**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(5)

2019 - 1901(10) - 1902(9) - 1903(6) - 1904(15) - 1905(5) - 1906(10) - 1907(3)

Any replacements are listed farther down

[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

[857] **viXra:1905.0012 [pdf]**
*submitted on 2019-05-01 14:07:09*

**Authors:** Dang Dang

**Comments:** 28 Pages.

The idea of energy, matter, and motion has perplexed many philosophers and
physicists from antiquity to modern physics, from Plato to Einstein. New and
developing physical theories raise different interpretations of energy and matter but
no complete theory of everything exists at present. However, there is a law we can
almost take for granted: the law of conservation of energy, which states that
energy cannot be created nor destroyed although it can be transformed from one
form to another. After establishing the foundational theory and history of
conservation of energy, this literature review aims to provide an overview of the
concept of mass and energy conservation in two of the most fundamental physical
theories - quantum mechanics and general relativity. Consequences and challenges
of mass-energy conservation and equivalence - dark energy - is studied in an
introductory manner

**Category:** Mathematical Physics

[856] **viXra:1904.0552 [pdf]**
*submitted on 2019-04-28 12:51:07*

**Authors:** Dan Visser

**Comments:** 7 Pages.

Black holes are not what it looks like due to postmodern Big Bang interpretations. In my new cosmology black holes are part of a rotating hologram-universe. The black hole mass-density thereto is replaced by my new parameter Tdan, which makes mass-density of a black hole independent of the light speed in vacuum according to general relativity. General relativity has to be extended by refining the Planck-units in a domain below the Planck-boundary. Tdan is that refining-mechanism.

**Category:** Mathematical Physics

[855] **viXra:1904.0533 [pdf]**
*submitted on 2019-04-27 12:56:38*

**Authors:** Paul Werbos

**Comments:** 6 Pages.

Ordinary Fock space, defined as concatenated combination of three-dimensional spaces is the main workhorse of the canonical version of quantum field theory. It is also fundamental to the modern version of quantum field theory without observers, as in the theory of Everett, Wheeler and Deutsch, which led to the theory of the universal quantum computer. It also has many practical uses, from quantum optics to the closure of turbulence and the derivation of the emergent behavior of space-time dynamical systems. But many of us believe that time and space are interchangeable to some degree, and that methods based on 4D Fock space are needed. This letter describes two simple mathematical tools to help make that possible. It discusses how computing the emergent statistics of such systems is a proper generalization of value function estimation in machine learning, which may therefore carry the same complexities with it.

**Category:** Mathematical Physics

[854] **viXra:1904.0505 [pdf]**
*submitted on 2019-04-25 07:57:08*

**Authors:** Louiz Akram

**Comments:** 3 Pages.

This is my other work about the riemann Sum as a définition to the integral and the result is really important for many fields.

**Category:** Mathematical Physics

[853] **viXra:1904.0503 [pdf]**
*submitted on 2019-04-25 08:26:20*

**Authors:** Louiz Akram

**Comments:** 2 Pages.

Mémoire en physiques is a work made since January 2016 by Louiz Akram (an independant researcher).

**Category:** Mathematical Physics

[852] **viXra:1904.0477 [pdf]**
*submitted on 2019-04-24 08:37:09*

**Authors:** Louiz Akram

**Comments:** 30 Pages.

The derivation in the galilean was made in my work differently than the famous steps when dealing with relative rotations.
My work gives the results with an accurate uncertainty and it is the only correct derivation for physics' use, hence, It is the solution to avoid the mistakes made when dealing with the Newtonian Mechanics and thus to avoid the relativity of Time.

**Category:** Mathematical Physics

[851] **viXra:1904.0464 [pdf]**
*submitted on 2019-04-24 15:42:36*

**Authors:** Louiz Akram

**Comments:** 2 Pages.

This a disproof to Einstein's special relativity and to Lorentz' Transformation .

**Category:** Mathematical Physics

[850] **viXra:1904.0455 [pdf]**
*submitted on 2019-04-23 08:24:27*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 179 Pages.

In this research thesis we have described some new mathematical connections between Maxwell’s Equations, some sectors of the String Theory and Particle Physics, and some sectors of Number Theory, precisely various Ramanujan’s expressions and equations.

**Category:** Mathematical Physics

[849] **viXra:1904.0448 [pdf]**
*submitted on 2019-04-23 13:43:14*

**Authors:** Divyansh Mansukhani

**Comments:** 2 Pages.

While the ﬂatness problem, Ω = 1, has been one weighty stand in the modern cosmology to showcase incompetency of BBT, the theory of inﬂation - ﬁrst pioneered by Alan Guth, CTP, MIT (current) - serves to accommodate it in the observed universe. Here, (a) FP is used as a skeleton to attempt for an altogether novel approach involving rudimentary perturbation theory to deﬁne what one may call as ‘initial chaos’, and (b) the corresponding approach is postulated to be lightly rigorous than the other frameworks which propose in the same domain.

**Category:** Mathematical Physics

[848] **viXra:1904.0340 [pdf]**
*submitted on 2019-04-17 14:26:12*

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

**Comments:** 3 Pages.

Here it is intended to raise some questions surrounding the whole notion of completeness in physics. This does, of course, have bearing on issues raised by the well-known paper by Einstein, Podolsky and Rosen.

