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Preprint ARTICLE | doi:10.20944/preprints201809.0396.v1

Finding the Planck Length Independent of Newton's Gravitational Constant and the Planck Constant: The Compton Clock Model of Matter

Espen Haug

Subject: Physical Sciences, Mathematical Physics Keywords: planck length; planck constant; newton's gravitational constant; compton frequency; schwarzschild radius

Online: 20 September 2018 (05:01:28 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201907.0314.v1

Quantitative Mereology: An Essay to Derive Physics Laws from a Philosophical Concept

Georg J. Schmitz

Subject: Physical Sciences, Mathematical Physics Keywords: entropy; Boltzmann statistics; Lorentz-factor; mereology; analytical philosophy; conservation laws; vacuum energy; cosmologic constant problem; invariance; hypercomplex numbers; Octonions; energy-mass equivalence; Ur-Alternatives; mereotopology; mereophysics

Online: 28 July 2019 (14:39:59 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201608.0078.v2

Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families

Frédéric Barbaresco

Subject: Physical Sciences, Mathematical Physics Keywords: Lie Group Thermodynamics; Moment map; Gibbs Density; Gibbs Equilibrium; Maximum Entropy; Information Geometry; Symplectic Geometry; Cartan-Poincaré Integral Invariant; Geometric Mechanics; Euler-Poincaré Equation; Fisher Metric; Gauge Theory; Affine Group

Online: 21 September 2016 (06:13:21 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201701.0067.v1

Modeling Sound Propagation Using the Corrective Smoothed Particle Method with an Acoustic Boundary Treatment Technique

YongOu Zhang, Xu Li, Tao Zhang

Subject: Physical Sciences, Mathematical Physics Keywords: computational acoustics; meshfree method; Lagrangian approach; smoothed particle hydrodynamics; corrective smoothed particle method; boundary conditions; numerical method

Online: 13 January 2017 (10:09:35 CET)

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Preprint ARTICLE | doi:10.20944/preprints201612.0004.v2

The Modified Kudryashov Method for the Conformable Time Fractional (3+1)-dimensional Kadomtsev-Petviashvili and the Modified Kawahara Equations

Alper Korkmaz

Subject: Physical Sciences, Mathematical Physics Keywords: conformable time fractional (3+1)-dimensional Kadomtsev-Petviashvili equation; conformable time fractional modified Kawahara equation; modified Kudryashov method; wave solution

Online: 5 December 2016 (10:31:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints201612.0034.v1

Exact Solutions to (3+1) Conformable Time Fractional Jimbo-Miwa, Zakharov-Kuznetsov and Modified Zakharov-Kuznetsov Equations

Alper Korkmaz

Subject: Physical Sciences, Mathematical Physics Keywords: Fractional (3+1)- dimensional Jimbo-Miwa equation; Fractional modified Zakharov-Kuznetsov equation; Modified Kudryashov method; Fractional Zakharov-Kuznetsov equation; Exact solutions

Online: 7 December 2016 (10:21:32 CET)

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Preprint ARTICLE | doi:10.20944/preprints201608.0078.v1

Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families

Frédéric Barbaresco

Subject: Physical Sciences, Mathematical Physics Keywords: Lie Group Thermodynamics; Moment map; Gibbs Density; Gibbs Equilibrium; Maximum Entropy; Information Geometry; Symplectic Geometry; Cartan-Poincaré Integral Invariant; Geometric Mechanics; Euler-Poincaré Equation; Fisher Metric; Gauge Theory; Affine Grou

Online: 8 August 2016 (12:14:45 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/preprints202007.0416.v1

Analytical Solution of the SIR-Model for the Temporal Evolution of Epidemics. Part A: Time-Independent Reproduction Factor

Martin Kröger, Reinhard Schlickeiser

Subject: Physical Sciences, Mathematical Physics Keywords: coronavirus; statistical analysis; extrapolation; parameter estimation; epidemic spreading

Online: 19 July 2020 (15:35:44 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201708.0014.v1

Co-simulation Framework for on-Chip LIDAR Sensors in a Cyber-physical System

Fernando Castaño, Gerardo Beruvides, Rodolfo E. Haber, Antonio Artuñedo

Subject: Physical Sciences, Mathematical Physics Keywords: sensor-in-the-loop; co-simulation framework; virtual CPS; on-chip LiDAR; obstacle recognition library

Online: 4 August 2017 (14:13:13 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201810.0413.v1

Black Hole as Gravitational Hydrogen Atom by Rosen’s Quantization Approach

Christian Corda, Fabiano Feleppa

Subject: Physical Sciences, Mathematical Physics Keywords: Gravitational atom; quantum black hole; quantum levels; Schrodinger equation; mass spectrum.

