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Preprint ARTICLE | doi:10.20944/preprints202305.1438.v2

Collision Entropy Estimation in a One-Line Formula

Alessandro Gecchele

Subject: Physical Sciences, Mathematical Physics Keywords: Rényi entropies; collision entropy estimation; collision entropy rate estimation

Online: 24 May 2023 (04:45:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.1553.v1

Is it Possible to Arbitrarily Slow Down Time in a Limited Volume With an Energy-Impulse Tensor Whose Components Can be Reduced Arbitrarily? Part I:Introduction

gianluca perniciano

Subject: Physical Sciences, Mathematical Physics Keywords: Warp bubble; general relativity; bolle di curvatura; gianluca perniciano; time machine; c.t.c

Online: 23 May 2023 (03:53:38 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.1438.v1

Collision Entropy Estimation in a One-Line Formula

Alessandro Gecchele

Subject: Physical Sciences, Mathematical Physics Keywords: Rényi entropies; collision entropy estimation; collision entropy rate estimation

Online: 19 May 2023 (11:19:36 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.1432.v1

New Wave Solutions for the Two-Mode Caudrey-Dodd-Gibbon Equation

Rodica Cimpoiasu, Radu Constantinescu

Subject: Physical Sciences, Mathematical Physics Keywords: Two-mode Caudrey-Dodd-Gibbon equation; Kudryashov method; exponential-expansion method; dual-wave solutions; symbolic computation

Online: 19 May 2023 (10:38:22 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v13

The Imaginary Universe

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: emergent dimensionality; imaginary dimensions; natural units; fine-structure constant; black holes; neutron stars; white dwarfs; patternless binary messages; complex energy; complex force; Hawking radiation; extended periodic table; general relativity; entropic gravity; holographic principle; mathematical physics

Online: 8 May 2023 (10:45:18 CEST)

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Maxwell’s Equations in vacuum provide the negative speed of light $-c$, which leads to the imaginary set of base Planck units. However, the second, negative fine-structure constant $\alpha_2^{-1} \approx -140.178$, present in Fresnel coefficients for the normal incidence of electromagnetic radiation on monolayer graphene, establishes the different negative speed of light in vacuum $c_n \approx -3.06 \times 10^8~\text{[m/s]}$, which introduces the imaginary set of base Planck units different in magnitude from the ones parametrized with $c$. 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 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 follows that black holes are fundamentally uncharged, charged micro neutron stars and white dwarfs with masses lower than $5.7275 \times 10^{-10}~[\text{kg}]$ are inaccessible for direct observation, and the radii of white dwarfs' cores are limited to $R_{\text{WD}} < 3.3967~R_{\text{BH}}$, where $R_{\text{BH}}$ is the Schwarzschild radius of a white dwarf mass. It is conjectured that the maximum atomic number $Z=238$. A black-body object is in the equilibrium of complex energies of masses, charges, and photons if its radius $R_\text{eq} \approx 1.3833~R_{\text{BH}}$, which is marginally greater than a locally negative energy density bound of $4/3~R_{\text{BH}}$. Complex Newton’s law of universal gravitation, based on complex energies, leads to the black-body object's surface gravity and the generalized Hawking radiation temperature, which includes its charge. 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 objects.

Preprint ARTICLE | doi:10.20944/preprints202305.0066.v1

Interpretation of Entropy by Complex Fluid Dynamics

Seiji Fujino

Subject: Physical Sciences, Mathematical Physics Keywords: Entropy; Complex Fluid Dynamics; Boltzmann principle; Planck law

Online: 2 May 2023 (07:26:37 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202304.1218.v1

Overlapping of Lévai’s and Milson’s E-Tangent-Polynomial Potentials along Symmetric Curves

Gregory Natanson

Subject: Physical Sciences, Mathematical Physics Keywords: rational Sturm-Liouville equation; Liouville transformation; complex Jacobi polynomials, classical Jacobi polynomials, Romanovski-Routh polynomials, Masjed-Jamei polynomials; quasi-rational solutions, almost-everywhere holomorphic solutions

Online: 29 April 2023 (06:02:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202304.1109.v1

Classical Solutions for the Generalized Kawahara-KdV System

S. Georgiev, A. Boukarou, K. Bouhali, Kh. Zennir, H. Elkhair, E. Hassan, A. Alfedeel, A. Alarfaj

Subject: Physical Sciences, Mathematical Physics Keywords: Fractional derivatives; Generalized Kawahara-KdV system; existence; classical solution.

Online: 28 April 2023 (04:39:42 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202304.1072.v1

A Novel Algebraic System in Quantum Field Theory

Abdulaziz Alhaidari, Abdallah Laradji

Subject: Physical Sciences, Mathematical Physics Keywords: algebraic system; parity; fields; addition and subtraction rules; spectral parameters; Feynman diagrams; quantum field theory

Online: 27 April 2023 (10:29:51 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202304.1051.v1

ELoran Propagation Delay Prediction Model Based on BP Neural Network for Complex Meteorological Environment

Shiyao LIU, Wei GUO, Yu HUA, Wudian KOU

Subject: Physical Sciences, Mathematical Physics Keywords: eLoran; meteorological factor; propagation delay prediction model; Back-Propagation neural network

Online: 27 April 2023 (05:52:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v12

The Imaginary Universe

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: emergent dimensionality; imaginary dimensions; natural units; fine-structure constant; black holes; neutron stars; white dwarfs; patternless binary messages; complex energy; complex force; Hawking radiation; extended periodic table; general relativity; entropic gravity; holographic principle; mathematical physics

Online: 17 April 2023 (03:09:25 CEST)

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Imaginary dimensions in physics require an imaginary set of base natural units and some negative parameter $c_n$ corresponding to the speed of light in vacuum $c$. The second, negative fine-structure constant $\alpha_2^{-1} \approx -140.178$ is present in Fresnel coefficients for the normal incidence of electromagnetic radiation on monolayer graphene, leading to these imaginary natural units, and it establishes $c_n \approx -3.06 \times 10^8~\text{[m/s]}$. 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 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 follows that black holes are fundamentally uncharged, charged micro neutron stars and white dwarfs with masses lower than $5.7275 \times 10^{-10}~[\text{kg}]$ are inaccessible for direct observation, and the radii of white dwarfs' cores are limited to $R_{\text{WD}} < 3.3967~R_{\text{BH}}$, where $R_{\text{BH}}$ is the Schwarzschild radius of a white dwarf mass. It is conjectured that the maximum atomic number $Z=238$. A black-body object is in the equilibrium of complex energies of masses, charges, and photons if its radius $R_\text{eq} \approx 1.3833~R_{\text{BH}}$, which is marginally greater than a locally negative energy density bound of $4/3~R_{\text{BH}}$. Complex Newton’s law of universal gravitation, based on complex energies, leads to the black-body object's surface gravity and the generalized Hawking radiation temperature, which includes its charge. 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 objects.