**Category:** Mathematical Physics

[847] **viXra:1904.0268 [pdf]**
*submitted on 2019-04-14 10:05:16*

**Authors:** Giuliano Bettini

**Comments:** 27 Pages. In Italian

The description of Point Groups is made in crystallography, among other, with "character tables". Following my classification work entitled "5 bit 32 crystal classes" and some other curious properties I've noticed, I wanted to try to find a representation with Spherical Harmonics namely: a set of 32 Spherical Harmonics each one representing a Point Group.
So the purpose of this work, in a nutshell, is to combine each of the 32 crystal classes with the corresponding Spherical Harmonic that has the same symmetry properties, in a certain sense therefore a "group description".
These are among all the Spherical Harmonics the only 32 with which it is possible to create periodic structures with no gaps nor overlapping. A sort of Spherical Harmonics Restriction Theorem. Other possibly interesting connections with the s p d f sub-shells, and with spin, are to be investigated.

**Category:** Mathematical Physics

[846] **viXra:1904.0206 [pdf]**
*submitted on 2019-04-10 06:49:14*

**Authors:** Dan Visser

**Comments:** 13 Pages.

New dark energy is related to a new cosmological model (RTHU). This paper refers to the origin of this new dark energy. As a follow-up this paper considers why CERN (LHC), and other colliders, are relics of the past and why the RTHU-scanner will be the future. The RTHU stands for a rotating hologram universe. The details are anchored in my series of article hosted in the vixra-archive, category mathematical physics. Reach it on www.vixra.org/author/dan_visser. It represents my horizon, my art and my basic-science for the work-out of the new dark energy in the RTHU.

**Category:** Mathematical Physics

[845] **viXra:1904.0183 [pdf]**
*submitted on 2019-04-09 11:35:38*

**Authors:** Y.F. J. Kpomahou, M. D. Monsia

**Comments:** 4 pages

A simple condition for integrability of Liénard equations is established to compute their general
solution explicitly or by quadrature via a nonlocal transformation.

**Category:** Mathematical Physics

[844] **viXra:1904.0114 [pdf]**
*submitted on 2019-04-05 09:50:38*

**Authors:** Markos Georgallides

**Comments:** 73 Pages.

In Mechanics Work = Energy = motion is [Force] x[Displacement] and is conserved .
In order Motion is conserved as Displacement in all directions , then Displacement must be kept , Quantized , in a Finite Space differently is annihilated .The only possible motion in a Finite -Space is the Periodic-excitation [→ ←] and Revolving motion [(+)↻↺(-)] which is proved define the quality of Particles .
Periodic excitation between Space (+) and Anti-Space (-) , may exist only as Collision
of Opposite , and this because of the equal and opposite Point-charges that are infinitely close together which create Coulomb Electric dipole-moment in an Electric-field . Motion is captured in a [Box-P] called Stationary-Material-point containing these three elements [ (+) ,[↔], (-)] which are , Space , Energy , Anti-space . The Spin of this Dipole is Stationary and is proved to be the Gravity g .
Revolving motion may exist between Space (+) and Anti-Space (-) so the Revolving of Two-Points A(+) and B(-) consist the Material-Point in Segment r = |AB| , and carries the Principal stress , σ , between , A , B , which stress σ as Centripetal acceleration is the Centripetal-force and the minimum Energy becoming from the in-storage [AB] acceleration and is proved to be equal to the Gravity-wave , g . The continually produced Work in this [Box-R] is stored in it as the Golden-ratio-frequency-motion , not eternally but Partially , and the rest superfluous motion is launched out the Box as an Propagating Electromagnetic-Wave , which Out-Wave carries the [Box–R] , and it is called the Photon .
Local Spin of [Box-P] is oriented to that of [Box-R] , by a Local-uniform Pressure equal to , g * [Force/Area] = G , which is Newton-Universal-Gravitational-constant G force , such for Macrocosm as for Microcosm , and for both cases Obeying Newton`s Laws of motion . It was Proved that Force G is the Pressure on Gravity g , the First-kick-Start , to Enter Planck-cave and formulate in orbit of Planck`s cave , the lightest and the less-mass Particle of this universe which is the Hydrogen-cave . In the Undamped Planck`s – Conservative -System , Total-Energy of , -13,6 eV , of Hydrogen , corresponds to the Natural-frequency of the Primary-Particle with the less Negative-charge-frequency, and this is The Electron , e , which mass and frequency follows min.- g . In the Extreme -Three-Body-Problem case ,where any two massive bodies infinitely close together consist a Slit , The-Slit-Focus , is then created a New Structure for Atom as in article [77] which Properties and Configuration anomalies dependent on , e , p , n , numbers.
Since Force G is a Uniform-Pointy–Force , therefore needs a Conductor , a Layer , a kind of mass , to be spread and act on it as Stress = Surface-force , which is the Layer or the Conductor of Spin S , or the Stress g , and this because of Stress-Layer, g , where all the Energy-Structures present mass . Gravity acceleration , g , produced from the in Material-points acceleration is equal to the pressure , σ , i.e. the Conductor to all Waves as , Force G - ON-Layer - A , [A = m x g] , = Gravity .