Online: 18 October 2018 (10:39:33 CEST)

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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/preprints201809.0417.v2

I: 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: 23 January 2019 (10:20:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints201706.0020.v1

Information Geometry of Non-Equilibrium Processes in a Bistable System with a Cubic Damping

Rainer Hollerbach, Eun-jin Kim

Subject: Physical Sciences, Mathematical Physics Keywords: order-disorder transitions; fokker-planck equation; fisher information

Online: 5 June 2017 (04:56:27 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201809.0417.v1

I: 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 September 2018 (15:21:21 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201810.0413.v3

The Quantum Black Hole as a Gravitational Hydrogen Atom

Christian Corda, Fabiano Feleppa

Subject: Physical Sciences, Mathematical Physics Keywords: gravitational atom; quantum black hole; quantum levels; Schrodinger equation; mass spectrum

Online: 6 December 2019 (04:14:35 CET)

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Preprint ARTICLE | doi:10.20944/preprints201708.0095.v1

Relative Lagrangian Formulation of Finite Thermoelasticity

I-Shih Liu, Marcello G. Teixeira

Subject: Physical Sciences, Mathematical Physics Keywords: relative Lagrangian formulation; thermoelastic solid; small on large; successive linear approximation; boundary value problem

Online: 27 August 2017 (11:36:35 CEST)

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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/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 ARTICLE | doi:10.20944/preprints201809.0417.v3

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: 5 September 2019 (11:19:21 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201907.0095.v1

Computational Algebraic Geometry and Quantum Mechanics: An Initiative toward Post-Contemporary Quantum Chemistry

Ichio Kikuchi, Akihito Kikuchi

Subject: Physical Sciences, Mathematical Physics Keywords: quantum mechanics; algebraic geometry; commutative algebra; Gr\"onber basis; primary ideal decomposition, eigenvalue problem in quantum mechanics; molecular orbital theory; quantum chemistry; first principles electronic structure calculation; symbolic computation; symbolic-numeric solving; Hartree-Fock theory; molecular integral; Taylor series; polynomial approximation; algebraic molecular orbital equation

Online: 8 July 2019 (03:29:04 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201910.0102.v1

Reduction Energy in Warped Region in Alcubierre Warp Drive

Gianluca Perniciano

Subject: Physical Sciences, Mathematical Physics Keywords: gianluca perniciano; warp drive; alcubierre warp drive; general ralativity

Online: 9 October 2019 (10:51:53 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201612.0004.v1

The Modified Kudryashov Method for the Conformal Time Fractional (3+1)-dimensional Kadomtsev-Petviashvili and the Modified Kawahara Equations

Alper Korkmaz

Subject: Physical Sciences, Mathematical Physics Keywords: conformal time fractional (3+1)-dimensional Kadomtsev-Petviashvili equation; conformal time fractional modified Kawahara equation; modified Kudryashov method; wave solution

Online: 1 December 2016 (10:17:05 CET)

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Preprint ARTICLE | doi:10.20944/preprints201709.0110.v1

Dynamics of Dual Scale-Free Polymer Networks

Mircea Galiceanu, Luan Tota de Carvalho, Oliver Mülken, Maxim Dolgushev

Subject: Physical Sciences, Mathematical Physics Keywords: polymer networks; scale-free networks; mechanical relaxation; eigenvalue problem

Online: 22 September 2017 (16:21:16 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201711.0092.v1

The Exact Evaluation of Some New Lattice Sums

John Zucker

Subject: Physical Sciences, Mathematical Physics Keywords: Jacobian q-series; closed form lattice sums

Online: 15 November 2017 (04:17:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints202006.0197.v1

Role of Fluctuations in COVID-19 Epidemic Resurgence after the Lockdown

Luca Gammaitoni, Igor Neri

Subject: Physical Sciences, Mathematical Physics Keywords: Covid-19; fluctuations; noise; epidemics; lockdown; promiscuity

