**Previous months:**

2007 - 0703(2)

2008 - 0812(1)

2009 - 0907(1) - 0908(3) - 0909(1) - 0910(2)

2010 - 1001(3) - 1002(1) - 1003(1) - 1006(13) - 1007(2) - 1009(2) - 1010(3) - 1011(1) - 1012(5)

2011 - 1101(4) - 1102(4) - 1103(3) - 1104(1) - 1105(3) - 1106(2) - 1107(2) - 1108(4) - 1109(2) - 1110(1) - 1111(10) - 1112(2)

2012 - 1201(3) - 1202(2) - 1203(6) - 1204(3) - 1205(5) - 1206(8) - 1207(4) - 1208(4) - 1209(2) - 1210(2) - 1211(4) - 1212(7)

2013 - 1301(8) - 1302(7) - 1303(7) - 1304(5) - 1305(27) - 1306(5) - 1307(8) - 1308(7) - 1309(7) - 1310(9) - 1311(12) - 1312(2)

2014 - 1401(10) - 1402(8) - 1403(16) - 1404(11) - 1405(8) - 1406(6) - 1407(4) - 1408(9) - 1409(7) - 1410(6) - 1411(7) - 1412(8)

2015 - 1501(11) - 1502(10) - 1503(9) - 1504(10) - 1505(12) - 1506(9) - 1507(8) - 1508(9) - 1509(4) - 1510(19) - 1511(11) - 1512(8)

2016 - 1601(5) - 1602(8) - 1603(8) - 1604(6) - 1605(14) - 1606(11) - 1607(5) - 1608(13) - 1609(17) - 1610(17) - 1611(6) - 1612(23)

2017 - 1701(9) - 1702(9) - 1703(5) - 1704(10) - 1705(17) - 1706(9) - 1707(14) - 1708(14) - 1709(6) - 1710(16) - 1711(11) - 1712(7)

2018 - 1801(16) - 1802(19) - 1803(9) - 1804(10) - 1805(6) - 1806(8) - 1807(6) - 1808(14) - 1809(11) - 1810(13) - 1811(7) - 1812(4)

2019 - 1901(10) - 1902(9) - 1903(6) - 1904(15) - 1905(5) - 1906(10) - 1907(6) - 1908(12) - 1909(10) - 1910(6)

Any replacements are listed farther down

[906] **viXra:1910.0279 [pdf]**
*submitted on 2019-10-16 03:19:06*

**Authors:** Yuji Masuda

**Comments:** 91 Pages.

This is Big Bang Model in 2013.

**Category:** Mathematical Physics

[905] **viXra:1910.0241 [pdf]**
*submitted on 2019-10-14 14:20:32*

**Authors:** Richard Lawrence Norman, Jeremy Dunning-Davies

**Comments:** 14 Pages.

As has been pointed out on several occasions, misinterpretations of experimental results and the concealment - sometimes actual suppression - of scientific work deemed to be outside the bounds of perceived conventional wisdom have been allowed to go unchecked. This attitude has undoubtedly blocked some avenues of approach to the solution of present day problems. Here it is intended to attempt to bring attention to some new avenues of research which may prove fruitful in the future in solving at least some of the problems facing humanity concerning energy production and shortage.

**Category:** Mathematical Physics

[904] **viXra:1910.0211 [pdf]**
*submitted on 2019-10-13 05:00:00*

**Authors:** Ninh Khac Son

**Comments:** 57 Pages. This manuscript is under peer review by a scientific journal.

The study of time and space categories is the two basic categories of Philosophy - Physics - Mathematics. The manuscript content focuses on the most
basic foundations of nature, and has since drawn some great results that we
rarely notice, such as:
1. About Philosophy
• Proved the existence of time and non-dilation.
• Proved that matter is always motionless in space.
• Conclusion that space is energy.
• ...
2. About Mathematics
• Solved the squaring the circle problem(a millennium problem).
• Proved that the value of pi is equal to 2.
• ...
3. About Physics
• Explained the nature of gravity.
• Explained dark energy, spin value of Nucleon
• Explained matter and antimatter
• ...
Much of what this manuscript has discovered goes against what we understand about the world. And the manuscript was built with the purpose of
helping a part in the development of modern science.
Key words: Foundations of Philosophy; Foundations of Physics; Foundations of Geometry.

**Category:** Mathematical Physics

[903] **viXra:1910.0198 [pdf]**
*submitted on 2019-10-12 20:54:21*

**Authors:** Archibald Ulrich Thor

**Comments:** 5 Pages.

The present note adresses a paper by DiNunno & Matzner, in which the authors claim that 1) the volume of a J=Q=0 black hole as measured in "Schwarzschild coordinates" vanishes and 2) the volume itself is coordinate-dependent. We refute these statements as elementary conceptual mistakes, which originate from a basic misunderstanding of general covariance in the context of the gauge theory of General Relativity.