**Category:** Mathematical Physics

[843] **viXra:1904.0073 [pdf]**
*submitted on 2019-04-03 08:09:11*

**Authors:** Valeriy V. Dvoeglazov

**Comments:** 4 Pages. Prog. Phys. 15 (2019) 48-51

Some ambiguities have recently been found in the definition of the partial derivative (in
the case of presence of both explicit and implicit dependencies of the function subjected
to differentiation). We investigate the possible influence of this subject on quantum
mechanics and the classical/quantum field theory. Surprisingly, some commutators of
operators of space-time 4-coordinates and those of 4-momenta are not equal to zero.
We postulate the non-commutativity of 4-momenta and we derive mass splitting in the
Dirac equation. Moreover, two iterated limits may not commute each other, in general.
Thus, we present an example when the massless limit of the function of E, p, m does
not exist in some calculations within quantum field theory

**Category:** Mathematical Physics

[842] **viXra:1903.0429 [pdf]**
*submitted on 2019-03-25 04:20:29*

**Authors:** Vu B Ho

**Comments:** 9 Pages.

In this work we will discuss the possibility that if a quantum particle possesses a fluid state, as shown in our work on the fluid state of Dirac quantum particles, then the motion of the physical particle in an ambient space may be directly related to its fluid state and therefore it can be explained in terms of the wave motion of physical objects that move in a substrate space with the mechanism similar to that of peristaltic locomotion. In particular, we will also discuss the possibility that the so-called inertial mass of a particle in classical physics may be identified as a form of gripping connection between the particle and the substrate, which is the ambient space itself, that is needed for a particle to move in space. This is similar to a tight grip that is needed for a physical object to move on a surface.

**Category:** Mathematical Physics

[841] **viXra:1903.0419 [pdf]**
*submitted on 2019-03-23 11:42:35*

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

**Comments:** 4 pages

This paper shows for the first time that exact and general solution for the quintic Duffing oscillator equation may be computed in a straightforward manner within the framework of the generalized Sundman transformation theory introduced recently by authors of this work. A major advantage of the applied method is that it intimately relates such an oscillator equation to the quadratic anharmonic oscillator equation with well-known exact solutions.

**Category:** Mathematical Physics

[840] **viXra:1903.0385 [pdf]**
*submitted on 2019-03-22 05:56:29*

**Authors:** Manjunath.R

**Comments:** 462 Pages.

We Humans, a curious beings developed from the Darwin’s principle of natural selection, are accustomed into an inquisition. The question is not ‘do we know everything from the triumph of the Higgs boson to the underlying discomfort of ultimate question of life, the universe, and everything?’ or it is ‘do we know enough?’ But how the creative principle resides in mathematics? There’s something very mathematical about our gigantic Cosmos, and that the more carefully we look, the more equations are built into nature: our universe isn’t just described by math, but that universe is a “grand book” written in the language of mathematics. We find it very appropriate that mathematics has played a striking role in our growing understanding of the events around us, and of our own existence.

**Category:** Mathematical Physics

[839] **viXra:1903.0255 [pdf]**
*submitted on 2019-03-13 16:31:06*

**Authors:** Olga Lyubavina, Alexander Bolonkin

**Comments:** 9 Pages.

Alexander Bolonkin in his works [1-7] proposed methods of electronic immortality of modern people. He predicted the gradual replacement of biological humanity E-beings, considered their advantages and disadvantages (see List of references in given articles).
The author considers methods and modern possibilities of resurrection of long-dead outstanding personalities. It also considers the principles and organization of the new E-society, its goals and conditions of existence.

**Category:** Mathematical Physics

[838] **viXra:1903.0066 [pdf]**
*submitted on 2019-03-04 19:51:11*

**Authors:** Robert G. Wallace

**Comments:** 29 Pages.

A C-loop algebra is found to have features that suggest it could provide an underlying basis for the standard model of fundamental particles.

**Category:** Mathematical Physics

[837] **viXra:1903.0022 [pdf]**
*submitted on 2019-03-01 10:37:45*

**Authors:** Elémawussi Apédo Doutètien, Akim Boukola Yessoufou, Jean Akande, Marc Delphin Monsia

**Comments:** 9pages

A fairly and simple exact solution of a well-known singular quadratic Liénard type equation is developed in this paper. The solution is compared with those obtained by Sundman and Lie Symmetry analysis. It is found that the result are in nice agreement.

**Category:** Mathematical Physics

[836] **viXra:1902.0475 [pdf]**
*submitted on 2019-02-27 12:50:06*

**Authors:** Dan Visser

**Comments:** 8 Pages.

The universe never started with a Big Bang. In five original drawings is shown how an higher order universe, called the RTHU, an abbreviation of Rotating Torus Hologram Universe, generates a Big Bang universe as a hologram. This hologram seemingly fools us with an expanding universe increasingly faster. Remarkably the hologram is physically accepted as real reality, however, instead of a Big Bang generating a Big Bang-universe, the RTHU generates a lot of Big Bang holograms at the same time and shifted relative to each other. That is a different definition of parallel. It means these holograms enable transportation from one to the other. This is the future way for travelling without making use of relativistic space-time. In new technology we leave space-time, travel through the RTHU and calculate where to enter space-time again.

**Category:** Mathematical Physics

[835] **viXra:1902.0398 [pdf]**
*submitted on 2019-02-23 11:53:59*

**Authors:** Jean-Luc Paillet, Andrew Meulenberg

**Comments:** Pages. to be published in JCMNS 2019

We address a number of questions relating to the progress of our study on the relativistic-electron deep orbits (EDOs): - How to combine different EM potentials having two possible versions (attractive and repulsive), while rejecting unrealistic energies? - What about the angular momentum of the deep electrons? How is the Heisenberg Uncertainty Relation satisfied in these EDOs? - From where is extracted the high kinetic energy (of order 100 MeV) of the deep-orbit electrons? - What is the behavior of the effective potential Veff as a function of distance to the nucleus? - What is the order of magnitude of the radiative corrections for the EDO’s? - What is the
relation between EDO solutions of the Dirac equation and the high energy resonances (with high binding energies) corresponding to a semi-classical local minimum of energy?