Online: 16 June 2020 (07:42:04 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201809.0278.v2

Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge

Jonathan Gratus, Paul Kinsler, Martin W. McCall

Subject: Physical Sciences, Mathematical Physics Keywords: electromagnetism; topology; charge-conservation; constitutive relations; gauge freedom

Online: 11 March 2019 (10:36:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints201811.0598.v1

Some Second-Order Tensor Calculus Identities and Applications in Continuum Mechanics

Bohua Sun

Subject: Physical Sciences, Mathematical Physics Keywords: tensor; gradient; divergence; curl; elasto-plastic deformation

Online: 27 November 2018 (04:00:29 CET)

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Preprint ARTICLE | doi:10.20944/preprints201812.0194.v1

Theoretical Studies on the Creation of Artificial Magnetic Monopoles

Shinichi Ishiguri

Subject: Physical Sciences, Mathematical Physics Keywords: lorentz transformation; new electromagnetic equations cooper pairs

Online: 17 December 2018 (10:56:22 CET)

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Preprint REVIEW | doi:10.20944/preprints201803.0135.v1

Mathematical Modeling of Rogue Waves, a Review of Conventional and Emerging Mathematical Methods and Solutions

Sergio Manzetti

Subject: Physical Sciences, Mathematical Physics Keywords: Rogue; wave; models; non-linear; optics; ocean

Online: 16 March 2018 (13:31:03 CET)

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Preprint ARTICLE | doi:10.20944/preprints201710.0100.v1

Quantum Minimum Distance Classifier

Enrica Santucci

Subject: Physical Sciences, Mathematical Physics Keywords: quantum formalism applications; minimum distance classification; rescaling parameter

Online: 16 October 2017 (05:59:18 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201711.0040.v1

Behaviour of Charged Spinning Massless Particles

Ivan Morales, Bruno Neves, Zui Oporto, Olivier Piguet

Subject: Physical Sciences, Mathematical Physics Keywords: Lorentz symmetry; massless charged particle; spinning particle; relativistic particle

Online: 6 November 2017 (14:49:29 CET)

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Preprint ARTICLE | doi:10.20944/preprints201903.0114.v1

Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method

Alphonse Houwe, Zakia Hammouch, Dépélair Bienvenue, Savaissou Nestor, Gambo Betchewe, Serge Y. DOKA

Subject: Physical Sciences, Mathematical Physics Keywords: solitons; M-Fractional; integrability

Online: 11 March 2019 (07:56:29 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0118.v1

Construction of Maximally Multiqubit Entangled State by Using CNOT Gates

Xinwei Zha, Jun-ling Che

Subject: Physical Sciences, Mathematical Physics Keywords: Maximally multiqubit entangled state; Bell-pair state; CNOT gates

Online: 12 January 2018 (17:19:05 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0143.v1

Quarks in a Polar Model

Vladimir Salomatov

Subject: Physical Sciences, Mathematical Physics Keywords: current-quark masses; Helmholtz equation; roots of Bessel and Neumann functions

Online: 16 January 2018 (13:20:36 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 ARTICLE | doi:10.20944/preprints201809.0601.v1

Local Observers in an Expanding Universe: Is the Cosmological Constant Correlated with Thermodynamic Entropy?

Arturo Tozzi

Subject: Physical Sciences, Mathematical Physics Keywords: quantum vacuum; Bekenstein bound; cosmological constant; ergodicity

Online: 30 September 2018 (06:19:45 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201905.0021.v1

Quantum Computing in Four Spatial Dimensions

Arturo Tozzi, Muhammad Zubair Ahmad, James F. Peters

Subject: Physical Sciences, Mathematical Physics Keywords: hall effect; oscillations; fourth dimension; computer; superlattice

Online: 5 May 2019 (12:45:15 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/preprints201812.0341.v1

Regarding Rational Exponential and Hyperbolic Functions Solutions of Conformable Time-Fractional Phi-four Equation

Asim Zafar, Alper Korkmaz, Bushra Khalid, Hadi Rezazadeh

Subject: Physical Sciences, Mathematical Physics Keywords: Time-fractional Phi-four equation; Conformable derivatives; exp a function approach; Hyperbolic function approach; Exact solutions