Preprint ARTICLE | doi:10.20944/preprints202302.0144.v2

On Quantization, Contextuality & the Koopman-von Neumann Formulation

Fritiof Wallentin

Subject: Physical Sciences, Mathematical Physics Keywords: Quantization; Koopman-von Neumann formulation; contextuality; classical statistical mechanics; Reductionism; the Classical limit

Online: 14 April 2023 (02:41:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v11

The Imaginary Universe

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: emergent dimensionality; imaginary dimensions; natural units; fine-structure constant; black holes; neutron stars; white dwarfs; patternless binary messages; complex energy; complex force; Hawking radiation; extended periodic table; photon sphere; general relativity; entropic gravity; holographic principle; mathematical physics

Online: 10 April 2023 (05:17:51 CEST)

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Imaginary dimensions in physics require an imaginary set of base Planck units and some negative parameter $c_n$ corresponding to the speed of light in vacuum $c$. The second, negative fine-structure constant $\alpha_2^{-1} \approx -140.178$ is present in Fresnel coefficients for the normal incidence of electromagnetic radiation on monolayer graphene, leading to these imaginary Planck units, and it establishes $c_n \approx -3.06 \times 10^8~\text{[m/s]}$. 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 objects having energy exceeding their mass-energy equivalence ratios. We define complex energies in terms of real and imaginary Planck units. Their imaginary parts, inaccessible for direct observation, store the excess of these energies. It follows that black holes are fundamentally uncharged, charged micro neutron stars and white dwarfs with masses lower than $5.7275 \times 10^{-10}~[\text{kg}]$ are inaccessible for direct observation, and the radii of white dwarfs' cores are limited to $R_{\text{WD}} < 6.7933~G M_{\text{WD}}/c^2$. It is conjectured that the maximum atomic number $Z=238$. A black-body object is in the equilibrium of complex energies of masses, charges, and photons if its radius $R_\text{eq} \approx 2.7665~G M_{\text{BBO}}/c^2$, which corrects the value of the photon sphere radius $R_{\text{ps}}=3G M/c^2$, by taking into account the value(s) of the fine-structure constant(s), which is otherwise neglected in general relativity. Complex Newton’s law of universal gravitation, based on complex energies, leads to the black-body object's surface gravity and the generalized Hawking radiation temperature, which includes its charge. The proposed model 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 objects.

Preprint ARTICLE | doi:10.20944/preprints202212.0045.v10

The Imaginary Universe

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: emergent dimensionality; imaginary dimensions; Planck units; fine-structure constant; black holes; neutron stars; white dwarfs; patternless binary messages; complex energy; complex force; extended periodic table; photon sphere; general relativity; entropic gravity; holographic principle; mathematical physics

Online: 3 April 2023 (11:08:11 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v9

The Imaginary Universe

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: emergent dimensionality; imaginary dimensions; Planck units; fine-structure constant; black holes; neutron stars; white dwarfs; patternless binary messages; complex energy; complex force; extended periodic table; photon sphere; general relativity; entropic gravity; holographic principle; mathematical physics

Online: 27 March 2023 (15:46:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202303.0314.v1

Covariant Compactification: a Radical Revision of Kaluza-Klein Unification

Tom Lawrence

Subject: Physical Sciences, Mathematical Physics Keywords: Compactification; Kaluza-Klein; Unification; Gravity; Gauge fields; Symmetry breaking; Product manifolds; General relativity; Field equation; Orbits and sta-bilisers

Online: 17 March 2023 (02:57:45 CET)

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Preprint ARTICLE | doi:10.20944/preprints202303.0226.v1

Non-Vacuum Solutions, Gravitational Collapse and Discrete Singularity Theorems in Wolfram Model Systems

Jonathan Gorard

Subject: Physical Sciences, Mathematical Physics Keywords: general relativity; singularity theorems; discrete spacetime

Online: 13 March 2023 (09:58:15 CET)

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The celebrated geodesic congruence equation of Raychaudhuri, together with the resulting singularity theorems of Penrose and Hawking that it enabled, yield a highly general set of conditions under which a spacetime (or, more generically, a pseudo-Riemannian manifold) is expected to become geodesically incomplete. However, the proofs of these theorems traditionally depend upon a collection of assumptions about the continuum spacetime (and, in the physical case, the stress-energy distribution defined over it), including its global structure, its energy conditions, the existence of trapped null surfaces and the various volume/intersection properties of geodesic congruences, that are inherently difficult to translate to the case of discrete spacetime formalisms, such as causal set theory or the Wolfram model. Some, such as the discrete analog of Raychaudhuri's equation for the volumes of geodesic congruences, are subtle to formulate due to intrinsic differences in the behavior of discrete vs. continuous geodesics; for others, such as the definition of a trapped null surface, no appropriate translation is known for the general discrete case due to a lack of a priori coordinate information. It is therefore a non-trivial question to ask whether (and to what extent) there exist equivalently general conditions under which one expects discrete spacetimes to become geodesically incomplete, and how these conditions might differ from those in the continuum. This article builds upon previous work, in which the conformal and covariant Z4 (CCZ4) formulation of the Cauchy problem for the Einstein field equations, with constraint-violation damping, was defined in terms of Wolfram model evolution over discrete (spatial) hypergraphs for the case of vacuum spacetimes, and proceeds to consider a minimal extension to the non-vacuum case by introducing a massive scalar field distribution, defined in either spherical or axial symmetry. Under appropriate assumptions, this scalar field distribution admits a physical interpretation as a collapsing (and, in the axially-symmetric case, uniformly rotating) dust, and we are able to show, through a combination of rigorous mathematical analysis and explicit numerical simulation, that the resulting discrete spacetimes converge asymptotically to either non-rotating Schwarzschild black hole solutions or maximally-rotating (extremal) Kerr black hole solutions, respectively. Although the assumptions used in obtaining these preliminary results are very strong, they nevertheless offer hope that a more general, perhaps ultimately ``Penrose-like'', singularity theorem may be provable in the discrete spacetime case too.