**Category:** Mathematical Physics

[902] **viXra:1910.0139 [pdf]**
*submitted on 2019-10-09 09:26:12*

**Authors:** Rishi Raj

**Comments:** 3 Pages.

The following paper can change the view of string theorists on how they calculate the dimensions in string theory and also provides an important insight into mathematics. I have shown all this in layman terms and hope that this is useful.

**Category:** Mathematical Physics

[901] **viXra:1910.0038 [pdf]**
*submitted on 2019-10-05 09:39:41*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 198 Pages.

In the present research thesis, we have obtained various and interesting new mathematical connections concerning ϕ, ζ(2), the Rogers-Ramanujan identities, the Holographic Proton Mass, some like-particle solutions and the Black Hole Entropies.

**Category:** Mathematical Physics

[900] **viXra:1909.0574 [pdf]**
*submitted on 2019-09-26 14:05:37*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 197 Pages.

In the present research thesis, we have obtained various and interesting new possible mathematical results concerning ζ(2), ϕ and the Rogers-Ramanujan identity. We obtain various mathematical connections with some sectors of Particles Physics and the Black Hole physical parameters.

**Category:** Mathematical Physics

[899] **viXra:1909.0500 [pdf]**
*submitted on 2019-09-23 10:07:53*

**Authors:** Kaushal Timilsina

**Comments:** 12 Pages. I am fascinated to explore ideas even when I do not know the correct answers.

In this non-rigorous, possibly inconsistent paper where I talk about quite a few things I do not understand properly, I build a set to describe a very exciting notion: "Infinite-dimensional manifolds are compact surfaces without interiors (and exteriors). Motivated by the implications (that I write about), I am pretty fascinated by such a new perspective.

**Category:** Mathematical Physics

[898] **viXra:1909.0420 [pdf]**
*submitted on 2019-09-19 09:18:32*

**Authors:** Ervin Goldfain

**Comments:** 5 Pages.

This short pedagogical report is based on a couple of premises. First, it was recently shown that the long run of non-equilibrium Renormalization Group flows is prone to end up on strange attractors. As a result, multifractals are likely to provide the proper framework for the characterization of effective field theories. Secondly, it is known that multifractal analysis uses the Kolmogorov entropy (K-entropy) to quantify the degree of disorder in chaotic systems and turbulent flows. Building on these premises, the report details the remarkable connection between K-entropy, multifractal sets and spacetime dimensions. It also supports the proposal that near and above the Fermi scale, spacetime is defined by continuous and arbitrarily small deviations from four-dimensions.

**Category:** Mathematical Physics

[897] **viXra:1909.0412 [pdf]**
*submitted on 2019-09-19 13:02:12*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 151 Pages.

In the present research thesis, we have obtained various interesting new mathematical connections concerning the Ramanujan’s mock theta functions, some like-particle solutions, Supersymmetry, some formulas of Haramein’s Theory and Black Holes entropies. We obtain excellent approximations to the values of the golden ratio, its conjugate and ζ(2)

**Category:** Mathematical Physics

[896] **viXra:1909.0401 [pdf]**
*submitted on 2019-09-20 05:07:10*

**Authors:** Vu B Ho

**Comments:** 16 Pages.

In this work we discuss the possibility to classify relativity in accordance with the classification of second order partial differential equations that have been applied into the formulation of physical laws in physics. In mathematics, second order partial differential equations can be classified into hyperbolic, elliptic or parabolic type, therefore we show that it is also possible to classify relativity accordingly into hyperbolic, elliptic or parabolic type by establishing coordinate transformations that preserve the forms of these second order partial differential equations. The coordinate transformation that preserves the form of the hyperbolic equation is the Lorentz transformation and the associated space is the hyperbolic, or pseudo-Euclidean, relativistic spacetime. Typical equations in physics that comply with hyperbolic relativity are Maxwell and Dirac equations. The coordinate transformation that preserves the form of the elliptic equation is the modified Lorentz transformation that we have formulated in our work on Euclidean relativity and the associated space is the elliptic, or Euclidean, relativistic spacetime. Typical equations in physics that comply with elliptic relativity are the equations that describe the subfields of Maxwell and Dirac equations. And the coordinate transformation that preserves the form of the parabolic equation is the Euclidean transformation consisting of the translation and rotation in the spatial space and the associated space is the parabolic relativistic spacetime, which is a Euclidean space with a universal time. Typical equations in physics that comply with parabolic relativity are the diffusion equation, the Schrödinger equation and in particular the diffusion equations that are derived from the four-current defined in terms of the differentiable structures of the spacetime manifold and the Ricci flow.

**Category:** Mathematical Physics

[895] **viXra:1909.0371 [pdf]**
*submitted on 2019-09-17 11:26:07*

**Authors:** Antoine Balan

**Comments:** 2 pages, written in french

We propose to replace the smooth functions by the even exterior forms, so making the tensor calculus of forms.