Online: 28 December 2018 (08:05:11 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/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 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/preprints202003.0327.v1

Truncations of W∞ Algebras

Mohammed Akram Fellah

Subject: Physical Sciences, Mathematical Physics Keywords: Vertex Algebras on the corner; the GL-twisted N=4 Super Yang Mills gauge theory; W∞ Algebras

Online: 23 March 2020 (01:45:33 CET)

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Preprint ARTICLE | doi:10.20944/preprints201903.0175.v2

Quantum Mechanical Explanation for Dark energy, Cosmic Coincidence, Flatness, Age and Size of Universe

Biswaranjan Dikshit

Subject: Physical Sciences, Mathematical Physics Keywords: Dark energy, Cosmological constant problem, Cosmic coincidence problem, Flatness problem, Hubble’s law, Age of universe, Radius of universe

Online: 29 March 2019 (12:21:37 CET)

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Preprint ARTICLE | doi:10.20944/preprints201808.0196.v1

Higher Order Geometric Theory of Information and Heat based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures

Frederic Barbaresco

Subject: Physical Sciences, Mathematical Physics Keywords: Higher Order Thermodynamics; Lie Groups Thermodynamics; Homogeneous Manifold; Poly-Symplectic Manifold; Dynamical Systems; Non-equivariant Cohomology

Online: 9 August 2018 (15:19:18 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 ARTICLE | doi:10.20944/preprints201905.0217.v1

On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials

Ugur Duran, Mehmet Acikgoz

Subject: Physical Sciences, Mathematical Physics Keywords: p-adic numbers, p-adic gamma function, p-adic Euler constant, Mahler expansion, q-Boole polynomials, Stirling numbers of the first kind.

Online: 16 May 2019 (15:35:19 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201910.0114.v1

An Approximate Solution to Prandtl’s Equations for a Laminar Flow over an Infinite Horizontal Flat Plate

John Venetis

Subject: Physical Sciences, Mathematical Physics Keywords: boundary layer flow; flat plate; Prandtl’s equations

Online: 10 October 2019 (07:45:58 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201810.0097.v1

Scaling Group Analysis of Mixed Bioconvective Flow in Nanofluid with Presence of Slips, MHD and Chemical Reactions

Mohd Faisal Mohd Basir, M. Jashim Uddin, Ahmad Izani Md. Ismail

Subject: Physical Sciences, Mathematical Physics Keywords: Bioconvection, Magnetohydrodynamics, Scaling group of transformations, Slip boundary conditions, Chemical reaction

Online: 5 October 2018 (11:39:39 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201805.0476.v1

Analysis of the Angular Dependence of Time Delay in Gravitational Lensing

Nicola Alchera, Marco Bonici, Roberta Cardinale, Alba Domi, Nicola Maggiore, Chiara Righi, Silvano Tosi

Subject: Physical Sciences, Mathematical Physics Keywords: gravitational lenses; hubble constant; cosmology

Online: 31 May 2018 (11:43:05 CEST)

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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/preprints201809.0012.v1

Variations à la Fourier-Weyl-Wigner on Quantizations of the Plane and the Half-Plane

Hervé Bergeron, Jean-Pierre Gazeau

Subject: Physical Sciences, Mathematical Physics Keywords: Weyl-Heisenberg group; affine group; weyl quantization; wigner function; covariant integral quantization

Online: 3 September 2018 (06:01:25 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201805.0023.v1

Nonlinear Kinetics on a Lattice Featuring Anomalous Diffusion

Giorgio Kaniadakis, Dionissios T. Hristopulos

Subject: Physical Sciences, Mathematical Physics Keywords: Fokker-Planck equations; fermion statistics; boson statistics; Haldane statistics; Kinetic interaction principle; anomalous diffusion; Fokker-Planck current

Online: 2 May 2018 (11:36:35 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201804.0288.v1

Exact solutions for the axial pressure drop in isothermal channels with maxwell slip flow

Alex Christian Hoffmann, Stamatina Karakitsiou, Bodil Holst

Subject: Physical Sciences, Mathematical Physics Keywords: Maxwell slip flow; microchannels; pressure profile

Online: 23 April 2018 (11:50:03 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/preprints201909.0299.v1

