[11] **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

[10] **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

[9] **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

[8] **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

[7] **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

[6] **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

[5] **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

[4] **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

[3] **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

[2] **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

[1] **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