**Category:** Mathematical Physics

[894] **viXra:1909.0368 [pdf]**
*submitted on 2019-09-17 15:11:10*

**Authors:** Robert Bennett

**Comments:** 4 Pages.

The Fresnel drag formula was verified by Fizeau’s water-channel test.
SoL = c/n + v(1-1/n2)
The theoretical derivation* offered herein supports:
•Full aether dragging by fluids – speed of the fluid medium equals the speed of the entrained aether in the lab - Vm = Va
•The Hertz EM laws, which replace Maxwell’s partial derivatives with total time derivatives, introducing thereby laws that are Galilean covariant(not Lorentzian)...and an additional parameter, a convective velocity ...of aether, Va.
• The kinematic invariants of proper time, using distance and velocity to first order in v/c.
•The Fresnel drag equation, as confirmed by Fizeau.
The following uses Robert’s Rules of reasoning, based on the scientific method and philo-realism.

**Category:** Mathematical Physics

[893] **viXra:1909.0177 [pdf]**
*submitted on 2019-09-08 14:01:25*

**Authors:** M. Nonti, J. Akande, P. Mallick, K. K. D. AdjaÏ, B. Rath, M. D. Monsia

**Comments:** 2 pages

We propose in this paper first integrals and Lagrangian analysis of nonlinear differential equations.

**Category:** Mathematical Physics

[892] **viXra:1909.0176 [pdf]**
*submitted on 2019-09-08 14:11:28*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 114 Pages.

In the present research thesis, we have obtained further interesting new possible mathematical connections concerning the mathematics of Ramanujan mock theta functions, some sectors of Particle Physics, concerning principally the Dark Matter candidate particles and the physics of black holes.

**Category:** Mathematical Physics

[891] **viXra:1909.0113 [pdf]**
*submitted on 2019-09-05 12:49:34*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 166 Pages.

In the present research thesis, we have obtained various interesting new possible mathematical connections concerning some developments of Ramanujan’s Mock Theta Functions, some sectors of Particle Physics, concerning principally the Dark Matter candidate particles and the physics of black holes.

**Category:** Mathematical Physics

[890] **viXra:1909.0101 [pdf]**
*submitted on 2019-09-06 00:09:24*

**Authors:** Vu B Ho

**Comments:** 14 Pages.

In this work we further examine possible mathematical structures and physical properties of Maxwell and Dirac field by formulating the two fields in a six-dimensional spatiotemporal manifold in which both space and time have three dimensions. We show that although Maxwell and Dirac field each can be formulated as a single field in a more symmetrical structure in terms of space and time in the six-dimensional spatiotemporal continuum, Maxwell and Dirac six-dimensional field can be decoupled into two separate fields that exist in the Minkowski pseudo-Euclidean spactime and the Euclidean three-dimensional temporal manifold, respectively. The coexistent temporal elliptic field to Maxwell field in the three-dimensional temporal manifold is a free field and the coexistent temporal elliptic field to Dirac field is massless. While Maxwell and Dirac field comply with the pseudo-Euclidean relativity, both coexistent fields conform to the temporal Euclidean relativity.

**Category:** Mathematical Physics

[889] **viXra:1908.0535 [pdf]**
*submitted on 2019-08-26 19:47:24*

**Authors:** M.V. Nembahe

**Comments:** 3 Pages. 1 figure

This current paper builds on my previous analysis; where I showed that a set preserved finite unit of time (hour), with respect to Earth and Moon, corresponds to a set preserved finite unit of distance (kilometer). Here I now show why such distance-time unit relation was achieved without the inclusion of mass; granted the preserved 90 degree angle, wherein Earth and Moon coexist as deflated boundaries; did not compromise their radians and squared distance in aiding for the synthesis of time. But the case is not the same with mass; granted the 90 degree angle must remain constant at t=0 opposite-off mass. Mass would thus be found to be the ratio between the two deflated boundaries combined; relativistic to the thus 90 degree empty void.

**Category:** Mathematical Physics

[888] **viXra:1908.0483 [pdf]**
*submitted on 2019-08-23 10:16:21*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 144 Pages.

In the present research thesis, we have obtained various and interesting new possible mathematical connections concerning the exact renormalization group and some sectors of Ramanujan mathematics, String Theory and Particle Physics

**Category:** Mathematical Physics

[887] **viXra:1908.0479 [pdf]**
*submitted on 2019-08-24 01:14:12*

**Authors:** Vu B Ho

**Comments:** 16 Pages.

In this work we discuss the nature of Maxwell and Dirac field by examining the mathematical structures of the subfields that are coupled to form these two physical fields. We show that while Maxwell and Dirac field are hyperbolic fields which are described by wave equations the subfields are elliptic fields which are described by elliptic equations. Therefore, it is reasonable to suggest that the subfields are more fundamental and should be used to represent quantum particles in stable states with invariant physical properties. Furthermore, since the subfields are described by elliptic equations therefore they comply with the Euclidean relativity rather than the pseudo-Euclidean relativity as Maxwell and Dirac fields do, and this results in profound implications such as if quantum particles possess physical properties that are represented by subfields which are described by elliptic equations, hence acting in accordance with the Euclidean relativity, then they can be used to explain physical phenomena that require physical transmissions with speeds greater than the speed of light in vacuum, such as the Einstein-Podosky-Rosen paradox in quantum entanglement. As a further discussion, we also show that it is possible to formulate a Dirac-like elliptic field that complies with the Euclidean relativity.