Universal Scaling Laws of Origami Paper Springs

Bohua Sun

Subject: Physical Sciences, Mathematical Physics Keywords: origami; paper spring; elastic; bending; twist; deformation

Online: 26 September 2019 (11:53:23 CEST)

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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/preprints201804.0348.v1

Application of Self-Similar Symmetry Model to Dark Energy

Tomohide Sonoda

Subject: Physical Sciences, Mathematical Physics Keywords: dark energy; dark matter; cosmic microwave background; large numbers hypothesis; varying fundamental constants; symmetry

Online: 27 April 2018 (06:01:12 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201805.0155.v1

Analytical and Numerical Treatments of Conservative Diffusions and the Burgers Equation

Dimiter Prodanov

Subject: Physical Sciences, Mathematical Physics Keywords: monte-carlo simulations; burgers equation; langevin equation; fractional velocity

Online: 10 May 2018 (06:11:01 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201809.0368.v4

C⁴ Space-Time.. A Window to New Physics?

Dimitris Mastoridis, Konstantinos Kalogirou

Subject: Physical Sciences, Mathematical Physics Keywords: extended space-time; complex space-time; unified theories; geometric unification; dark matter-energy; Cartan's principle of triality; extended general-special relativity

Online: 7 February 2020 (04:34:13 CET)

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We explore the possibility to form a physical theory in $C^4$. We argue that the expansion of our usual 4-d real space-time to a 4-d complex space-time, can serve us to describe geometrically electromagnetism and nuclear fields and unify it with gravity, in a different way that Kaluza-Klein theories do. Specifically, the electromagnetic field $A_\mu$, is included in the free geodesic equation of $C^4$. By embedding our usual 4-d real space-time in the symplectic 8-d real space-time (symplectic $R^8$ is algebraically isomorphic to $C^4$), we derive the usual geodesic equation of a charged particle in gravitational field, plus new information which is interpreted. Afterwards, we formulate and explore the extended special relativity and extended general relativity an $C^4$ or$R^8$. After embedding our usual 4-d space-time in $R^8$, two new phenomena rise naturally, that are interpreted as "dark matter" and "dark energy". A new cosmological model is presented, while the geometrical terms associated with "dark matter" and "dark energy" are investigated. Similarities, patterns and differences between "dark matter", "dark energy", ordinary matter and radiation are presented, where "dark energy" is a dynamic entity and "dark matter" reveal itself as a "mediator" betwen ordinary matter and "dark energy". Moreover, "dark matter" is deeply connected with "dark energy". Furthermore, the extended Hamilton-Jacobi equation of the extended space-time, is transformed naturally as an extended Klein-Gordon equation, in order to get in contact with quantum theories. By solving the Klein-Gordon equation analytically, we derive an eigenvalue for Higg's boson mass value at 125,173945 $Gev/c^{2}$. The extended Klein-Gordon equation, also connects Higg's boson (or vacuum) with Cosmology, due to the existence of our second "time" T (cosmological time), which serve us to connect quantum theories with Cosmology. Afterwards, in the general case, we explore the symmetries of the curved Hamilton-Jacobi equation locally, in order to investigate the consequences of a $C^4$ space-time in Standard Model. An extension to Standard Model is revealed, especially in the sector of strong nuclear field. The Stiefel manifold $SU(4)/SU(2)$ seems capable not only to describe the strong nuclear field but give us,as well, enough room to explore in the future, the possibility to explain quark confinment. Our extension, flavors firstly the unification of nuclear fields and afterwards the unification of nuclear fields with electromagnetic field. The desired grand unification, is achieved locally, through the symmetry group $GL(4,C)\simeq SO(4,4)\cap U(4)$ and we present a potential mechanism to reduce the existing particle numbers to just six. Afterwards,23 present the extended Dirac equation in $C^4$ space-time (Majorana-Weyl representation) plus a preliminary attempt to introduce a pure geometric structure for fermions. Finally, we consider a new geometric structure through n-linear forms in order to give geometric explanation for quantisation

Preprint ARTICLE | doi:10.20944/preprints201810.0413.v2

Black Hole as Gravitational Hydrogen Atom by Rosen’s Quantization Approach

Christian Corda, Fabiano Feleppa

Subject: Physical Sciences, Mathematical Physics Keywords: Gravitational atom; quantum black hole; quantum levels; Schrodinger equation; mass spectrum.