**Category:** Mathematical Physics

[834] **viXra:1902.0345 [pdf]**
*submitted on 2019-02-20 10:08:07*

**Authors:** Makoto Itoh

**Comments:** 115 Pages.

In this paper, we show that the dynamics of a wide variety of nonlinear systems such as engineering, physical, chemical, biological, and ecological systems, can be simulated or modeled by the dynamics of memristor circuits.
It has the advantage that we can apply nonlinear circuit theory to analyze the dynamics of memristor circuits.
Applying an external source to these memristor circuits, they exhibit complex behavior, such as chaos and non-periodic oscillation.
If the memristor circuits have an integral invariant, they can exhibit quasi-periodic or non-periodic behavior by the sinusoidal forcing.
Their behavior greatly depends on the initial conditions, the parameters, and the maximum step size of the numerical integration.
Furthermore, an overflow is likely to occur due to the numerical instability in long-time simulations.
In order to generate a non-periodic oscillation, we have to choose the initial conditions, the parameters, and the maximum step size, carefully.
We also show that we can reconstruct chaotic attractors by using the terminal voltage and current of the memristor.
Furthermore, in many memristor circuits, the active memristor switches between passive and active modes of operation, depending on its terminal voltage.
We can measure its complexity order by defining the binary coding for the operation modes.
By using this coding, we show that in the forced memristor Toda lattice equations, the memristor's operation modes exhibit the higher complexity.
Furthermore, in the memristor Chua circuit, the memristor has the special operation modes.

**Category:** Mathematical Physics

[833] **viXra:1902.0334 [pdf]**
*submitted on 2019-02-21 02:18:14*

**Authors:** Vu B Ho

**Comments:** 9 Pages.

In this work we discuss possible relationships between physical fields and substructures of the spatiotemporal manifold. We show that physical fields are possibly formed according to designed patterns from the substructures of spacetime in a process may be termed as spacetime transcription. We will formulate and illustrate how spacetime transcriptions can be formulated for the case of the electromagnetic and Dirac field. Even though the formulation in this work is rather suggestive, and a rigorous representation would require a comprehensive development in terms of geometrical and topological dynamics in differential geometry and topology, the work initiates a new approach to establishing intimate relationships between physical fields and spacetime structures.

**Category:** Mathematical Physics

[832] **viXra:1902.0244 [pdf]**
*submitted on 2019-02-13 15:54:17*

**Authors:** Dan Visser

**Comments:** 9 Pages.

It is possible to do it otherwise: I dared to transpose the dark mass-formula of Professor Erik Verlinde (UvA-NL) into my new universe-model, the RTHU, which is an abbreviation of Rotating Torus Hologram Universe. The RTHU generates the Big Bang Universe (BBU), or BBH in dutch, as a time-spatial hologram. In this setting the BBU is not fundamental, but originated from the RTHU. The RTHU is so to say more fundamental than the BBU and it that sense a ‘higher order universe’. All there is conservatively considered in the BBU is ruled by visible mass, inclusive the belonging coupled forces, and added with dark mass-dynamics and dark energy. However, in this article I show the transposition can lead to an unexpected result. The RTHU leaves a copy of the visible BBU-hologram behind at the open-torus-surface of the RTHU itself, as well as a copy within the light-horizon of black-holes. In this sense black-holes are to be transposed into the RTHU too, as I did. Moreover I show the RTHU needs dark energy for its rotation in order to drive the rotational BBU-hologram. Just as black-holes need dark energy to rotate in the RTHU. Conservatively black-holes are expected to exist in the BBU, but fundamentally considered black-holes are non-existential in the BBU and only reality as rotating black-holes in the RTHU. Inherently the Planck-boundary does not exist in the RTHU, as I described in my former article. Apparently, but theoretically, the two hologram-copies serve to secure the history of the Big Bang Hologram, which rotation causes future-changes in the RTHU and in the black-holes. These future changes seem to be verified in a natural way by the RTHU through the two hologram-copies. I don’t understand, why?

**Category:** Mathematical Physics

[831] **viXra:1902.0205 [pdf]**
*submitted on 2019-02-11 18:02:00*

**Authors:** Vatolin Dm.

**Comments:** 7 Pages. Russian

В работе исследуется согласованность обычного релятивистского определения электромагнитной силы с простым механическим движением тел. Формулируются «парадоксы лоренцевой силы». Находится «формула силы», устраняющая парадоксы и приводящая к тем же кинематическим уравнениям для одиночной частицы, что и «старая теория». Находится, что и новая формула не может быть окончательной. Изменение формулы силы сказывается и на определении тензора энергии-импульса электромагнитного поля, и на определении релятивистского импульса тела

**Category:** Mathematical Physics

[830] **viXra:1902.0165 [pdf]**
*submitted on 2019-02-09 11:35:51*

**Authors:** Divyansh Mansukhani

**Comments:** 1 Page.

Characteristic states are shown to necessitate at least one parallel state to fulfil basic normalization. For this, an operator to input arbitrary state is formulated using inner product between dependent states.

**Category:** Mathematical Physics

[829] **viXra:1902.0104 [pdf]**
*submitted on 2019-02-06 08:19:07*

**Authors:** Victor Christianto, Florentin Smarandache

**Comments:** 14 Pages. This paper has been submitted to Prespacetime Journal. Your comments are welcome

The Higgs particle has been detected a few years ago, that is what newspapers tell us. For many physicists, the Standard Model of particle physics has accomplished all the jobs. Or to put it simply: The game is over. Is it true? Then some physicists began to ask: can go beyond the Standard Model? Because the supersymmetric extension of the Standard Model has failed. If you feel that theoretical physics is becoming boring, you are not alone. Fortunately, there is good news: a new generation of physicists are doing table-top experiments in their basements. Can we expect new results later?2 If so, what will the future of physics look like? This article discusses this question, starting with a blunt look at the relationship between mathematics and physical reality, written from the perspectives of a mathematician and a cosmologist.