**Category:** Mathematical Physics

[886] **viXra:1908.0431 [pdf]**
*submitted on 2019-08-20 07:41:02*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 161 Pages.

In the present research thesis, we have obtained further interesting mathematical connections with various Ramanujan’s Mock theta functions of order 8, order 7, order 6, order 2 and some sectors of Particle Physics and Black Hole Physics.

**Category:** Mathematical Physics

[885] **viXra:1908.0329 [pdf]**
*submitted on 2019-08-15 19:28:24*

**Authors:** Bheemaiah, Anil Kumar

**Comments:** 3 Pages.

Abstract: Not theory is a derivation from
standard Knot Theory, inspired by Knots
and topological spaces in the E8 theory of
Unification.
In Not Theory, we consider an E8 based
fiber theory of nature, extending it to a
simulated universe as strands. Not theory is
about the mathematics of the application of
‘nots’ to strands.
In this paper, we consider a closure proof,
and proof of completeness to not
applications on arbitrary not as applicable to
a particle and quasi-particle model.
What:
Axioms: A strand is a fundamental
resonance of nature starting in one
singularity and ending in another. These two
singularities are in E8 space-time, with
many operators acting on them.
Axiom: Any quasi-particle or particle can be
described as an aspect of a strand, a
resonance in space-time.
Theorem 1: Closure: Operation of a not
on a strand leads to a resonance in energy
time of space and momentum which is also
a strand.
Theorem 2: Completeness: All particle
and quasi-particle interactions can be
represented as strands.

**Category:** Mathematical Physics

[884] **viXra:1908.0299 [pdf]**
*submitted on 2019-08-15 01:44:10*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 136 Pages.

In the present research thesis, we have obtained various and interesting new possible mathematical developments concerning some Ramanujan’s Mock theta functions of tenth order and Mathematical connections with some sectors of Particle Physics and Black Hole physics

**Category:** Mathematical Physics

[883] **viXra:1908.0286 [pdf]**
*submitted on 2019-08-15 14:58:34*

**Authors:** Rafik Zeraoulia

**Comments:** 09 Pages. no comments

In this note we present a new approach to proof the Riemann hypothesis one of the most important open problem in pure mathematics using a new operator derived from unitary operator groups acts on Riemann-Siegal function and it uses partition function for Hamiltonian operator , The interest idea is to compute the compositional inverse of Riemann zeta function at $s=-\frac12$ such as we show that:$\zeta^{-1}(-\frac12)
=\zeta(\frac12+i \beta)=0$
for some $\beta >0 $

**Category:** Mathematical Physics

[882] **viXra:1908.0162 [pdf]**
*submitted on 2019-08-09 18:38:30*

**Authors:** M.V Nembahe

**Comments:** 4 Pages.

There's a general consensus among cosmologists; that the zero-equivalent time (t=0) can only mean the present (now) as far as the Hubble constant is concerned. But the constant's initial value of 0 is problematic; as it misuses distance and time in conjunction with the Cartesian coordinate system and together I find have nothing to do with the quantification of t=0 and so run the risk of predicting infinitesimal velocity of infinite distance and time.

**Category:** Mathematical Physics

[881] **viXra:1908.0154 [pdf]**
*submitted on 2019-08-10 05:19:34*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 357 Pages. UPDATED VERSION

In this research paper we have obtained some interesting mathematical connections between various equations inherent the works concerning JT Gravity, open strings on the Rindler Horizon, Gauge Theory and integrability and Topological Gravity of Witten et al. and some sectors of Ramanujan’s mathematics, principally the Mock Theta Functions and ζ(2) and some expressions concerning the mass of some particles.

**Category:** Mathematical Physics

[880] **viXra:1908.0138 [pdf]**
*submitted on 2019-08-07 10:57:53*

**Authors:** Germann Frosch

**Comments:** 2 Pages.

In this article we briefly show how to connect Riemann Hypothesis to the Infinite Quantum System. We obtain the needed results.
Simple example of such quantum system is a Frog sound system.

**Category:** Mathematical Physics

[879] **viXra:1908.0116 [pdf]**
*submitted on 2019-08-08 03:07:47*

**Authors:** Heinz Volkenborn

**Comments:** 1 page

The proof of the Riemann Hypothesis requires a decoding of the fine-structure constant in which is shown, why the Riemann zeta function cannot show a zero point with Re (s) = 1, off the critical line Re (s) = 1/2

**Category:** Mathematical Physics

[878] **viXra:1908.0033 [pdf]**
*submitted on 2019-08-03 01:43:34*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 172 Pages.