Preprint ARTICLE | doi:10.20944/preprints202212.0045.v7

The Imaginary Universe

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: Planck units; the fine-structure constant; speed of light in vacuum; emergent dimensionality

Online: 13 March 2023 (09:45:17 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0476.v1

Analytic Error Function and Numeric Inverse Obtained by Geometric Means

Dmitri Martila, Stefan Groote

Subject: Physical Sciences, Mathematical Physics Keywords: error function; analytic function; inverse error function; approximations

Online: 27 February 2023 (13:37:26 CET)

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Preprint ARTICLE | doi:10.20944/preprints202209.0331.v2

Dynamic Ramsey Theory of Mechanical Systems Forming a Complete Graph and Vibrations of Cyclic Compounds

Nir Shvalb, Mark Frenkel, Shraga Shoval, Edward Bormashenko

Subject: Physical Sciences, Mathematical Physics Keywords: Ramsey theory; complete graph; vibrational spectrum; eigenfrequency; selection rule; cyclic molecule; viscoelasticity; entropic elasticity

Online: 16 February 2023 (09:55:15 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0144.v1

On Quantization, Contextuality & the Koopman-von Neumann Formulation

Fritiof Wallentin

Subject: Physical Sciences, Mathematical Physics Keywords: Quantization; Koopman-von Neumann formulation; contextuality; classical statistical mechanics; Reductionism; the Classical limit

Online: 8 February 2023 (10:30:36 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0125.v1

Wobbling Fractals for the Double–Sine–Gordon Equation

Attilio Maccari

Subject: Physical Sciences, Mathematical Physics Keywords: Double–sine–Gordon equation; perturbation theory; soliton

Online: 7 February 2023 (08:25:03 CET)

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Preprint ARTICLE | doi:10.20944/preprints202301.0342.v2

Biased Random Process of Randomly Moving Particles with Constant Average Velocitie

Tao Guo

Subject: Physical Sciences, Mathematical Physics Keywords: Biased Stochastic Process; Randomly Moving Particles; Special Relativity Effect; Lorentz-like factor

Online: 7 February 2023 (06:08:54 CET)

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Preprint ARTICLE | doi:10.20944/preprints202301.0545.v1

Quantum Mechanics Based on Energy Polynomials

Ibraheem F. Al-Yousef, Moayad Ekhwan, H. Bahlouli, A. D. Alhaidari

Subject: Physical Sciences, Mathematical Physics Keywords: Energy polynomials; Energy spectrum; harmonic oscillator; orthogonal polynomials; tridiagonal matrix; wavefunction

Online: 30 January 2023 (07:09:26 CET)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v6

Graphene Introduces the Second Negative Fine Structure Constant and the Imaginary Set of Base Planck Units

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: Planck units; the fine-structure constant; speed of light in vacuum; emergent dimensionality

Online: 23 January 2023 (09:31:48 CET)

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Preprint ARTICLE | doi:10.20944/preprints202301.0342.v1

Biased Stochastic Process of Randomly Moving Particles with Constant Average Velocities

Tao Guo

Subject: Physical Sciences, Mathematical Physics Keywords: Biased Stochastic Process; Randomly Moving Particles; Special Relativity Effect; Lorentz-like factor

Online: 19 January 2023 (02:08:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints202211.0254.v2

Mathematical Singularities in the Farthest Confines of the Universe — And a Brief Report on Its Evolutionary History

Emilio Elizalde

Subject: Physical Sciences, Mathematical Physics Keywords: singularity; infinite; Big Bang; universe evolution; scientific theory.

Online: 30 December 2022 (09:54:37 CET)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v5

Graphene Introduces the Second Negative Fine Structure Constant and the Imaginary Set of Base Planck Units

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: Planck units; the fine-structure constant; speed of light in vacuum; emergent dimensionality

Online: 26 December 2022 (11:07:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v4

Graphene Introduces the Second Negative Fine Structure Constant and the Imaginary Set of Base Planck Units

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: Planck units; the fine-structure constant; speed of light in vacuum; emergent dimensionality

Online: 19 December 2022 (10:52:31 CET)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v3

Graphene Introduces the Second Negative Fine Structure Constant, Negative Speed of Light, and the Imaginary Set of Base Planck Units

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: Planck units; the fine-structure constant; speed of light in vacuum

Online: 12 December 2022 (03:39:27 CET)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v2

Graphene Introduces the Second Negative Fine Structure Constant, Negative Speed of Light, and the Imaginary Set of Base Planck Units

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: Planck units; the fine-structure constant; speed of light in vacuum

Online: 8 December 2022 (07:43:33 CET)

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Preprint ARTICLE | doi:10.20944/preprints202212.0045.v1

Graphene Introduces the Second Negative Fine Structure Constant, Negative Speed of Light, and the Imaginary Set of Base Planck Units

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: Planck units; the fine-structure constant; speed of light in vacuum

Online: 2 December 2022 (09:58:36 CET)

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Preprint ARTICLE | doi:10.20944/preprints202212.0012.v1

Voronoi Tessellations and the Shannon Entropy of the Pentagonal Tilings

Edward Bormashenko, Irina Legchenkova, Mark Frenkel, Nir Shvalb, Shraga Shoval

Subject: Physical Sciences, Mathematical Physics Keywords: Shannon entropy; pentagonal tiling; Marjorie Rice tiling; Voronoi tessellation; iso-symmetrical transitions

Online: 1 December 2022 (06:42:44 CET)

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Preprint ARTICLE | doi:10.20944/preprints202211.0501.v1

Completeness of Bethe Ansatz for Gaudin Models with gl(1|1) Symmetry and Diagonal Twists

Kang Lu

Subject: Physical Sciences, Mathematical Physics Keywords: Gaudin models; Lie superalgebras; Bethe ansatz; Pseudo-differential operators; Berezinian

Online: 28 November 2022 (08:01:42 CET)

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Preprint ARTICLE | doi:10.20944/preprints202211.0254.v1

Mathematical Singularities in the Farthest Confines of the Universe —And a Brief Report on Its Evolutionary History

Emilio Elizalde

Subject: Physical Sciences, Mathematical Physics Keywords: singularity; infinite; Big Bang; universe evolution; scientific theory.