**Category:** Mathematical Physics

[828] **viXra:1902.0003 [pdf]**
*submitted on 2019-02-01 00:12:19*

**Authors:** Rodney Bartlett

**Comments:** 12 Pages. https://doi.org/10.6084/m9.figshare.7658774.v2

This preprint is a never-print. It can never be printed in a science journal because that approach has often been tried, only to see the submission's ideas repeatedly rejected as too speculative and non-mathematical. Professor John Wheeler used to say the early papers on quantum mechanics were regarded as highly speculative. Nevertheless, editors of the 1920s published them (today's editors would be too timid). Maybe the maths in it doesn't qualify as maths since it isn't complicated (Einstein used to say a theory that can't be explained to a 6-year-old isn't really understood by its author). Or maybe editors believe the only real maths is the squiggly lines of algebra.
The distribution of stellar masses at the birth of stars is called the Initial Mass Function or IMF. Why does the IMF favour the production of low-mass stars? There is a clue in the report that most planetary systems seem to outweigh the protoplanetary disks (PPDs) in which they formed, leaving astronomers to re-evaluate planet-formation theories. (AstroNews 2019) Science must always be free to question everything: even the long- established idea that mass is the cause of gravity (by, according to General Relativity (Einstein 1915), warping and curving space-time). Exploration of the reverse, that gravity forms mass, sounds absurd to modern science. Yet, it has the potential to explain planet formation and the IMF.
This inverse mass-gravity relation uses the well-accepted idea that the universe is described mathematically, being flexible enough to extend that notion and suggest the universe IS maths. It could be produced by binary digits (base-2 maths) and topology, and the gravity that is the warping of space-time could interact with electromagnetism to form the quantum spin of matter particles (½) via vector-tensor-scalar geometry’s photonic spin of 1 being divided by the gravitonic spin of 2. This geometric attempt at understanding gravity may be seen as related to 4 earlier theories of gravity - Mordehai Milgrom’s 1983 Modified Newtonian Dynamics (MOND), its relativistic generalization known as Jacob Bekenstein’s 2004 Tensor–vector–scalar gravity (TeVeS), the TeVeS extension Bi-scalar tensor vector gravity (BSTV) proposed in 2005 by R.H.Sanders, and John Moffat’s 2006 Scalar–tensor–vector gravity (STVG).

**Category:** Mathematical Physics

[827] **viXra:1901.0431 [pdf]**
*submitted on 2019-01-28 22:50:29*

**Authors:** Carlos Castro

**Comments:** 3 Pages.

Given that the two-parameter $ p, q$ quantum-calculus deformations of the integers $ [ n ]_{ p, q} = (p^n - q^n)/ ( p - q) = F_n $ coincide
precisely with the Fibonacci numbers (integers), as a result of Binet's formula when
$ p = \tau = { 1 + \sqrt 5 \over 2}$, $ q = { \tilde \tau} = { 1 - \sqrt 5 \over 2 }$ (Galois-conjugate pairs), we extend this result to
the $generalized$ Binet's formula (corresponding to generalized Fibonacci sequences) studied by Whitford. Consequently,
the Galois-conjugate pairs $ (p, q = \tilde p ) = { 1\over 2} ( 1 \pm \sqrt m ) $, in the very special case when $ m = 4 k + 1$ and square-free,
generalize Binet's formula $ [ n ]_{ p, q} = G_n$ generating integer-values for the generalized Fibonacci numbers $G_n$'s. For these reasons, we expect that the two-parameter $ (p, q = \tilde p)$ quantum calculus should play an important role in the physics of quasicrystals with $4k+1$-fold rotational symmetry.

**Category:** Mathematical Physics

[826] **viXra:1901.0421 [pdf]**
*submitted on 2019-01-28 09:38:50*

**Authors:** Sangwha Yi

**Comments:** 6 Pages. Thank you for reading

In Navier-Stokes equations, we discover the exact solution by Newton potential and
time-function.

**Category:** Mathematical Physics

[825] **viXra:1901.0395 [pdf]**
*submitted on 2019-01-27 03:43:40*

**Authors:** Jan Makopa

**Comments:** Pages.

This present presentation further explores the nature of Norms which i proposed in part one of
this title. The mathematical primacy of the Norm Wave Function forms the foundation stone
for the current work and on this basis we set out to erect a formalism of how real space
manifests from directional singularities (also Norms).

**Category:** Mathematical Physics

[678] **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

[677] **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

[676] **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

[675] **viXra:1904.0533 [pdf]**
*replaced on 2019-04-28 11:29:31*

**Authors:** Paul Werbos

**Comments:** 6 Pages. word screwed up eq 2 in v1. Replaced word equation with image object.

Ordinary Fock space, defined as concatenated combination of three-dimensional spaces is the main workhorse of the canonical version of quantum field theory. It is also fundamental to the modern version of quantum field theory without observers, as in the theory of Everett, Wheeler and Deutsch, which led to the theory of the universal quantum computer. It also has many practical uses, from quantum optics to the closure of turbulence and the derivation of the emergent behavior of space-time dynamical systems. But many of us believe that time and space are interchangeable to some degree, and that methods based on 4D Fock space are needed. This letter describes two simple mathematical tools to help make that possible. It discusses how computing the emergent statistics of such systems is a proper generalization of value function estimation in machine learning, which may therefore carry the same complexities with it.