In this research paper, we have obtained further mathematical connections with some sectors of Particle Physics, String Theory and Physics of Black Holes (entropy) and the Ramanujan approximation to π, invariant class and other expressions extracted from some pages of original manuscript

**Category:** Mathematical Physics

[877] **viXra:1907.0525 [pdf]**
*submitted on 2019-07-26 12:34:20*

**Authors:** Ayéna Vignon Régis Yehossou, Marcellin Nonti, Jean Akande, Marc Delphin Monsia

**Comments:** 2 pages

A class of second order linear variable differential equations which may exhibit elementary function solutions is developed in this paper. It is shown that this class includes as special case the equation record in Kamke’s book as equation 2. 80.

**Category:** Mathematical Physics

[876] **viXra:1907.0398 [pdf]**
*submitted on 2019-07-22 02:32:07*

**Authors:** Dmitri Martila

**Comments:** 11 Pages. Manuscript is copyrighted by Estonian Notar Agency.

Slow precession of the Earth rotation axis, and the Moon-Earth orbital resonance were accompanied during centuries by Newton's and Laplace's explanations. However, in the present paper, the author considers the possibility of additional factor: the small violation of the global energy-momentum conservation. Thus, the energy-momentum concept being not conserved, cannot be regarded as total (global) energy-momentum of system.
The recently experimentally verified Lense-Thirring Effect and the Mercury's perihelion anomalous shift cannot be found in Newton Physics, and the latter demands the global energy-momentum conservation. Thus, the shift violates global energy-momentum conservation. Why? Because the energy-momentum is defined locally, not globally.

**Category:** Mathematical Physics

[875] **viXra:1907.0365 [pdf]**
*submitted on 2019-07-18 08:11:09*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 202 Pages.

In the present research thesis, we have obtained various and interesting mathematical connections between some equations of the ‘Black Hole Entropy and Soft Hair’, the fundamental last paper of S.W. Hawking, mathematics and physics of Black Hole, Ramanujan’s Class Invariants and Mock Theta Functions

**Category:** Mathematical Physics

[874] **viXra:1907.0180 [pdf]**
*submitted on 2019-07-12 08:20:03*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 150 Pages.

In the present research thesis, we have obtained various and interesting new possible mathematical results concerning various Ramanujan’s formulas. Furthermore, we have described new possible mathematical connections with the mass value of candidate “glueball” f0(1710) meson, other particles and with the Black Hole entropies.

**Category:** Mathematical Physics

[873] **viXra:1907.0104 [pdf]**
*submitted on 2019-07-06 15:01:54*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 181 Pages.

In the present research thesis, we have obtained various and interesting new possible mathematical results concerning some equations of the Ramanujan’s Master Theorem. Furthermore, we have described new possible mathematical connections with the mass value of candidate “glueball” f0(1710) meson, Dark Photons and with the Black Hole entropies.

**Category:** Mathematical Physics

[872] **viXra:1907.0027 [pdf]**
*submitted on 2019-07-01 07:41:08*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 185 Pages.

In the present research thesis, we have obtained various and interesting new possible mathematical developments concerning some Ramanujan’s Mock theta functions of tenth order and mathematical connections with some sectors of Particle Physics and Black Hole physics

**Category:** Mathematical Physics

[871] **viXra:1906.0468 [pdf]**
*submitted on 2019-06-24 10:38:02*

**Authors:** Markos Georgallides

**Comments:** 121 Pages.

Article 81 is engaged with the Physical Interpretation of Gravity and Gravitational constants , the Origin of Hydrogen cave , Electron and Photon . The Analysis of Work which is Motion , or Energy is in priority .The Quantiation of Geometry and Energy results to the Material Geometry which was prior analyzed . A discussion on all referred Subjects follows with a mathematical analysis on every referred subject .
A criticism is done on EPR Argument and is presented a current method to what is a Physical Quantity in cosmos .The Growth Golden ratio Pattern is analytically shown
and also the How Electromagnetic issues and works everywhere in nature from the microcosm to the macrocosm

**Category:** Mathematical Physics

[870] **viXra:1906.0382 [pdf]**
*submitted on 2019-06-21 15:30:26*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 234 Pages.

In this research paper we have obtained some interesting mathematical connections between the Mock Theta functions of the Ramanujan’s last letter and some expressions concerning the mass of some particles, the black hole entropy and the hypothetical mass of Dark Matter particles

**Category:** Mathematical Physics

[869] **viXra:1906.0253 [pdf]**
*submitted on 2019-06-15 02:09:19*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 220 Pages.

