: einstein-de sitter spacetime; completeness of spacetime; spacetime geometry; general relativity; gravitation

Online: 25 July 2024 (13:34:31 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v6

Gravity and the Riemannian Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 24 July 2024 (10:07:50 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202407.1660.v1

A Hyperbolic Sum Rule for Probability: Solving Recursive (“Chicken & Egg”) Problems

Michael C. Parker, Chris Jeynes, Stuart D. Walker

Subject: Physical Sciences, Mathematical Physics Keywords: QGT; entropy; Venn diagram; Bayes’ Theorem; AI; ML; DSP

Online: 22 July 2024 (09:57:16 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v5

Gravity and the Riemannian Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 18 July 2024 (22:04:43 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v4

Gravity and the Riemannian Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 16 July 2024 (12:41:23 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202407.1172.v1

Lie Symmetries and Classification of Plane Symmetric Static Space-Times

Jing-Li Fu, Yan-Min Li, Hui-Dong Cheng, Xiao-Fan Sun

Subject: Physical Sciences, Mathematical Physics Keywords: static space-times; plane symmetric; Lie symmetry; conserved quantity; classification

Online: 15 July 2024 (13:36:17 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v3

Gravity and the Riemannian Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 11 July 2024 (16:33:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v2

Gravity and the Riemannian Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; ; Riemann hypothesis; Euler's ; formula; collision; vibration

Online: 8 July 2024 (14:26:54 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202407.0187.v1

An XGBoost Approach to Predictive Modelling of Rift Valley Fever Outbreaks in Kenya Using Climatic Factors

Damaris Mulwa, Benedicto Kazuzuru, Gerald Misinzo, Benard Bett

Subject: Physical Sciences, Mathematical Physics Keywords: machine learning models; XGBoost; precision; climatic factors; AUC/ROC curves

Online: 2 July 2024 (10:34:58 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202406.1186.v1

Double PN Benchmark Solution for the 1D Monoenergetic Neutron Transport Equation in Plane Geometry

Barry D. Ganapol

Subject: Physical Sciences, Mathematical Physics Keywords: Neutron transport; Isotropic scattering; Analytic discrete ordinates; Response matrix; Matix diagonalization; Wynn-epsilon acceleration

Online: 18 June 2024 (08:13:38 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202406.0126.v1

Homogeneous Projective Coordinates for the Bondi-Metzner-Sachs Group

Giampiero Esposito, Giuseppe Filiberto Vitale

Subject: Physical Sciences, Mathematical Physics Keywords: Vector fields; Bondi-Metzner-Sachs group; homogeneous projective coordinates

Online: 4 June 2024 (08:47:51 CEST)

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Preprint BRIEF REPORT | doi:10.20944/preprints202405.2080.v1

On the Screened Kratzer Potential and Its Variants

Francisco Fernández

Subject: Physical Sciences, Mathematical Physics Keywords: Kratzer potential; screened Kratzer potential; vibrational-rotational spectrum; dissociation energy; equilibrium bond length

Online: 31 May 2024 (10:01:10 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v18

The Imaginary Universe

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: emergent dimensionality; natural units; fine-structure constant; extended periodic table; entropic gravity; gravitational observations; holographic principle; mathematical physics

Online: 30 May 2024 (08:14:20 CEST)