**Category:** Mathematical Physics

[674] **viXra:1904.0315 [pdf]**
*replaced on 2019-06-22 06:38:03*

**Authors:** D. Chakalov

**Comments:** 18 Pages. Comments welcome.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold. To that end, I offer three proposals relevant to Mathematics and mathematical physics, a new model of spacetime (pp. 10-12), and my opinion of gravitational radiation (pp. 13-15).

**Category:** Mathematical Physics

[673] **viXra:1904.0315 [pdf]**
*replaced on 2019-06-14 06:09:58*

**Authors:** D. Chakalov

**Comments:** 16 Pages. Comments welcome.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold. To that end, I offer three proposals relevant to Mathematics and mathematical physics, a new model of spacetime (pp. 10-12), and my opinion of gravitational radiation (pp. 13-15).

**Category:** Mathematical Physics

[672] **viXra:1904.0315 [pdf]**
*replaced on 2019-06-07 11:07:21*

**Authors:** D. Chakalov

**Comments:** 14 Pages. Comments welcome.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold. To that end, I offer three proposals relevant to Mathematics and mathematical physics, a new model of spacetime (pp. 10-12), and my personal opinion on gravitational radiation (pp. 13-14).

**Category:** Mathematical Physics

[671] **viXra:1904.0315 [pdf]**
*replaced on 2019-06-01 22:25:30*

**Authors:** D. Chakalov

**Comments:** 12 Pages. Final version.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold. To that end, I offer three proposals relevant to Mathematics and mathematical physics, and a new model of spacetime (pp. 10-12).

**Category:** Mathematical Physics

[670] **viXra:1904.0315 [pdf]**
*replaced on 2019-05-30 07:35:34*

**Authors:** D. Chakalov

**Comments:** 11 Pages. Comments welcome.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold. To that end, I offer three proposals relevant to Mathematics and mathematical physics, and a new model of spacetime (pp. 10-11).

**Category:** Mathematical Physics

[669] **viXra:1904.0315 [pdf]**
*replaced on 2019-05-27 09:26:06*

**Authors:** D. Chakalov

**Comments:** 9 Pages. Text expanded and typos corrected.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold. To that end, I suggest three proposals relevant to Mathematics and mathematical physics.

**Category:** Mathematical Physics

[668] **viXra:1904.0315 [pdf]**
*replaced on 2019-05-23 07:38:21*

**Authors:** D. Chakalov

**Comments:** 9 Pages. Comments welcome.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold. To that end, I suggest three proposals relevant to Mathematics and mathematical physics.

**Category:** Mathematical Physics

[667] **viXra:1904.0315 [pdf]**
*replaced on 2019-05-19 17:38:04*

**Authors:** D. Chakalov

**Comments:** 8 Pages. Comments welcome.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold.

**Category:** Mathematical Physics

[666] **viXra:1904.0268 [pdf]**
*replaced on 2019-04-21 10:22:35*

**Authors:** Giuliano Bettini

**Comments:** 27 Pages. In English. Updated.

The description of Point Groups is made in crystallography, among other, with "character tables". Following my classification work entitled "5 bit 32 crystal classes" and some other curious properties I've noticed, I wanted to try to find a representation with Spherical Harmonics namely: a set of 32 Spherical Harmonics each one representing a Point Group.
So the purpose of this work, in a nutshell, is to combine each of the 32 crystal classes with the corresponding Spherical Harmonic that has the same symmetry properties, in a certain sense therefore a "group description".
These are among all the Spherical Harmonics the only 32 with which it is possible to create periodic structures with no gaps nor overlapping. A sort of Spherical Harmonics Restriction Theorem. Other possibly interesting connections with the s p d f sub-shells, and with spin, are to be investigated.

**Category:** Mathematical Physics

[665] **viXra:1904.0268 [pdf]**
*replaced on 2019-04-20 01:43:00*

**Authors:** Giuliano Bettini

**Comments:** 27 Pages. In Italian. This is the update to the Italian version v1.

The description of Point Groups is made in crystallography, among other, with "character tables". Following my classification work entitled "5 bit 32 crystal classes" and some other curious properties I've noticed, I wanted to try to find a representation with Spherical Harmonics namely: a set of 32 Spherical Harmonics each one representing a Point Group.
So the purpose of this work, in a nutshell, is to combine each of the 32 crystal classes with the corresponding Spherical Harmonic that has the same symmetry properties, in a certain sense therefore a "group description".
These are among all the Spherical Harmonics the only 32 with which it is possible to create periodic structures with no gaps nor overlapping. A sort of Spherical Harmonics Restriction Theorem. Other possibly interesting connections with the s p d f sub-shells, and with spin, are to be investigated.

**Category:** Mathematical Physics

[664] **viXra:1904.0218 [pdf]**
*replaced on 2019-04-19 07:37:16*

**Authors:** F.M. Sanchez, V. Kotov, M. Grosmann, D. Weigel, R. Veysseyre, C. Bizouard, N. Flawisky, D. Gayral, L. Gueroult