In this research paper we have obtained some interesting mathematical connections between the Mock Theta functions of the Ramanujan’s last letter and some sectors of Particle Physics, Cosmology and some expressions concerning the Monster Group, the Black Hole entropies and the hypothetical mass of Dark Matter particles

**Category:** Mathematical Physics

[868] **viXra:1906.0239 [pdf]**
*submitted on 2019-06-13 13:20:47*

**Authors:** Alan Michael Gómez Calderón

**Comments:** 2 Pages.

From the golden angle to the Pell constant, a simple, elegant and concise mathematical expression of the inverse fine-structure constant is given.

**Category:** Mathematical Physics

[867] **viXra:1906.0214 [pdf]**
*submitted on 2019-06-12 12:48:22*

**Authors:** Y. J. F. Kpomahou, L. H. Koudahoun, K. K. D. Adjaï, J. Akande, M. D. Monsia

**Comments:** 16 pages

The present research contribution is devoted to solving the integrability problem of Liénard type differential equations. It is shown that such a problem may be solved by nonlocal transformation for some classes of equations. By doing so, it
is observed that the integrability of a class of restricted Duffing type equations with integral power or fractional power nonlinearity may be secured by that of a general class of quadratic Liénard type differential equation, and vice versa. Such a restricted Duffing type equation is also shown to be closely related to a quadratic Liénard type equation for which exact and explicit general solution may be computed. In this context it has been shown that exact and general
periodic solutions may be computed for these two classes of restricted Duffing equations and quadratic Liénard type equations. The comparison of obtained solutions with some well-known results is carried out in some cases.

**Category:** Mathematical Physics

[866] **viXra:1906.0213 [pdf]**
*submitted on 2019-06-12 12:54:39*

**Authors:** Thomas J. Buckholtz

**Comments:** 33 pages

We suggest united models and specific predictions regarding elementary particles, dark matter, aspects of galaxy evolution, dark energy, and aspects of the cosmology timeline. Results include specific predictions for new elementary particles and specific descriptions of dark matter and dark energy. Some of our modeling matches known elementary particles and extrapolates to predict other elementary particles, including bases for dark matter. Some modeling explains observed ratios of effects of dark matter to effects of ordinary matter. Some models suggest aspects of galaxy formation and evolution. Some modeling correlates with eras of increases or decreases in the observed rate of expansion of the universe. Our modeling framework features mathematics for isotropic quantum harmonic oscillators and provides a framework for creating physics theories. Some aspects of our approach emphasize existence of elementary particles and de-emphasize motion. Some of our models complement traditional quantum field theory and, for example, traditional calculations of anomalous magnetic dipole moments.

**Category:** Mathematical Physics

[865] **viXra:1906.0212 [pdf]**
*submitted on 2019-06-12 13:00:31*

**Authors:** L. H. Koudahoun, Y. J. F. Kpomahou, J. Akande, K. K. D. Adjaï, M. D. Monsia

**Comments:** 6 pages

The integrability of a general class of Liénard type equations is investigated through equation transformation theory. In this way it is shown that such a class of Liénard equations can generate a generalization of some interesting truly nonlinear oscillator equations like the cube and fifth root differential equations. It has then become possible to compute the exact and general solution to the generalized truly nonlinear oscillator equation. Under an appropriate choice of initial conditions, exact and explicit solution has been obtained in terms of Jacobi elliptic functions.

**Category:** Mathematical Physics

[864] **viXra:1906.0093 [pdf]**
*submitted on 2019-06-08 05:09:59*

**Authors:** Dan Visser

**Comments:** 6 Pages.

I summarize my new theory for the universe in a nutshell. We are a variable hologram in a Rotating Torus Hologram Universe (RTHU). The moment I began to think the Big Bang did not exist, the universe has changed already. That was in 2004, 5 years before I started to write my articles in 2009. The main issue since then is: There is no darkness. Events happen everywhere, but rather in the RTHU than in the Postmodern Big Bang Universe (PBBU). According to all of my theoretical results a lot of events, however, remain temporarily invisible due to being shifted in the variable hologram-universe. The main cause thereto is, that a dark matter force, marked as duo-bits, is the engine of the hologram-rotation, while being located below the Planck-boundary. Hence this deeper area must be a part of a universe, the RTHU. A new parameter Tdan is the hologram-dynamic parameter and in size equivalent to the RTHU as well as in size equivalent as a building-stone of the RTHU. In that sense an under laying information is variable-divided but continuously in order to remain all the information that shapes the RTHU. Furthermore I refer to practical evidence-issues. Study my recent articles.

**Category:** Mathematical Physics

[863] **viXra:1906.0054 [pdf]**
*submitted on 2019-06-04 09:15:19*

**Authors:** Antoine Balan

**Comments:** 1 page, written in english

Here is defined the fermionic quantum plane and the fermionic quantum group of transformations of it.

**Category:** Mathematical Physics

[862] **viXra:1906.0038 [pdf]**
*submitted on 2019-06-03 06:12:39*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 172 Pages.

