[11] **viXra:1711.0468 [pdf]**
*submitted on 2017-11-28 12:24:15*

**Authors:** Richard L Amoroso, Peter Rowlands, Louis H Kauffman

**Comments:** 11 Pages. Paper from VIII international symposium honoring mathematical physicist Jean-Pierre Vigier

We make a preliminary exploratory study of higher dimensional (HD) orthogonal forms of the quaternion algebra in order to explore
putative novel Nilpotent/Idempotent/Dirac symmetry properties. Stage-1 transforms the dual quaternion algebra in a manner that
extends the standard anticommutative 3-form, i, j, k into a 5D/6D triplet. Each is a copy of the others and each is self-commutative
and believed to represent spin or different orientations of a 3-cube. The triplet represents a copy of the original that contains no new
information other than rotational perspective and maps back to the original quaternion vertex or to a second point in a line element. In
Stage-2 we attempt to break the inherent quaternionic property of algebraic closure by stereographic projection of the Argand plane
onto rotating Riemann 4-spheres. Finally, we explore the properties of various topological symmetries in order to study
anticommutative - commutative cycles in the periodic rotational motions of the quaternion algebra in additional HD dualities.

**Category:** Mathematical Physics

[10] **viXra:1711.0459 [pdf]**
*submitted on 2017-11-29 03:16:37*

**Authors:** Christopher Goddard

**Comments:** 21 Pages.

I sketch roughly how an Alcubierre drive could work, by examining exotic geometries consisting of soliton solutions to the dynamics of space filling curves. I also briefly consider how remote sensing might work for obstacle avoidance concerning a craft travelling through space via a 'wormhole wave'. Finally I look into how one might adopt remote sensing ideas to build intrasolar wormhole networks, as well as extrasolar jump gates.

**Category:** Mathematical Physics

[9] **viXra:1711.0446 [pdf]**
*replaced on 2017-11-29 23:58:35*

**Authors:** Vu B Ho

**Comments:** 15 Pages.

In this work, we will investigate possible spacetime structures of massless particles by formulating Dirac equation in a six-dimensional spatial-temporal continuum in both pseudo-Euclidean and Euclidean metrics. We show that the state of a massless particle flows as an irrotational and incompressible fluid in steady fluid dynamics in the sense that all spatial and temporal components of the wavefunction of a massless particle can be described by Laplace equation. Furthermore, we also show that the six components of the wavefunction are coupled in pairs to form two-dimensional subspaces and this result may suggest why quantum particles possess an intrinsic spin angular momentum that takes half-integral values.

**Category:** Mathematical Physics

[8] **viXra:1711.0435 [pdf]**
*replaced on 2017-12-10 17:42:53*

**Authors:** Dan Visser

**Comments:** 26 Pages.

This article breaks with the inviolability of the quantum-unit. It ‘crumbles’ (or cuts up, or refines) the quantum-vacuum. That also crumbles the constant vacuum-energy-density, or dark energy. It offers a new definition for dark energy. New dark energy does no longer belong to the Big Bang-universe: New dark energy is part of a rotating-hologram universe. Such a universe has the shape of a Double Torus, which has an inner-torus that rotates while an outer-torus represents the ‘crumble of the vacuum’ with time below the Planck-scale. The ‘vacuum-crumbling’ implies a ‘new ‘building-stone’ for vacuum: Tdan. This is a new (rotating) energy-tensor, which has two states , one for above and one for below the Planck-scale. The ‘beauty’ is the dimension of the tensor remains unchanged in those two states! Hence, the quantum-Planck-unit is transparent for migration. That makes the Big Bang-universe no longer a fundamental universe. The Big Bang-universe is emerged (or induced) by rotation of the hologram-universe. This means the Big Bang-universe will exist in every place of the rotating hologram-universe implying: parallel universes ‘outside’ a Big Bang-universe are a nonissue. Parallel universes exist embedded in the rotating hologram-universe. Thereby the origin of the ‘old Big Bang-universe’ is no longer relevant. A new definition of age of the universe lies in the cycle-duration of one cycle, although rotation goes on eternally. Continuously the origin is recalculated. Seemingly the Big Bang-universe is materialized above the Planck-scale and dé-materializes below the Planck-scale, however, such a perspective is reciprocal facing the transparent frontier. Against all expectations my formulas show that one can migrate from one to the other parallel-universe. Locally that is interpreted as ‘change’, but on larger scales it is called traveling through time without space. Because there is extra time (or refined time in the crumble of vacuum), which affects relativistic time that can make traveling faster than traveling through space with the speed of light. There is no horizon between the physics of the ‘soul’ and the physics of ‘materialization’ including the other way around. At last two physics-problems are solved: firstly a more fundamental cause for the origin of hurricanes wherein the building stone of vacuum is involved and secondly the hierarchy problem, the explanation why there is a large emptiness between the Planck-scale and the scale-existence of the smallest particles.