**Comments:** 27 Pages. To be published in Progress in Physics

To the memory of Sir Michael Atiyah
Abstract. The ancestral concept of Cosmos is rediscovered through the idea of a Tachyonic Grandcosmos Multibasis Computer, inversing the Anthropic Principle and reestablishing the Laplace Determinism. The observed fine tuning between physical dimensionless parameters is interpreted as relations between optimal calculation basis, announcing a dramatic progress in computer software. Three type of mathematical constants are considered: Large, Intermediate and close to unity. The famous Large Number problem is resolved by Eddington's statistical theory and the gravitational Hydrogen Molecule model, leading to the visible Universe horizon radius R ≈ 13.812 Giga ligth-years. The extension of the double cosmic correlation defines a Topological Axis using Euler-Napier constant e as primary basis, confirming String Theory, Cartan-Bott periodicity and the 30 holic dimensions corresponding to the simplest space-time-matter diophantine equation T^2 = L^3 = M^5 = N^30. This dimension n = 30 corresponds to the common time, about 10^58 s, given by two mandatory dimensional analysis, interpreted as the Supercycle period. The visible Universe wavelength 'Topon' 2Għ/Rc3 ≈ 4 × 10^-96 m corresponds to n ≈ 2ee and enters the 1D mono-radial holographic extension of the Bekenstein-Hawking Universe entropy, implying the critical condition, and breaking the Planck wall by a factor 1061, justifying the Hawking trans-planckian frequencies. The monochrome holographic extension leads to a Grandcosmos, larger than the visible Universe by the same factor 10^61. A toponic quantization justifies the Cosmos vastness in a scanned Universe, justifying the entropy factor 1/4. This implies a tachyonic speed in the same ratio by respect to c, justifying the Planck re-normalisation of the vacuum energy, independently checked by the Casimir effect. The couple Universe-Grandcosmos is confirmed by a dramatic geo-dimensional analysis, where Length, Time and Mass ratios are considered as unit vectors in a 3D Super-space. A matter-antimatter 10^104 Hz Oscillatory Bounce unifies standard Single Bang with steady-state cosmology, but suppress Relativity in cosmology at large, reestablishing the Newton Absolute Space realized by the Microwave Cosmic Radiation, while Kotov cycle defines a quasi-absolute clock. This new scanning space-time structure is confirmed by single-electron cosmology, connected with Kotov period, and relying Sternheimer Biological scale factor and Atiyah constant, which appear as privileged computation basis, as well as e, p and a ≈ 137.036, in liaison with the sporadic groups. The Atiyah constant enters dramatic ppb precision relations with particle data. This unifies mathematics, physics, chemistry, biology and philosophy. It is predicted that the future telescopes will find mature galaxies in the very far range, instead of a Dark Space, ruining the standard evolutionary cosmology, ill-founded on an imperfect Cosmological Principle.

**Category:** Mathematical Physics

[663] **viXra:1904.0218 [pdf]**
*replaced on 2019-04-17 12:18:01*

**Authors:** F.M. Sanchez, V. Kotov, M. Grosmann, D. Weigel, R. Veysseyre, C. Bizouard, N. Flawisky, D. Gayral, L. Gueroult

**Comments:** 26 Pages. Accepted by Progress in Ohysics, Avril 2019

To the memory of Sir Michael Atiyah
Abstract. The ancestral concept of Cosmos is rediscovered through the idea of a Tachyonic Grandcosmos Multibasis Computer, inversing the Anthropic Principle and reestablishing the Laplace Determinism. The observed fine tuning between physical dimensionless parameters is interpreted as relations between optimal calculation basis, announcing a dramatic progress in computer software. Three type of mathematical constants are considered: Large, Intermediate and close to unity. The famous Large Number problem is resolved by Eddington's statistical theory and the gravitational Hydrogen Molecule model, leading to the visible Universe horizon radius R ≈ 13.812 Giga ligth-years. The extension of the double cosmic correlation defines a Topological Axis using Euler-Napier constant e as primary basis, confirming String Theory, Cartan-Bott periodicity and the 30 holic dimensions corresponding to the simplest space-time-matter diophantine equation T2 = L3 = M5 = N30. This dimension n = 30 corresponds to the common time, about 10^58 s, given by two mandatory dimensional analysis, interpreted as the Supercycle period. The visible Universe wavelength 'Topon' 2Għ/Rc3 ≈ 4 × 10^-96 m corresponds to n ≈ 2ee and enters the 1D mono-radial holographic extension of the Bekenstein-Hawking Universe entropy, implying the critical condition, and breaking the Planck wall by a factor 10^61, justifying the Hawking trans-planckian frequencies. The monochrome holographic extension leads to a Grandcosmos, larger than the visible Universe by the same factor 10^61. A toponic quantization justifies the Cosmos vastness in a scanned Universe, justifying the entropy factor 1/4. This implies a tachyonic speed in the same ratio by respect to c, justifying the Planck re-normalisation of the vacuum energy, independently checked by the Casimir effect. The couple Universe-Grandcosmos is confirmed by a dramatic geo-dimensional analysis, where Length, Time and Mass ratios are considered as unit vectors in a 3D Super-space. A matter-antimatter 10^104 Hz Oscillatory Bounce unifies standard Single Bang with steady-state cosmology, but suppress Relativity in cosmology at large, reestablishing the Newton Absolute Space realized by the Microwave Cosmic Radiation, while Kotov cycle defines a quasi-absolute clock. This new scanning space-time structure is confirmed by single-electron cosmology, connected with Kotov period, and relying Sternheimer Biological scale factor and Atiyah constant, which appear as privileged computation basis, as well as e, p and a ≈ 137.036, in liaison with the sporadic groups. The Atiyah constant enters dramatic ppb precision relations with particle data. This predicts unification of mathematics, informatics, physics, chemistry, biology and philosophy. The future telescopes will find mature galaxies in the very far range, instead of a Dark Space, ruining the standard evolutionary cosmology, ill-founded on an imperfect Cosmological Principle.

**Category:** Mathematical Physics

[662] **viXra:1903.0066 [pdf]**
*replaced on 2019-05-12 06:53:09*

**Authors:** Robert G. Wallace

**Comments:** 29 Pages.

A C-loop algebra is assembled as the product 0f a Clifford algebra and a Cayley-Dickson algebra. Once the principle of spatial equivalence is invoked, a sub-algebra is identified with features that suggest it could provide an underlying basis for the standard model of fundamental particles.