Online: 14 November 2022 (11:02:53 CET)

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Preprint HYPOTHESIS | doi:10.20944/preprints202201.0297.v3

The Theory of Quantum Uncertainties and Quantum Measurements

Harsh Anand

Subject: Physical Sciences, Mathematical Physics Keywords: Quantum speed limits; quantum information; Quantum computing

Online: 31 October 2022 (04:32:16 CET)

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Preprint ARTICLE | doi:10.20944/preprints202208.0056.v2

On Virtual Scalar Fields in a Conformally Flat FLRW Spacetime

Adrian Casado Eide

Subject: Physical Sciences, Mathematical Physics Keywords: QFT in conformally flat spacetimes; zeta regularization; holography; FLRW

Online: 12 October 2022 (10:13:17 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202209.0348.v1

A Power Sequence Model as a Bridge between Fundamental Natural Constants and Macroscopic Liquid Systems

Otto G. Piringer

Subject: Physical Sciences, Mathematical Physics Keywords: coupling constants; natural constants; neutrino mass; Higgs mass; Z boson mass; proton mass; nuclear binding; interaction function

Online: 23 September 2022 (02:04:12 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202207.0213.v1

A Tentative Correction to the Inappropriate Application of Mathematical Theory to Physics — and A Correction to the Assumptions underlying Probability Theory

Sheng Qin

Subject: Physical Sciences, Mathematical Physics Keywords: infinity; infinitesimal; continuity; finiteness; discreteness; Banach-Tarski paradox; Bertrand paradox

Online: 14 July 2022 (11:29:39 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202207.0161.v1

A Solvable Algebra for Massless Fermions

Stefan Groote, Rein Saar

Subject: Physical Sciences, Mathematical Physics Keywords: Solvable Lie group; Borel subgroup; massless particle states; chirality states

Online: 11 July 2022 (12:15:43 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0077.v1

The Origin of the Fundamental Constants

José Garrigues-Baixauli

Subject: Physical Sciences, Mathematical Physics Keywords: Fundamental Constants; Planck length; Discrete Space-Time

Online: 6 June 2022 (09:36:40 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0065.v1

Transport and Nonequilibrium Phase Transitions in Polygonal Urn Models

Emilio N. M. Cirillo, Matteo Colangeli, Antonio Di Francesco, Martin Kröger, Lamberto Rondoni

Subject: Physical Sciences, Mathematical Physics Keywords: statistical physics; phase transitions; feedback-control; stability; deterministic dynamics

Online: 6 June 2022 (06:24:53 CEST)

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Preprint HYPOTHESIS | doi:10.20944/preprints202201.0297.v2

A Way to Construct Quantum Speed Limits between Arbitrary Fixed States

Harsh Anand

Subject: Physical Sciences, Mathematical Physics Keywords: Quantum speed limits; quantum information; Quantum computing

Online: 7 March 2022 (13:42:08 CET)

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Preprint ARTICLE | doi:10.20944/preprints202202.0352.v1

SIR-Solution for Slowly Time-Dependent Ratio between Recovery and Infection Rates

Martin Kröger, Reinhard Schlickeiser

Subject: Physical Sciences, Mathematical Physics Keywords: epidemiology; statistical analysis; time-scale separation; differential equations; adiabatic approximation

Online: 28 February 2022 (09:12:54 CET)

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Preprint ARTICLE | doi:10.20944/preprints202202.0277.v2

Research on Mechanical Braking Model of Cows Knee Joint

Meng Liu, Kexin Meng, Shuli Mei, Ruyi Xing

Subject: Physical Sciences, Mathematical Physics Keywords: Dairy cow; Lyapunov exponent; bio-mechanical model; Nonlinear dynamics; gait; Weight scale; Three-link model; Fractals

Online: 24 February 2022 (09:57:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints202202.0277.v1

A Chaotic Bio-Mechanics Model for the Optimization of Dairy Industry

Meng Liu, Kexin Meng, Shuli Mei, Ruyi Xing

Subject: Physical Sciences, Mathematical Physics Keywords: Dairy cow; Lyapunov exponent; bio-mechanical model; Nonlinear dynamics; gait; Weight scale; Three-link model; Fractals

Online: 22 February 2022 (11:42:50 CET)

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Preprint ARTICLE | doi:10.20944/preprints202201.0438.v1

The Singularity of Legendre Functions of the First Kind as a Consequence of the Symmetry of Legendre’s Equation

Ramses van der Toorn

Subject: Physical Sciences, Mathematical Physics Keywords: Legendre’s Equation; Legendre Functions; Legendre Polynomials; Singularities; Symmetry

Online: 28 January 2022 (13:23:54 CET)

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Preprint HYPOTHESIS | doi:10.20944/preprints202201.0297.v1

Improvements on the known quantum speed limits

Harsh Anand

Subject: Physical Sciences, Mathematical Physics Keywords: Quantum speed limits; quantum information; Quantum computing

Online: 20 January 2022 (10:30:56 CET)

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Preprint ARTICLE | doi:10.20944/preprints202201.0089.v1

Synchronized Attractors and Phase Entrained with Cavity Loss of the Coupled Laser’s Map

Abdul Abdul, Altaf Ur Rahman, Chen Minjing, Jehan Akbar, Farhan Saif, Zhiyou Zhang

Subject: Physical Sciences, Mathematical Physics Keywords: Fractals; Strange attractors; Crisis; Bifurcation

Online: 6 January 2022 (12:49:24 CET)

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Preprint ARTICLE | doi:10.20944/preprints202112.0508.v1

Generalized Householder Transformations

Karl Svozil

Subject: Physical Sciences, Mathematical Physics Keywords: Householder transformations

Online: 31 December 2021 (11:11:50 CET)

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Preprint ARTICLE | doi:10.20944/preprints202112.0142.v1

On the Quantification of Relativistic Trajectories

Jean-Pascal Laedermann

Subject: Physical Sciences, Mathematical Physics Keywords: General relativity; geodesics; digitization; quantization; Schwarzschild; Kruskal-Szekeres; singularity; Lambert; tachyon; arbitrary precision calculation; complex time; Lorentz boost

Online: 8 December 2021 (14:49:36 CET)

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Preprint ARTICLE | doi:10.20944/preprints202112.0067.v1

The Presheaf of Conditional Expectations, a Bridge Between Probability and Intuitionistic Truth Value

Jean-Pascal Laedermann

Subject: Physical Sciences, Mathematical Physics Keywords: category; topos; presheaf; probability; validity; truth; conditional expectation; measurement; quantum mechanics; information; entropy; reduction; collapse; projection; logic; algebra; Wiener; Bayes; Boole; Heyting; Brownian motion; filter; crible; capacity; reservation; context

Online: 6 December 2021 (12:13:38 CET)

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Preprint ARTICLE | doi:10.20944/preprints202109.0368.v2

Black Holes as Markers of Dimensionality

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: quantum black holes; entropic gravity; the black hole information paradox; Shannon entropy; Delaunay triangulation; black hole quantum statistics; logistic function/map; exotic ℝ4