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Maxwell's equations in vacuum provide the negative speed of light -c, which leads to imaginary Planck units. However, the second, negative fine-structure constant $\alpha_2^{-1} \approx -140.178$, present in the Fresnel coefficients for the normal incidence of electromagnetic radiation on monolayer graphene, establishes the different, negative speed of light in vacuum $c_2 \approx -3.06 \times 10^8~\text{[m/s]}$, which introduces imaginary Planck units different in magnitude from those parametrized with $c$. Furthermore, algebraic relations between the fine-structure constant hint that the fine-structure constant does not vary over time. It follows that electric charges are the same in real and imaginary dimensions. We model neutron stars and white dwarfs, emitting perfect black-body radiation, as \textit{objects} having energy exceeding their mass-energy equivalence ratios. We define complex energies in terms of real and imaginary natural units. Their imaginary parts, inaccessible for direct observation, store the excess of these energies. It is conjectured that the maximum atomic number $Z=238$. A black-body \textit{object} is in the equilibrium of complex energies if its radius $R_\text{eq} \approx 1.3833~R_{\text{BH}}$, which is close to the photon sphere radius $R_{\text{ps}}=1.5~R_{\text{BH}}$, and marginally greater than a locally negative energy density bound of $4/3~R_{\text{BH}}$. The complex force between real masses and imaginary charges leads to the black-body object's surface gravity and generalized Hawking radiation temperature, which includes its charge. Furthermore, this force agrees with the physical parameters of the hydrogen atom. The proposed model takes into account the value(s) of the fine-structure constant(s), which is/are otherwise neglected in general relativity, and explains the registered (GWOSC) high masses of neutron stars' mergers and the associated fast radio bursts (CHIME) without resorting to any hypothetical types of exotic stellar \textit{objects}.

Preprint ARTICLE | doi:10.20944/preprints202405.1898.v1

Intertwining Between Temperature, Amount of Mixture, and Particle Number, in a Paradigmatic Many-Fermion Problem

Diana Monteoliva, Angelo Plastino, Angel Ricardo Plastino

Subject: Physical Sciences, Mathematical Physics Keywords: Likpin model; many fermion systems; mixture-degree; finite temperature; SU2 symmetrys

Online: 29 May 2024 (07:28:12 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202405.1475.v1

Quantum Stability of Hamiltonian Evolution on a Finsler Manifold

GIL ELGRESSY, LAWRENCE HORWITZ

Subject: Physical Sciences, Mathematical Physics Keywords: geometrization of quantum mechanical evolution; Finsler geometry; geodesic equation; quantum effect; local instability

Online: 23 May 2024 (02:55:42 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201809.0417.v4

Geometric Interpretation of the Minkowski Metric

Thomas Merz

Subject: Physical Sciences, Mathematical Physics Keywords: Minkowski space; spacetime; contravariant transformation; mixed basis; geometric interpretation; special relativity

Online: 20 May 2024 (00:03:03 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v11

Assembly Theory of Binary Messages

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; shortest addition chains; P versus NP problem; ; mathematical physics

Online: 15 May 2024 (04:02:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.1990.v1

Fractal and Complex Patterns Existing in Music: Application to the Composition Diaphonies of Michael Paouris

Dimitrios Nikolopoulos, Ermioni Petraki

Subject: Physical Sciences, Mathematical Physics Keywords: fractal; power-law; complexity; deterministic-fractal music

Online: 30 April 2024 (14:30:21 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v10

Assembly Theory of Binary Messages

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; shortest addition chains; P versus NP problem; ; mathematical physics

Online: 30 April 2024 (11:56:33 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v9

Assembly Theory of Binary Messages

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; shortest addition chains; P versus NP problem; ; mathematical physics

Online: 19 April 2024 (10:20:42 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v8

Assembly Theory of Binary Messages (How to Assemble a Black Hole and Use it to Assemble New Binary Information?)

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; black holes; shortest addition chains; P versus NP problem; ; quantum orthogonalization interval theorems; mathematical physics; binputation

Online: 15 April 2024 (04:22:22 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v7

Assembly Theory of Binary Messages (How to Assemble a Black Hole and Use it to Assemble New Binary Information?)

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; black holes; shortest addition chains; P versus NP problem; ; quantum orthogonalization interval theorems; second law of infodynamics; mathematical physics; binputation

Online: 7 April 2024 (05:34:12 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0394.v1

The Second-Order Features Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (2nd-FASAM-L): Mathematical Framework and Illustrative Application to an Energy System

Dan Gabriel Cacuci

Subject: Physical Sciences, Mathematical Physics Keywords: exact computation of first- and second-order sensitivities of model responses to features of model parameters; first- and second-level adjoint sensitivity systems; neutron slowing down and transport

Online: 5 April 2024 (11:01:27 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.1417.v2

New Estimates of the Potential Schrödinger Equation

Asset Durmagambetov

Subject: Physical Sciences, Mathematical Physics Keywords: Schrö; dinger equation; Poincaré; – Riemann– Hilbert boundary-value problem; unitary scattering operator; quantum scattering theory