Online: 23 November 2018 (14:29:57 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 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/preprints201908.0294.v1

Feasibility of Multi-Year Forecast for the Colorado River Water Supply: Time Series Modeling

Brian Plucinski, S.-Y. Simon Wang, Yan Sun, R. R. Gillies, James Eklund, C.-C. Wang

Subject: Physical Sciences, Mathematical Physics Keywords: time series; Colorado River; water supply; cross-validation; decadal prediction

Online: 28 August 2019 (11:32:10 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/preprints201910.0347.v1

Stability and Periodic Nature of a System of Difference Equations

Erkan Taşdemir

Subject: Physical Sciences, Mathematical Physics Keywords: difference equations; equilibrium points; stability; periodicity; invariant

Online: 30 October 2019 (04:29:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints201811.0250.v1

High-throughput of measure-preserving integrators for constant temperature molecular dynamics simulations on GPUs

Luis Guarneros-Nolasco, Ketzasmin A. Terrón-Mejía, Jorge Mulia-Rodríguez, Daniel Osorio-Gonzalez, Roberto López-Rendón, Felipe Rodriguez-Romero

Subject: Physical Sciences, Mathematical Physics Keywords: High-Throughput Molecular Dynamics (HTMD) simulations; Nosé-Hoover Chain (NHC); Canonical ensemble; Graphics Processing Units (GPUs).

Online: 9 November 2018 (15:26:49 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 REVIEW | doi:10.20944/preprints201803.0135.v2

Mathematical Modeling of Rogue Waves, a Review of Conventional and Emerging Mathematical Methods and Solutions

Sergio Manzetti

Subject: Physical Sciences, Mathematical Physics Keywords: rogue; wave; models; KdV; NLSE; non-local; ocean; optics

Online: 27 April 2018 (07:55:12 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201812.0218.v1

Approximating Ground States by Neural Network Quantum States

Ying Yang, Chengyang Zhang, Huaixin Cao

Subject: Physical Sciences, Mathematical Physics Keywords: approximation; ground state; neural network quantum state

Online: 18 December 2018 (10:39:29 CET)

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Preprint ARTICLE | doi:10.20944/preprints201909.0086.v1

Orbits Connectivity and the False Asymptotic Behavior at Iterated Functions with Lyapunov Stability

Charles Roberto Telles

Subject: Physical Sciences, Mathematical Physics Keywords: iterated function; asymptotic analysis; discretization; stability theory; metric space; qualitative theory of differential equations

Online: 8 September 2019 (16:09:07 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 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

Cosmological Constant Decaying with CMB Temperature

Tomohide Sonoda

Subject: Physical Sciences, Mathematical Physics Keywords: dark energy; dark matter; cosmic microwave background; large numbers hypothesis; varying fundamental constants; symmetry

Online: 14 June 2019 (09:53:08 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201812.0286.v1

Evolution of Correlations of Many-Particle Quantum Systems in Condensed States

Viktor Gerasimenko

Subject: Physical Sciences, Mathematical Physics Keywords: von Neumann hierarchy, nonlinear quantum BBGKY hierarchy, quantum kinetic equation, correlation of states, scaling limit.

Online: 24 December 2018 (15:24:11 CET)

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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/preprints201807.0018.v1

Dislocation Density Tensor of Thin Elastic Shells at Finite Deformation

Bohua Sun

Subject: Physical Sciences, Mathematical Physics Keywords: dislocation density tensor, thin shells, Riemann curvature tensor

Online: 2 July 2018 (17:08:27 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/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/preprints201908.0049.v1

The Original Method of Deriving Transformations for Kinematics with a Universal Reference System

Roman Szostek

Subject: Physical Sciences, Mathematical Physics Keywords: kinematics; universal frame of reference; coordinate and time transformation; one-way speed of light; summing speed; relative speed

Online: 5 August 2019 (05:20:28 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201810.0713.v2

A Quantum Mechanical Relationship between Milgrom’s Acceleration Constant and the Bekenstein-Hawking Entropy Expression

Engel Roza

Subject: Physical Sciences, Mathematical Physics Keywords: Milgrom’s acceleration constant; Bekenstein-Hawking entropy; gravitational dipole; dark matter