In this research paper, we have described and analyzed the possible mathematical connections between various Ramanujan’s equations and some sectors of Particle Physics (rest mass of meson f0(1710), mass of proton, electric charge of positron, mass of Higgs boson), String Theory and Physics of Black Holes (entropy)

**Category:** Mathematical Physics

[861] **viXra:1905.0616 [pdf]**
*submitted on 2019-05-31 05:50:12*

**Authors:** Vu B Ho

**Comments:** 9 Pages.

In this work we discuss a geometric and topological quantisation of mass by extending our work on the principle of least action in which the quantisation of both the angular momentum of a Bohr hydrogen atom and the charge of an elementary particle can be shown to be quantised from the continuous deformation of a differentiable manifold. Similar to the case of the quantisation of charge using the two-dimensional Ricci scalar curvature, we show that in the case of three-dimensional differentiable manifolds we can apply the Yamabe problem, which states that any Riemannian metric on a compact smooth manifold of dimension greater or equal to three is conformal to a metric with constant scalar curvature, to show that mass can also be quantised by the deformation of differentiable manifolds. The Yamabe problem is a generalisation of the uniformisation theorem for two-dimensional differentiable manifolds. We also discuss whether quantum particles can be expressed as direct sums of quantum masses when they possess mathematical structures of differentiable manifolds, with the quantum masses are considered as prime manifolds. This may be regarded as a physical manifestation of an established mathematical proposition in differential geometry and topology that states that any compact, connected, and orientable differentiable manifold M can be decomposed into prime manifolds and the decomposition is unique up to an absorption or emission of 3-spheres S^3. This process of decomposition of differentiable manifolds into prime manifolds and the radiation of 3-spheres is similar to the radiation of the quanta of physical fields from a quantum system, such as the radiation of photons from a hydrogen atom. Even though our work is highly speculative and suggestive, we hope that it may pay way for further rigorous mathematical investigations into whether mass is also quantised like charge and other fundamental entities in physics.

**Category:** Mathematical Physics

[860] **viXra:1905.0587 [pdf]**
*submitted on 2019-05-29 07:46:52*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 186 Pages.

In the present research thesis, we have obtained various and interesting mathematical connections with the Ramanujan’s numbers 1728, 1729, 728, 729 and some sectors of Particle Physics and Supersymmetry

**Category:** Mathematical Physics

[859] **viXra:1905.0268 [pdf]**
*submitted on 2019-05-17 17:43:20*

**Authors:** Abdelmajid Ben Hadj Salem

**Comments:** 22 Pages. In French.

In this note, we study Einstein equations (EE) of general relativity considering a manifold M with a diagonal metric g_{ij}. We calculate the expression of the components of Ricci and Riemann tensors and the value of the scalar curvature R. Then we give the expression of the (EE) :
-a- for the case where g_{ii}=g_i=g_i(x_i);
-b- for the case where g_1=g_1(x_1=t) and g_i=g_i(t,x_i) for i=2,3,4$;
-c- for the case (b) with x_4=z_0=constant.

**Category:** Mathematical Physics

[858] **viXra:1905.0142 [pdf]**
*submitted on 2019-05-09 19:53:08*

**Authors:** Andrei Lucian Dragoi

**Comments:** 7 Pages.

This paper proposes a new definition of life forms in relation to a new type of “hybrid” causality, gravity and the possible existence of hierarchical parallel universes.
Keywords: life forms, gravity, hierarchical parallel universes;

**Category:** Mathematical Physics

[692] **viXra:1909.0420 [pdf]**
*replaced on 2019-09-25 16:23:58*

**Authors:** Ervin Goldfain

**Comments:** 5 Pages.

This short pedagogical report is based on a couple of premises. First, it was recently shown that the long run of non-equilibrium Renormalization Group flows is prone to end up on strange attractors. As a result, multifractals are likely to provide the proper framework for the characterization of effective field theories. Secondly, it is known that multifractal analysis uses the Kolmogorov entropy (K-entropy) to quantify the degree of disorder in chaotic systems and turbulent flows. Building on these premises, the report details the remarkable connection between K-entropy, multifractal sets and spacetime dimensions. It also supports the proposal that near and above the Fermi scale, spacetime is defined by continuous and arbitrarily small deviations from four-dimensions.

**Category:** Mathematical Physics

[691] **viXra:1909.0420 [pdf]**
*replaced on 2019-09-24 13:00:57*

**Authors:** Ervin Goldfain

**Comments:** 5 Pages.

This short pedagogical report is based on a couple of premises. First, it was recently shown that the long run of non-equilibrium Renormalization Group flows is prone to end up on strange attractors. As a result, multifractals are likely to provide the proper framework for the characterization of effective field theories. Secondly, it is known that multifractal analysis uses the Kolmogorov entropy (K-entropy) to quantify the degree of disorder in chaotic systems and turbulent flows. Building on these premises, the report details the remarkable connection between K-entropy, multifractal sets and spacetime dimensions. It also supports the proposal that near and above the Fermi scale, spacetime is defined by continuous and arbitrarily small deviations from four-dimensions.