Online: 4 April 2024 (12:35:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0118.v1

New Solution of the Grain Boundary Grooving Problem in Polycrystalline Thin Films when Evaporation and Diffusion meet in Power Electronic Devices

Tayssir Hamieh, Ali Ibrahim, Zoubir Khatir

Subject: Physical Sciences, Mathematical Physics Keywords: Mathematical solution; evaporation-condensation; diffusion; groove formation; degradation; thermal fatigue; electronic devices

Online: 1 April 2024 (16:25:00 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.1873.v1

On complex dynamics in a Suris's integrable map

Yasutaka Hanada, Akira Shudo

Subject: Physical Sciences, Mathematical Physics Keywords: dynamical tunneling; integrable map; complex classical dynamics

Online: 1 April 2024 (10:14:39 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.1417.v1

New Estimates of the Potential Schrödinger Equation

Asset Durmagambetov

Subject: Physical Sciences, Mathematical Physics Keywords: Schrö; dinger equation; Poincaré; – Riemann– Hilbert boundary-value problem; unitary scattering operator; quantum scattering theory

Online: 26 March 2024 (11:14:11 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1313.v1

Rotation Matrix of a Charged Symmetrical Body: One-Parameter Family of Solutions in Elementary Functions

Alexei A. Deriglazov

Subject: Physical Sciences, Mathematical Physics Keywords: Euler-Poisson equations; exact solutions in elementary functions; constrained systems; integrable systems; spinning body in external fields

Online: 26 March 2024 (03:02:20 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v6

Assembly Theory of Binary Messages (How to Assemble a Black Hole and Use it to Assemble New Binary Information?)

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; black holes; complexity measures; P versus NP problem; ; quantum orthogonalization interval theorems; second law of infodynamics; mathematical physics; binputation

Online: 20 March 2024 (04:38:20 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0977.v1

The Wave Equation for the Moving Source and the Moving Receiver

Hrvoje Dodig

Subject: Physical Sciences, Mathematical Physics Keywords: Standard wave equation; Wave propagation; Moving receiver; Moving source

Online: 18 March 2024 (10:08:28 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v5

Assembly Theory of Binary Messages (How to Assemble a Black Hole and Use it to Assemble New Binary Information?)

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; holographic principle; black holes; complexity measures; P versus NP problem; Gö; del's incompleteness theorems; halting problem; elegant program; Fibonacci sequence; Collatz conjecture; addition chains; quantum orthogonalization interval theorems; second law of infodynamics; mathematical physics; binputation

Online: 14 March 2024 (10:02:52 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0785.v1

The Computational Universe: EPR Paradox and Pre-Measure Reality, Actual Time in Spacetime, Free Will and the Classical Limit Problem in Quantum Loop Gravity, Causal Dynamical Triangulation and Holographic Principle

Piero Chiarelli, Simone Chiarelli

Subject: Physical Sciences, Mathematical Physics Keywords: EPR Paradox, Pre.existing reality, Quantum to classical coexsistence, Actual Time in Spacetime, Free Will,

Online: 13 March 2024 (14:09:14 CET)