Online: 25 November 2021 (11:12:36 CET)

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Preprint ARTICLE | doi:10.20944/preprints202009.0307.v3

Study on the Kinetics of a Special Particle Swarm

Tao Guo

Subject: Physical Sciences, Mathematical Physics Keywords: Randomly Moving Particles; Effects of Location Aggregation; Non-diffusion Particle Swarm; Generalized Diffusion Equation

Online: 15 November 2021 (11:10:16 CET)

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Preprint ARTICLE | doi:10.20944/preprints202111.0172.v1

Rearrangement of Energy Levels Between Energy Super-Bands Characterized by Second Chern Class

Dmitrii Sadovskii, Boris Zhilinskii

Subject: Physical Sciences, Mathematical Physics Keywords: energy bands; Chern number; Kramers degeneracy; semi-quantum approach

Online: 9 November 2021 (13:36:52 CET)

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Preprint ARTICLE | doi:10.20944/preprints202111.0042.v1

Modulation Instability of Hydro-Elastic Waves Blown by a Wind with a Uniform Vertical Profile

S. Boral, T. Sahoo, Y. Stepanyants

Subject: Physical Sciences, Mathematical Physics Keywords: Wind wave; Ice cover; Vortex sheet; Negative energy wave; Modulation instability

Online: 2 November 2021 (10:53:15 CET)

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Preprint ARTICLE | doi:10.20944/preprints202109.0368.v1

Black Holes as Markers of Dimensionality

Szymon Łukaszyk

Subject: Physical Sciences, Mathematical Physics Keywords: quantum black holes; entropic gravity; the black hole information paradox; Shannon entropy; Delaunay triangulation; black hole quantum statistics; logistic function/map; exotic ℝ4

Online: 21 September 2021 (14:51:37 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202109.0118.v1

A New Method for Calculating Energy of Matter

Qing Li

Subject: Physical Sciences, Mathematical Physics Keywords: mass energy formula; space/time; the camparable finity

Online: 7 September 2021 (10:35:38 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202108.0519.v1

Simulations of Nearest Teammate-Based Soccer Match-Plays with Different Formations

Francesco Scotognella

Subject: Physical Sciences, Mathematical Physics Keywords: Network; Graph theory; Soccer; Performance analysis

Online: 27 August 2021 (11:30:10 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202108.0129.v1

A Phase-Field Perspective on Mereotopology

Georg J. Schmitz

Subject: Physical Sciences, Mathematical Physics Keywords: Region based theory of space; RBTS; Contact algebra; Dyadic and Triadic relations; sequent algebra; boundaries; triple junctions; mereotopology; 4D mereotopology; mereophysics; Region Connect Calculus RCC; invariant spacetime interval; Falaco solitons; phase-field method; intuitionistic logic

Online: 5 August 2021 (08:39:00 CEST)

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Preprint SHORT NOTE | doi:10.20944/preprints202106.0649.v1

Power law behavior of Elementary Cellular Automata

Jorge Laval

Subject: Physical Sciences, Mathematical Physics Keywords: Elementary Cellular automata, Power laws, fractals, criticality

Online: 28 June 2021 (13:01:49 CEST)

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Preprint COMMUNICATION | doi:10.20944/preprints202009.0371.v2

Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology

Boris Aliyev

Subject: Physical Sciences, Mathematical Physics Keywords: monad and dyad methods; effective rest mass concept; scalar gravitational field; 5D geodetic equation; cylindrical symmetry condition; 5D Ricci identities; Maxwell equations; magnetic monopole; topological second-order transition in cosmology

Online: 25 June 2021 (11:03:01 CEST)

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Working Paper ARTICLE

Dirac Oscillator in Dynamical Noncommutative Space

Ilyas Haouam

Subject: Physical Sciences, Mathematical Physics Keywords: Dynamical noncommutative space; τ -space; position-dependent noncommutativity; noncommutative space; Dirac oscillator

Online: 23 June 2021 (13:22:27 CEST)

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In this paper, we address the energy eigenvalues of two-dimensional Dirac oscillator perturbed by dynamical noncommutative space. We derived the relativistic Hamiltonian of Dirac oscillator in dynamical noncommutative space (

τ

-space), in which the space-space Heisenberg–like commutation relations and noncommutative parameter are position-dependent. Then used this Hamiltonian to calculate the first-order correction to the eigenvalues and eigenvectors, based on the second quantization and using the perturbation theory. It is shown that the energy shift depends on the dynamical noncommutative parameter

τ

. Knowing that with a set of two-dimensional Bopp-shift transformation, we mapped the noncommutative problem to the standard commutative one.

Preprint ARTICLE | doi:10.20944/preprints202106.0358.v1

Non-Gaussianity of Four-Photon Superpositions of Fock States

Viktor V. Dodonov, Miguel de Freitas Citeli

Subject: Physical Sciences, Mathematical Physics Keywords: four-photon superpositions; even vacuum squeezed states; orthogonal-even coherent states; kurtosis; Wigner function

Online: 14 June 2021 (11:57:23 CEST)

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Working Paper ARTICLE

Geometry and Control of Thermodynamic Systems Described by Generalized Exponential Families

Marco Favretti

Subject: Physical Sciences, Mathematical Physics Keywords: statistical models; Fisher metric; Ehresmann connection, exponential families

Online: 9 June 2021 (10:37:33 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202106.0068.v1

Linear Conﬁnement of a Scalar Particle Under Linear Central Potential Induced by the Eﬀects of Violation of Lorentz Symmetry framework

Faizuddin Ahmed

Subject: Physical Sciences, Mathematical Physics Keywords: Lorentz symmetry violation; Relativistic wave-equations; linear confining potential; electric & magnetic ﬁeld; biconﬂuent Heun’s equation

Online: 2 June 2021 (10:18:18 CEST)

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Working Paper ARTICLE

Type II Vacuum Spacetime Admitting Closed Timelike Curves

Faizuddin Ahmed

Subject: Physical Sciences, Mathematical Physics Keywords: closed timelike curves; Misner space; vacuum spacetime

Online: 1 June 2021 (09:44:25 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202106.0003.v1

Linear Central Potential Eﬀects Induced by Lorentz Symmetry Violation on Spin-0 Particle Under Coulomb-type scalar Potential

Faizuddin Ahmed

Subject: Physical Sciences, Mathematical Physics Keywords: Lorentz symmetry violation; Relativistic wave equations; non-electromagnetic potential; electric & magnetic ﬁeld; biconﬂuent Heun’s function