**Category:** Mathematical Physics

[7] **viXra:1711.0395 [pdf]**
*replaced on 2017-11-29 07:41:26*

**Authors:** Spiros Konstantogiannis

**Comments:** 33 Pages.

Making an intuitive assumption, and using the completeness of the position and momentum eigenstates, along with the postulates of quantum mechanics, we provide a geometric presentation of the position and momentum representations in quantum mechanics, in the hope of offering a perspective complementary to those given in standard textbooks.

**Category:** Mathematical Physics

[6] **viXra:1711.0365 [pdf]**
*replaced on 2017-12-05 14:08:19*

**Authors:** Giuliano Bettini

**Comments:** 24 Pages. In English. Updated. Some minor corrections.

Starting from the 32 crystal classes, we find a complete classification scheme of the same with only 5 bits, and at least in part the meaning of the various bits.
There is no inverse demonstration, ie only 5 bits must generate all 32 crystalline classes in nature.
However, the proposed classification seems to invoke a logical process of formation of the various classes, doing this way:
the matter first aggregates without any symmetry, then it adopts various rotation symmetries (no symmetry, binary, ternary, etc., simple or composite) and then adds to each symmetry of rotation the additional symmetries c (center), m (planes) or c + m together

**Category:** Mathematical Physics

[5] **viXra:1711.0348 [pdf]**
*submitted on 2017-11-17 14:12:41*

**Authors:** Gary D. Simpson

**Comments:** 9 Pages.

This essay discusses the meaning and role of the term “fundamental” as it applies to Math and Physics. The importance of Lagrange’s Four Squares Theorem is also discussed. It is argued that the vacuum is a 5-D Quantum-Space-Time and that the vacuum is fundamental.

**Category:** Mathematical Physics

[4] **viXra:1711.0272 [pdf]**
*submitted on 2017-11-10 13:59:02*

**Authors:** Dmitri Martila

**Comments:** 4 Pages.

Do Stokes and Gauss's theorems from Vector Analyses hold also in curved spacetime (or in the curved coordinates of a flat manifold)? These theorems (especially the Gauss's or the "Divergence" theorem) are ones of the utmost importance, especially for theoretical astrophysics. My opinion is in the file. Can you tell me what journal will accept this "nonsense"?

**Category:** Mathematical Physics

[3] **viXra:1711.0270 [pdf]**
*submitted on 2017-11-10 17:28:55*

**Authors:** David Njeru kathuri

**Comments:** 62 Pages.

This publication is about a theory that tries to scientifically prove that under certain conditions, fire is a portal that can be used in teleportation of matter.
The document also tries to give an alternative to General Relativity in the most scientifically precise way that leaves no room for doubt. This is done by giving a testable alternative theory of what the past & future is and its relation to gravity.

**Category:** Mathematical Physics

[2] **viXra:1711.0260 [pdf]**
*submitted on 2017-11-09 07:17:38*

**Authors:** Spiros Konstantogiannis

**Comments:** 42 Pages.

Quasi-exactly solvable symmetrized sextic oscillators have been proposed and studied by Quesne, who categorized them based on the parity – natural or unnatural – of their known eigenfunction [2]. Herein, we examine the quasi-exact solvability of symmetrized sextic oscillators using a quotient-polynomial approach [3, 4, 5], which, in this case, opens up the possibility to construct non-analytic sextic oscillators from analytic quotient polynomials, and thus to distinguish the oscillators resulting from analytic quotient polynomials from those resulting from non-analytic quotient polynomials. We analyze the cases n=0 and n=1, and we show that the results are in agreement with those of Quesne [2]. In the case n=2, we construct sextic oscillators using only analytic quotient polynomials, and focusing on the non-analytic oscillators whose known eigenfunction is of unnatural parity, we register a relation between the coefficients of the two non-analytic terms of the exponential polynomial, which then we generalize to the higher cases n=3 and n=4, to construct new non-analytic sextic oscillators whose known eigenfunction is of unnatural parity.

**Category:** Mathematical Physics

[1] **viXra:1711.0201 [pdf]**
*submitted on 2017-11-06 03:26:57*

**Authors:** Arturo Tozzi, James F Peters

**Comments:** 5 Pages.

The occurrence of infinite values in physical equations, such as singularity in the description of black holes, is a painstaking problem that causes many theories to break down and/or being incapable of describing extreme events. Different methods, such as re-normalization, have been used in the assessment of physical observables in order to erase the undesirable infinity. Here we propose a novel technique, based on geometrical considerations, that allows removal of infinity and achievement of physical theories void of such a problem. We compare finite quantities to curved lines endowed in positive-curvature manifolds, and intractable infinity to a straight line. In order to restore the equations and erase the straight line of infinity, we project the quantities onto curved lines endowed in negative-curvature manifolds.

**Category:** Mathematical Physics