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The Simulation analogy presented in this work enhances the accessibility of abstract quantum theories, specifically the stochastic hydrodyanimc model (SQHM), by relating them to our daily experiences. The SQHM incorporates the influence of fluctuating gravitational background, resembling dark energy, into quantum equations. This model successfully addresses key aspects of Objective-Collapse Theories, including resolving the 'tails' problem through the definition of quantum potential length in addition to the De Broglie length, beyond which coherent Schrödinger quantum behavior and wavefunction tails cannot be maintained. The SQHM emphasizes that an external environment is unnecessary, asserting that the quantum stochastic behavior leading to wave-function collapse can be an inherent property of a system in a spacetime with fluctuating metrics. Embedded in relativistic quantum mechanics, the theory establishes a coherent link between the uncertainty principle and the constancy of light speed, aligning seamlessly with finite information transmission speed. Within a fluctuating quantum system, the SQHM derives the indeterminacy relation between energy and time, offering insights into measurement processes impossible within a finite time interval in a truly quantum global system. Experimental validation is found in confirming the Lindemann constant for solid lattice melting points and the transition from fluid to superfluid states. The SQHM's self-consistency lies in its ability to describe wavefunction collapse and the measure process. Additionally, the theory resolves the Pre-existing Reality problem by showing that large-scale systems naturally decay into decoherent states stable in time. Continuing, the paper demonstrates that the physical dynamics of SQHM can be analogized to a computer simulation employing optimization procedures for realization. This perspective elucidates the concept of time in contemporary reality and enriches our comprehension of free will. The overall framework introduces an irreversible process impacting the manifestation of macroscopic reality at the present time, asserting that the multiverse exists solely in future states, with the past comprising the formed universe after the current moment. Decoherence at the present time functions as a reduction of the multiverse to a single universe. The macroscopic reality, characterized by fractal consistency where microscopic domains with quantum properties coexist, provides insights into how our consciousness apprehends dynamic reality, the spontaneous emergence of gravity in discrete spacetime evolution, and the attainment of the classical General Relativity limit in Quantum Loop Gravity and Causal Dynamical Triangulation. The Simulation Analogy highlights a strategy focused on minimizing information processing, facilitating the universal simulation in solving its predetermined problem. From within, reality becomes the manifestation of specific physical laws emerging from the inherent structure of the simulation devised to address its particular issue. In this context, the reality simulation appears to employ an entropic optimization strategy, minimizing information loss while efficiently compressing data in line with the simulation's intended purpose.

Preprint ARTICLE | doi:10.20944/preprints202401.1113.v4

Assembly Theory of Binary Messages (How to Assemble a Black Hole and Use it to Assemble New Binary Information?)

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; holographic principle; black holes; complexity measures; P versus NP problem; Gö; del's incompleteness theorems; halting problem; elegant program; Fibonacci sequence; addition chains; quantum orthogonalization interval theorems; second law of infodynamics; mathematical physics; binputation

Online: 8 March 2024 (11:02:28 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.0599.v2

Quantum Hydrodynamics in External Magnetic Fields: From Nonrelativistic to Relativistic Regimes

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: nonrelativistic quantum electrodynamics; NRQED; background magnetic field; gauge invariance; Lagrangian; electron self-interactions; electromagnetic field interactions; path integral formalism; effective action; photon propagator; screening effects; density components; current components; Laurent expansions; hydrodynamic limit; equations of motion; Poiseuille-like flow; Navier-Stokes equation; relativistic hydrodynamics; linearized equations; nonrelativistic limit; quantum electrodynamical analysis

Online: 7 March 2024 (09:33:28 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0289.v1

Gravity and the Riemannian Hypothesis

Junze Shi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; Riemann hypothesis; Euler's formula

Online: 6 March 2024 (11:04:14 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0311.v1

Fiber Structure and Stability Theorems for Symmetry Breaking Transitions

Eve Bodnia

Subject: Physical Sciences, Mathematical Physics Keywords: Fiber bundle, phase transitions, Lie groups, homotopy,
fundamental group, Stability Theorem, Stability Lemma, Fiber Structure
Theorem, superfluid Helium

Online: 6 March 2024 (10:15:05 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v3

Assembly Theory of Binary Messages (How to Assemble a Black Hole and Use it to Assemble New Binary Information?)

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; holographic principle; black holes; complexity measures; P versus NP problem; Gö; del's incompleteness theorems; halting problem; elegant program; quantum orthogonalization interval theorems; second law of infodynamics; mathematical physics; binputation

Online: 5 March 2024 (06:39:56 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0099.v1

The Equations and Their Effects

Carlos Eduardo Ramos Cardoso

Subject: Physical Sciences, Mathematical Physics Keywords: multiplication and addition equations; division equations; subtraction equations;
physical concepts

Online: 4 March 2024 (10:36:26 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1113.v2

Assembly Theory of Binary Messages (How to Assemble a Black Hole and Use it to Assemble New Binary Information?)