Online: 1 June 2021 (08:36:26 CEST)

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Preprint SHORT NOTE | doi:10.20944/preprints202105.0689.v1

Short Note on Comparing Stacking Modelling Versus Cannistraci-Hebb Adaptive Network Automata for Link Prediction in Complex Networks

Alessandro Muscoloni, Carlo Vittorio Cannistraci

Subject: Physical Sciences, Mathematical Physics Keywords: complex networks; network models; link prediction; automata theory; network automata; Cannistraci-Hebb; stacking modelling

Online: 28 May 2021 (10:13:43 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202105.0406.v1

Type II Vacuum Spacetime Admitting Closed Timelike Curves

Faizuddin Ahmed

Subject: Physical Sciences, Mathematical Physics Keywords: closed timelike curves; Misner space; vacuum spacetime

Online: 18 May 2021 (10:04:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202104.0632.v1

Distance Between Two Circles In Any Number Of Dimensions Is A Vector Ellipse

Asli Pinar Tan

Subject: Physical Sciences, Mathematical Physics Keywords: Conic Sections, Topology, Circle, Ellipse, Hyperbola, Parabola, Orbit, Trajectory, Orbital Mechanics, Solar System, Planetary System, Planet, Satellite, Comet, Sun, Earth, Moon

Online: 23 April 2021 (11:36:05 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202104.0254.v1

Extensive Entropy from Unitary Evolution

Yichen Huang

Subject: Physical Sciences, Mathematical Physics Keywords: entanglement entropy; local Hamiltonian; many-body localization; quantum dynamics; volume law

Online: 9 April 2021 (10:16:52 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202103.0608.v1

A Novel Hybrid Monte Carlo Algorithm for Sampling Path Space

Francis J. Pinski

Subject: Physical Sciences, Mathematical Physics Keywords: Brownian Dynamics; Stochastic Processes; Sampling path space, transition paths

Online: 24 March 2021 (17:17:30 CET)

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To sample from complex, high-dimensional distributions, one may choose algorithms based on the Hybrid Monte Carlo (HMC) method. HMC-based algorithms generate nonlocal moves alleviating diffusive behavior. Here, I build on an already defined HMC framework, Hybrid Monte Carlo on Hilbert spaces [A. Beskos, F.J. Pinski, J.-M. Sanz-Serna and A.M. Stuart, Stoch. Proc. Applic. 121, 2201 - 2230 (2011); doi:10.1016/j.spa.2011.06.003] that provides finite-dimensional approximations of measures π which have density with respect to a Gaussian measure on an infinite-dimensional Hilbert (path) space. In all HMC algorithms, one has some freedom to choose the mass operator. The novel feature of the algorithm described in this article lies in the choice of this operator. This new choice defines a Markov Chain Monte Carlo (MCMC) method which is well defined on the Hilbert space itself. As before, the algorithm described herein uses an enlarged phase space Π having the target π as a marginal, together with a Hamiltonian flow that preserves Π. In the previous method, the phase space π was augmented with Brownian bridges. With the new choice for the mass operator, π is augmented with Ornstein-Uhlenbeck (OU) bridges. The covariance of Brownian bridges grows with its length, which has negative effects on the Metropolis-Hasting acceptance rate. This contrasts with the covariance of OU bridges which is independent of the path length. The ingredients of the new algorithm include the definition of the mass operator, the equations for the Hamiltonian flow, the (approximate) numerical integration of the evolution equations, and finally the Metropolis-Hastings acceptance rule. Taken together, these constitute a robust method for sampling the target distribution in an almost dimension-free manner. The behavior of this novel algorithm is demonstrated by computer experiments for a particle moving in two dimensions, between two free-energy basins separated by an entropic barrier.

Preprint ARTICLE | doi:10.20944/preprints202102.0224.v1

Dressed Photon Constant as a Key Parameter for the Conformal Cyclic Cosmology of Twin Universes

Hirofumi Sakuma, Izumi Ojima

Subject: Physical Sciences, Mathematical Physics Keywords: dressed photon; dressed photon constant; natural units; Heisenberg cut; de Sitter space; dark energy; dark matter; cosmological constant; twin universes; conformal cyclic cosmology

Online: 8 February 2021 (22:23:29 CET)

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Preprint ARTICLE | doi:10.20944/preprints202102.0162.v1

Discreteness of Space from Anisotropic Spin-Orbit Interaction

Barun Majumder, Ahmed Farag Ali

Subject: Physical Sciences, Mathematical Physics Keywords: space quantization; Planck length; discreteness of space

Online: 5 February 2021 (13:52:16 CET)

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Preprint ARTICLE | doi:10.20944/preprints202101.0544.v2

Gravitation with Cosmological Term, Expansion of the Universe as Uniform Acceleration in Clifford Coordinates

Alexander Kritov

Subject: Physical Sciences, Mathematical Physics Keywords: Clifford algebras Cl(3,0) and Cl(0,3); center of Cl(3); two dimensional spacetime of time-volume; constant uniform acceleration; Rindler coordinates; FLRW metric; scale factor; AdS and de Sitter models

Online: 5 February 2021 (10:13:00 CET)

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Preprint ARTICLE | doi:10.20944/preprints202101.0544.v1

Gravitation with Cosmological Term, Expansion of the Universe as Uniform Acceleration in Clifford Coordinates

Alexander Kritov

Subject: Physical Sciences, Mathematical Physics Keywords: Clifford algebras Cl(3,0) and Cl(0,3); center of Cl(3); two dimensional spacetime of time-volume; constant uniform acceleration; Rindler coordinates; FLRW metric; scale factor; AdS and de Sitter models

Online: 26 January 2021 (15:55:06 CET)

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Working Paper ARTICLE

Power Law Duality in Classical and Quantum Mechanics

Akira Inomata, Georg Junker

Subject: Physical Sciences, Mathematical Physics Keywords: Power-law duality; Classical and quantum mechanics; Semiclassical quantization; Supersymmetric quantum mechanics; Quark confinement

Online: 25 January 2021 (16:42:35 CET)

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Preprint ARTICLE | doi:10.20944/preprints202101.0143.v1

Relativistic Ermakov-Milne-Pinney Systems and First Integrals

Fernando Haas

Subject: Physical Sciences, Mathematical Physics Keywords: Ermakov system; Ermakov-Milne-Pinney equation; relativistic Ermakov-Lewis invariant; relativistic Ray-Reid system; nonlinear superposition law.