**Category:** Mathematical Physics

[661] **viXra:1903.0066 [pdf]**
*replaced on 2019-03-05 21:14:17*

**Authors:** Robert G Wallace

**Comments:** 29 Pages.

A C-loop algebra is found to have features that suggest it could provide an underlying basis for the standard model of fundamental particles.

**Category:** Mathematical Physics

[660] **viXra:1902.0398 [pdf]**
*replaced on 2019-03-02 03:26:20*

**Authors:** Jean-Luc Paillet, Andrew Meulenberg

**Comments:** 16 Pages. To be published in JCMNS 29 (2019)

We address a number of questions relating to the progress of our study on the relativistic-electron deep orbits (EDOs): - How to combine different EM potentials having two possible versions (attractive and repulsive), while rejecting unrealistic energies? - What about the angular momentum of the deep electrons? How is the Heisenberg Uncertainty Relation satisfied in these EDOs? - From where is extracted the high kinetic energy (of order 100 MeV) of the deep-orbit electrons? - What is the behavior of the effective potential Veff as a function of distance to the nucleus? - What is the order of magnitude of the radiative corrections for the EDO’s? - What is the relation between EDO solutions of the Dirac equation and the high energy resonances (with high binding energies) corresponding to a semi-classical local minimum of energy?

**Category:** Mathematical Physics

[659] **viXra:1902.0345 [pdf]**
*replaced on 2019-02-24 19:26:10*

**Authors:** Makoto Itoh

**Comments:** 114 Pages.

In this paper, we show that the dynamics of a wide variety of nonlinear systems such as engineering, physical, chemical, biological, and ecological systems, can be simulated or modeled by the dynamics of memristor circuits.
It has the advantage that we can apply nonlinear circuit theory to analyze the dynamics of memristor circuits.
Applying an external source to these memristor circuits, they exhibit complex behavior, such as chaos and non-periodic oscillation.
If the memristor circuits have an integral invariant, they can exhibit quasi-periodic or non-periodic behavior by the sinusoidal forcing.
Their behavior greatly depends on the initial conditions, the parameters, and the maximum step size of the numerical integration.
Furthermore, an overflow is likely to occur due to the numerical instability in long-time simulations.
In order to generate a non-periodic oscillation, we have to choose the initial conditions, the parameters, and the maximum step size, carefully.
We also show that we can reconstruct chaotic attractors by using the terminal voltage and current of the memristor.
Furthermore, in many memristor circuits, the active memristor switches between passive and active modes of operation, depending on its terminal voltage.
We can measure its complexity order by defining the binary coding for the operation modes.
By using this coding, we show that the memristor's operation modes exhibit the higher complexity, in the forced memristor Toda lattice equations and the forced memristor Van der Pol equations.
Furthermore, the memristor has the special operation modes in the memristor Chua circuit.

**Category:** Mathematical Physics

[658] **viXra:1902.0205 [pdf]**
*replaced on 2019-04-12 09:23:43*

**Authors:** Vatolin. Dm

**Comments:** 6 Pages. Russian

The paper investigates the consistency of the usual relativistic definition of electromagnetic force with a simple mechanical movement of bodies. “Paradoxes of Lorentz force” are formulated. The “formula of force” is found, eliminating paradoxes and leading to the same kinematic equations for a single particle as the “old theory”. It is found that the new formula can not be final. The change in the force formula affects both the determination of the energy-momentum tensor of the electromagnetic field and the definition of the relativistic body momentum

**Category:** Mathematical Physics

[657] **viXra:1902.0205 [pdf]**
*replaced on 2019-04-11 07:06:18*

**Authors:** Vatolin Dm.

**Comments:** 6 Pages. Rusian

The paper investigates the consistency of the usual relativistic definition of electromagnetic force with a simple mechanical movement of bodies. “Paradoxes of Lorentz force” are formulated. The “formula of force” is found, eliminating paradoxes and leading to the same kinematic equations for a single particle as the “old theory”. It is found that the new formula can not be final. The change in the force formula affects both the determination of the energy-momentum tensor of the electromagnetic field and the definition of the relativistic body momentum

**Category:** Mathematical Physics

[656] **viXra:1902.0205 [pdf]**
*replaced on 2019-03-11 18:38:14*

**Authors:** Vatolin Dm.

**Comments:** 6 Pages. Russian

The paper investigates the consistency of the usual relativistic definition of electromagnetic force with a simple mechanical movement of bodies. “Paradoxes of Lorentz force” are formulated. The “formula of force” is found, eliminating paradoxes and leading to the same kinematic equations for a single particle as the “old theory”. It is found that the new formula can not be final. The change in the force formula affects both the determination of the energy-momentum tensor of the electromagnetic field and the definition of the relativistic body momentum

**Category:** Mathematical Physics

[655] **viXra:1902.0205 [pdf]**
*replaced on 2019-02-21 20:34:51*

**Authors:** Vatolin Dm.

**Comments:** 7 Pages. Russian

В работе исследуется согласованность обычного релятивистского определения электромагнитной силы с простым механическим движением тел. Формулируются «парадоксы лоренцевой силы». Находится «формула силы», устраняющая парадоксы и приводящая к тем же кинематическим уравнениям для одиночной частицы, что и «старая теория». Находится, что и новая формула не может быть окончательной. Изменение формулы силы сказывается и на определении тензора энергии-импульса электромагнитного поля, и на определении релятивистского импульса тела

**Category:** Mathematical Physics