Online: 12 December 2018 (14:36:52 CET)

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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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Preprint ARTICLE | doi:10.20944/preprints201912.0017.v1

An Explicit Scaling Law for the Speed of Falling Dominoes

Bohua Sun

Subject: Physical Sciences, Mathematical Physics Keywords: domino; speed; height; thickness; separation

Online: 3 December 2019 (05:28:53 CET)

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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/preprints201809.0278.v1

Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge

Jonathan Gratus, Paul Kinsler, Martin W. McCall

Subject: Physical Sciences, Mathematical Physics Keywords: electromagnetism; topology; charge-conservation; constitutive relations; gauge freedom

Online: 16 September 2018 (08:12:22 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201809.0369.v1

Field Equations in C⁴ Space-Time

Dimitris Mastoridis, K. Kalogirou

Subject: Physical Sciences, Mathematical Physics Keywords: general relativity; geometric unication; dark matter-energy; mass geometrisation; complex space-time; symplectic space-time; extended space-time

Online: 19 September 2018 (08:21:48 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201809.0368.v1

C⁴ Space-Time.. A Window to New Physics?

Dimitris Mastoridis, K. Kalogirou

Subject: Physical Sciences, Mathematical Physics Keywords: extended space-time; complex space-time; unied theories; geometric unication; dark matter-energy; Cartan's principle of triality; extended general-special relativity

Online: 19 September 2018 (08:18:55 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201807.0309.v2

Examining the Schelling Model Simulation through an Estimation of its Entropy

Alexander V. Mantzaris, John A. Marich, Tristin W. Halfman

Subject: Physical Sciences, Mathematical Physics Keywords: Schelling Model; Spatial Analysis; Entropy

Online: 22 August 2018 (11:21:05 CEST)

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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 ARTICLE | doi:10.20944/preprints201912.0017.v4

Universal Scaling Law for the Velocity of Dominoes Toppling Motion

Bohua Sun

Subject: Physical Sciences, Mathematical Physics Keywords: dominoes; toppling motion; velocity; height; thickness; separation

Online: 17 March 2020 (04:24:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints201809.0371.v1

Dynamic Path in C⁴ Space-Time

Dimitris Mastoridis, K. Kalogirou

Subject: Physical Sciences, Mathematical Physics Keywords: dynamic path; ADM formalism; complex space-time; extended space-time; unied theories; geometric unication

Online: 19 September 2018 (08:30:15 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/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/preprints201809.0368.v3

C⁴ Space-Time.. A Window to New Physics?

Dimitris Mastoridis, K. Kalogirou

Subject: Physical Sciences, Mathematical Physics Keywords: extended space-time; complex space-time; united theories; geometric unification; dark matter-energy; Cartan's principle of triality; extended general-special relativity

Online: 17 October 2019 (09:51:27 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201809.0363.v1

Dual Quantum Mechanics and Its Electromagnetic Analog

Arbab Arbab

Subject: Physical Sciences, Mathematical Physics Keywords: relativistic quantum mechanics; Maxwell's electrodynamics; symmetrized Maxwell's equations; quaternionic quantum mechanics; telegraph equation; hall effect

Online: 19 September 2018 (04:26:00 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201808.0040.v1

Modeling the Transport and Fate of Sediments Released from Marine Construction Projects in the Coastal Waters of British Columbia, Canada

David B. Fissel, Yuehua Lin

Subject: Physical Sciences, Mathematical Physics Keywords: British Columbia; environmental assessment; marine construction; circulation; numerical model; sediment model; tidal current; wind-driven current; stratification; initial dilution zone

Online: 2 August 2018 (08:36:50 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201807.0309.v1

Examining the Schelling Model Simulation through an Estimation of its Entropy

Alexander V. Mantzaris, John A. Marich, Tristin W. Halfman

Subject: Physical Sciences, Mathematical Physics Keywords: Schelling Model; Spatial Analysis; Entropy

Online: 17 July 2018 (11:57:36 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/preprints201912.0017.v2

Universal Scaling Law for the Velocity of Dominoes Toppling Motion

Bohua Sun

Subject: Physical Sciences, Mathematical Physics Keywords: domino; speed; height; thickness; separation

Online: 9 December 2019 (03:36:12 CET)

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