Online: 8 January 2021 (11:13:35 CET)

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Preprint ARTICLE | doi:10.20944/preprints202009.0307.v2

Statistical Principles of Natural Philosophy

Tao Guo

Subject: Physical Sciences, Mathematical Physics Keywords: Randomly Moving Particles; Statistical Effect; Generalized Diffusion Equation

Online: 5 January 2021 (11:14:18 CET)

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Preprint BRIEF REPORT | doi:10.20944/preprints202012.0741.v1

On a variant of Newton-Coulomb's law

Alain Haraux

Subject: Physical Sciences, Mathematical Physics Keywords: attracting field; logarithmic perturbation; reversal of force; dissipative ODE

Online: 30 December 2020 (07:40:53 CET)

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Preprint BRIEF REPORT | doi:10.20944/preprints202012.0309.v2

On a Linearly Damped 2 Body Problem

Alain Haraux

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; singular potential; global solutions; spiraling orbit

Online: 16 December 2020 (10:09:41 CET)

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Preprint BRIEF REPORT | doi:10.20944/preprints202012.0309.v1

On a Linearly Damped 2 Body Problem

Alain Haraux

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; singular potential; global solutions; spiraling orbit

Online: 14 December 2020 (09:11:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints201912.0326.v2

Advances of Relativity Theory

Amrit Srecko, Štefan Čelan

Subject: Physical Sciences, Mathematical Physics Keywords: bijective research methodology; Lorentz factor; planet's precession; Sagnac effect; GPS; space dragging effect

Online: 20 November 2020 (11:31:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints202011.0459.v1

Emergence of Planck’s Constant from Iterated Maps

Ervin Goldfain

Subject: Physical Sciences, Mathematical Physics Keywords: Action quantization; Planck’s constant; iterated maps; circle maps; winding numbers

Online: 17 November 2020 (15:50:50 CET)

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Preprint ARTICLE | doi:10.20944/preprints202011.0021.v1

Cosmic Evolution Physics (I) for Supergravity and Dark-Energy with Super-Inflation

Zongcheng Li

Subject: Physical Sciences, Mathematical Physics Keywords: cosmic singularity; super repulsion; arche-conjugation; holographic unification; arche-pulse dynamics

Online: 2 November 2020 (10:53:29 CET)

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To solve a series of major problems, such as the singularity before the Big Bang, the inflation of the early universe and the accelerating expansion of the present universe, this series of studies start with super gravity, dark energy and dark matter, go beyond the surface of a lot of observation data, and systematically reveal the arche-internal mechanism of all things, to establish the arche-unity of physics, and give a natural and reasonable explanation. At present, there are at least three basic pathways that are leading our research field to repulsion against gravitation, quantum repulsion against quantum gravitation and high-dimensional superrepulsion against high-dimensional supergravity, that is, the research on the accelerating expansion mechanism of the current universe, the research on the dynamic mechanism of the early cosmic inflation, and the research on the rebound mechanism near the singularity before the Big Bang. In this series of studies, the arche problem of everything is always placed under the extreme environmental conditions of the initial universe, the starting point of scientific logic is closely combined with the starting point of the universe history, the pseudo vacuum energy considered by the inflationary universe model, the Higgs field predicted by the standard physical model and the dark energy speculated by the observational cosmology are reduced to the positive energy system with strong negative pressure, and they are reduced to the repulsion (all the resistance to gravity) that forms a conjugate relation with gravity. In our opinion, dark energy and dark matter are essentially at the level of quantum gravity and quantum repulsion. Therefore, we not only consider the conventional quantum effect and non commutative quantum effect, but also further consider the arche-conjugate effect and the cluster resonance-at-cofrenquence effect. For noncommutative space-time, we put forth the ultimate supersymmetry, the arche-conjugation and the cluster resonance-at-cofrenquence. A relatively complete natural mechanism forms such an important inference: the closer they get to Planck scale, the stronger the conventional quantum effect, non commutative quantum effect, arche-conjugate effect and co-frequency resonance effect are. In the high-dimensional space-time (the 11 dimensional hyperspace compactly reduced to M 4 × N r ), corresponding to the introduction of supergravity with the supersymmetry between the graviton and the gravitino, we put forth the superrepulsion with the supersymmetry between the repulsion and the repulsitino, and establish the arche-conjugate relationship between the high-dimensional supergravity and the high-dimensional superrepulsion. Therefrom, we propose a basic inference that can be promoted to the principle of hyperholography of high-dimensional universe (or multiuniverse): in a parallel universe formed by mutual coupling and holographic correspondence between the P universe dominated by negative pressure (high-dimensional superrepulsion and quantum repulsion of accumulating positive energy, mainly composed of dark energy) and the N universe dominated by positive pressure (high-dimensional supergravity and quantum gravity of accumulating negative energy, mainly composed of dark matter), there is a correspondence between the small-scale physics (ultraviolet cutoff) of the P universe and the large-scale physics (infrared cutoff) of the N universe, while there is a correspondence between the large-scale physics (ultraviolet cutoff) of the P universe and the small-scale physics (infrared cutoff) of the N universe. In the new research paradigms set in this series, the arche-conjugation between the high-dimensional supergravity and the high-dimensional super repulsion, as well as between the quantum gravity and the quantum repulsion, is higher than the supersymmetry, so it becomes the core concept of the new theory. The arhce-unity of physics is a super unity that transcends the grand unification of four basic interaction, which is formed between high-dimensional supergravity (related to dark matter) and high-dimensional superrepulsion (related to dark energy), between quantum gravity (related to dark matter) and quantum repulsion (related to dark energy). From the basic component point of view, before or after the big bang, the gravitons and repulsons are coupled together, the negative energy contraction dominated by the positive pressure and the positive energy expansion dominated by the negative pressure work alternately, forming the arche-conjugate pulsaton of neither the point particle nor the linear superstring. Under the big unified framework of quantum gravitational field and quantum repulsive field, this series of work comprehensively expands the general relativity and loop quantum ring gravitation theory, sets up the quantum repulsive field equation corresponding to the quantum gravitational field equation, and then establishes the quantum hedge-unified field equation describing the interaction of quantum gravitational field and quantum repulsive field; On this basis, the quantum repulsive universe equation corresponding to the quantum gravitational universe equation is established, thus a set of new equations describing the expansive universe with quantum hedge-unified field are established. On the one hand, scalar disturbance is considered as the exhibition of repulsive effect, on the other hand, tensor disturbance is considered as the exhibition of gravitational effect. In the initial stage of the big ripping, due to the mutual restraint of quantum repulsion and quantum gravity, the scalar and tensor perturbations are not obvious. However, at the end of the big ripping, the scalar and tensor perturbations are very significant, and there is a large power spectral exponential run. Between particle physics and cosmology, we improve and expand the path integral of quantum gravity, create the path integral of quantum hedge-unified field, and set up the basic equation of quantum cosmic-synergetic dynamics, and then establish the basic equation of quantum-cosmic paradigm dynamics. Thus we put up the operator distribution function and its dynamic equation of the quantum arche- pulsaton, and finally use the Wigner-Ville distribution as a non-linear time-frequency distribution to establish the Wigner joint-distribution of quantum-conjuagted pulsation function, so as to analyze the arche of all things with three evolutionary forms: quantum chaotic-pulsaton, quantum quasi-spherical pulsaton and quantum spherical-pulsaton. In this series of work, the mechanism to avoid the singularity of the universe is put forward fundamentally, and the dark energy and dark matter are explained through new mechanisms and effects at the level of quantum gravity. Between particle physics and cosmology, we improve and expand the path integral of quantum gravity, establish the path integral of quantum hedge-unified field, thus establish the basic equation of quantum cosmic-synergy dynamics, and then establish the basic equation of quantum cosmic-paradigm dynamics. Thus the covariant gravitational mass and the covariant inertial mass formed by the ultra-synergy between particles and the universe are presented, and the equivalence hypothesis on the covariant non-inertial system which can be elevated to the basic principle, is presented. Based on this hypothesis, a systematic calculation and analysis of binary stars composed of neutron stars and black holes are made. The master equation, variance and Fokker-Planck equation for the birth-death and migration of a large number of particles are established between binary stars composed of neutron stars and black holes.