Szymon Łukaszyk, Wawrzyniec Bieniawski

Subject: Physical Sciences, Mathematical Physics Keywords: assembly theory; emergent dimensionality; holographic principle; black holes; complexity measures; P versus NP problem; Gö; del's incompleteness theorems; halting problem; elegant program; quantum orthogonalization interval theorems; second law of infodynamics; mathematical physics

Online: 27 February 2024 (08:02:17 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1320.v1

The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations

Yue Zhang, Qing-Wen Wang, Lv-Ming Xie

Subject: Physical Sciences, Mathematical Physics Keywords: Commutative quaternion algebra; Matrix equations; Hermitian matrix; Complex representation

Online: 22 February 2024 (15:08:30 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.1290.v1

Non-Linear Coordinate Transformations at Homogeneous Electron Gases

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: Hydrodynamical limit; Homogeneous electron gases; Non-linear coordinate transformations; Infrared limit; Phenomenological hydrodynamics; Normal modes; Harmonic system

Online: 22 February 2024 (09:52:46 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.1200.v1

Quasinormal Modes at Electron Plasmas

Anna Maria Wojtyra, Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: Lifshitz black holes; holography; quasinormal modes; shear sector modes; small star limit; Reissner-Nordströ; m-AdS; hydrodynamical modes; flux analysis; infrared limit; holographic techniques

Online: 22 February 2024 (01:44:00 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.1215.v1

Exact Renormalization Group Dynamics through Schrödinger-Type Equations

Anna Maria Wojtyra, Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: Exact Renormalisation Group; Quantum Mechanics; Schrö; dinger-Type Equation; Wilsonian Renormalisation Group; Quantum Field Theory; Functional Quantum Mechanics; Inflation; Scalar Field

Online: 21 February 2024 (15:02:25 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.0604.v2

QUENCH: Quantum Unraveling in Enhanced Nonlinear CTP Hydrodynamics

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: Dissipative Hydrodynamics, Schwinger-Keldysh Field Theory, Navier-Stokes Equations, Long-Range Massless Modes, Fluid Dynamics, Volume-Preserving Diffeomorphisms, Closed-Time-Path Formalism, Hydrodynamic Correlation Functions, Effective Field Theory, Non-Relativistic Fluid Dynamics, Systematic Treatment, Second Order in Derivatives, Energy-Momentum Balance Equation, Hydrodynamic Transport, Gravitational Anomaly, Quasinormal Modes, Holography, Entropy Production, Conformal Invariance

Online: 21 February 2024 (09:20:45 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1141.v1

Dirac field, van der Waals gas, Weyssenhoff fluid, Newton particle

Luca Fabbri

Subject: Physical Sciences, Mathematical Physics Keywords: Dirac spinor; polar form; effective approximation; thermodynamics; non-relativistic limit; classical limit

Online: 20 February 2024 (13:35:36 CET)

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Preprint ARTICLE | doi:10.20944/preprints202308.0515.v2

Induced Electrostatic Fields in the Presence of Conductors and Dielectrics: A Purely Laplace Equation-Based Treatment

George Bjornsen

Subject: Physical Sciences, Mathematical Physics Keywords: potential; field; uniqueness; Legendre polynomial

Online: 20 February 2024 (06:06:22 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.0215.v2

PRODIGY: Probing Resilience Of Domain-wall Interactions at Gauge Theory

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: axion-dilaton model; supergravity; domain walls; holographic vitrification action; gauge theories; periodic vacuum structures; QCD-like axion term; stabilizing dilaton; conductivity changes; weak disorder; perfect conductivity; leading-order conductivity correction; strong disorder; insulator state; comprehensive understanding; resilience; behavior; varying conditions

Online: 19 February 2024 (08:17:03 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.0767.v1

Analytic Resonance and Model Harmony in Non-linear Oscillators

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: Quantum Oscillators; Oscillons; Sine-Gordon Breather; Weak Coupling Limit; Semi-Classical Quantization; Stability Angles; Field Configurations; Mathematical Physics

Online: 14 February 2024 (09:40:55 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0699.v1