**Category:** Mathematical Physics

[690] **viXra:1909.0420 [pdf]**
*replaced on 2019-09-20 19:23:55*

**Authors:** Ervin Goldfain

**Comments:** 5 Pages.

**Category:** Mathematical Physics

[689] **viXra:1908.0286 [pdf]**
*replaced on 2019-08-15 17:26:00*

**Authors:** Rafik Zeraoulia

**Comments:** 09 Pages. no comment

In this note we present a new approach to proof the Riemann hypothesis one of the most important open problem in pure mathematics using a new operator derived from unitary operator groups acts on Riemann-Siegal function and it uses partition function for Hamiltonian operator , The interest idea is to compute the compositional inverse of Riemann zeta function at $s=-\frac12$ such as we show that:$\zeta^{-1}(-\frac12)
=\zeta(\frac12+i \beta)=0$
for some $\beta >0 $

**Category:** Mathematical Physics

[688] **viXra:1907.0398 [pdf]**
*replaced on 2019-08-09 12:34:51*

**Authors:** Dmitri Martila

**Comments:** 12 Pages.

Slow precession of the Earth rotation axis, and the Moon-Earth orbital resonance were accompanied during centuries by Newton's and Laplace's explanations. However, in the present paper, the author considers the possibility of additional factor: the small violation of the global energy-momentum conservation. Thus, the energy-momentum concept being not conserved, cannot be regarded as total (global) energy-momentum of system.
The recently experimentally verified Lense-Thirring Effect and the Mercury's perihelion anomalous shift cannot be found in Newton Physics, and the latter demands the global energy-momentum conservation. Thus, the shift violates global energy-momentum conservation. Why? Because the energy-momentum is defined locally, not globally.

**Category:** Mathematical Physics

[687] **viXra:1906.0512 [pdf]**
*replaced on 2019-07-22 14:14:40*

**Authors:** Alexandre Harvey-Tremblay

**Comments:** 42 Pages.

Here we present a mathematical model formalizing the practice of science in nature. Under the premise that science is the best methodology to understand the World, then presumably a formalization of such is its best mathematical framework. Axiomatic science is a significant improvement over the informal practice of science and it has numerous desirable properties. Axiomatic science is a model of science and of physics, and as such, it contains a 'science' part and a 'physics' part. Axiomatic science is able to derive the 'physics' part, including the laws of physics, using the 'science' part as the starting point. Axiomatic science thus explains the origins of the laws of physics as a theorem of the formal practice of science. Finally, axiomatic science is 'clarification tool par excellence' for the foundation of physics.

**Category:** Mathematical Physics

[686] **viXra:1906.0239 [pdf]**
*replaced on 2019-06-16 10:24:38*

**Authors:** Alan Michael Gómez Calderón

**Comments:** 2 Pages.

From the golden angle and the Pell constant, a simple, elegant and concise mathematical expression of the inverse fine-structure constant is given.

**Category:** Mathematical Physics

[685] **viXra:1906.0214 [pdf]**
*replaced on 2019-07-08 10:14:43*

**Authors:** Y. J. F. Kpomahou, L. H. Koudahoun, K. K. D. Adjaï, J. Akande, M. D. Monsia

**Comments:** 15 pages

The present research contribution is devoted to solving the integrability problem of Liénard type differential equations. It is shown that such a problem may be solved by nonlocal transformation for some classes of equations. By doing so, it
is observed that the integrability of a class of restricted Duffing type equations with integral power or fractional power nonlinearity may be secured by that of a general class of quadratic Liénard type differential equation, and vice versa. Such a restricted Duffing type equation is also shown to be closely related to a quadratic Li´enard type equation for which exact and explicit general solution may be computed. In this context it has been shown that exact and general
periodic solutions may be computed for these two classes of restricted Duffing equations and quadratic Liénard type equations. The comparison of obtained solutions with some well-known results is carried out in some cases.

**Category:** Mathematical Physics

[684] **viXra:1906.0212 [pdf]**
*replaced on 2019-07-08 10:22:02*

**Authors:** L. H. Koudahoun, Y. J. F. Kpomahou, J. Akande, K. K. D. Adjaï, M. D. Monsia

**Comments:** 5 pages

The integrability of a general class of Liénard type equations is investigated through equation transformation theory. In this way it is shown that such a class of Liénard equations can generate a generalization of some interesting truly nonlinear oscillator equations like the cube and fifth root differential equations. It has then become possible to compute the exact and general solution to the generalized truly nonlinear oscillator equation. Under an appropriate choice
of initial conditions, exact and explicit solution has been obtained in terms of Jacobi elliptic functions.

**Category:** Mathematical Physics