Preprint ARTICLE | doi:10.20944/preprints202010.0337.v1

Warping Effects in Strongly Perturbed Metrics

Marco Frasca, Riccardo Maria Liberati, Massimiliano Rossi

Subject: Physical Sciences, Mathematical Physics Keywords: General relativity; Schwarzschild solution; Warp factor

Online: 16 October 2020 (07:49:03 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202008.0334.v3

General variational principle, general Noether theorem, their classical and quantum new physics and solution to crisis deducing all physics laws

C. Huang, Yong-Chang Huang

Subject: Physical Sciences, Mathematical Physics Keywords: variational principle, Noether theorem, mathematical physics, fundamental interaction, physics law, unification theory, classical and quantum new physics

Online: 15 October 2020 (16:50:48 CEST)

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Working Paper ARTICLE

Padé and Post-Padé Approximations for Critical Phenomena

Simon Gluzman

Subject: Physical Sciences, Mathematical Physics Keywords: asymptotic methods; approximants; critical pounts; critical index; interpolation

Online: 21 September 2020 (04:09:16 CEST)

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Preprint COMMUNICATION | doi:10.20944/preprints202009.0371.v1

New Results in 5D Theory and Some Problems of Astrophysics and Cosmology

Boris Aliyev

Subject: Physical Sciences, Mathematical Physics Keywords: monad and dyad methods; effective rest mass concept; scalar gravitational field; 5D geodetic equation; cylindrical symmetry condition; 5D Ricci identities; Maxwell equations; magnetic monopole; topological second-order transition in cosmology

Online: 17 September 2020 (04:18:09 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202009.0363.v1

Quadratic Gravity, Double Layers and Non-Conservative Energy-Momentum Tensor

Victor Berezin, Vyacheslav Dokuchaev, Yury Eroshenko, Alexey Smirnov

Subject: Physical Sciences, Mathematical Physics Keywords: gravitation; General Relativity; quadratic gravity; black holes; cosmology

Online: 16 September 2020 (12:02:23 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202009.0141.v2

Nonlinear Approximations to Critical and Relaxation Processes

Simon Gluzman

Subject: Physical Sciences, Mathematical Physics Keywords: nonlinearity; approximants; critical phenomena; permeability; relaxation phenomena; time series; crashes

Online: 11 September 2020 (08:44:02 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202009.0208.v1

Inflation Model and Riemann Tensor on Non-Associative Algebra

Vjacheslav Dorofeev

Subject: Physical Sciences, Mathematical Physics Keywords: Inflation; gravity; compactification

Online: 9 September 2020 (11:05:46 CEST)

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Working Paper ARTICLE

Statistical Mechanics of Discrete Multicomponent Fragmentation

Themis Matsoukas

Subject: Physical Sciences, Mathematical Physics Keywords: discrete fragmentation; multicomponent; partition function; multiplicity of distribution

Online: 8 September 2020 (11:13:13 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202009.0141.v1

Nonlinear Approximations to Critical and Relaxation Processes

Simon Gluzman

Subject: Physical Sciences, Mathematical Physics Keywords: nonlinearity; approximants; critical phenomena; permeability; relaxation phenomena; time series; crashes

Online: 6 September 2020 (15:18:36 CEST)

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Preprint COMMUNICATION | doi:10.20944/preprints202009.0093.v1

Bridging Macro and Micro Cosmos by a New Sight on “Photon Aging” – A Simple Approach for Explaining Diracs Large Numbers

J. Michael Köhler

Subject: Physical Sciences, Mathematical Physics Keywords: Red shift; Photons; Quantum delocalization; Energy dissipation; Hubble constant; Large numbers

Online: 4 September 2020 (08:39:15 CEST)

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Working Paper ARTICLE

Supersymmetry of Relativistic Hamiltonians for Arbitray Spin

Georg Junker

Subject: Physical Sciences, Mathematical Physics Keywords: Relativistic Wave Equation; Klein-Gordan Equation; Dirac Equation; Proca Equation; Supersymmetry

Online: 19 August 2020 (10:47:38 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202008.0252.v1

Classical Mechanics as a Fundamental Law of Quantum Mechanics

Yehuda Roth

Subject: Physical Sciences, Mathematical Physics Keywords: post collapse entanglement; commutators pictures; force operator; labeling set

Online: 11 August 2020 (05:37:51 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202006.0298.v2

Time, Equilibrium, and General Relativity

Harmen Henricus Hollestelle

Subject: Physical Sciences, Mathematical Physics Keywords: time interval; equilibrium; graphs; derivative; metric; general relativity; starlight radiation; qm wave packet collapse; cosmology

Online: 10 August 2020 (15:15:45 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202007.0731.v1

Varying Newton Constant and Black Hole to White Hole Quantum Tunneling

Grigory Volovik

Subject: Physical Sciences, Mathematical Physics Keywords: black hole; white hole; quantum tunneling

Online: 31 July 2020 (05:12:48 CEST)

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