In Quest of BRST Symmetry and Observables in 4D Topological Gauge-Affine Gravity

Oussama Abdelghafour BELARBI, Ahmed Meziane

Subject: Physical Sciences, Mathematical Physics Keywords: Topological models of gravity; topological gauge-affine gravity; Off-shell nilpotent BRST and anti-BRST algebra; Descent equations; Topological observables

Online: 13 February 2024 (08:07:00 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.0669.v1

Renormalization and Thermodynamics of Probe-D-Branes: Wilsonian RG Analysis and Infrared Regime Studies

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: Probe-D-Branes; Wilsonian Renormalization Group; Dirac-Born-Infeld Action; Holographic Renormalization; Infrared Regime; Thermodynamics; Grand Potential; RG Equation; String Theory; Higher-Dimensional Spacetime; Counter-Terms; Convergence; Renormalization Constants; Temperature Effects; Supergravity; AdS/CFT Correspondence; Mirror Symmetry

Online: 13 February 2024 (05:58:39 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.0604.v1

QUENCH: Quantum Unraveling in Enhanced Nonlinear CTP Hydrodynamics

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: Dissipative Hydrodynamics, Schwinger-Keldysh Field Theory, Navier-Stokes Equations, Long-Range Massless Modes, Fluid Dynamics, Volume-Preserving Diffeomorphisms, Closed-Time-Path Formalism, Hydrodynamic Correlation Functions, Effective Field Theory, Non-Relativistic Fluid Dynamics, Systematic Treatment, Second Order in Derivatives, Energy-Momentum Balance Equation, Hydrodynamic Transport, Gravitational Anomaly, Quasinormal Modes, Holography, Entropy Production, Conformal Invariance

Online: 10 February 2024 (17:50:22 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.0599.v1

Quantum Hydrodynamics in External Magnetic Fields: From Nonrelativistic to Relativistic Regimes

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: nonrelativistic quantum electrodynamics; NRQED; background magnetic field; gauge invariance; Lagrangian; electron self-interactions; electromagnetic field interactions; path integral formalism; effective action; photon propagator; screening effects; density components; current components; Laurent expansions; hydrodynamic limit; equations of motion; Poiseuille-like flow; Navier-Stokes equation; relativistic hydrodynamics; linearized equations; nonrelativistic limit; quantum electrodynamical analysis

Online: 9 February 2024 (16:07:16 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0539.v1

Restricted Singular Value Decomposition for a Tensor Triplet under T-product and Its Applications

Chong-Quan Zhang, Qing-Wen Wang, Xiang-Xiang Wang, Zhuo-Heng He

Subject: Physical Sciences, Mathematical Physics Keywords: Multilinear algebra; restricted singular value decomposition; tensor SVD

Online: 9 February 2024 (10:03:47 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0425.v1

Direct Link Between Energy and Information via Fisher’s Measure

F. Pennini, Angelo Plastino

Subject: Physical Sciences, Mathematical Physics Keywords: Fisher information; Poisson distribution; energy variance

Online: 7 February 2024 (08:12:48 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1963.v2

How Much Cosmic Time Does It Take for a Star to Collapse Forming a Black Hole?

Jaume Haro

Subject: Physical Sciences, Mathematical Physics Keywords: gravitational contraction; cosmic time; event horizon; black holes

Online: 7 February 2024 (08:11:14 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202402.0419.v1

Exploring Dilaton Dynamics: Gravitational Lensing and Cosmological Implications

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: entanglement; quantum geometry; gauge/gravity duality; Ryu-Takayanagi formula; quantum error correction; primordial fluctuations; quantum magnetism; Casimir effect; topological quantum computation; condensed matter physics; dark matter; weak gravitational lensing, quantum chaos; black hole thermodynamics; lattice QCD; entanglement entropy; renormalization group; asymptotic freedom; holographic dualities; non-abelian Berry curvature

Online: 7 February 2024 (08:10:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0385.v1

On the Conjecture over Dimensions of Associated Lie Algebra to the Isolated Singularities

Naveed Hussain, Ahmad N. Al-Kenani, Muhammad Asif

Subject: Physical Sciences, Mathematical Physics Keywords: hypersurface singularity; inequality conjecture.; derivation Lie algebra; fewnomial isolated singularities; Lie algebra

Online: 6 February 2024 (15:34:01 CET)

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Preprint REVIEW | doi:10.20944/preprints202401.0992.v2

The Language of Spheres in Physics

Jean-Pierre Gazeau

Subject: Physical Sciences, Mathematical Physics Keywords: Numbers; Symmetry; Group Theory; Spheres

Online: 6 February 2024 (09:39:19 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0316.v1

The Dual Quaternion Matrix Equation AXB=C with Applications

Yan Chen, Qing-Wen Wang, Lv-Ming Xie

Subject: Physical Sciences, Mathematical Physics Keywords: Dual Quaternion; Moore-Penrose inverse; ϕ-Hermitian solution; matrix equations

Online: 6 February 2024 (09:14:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0280.v1

General Relativistic Hydrodynamics in Discrete Spacetime: Perfect Fluid Accretion onto Static and Spinning Black Holes

Jonathan Gorard

Subject: Physical Sciences, Mathematical Physics Keywords: General Relativity; Relativistic Hydrodynamics; Discrete Spacetime; Black Hole Accretion

Online: 5 February 2024 (15:35:16 CET)

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We study the problem of a spherically-symmetric distribution of a perfect relativistic fluid accreting onto a (potentially spinning) black hole within a fully discrete spacetime setting. This problem has previously been studied extensively in the context of continuum spacetimes, beginning with the purely analytic work of Bondi in the spherically-symmetric Newtonian case, Michel in the spherically-symmetric general relativistic case, and Petrich, Shapiro and Teukolsky in the axially-symmetric general relativistic case relevant for spinning black holes. However, the purpose of the present work is to determine the effect of discretization of the underlying spacetime upon the mass/energy and momentum accretion rates, the overall morphology and characteristics of the accretion flow, and the drag force exerted on the black hole in the case of non-zero spin. In order to achieve this, we first develop a novel formulation of the equations of general relativistic hydrodynamics that is more directly amenable to rigorous analysis within a discrete spacetime setting, and we then proceed to implement this formulation into the \textsc{Gravitas} computational general relativity framework. Through a combination of mathematical analysis and explicit numerical simulation in \textsc{Gravitas}, we discover that the mass/energy and momentum accretion rates both decrease monotonically as functions of the underlying spacetime discretization scale, with this effect becoming more pronounced for higher values of the black hole spin parameter, higher fluid temperatures, and stiffer equation of state parameters. We also find that the exerted drag force is highly sensitive to the value of the underlying discretization scale in the case of spinning black hole spacetimes, with certain instabilities becoming significantly more pronounced at certain critical values of the discretization parameter. We discuss some potentially observable consequences of these results, as well as some directions for future theoretical investigation.

Preprint COMMUNICATION | doi:10.20944/preprints202402.0215.v1

PRODIGY: Probing Resilience Of Domain-wall Interactions at Gauge Theory

Matthew James Stephenson

Subject: Physical Sciences, Mathematical Physics Keywords: axion-dilaton model; supergravity; domain walls; holographic vitrification action; gauge theories; periodic vacuum structures; QCD-like axion term; stabilizing dilaton; conductivity changes; weak disorder; perfect conductivity; leading-order conductivity correction; strong disorder; insulator state; comprehensive understanding; resilience; behavior; varying conditions

Online: 5 February 2024 (10:57:24 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1963.v1

How Much Cosmic Time Does It Take for a Star to Collapse Forming a Black Hole?

Jaume Haro

Subject: Physical Sciences, Mathematical Physics Keywords: gravitational contraction; cosmic time; event horizon; black holes

Online: 29 January 2024 (04:00:29 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1419.v1

Fisher Information for a System of a Combination of Similar Potential Models

Clement Atachegbe Onate, I.B. Okon, E.S. Eyube, Ekwevugbe Omugbe, K.O Emeje, M.C Onyeaju, Olumide Ajani, Jacob Akinpelu

Subject: Physical Sciences, Mathematical Physics Keywords: Bound state; Wave equation; Eigensolution; Fisher information; Potential model

Online: 18 January 2024 (12:25:39 CET)

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