[8] **viXra:0909.0049 [pdf]**
*submitted on 25 Sep 2009*

**Authors:** Carlos Castro, J. A. Nieto

**Comments:** 41 Pages. This article appeared in the Int. J. Mod. Phys. A vol 22, no. 11 (2007) 2021.

We study black-hole-like solutions ( spacetimes with singularities ) of Einstein
field equations in 3+1 and 2+2-dimensions. In the 3+1-dim case, it is
shown how the horizon of the standard black hole solution at r = 2G_{N}M can
be displaced to the location r = 0 of the point mass M source, when the radial
gauge function is chosen to have an ultra-violet cutoff R(r = 0) = 2G_{N}M if,
and only if, one embeds the problem in the Finsler geometry of the spacetime
tangent bundle (or in phase space) that is the proper arena where to incorporate
the role of the physical point mass M source at r = 0. We find three
different cases associated with hyperbolic homogeneous spaces. In particular,
the hyperbolic version of Schwarzschild's solution contains a conical singularity
at r = 0 resulting from pinching to zero size r = 0 the throat of the hyperboloid
H^{2} and which is quite different from the static spherically symmetric
3+1-dim solution. Static circular symmetric solutions for metrics in 2+2 are
found that are singular at ρ = 0 and whose asymptotic ρ → ∞ limit leads to a
flat 1+2-dim boundary of topology S^{1} x R^{2}. Finally we discuss the 1+1-dim
Bars-Witten stringy black-hole solution and show how it can be embedded
into our 3 + 1-dimensional solutions with a displaced horizon at r = 0 and
discuss the plausible stringy nature of a point-mass, along with the maximal
acceleration principle in the spacetime tangent bundle (maximal force in phase
spaces). Black holes in a 2 + 2-dimensional "spacetime" from the perspective
of complex gravity in 1 + 1 complex dimensions and their quaternionic and
octonionic gravity extensions deserve furher investigation. An appendix is
included with the most general Schwarzschild-like solutions in D ≥ 4.

**Category:** Quantum Gravity and String Theory

[7] **viXra:0909.0045 [pdf]**
*submitted on 24 Sep 2009*

**Authors:** Carlos Castro

**Comments:** 25 Pages. This article has been submitted to the J. Math. Phys.

Polyvector-valued gauge field theories in noncommutative Clifford spaces
are presented. The noncommutative star products are associative and
require the use of the Baker-Campbell-Hausdorff formula. Actions for pbranes
in noncommutative (Clifford) spaces and noncommutative phase
spaces are provided. An important relationship among the n-ary commutators
of noncommuting spacetime coordinates [X^{1},X^{2}, ......,X^{n}] with the
poly-vector valued coordinates X^{123...n} in noncommutative Clifford spaces
is explicitly derived [X^{1},X^{2}, ......,X^{n}] = n! X^{123...n}. The large N limit of
n-ary commutators of n hyper-matrices X_{i1i2}....in leads to Eguchi-Schild
p-brane actions for p + 1 = n. Noncommutative Clifford-space gravity as
a poly-vector-valued gauge theory of twisted diffeomorphisms in Clifford spaces
would require quantum Hopf algebraic deformations of Clifford
algebras.

**Category:** Quantum Gravity and String Theory

[6] **viXra:0909.0032 [pdf]**
*submitted on 14 Sep 2009*

**Authors:** Carlos Castro

**Comments:** 19 Pages. This article appeared in the International Journal of Geometric Methods in Modern Physics Vol. 4, No. 8 (2007) 1239–1257.

A novel Chern-Simons E_{8} gauge theory of gravity in D = 15 based on an octic E_{8}
invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is
developed. A grand unification model of gravity with the other forces is very plausible
within the framework of a supersymmetric extension (to incorporate spacetime fermions)
of this Chern-Simons E_{8} gauge theory. We review the construction showing why the
ordinary 11D Chern-Simons gravity theory (based on the Anti de Sitter group) can be
embedded into a Clifford-algebra valued gauge theory and that an E_{8} Yang-Mills field
theory is a small sector of a Clifford (16) algebra gauge theory. An E_{8} gauge bundle formulation
was instrumental in understanding the topological part of the 11-dim M-theory
partition function. The nature of this 11-dim E_{8} gauge theory remains unknown. We
hope that the Chern-Simons E_{8} gauge theory of gravity in D = 15 advanced in this
work may shed some light into solving this problem after a dimensional reduction.

**Category:** Quantum Gravity and String Theory

[5] **viXra:0909.0027 [pdf]**
*submitted on 9 Sep 2009*

**Authors:** Bruce Rout

**Comments:** 16 pages

A proposal outlining an approach to a unified field theory is presented.
A general solution to the time-dependent Schrödinger Equation
using an alternative boundary condition is found to derive the Heisenberg
uncertainty formulae. A general relativity/quantum mechanical
interaction between a photon and a gravitational field is examined to
determine the degree of red shifting of light passing through a gravitational
field. The Einstein field equations, complete with an arrangement
of Faraday tensors, are presented with suggestions to determine the energy
of a photon from Einstein's and Maxwell's equations. Schrödingers
Equation is coupled with both the Einstein field equations and Maxwells
equations to derive a possible foundation for string theory.

**Category:** Quantum Gravity and String Theory

[4] **viXra:0909.0025 [pdf]**
*submitted on 9 Sep 2009*

**Authors:** Arkady L. Kholodenko

**Comments:** 35 pages

In a series of recently published papers, we reanalyzed the existing treatments of
Veneziano and Veneziano-like amplitudes and the models associated with these amplitudes.
In this work, we demonstrate that the already obtained new partition function
for these amplitudes can be exactly mapped into that for the Polychronakos-Frahm spin
chain model. This observation allows us to recover many of the existing string-theoretic
models, including the most recent ones.

**Category:** Quantum Gravity and String Theory

[3] **viXra:0909.0020 [pdf]**
*replaced on 14 Sep 2009*

**Authors:** Carlos Castro

**Comments:** 14 pages, this article has been submitted to Mod Phys Letts A" (instead to IJMPA)

The basic ideas and results behind polyvector-valued gauge field theories
and Quantum Mechanics in Noncommutative Clifford spaces are
presented. The star products are noncommutative and associative and
require the use of the Baker-Campbell-Hausdorff formula. The construction
of Noncommutative Clifford-space gravity as polyvector-valued gauge
theories of twisted diffeomorphisms in Clifford-spaces would require quantum
Hopf algebraic deformations of Clifford algebras.

**Category:** Quantum Gravity and String Theory

[2] **viXra:0909.0003 [pdf]**
*submitted on 1 Sep 2009*

**Authors:** Carlos Castro

**Comments:** 17 pages, This article appeared in the Int. Journal of Mod. Phys. A 21, no.10 (2005) 2149.

Starting with a review of the Extended Relativity Theory in Clifford-Spaces, and the physical motivation
behind this novel theory, we provide the generalization of the nonrelativistic Supersymmetric pointparticle
action in Clifford-space backgrounds. The relativistic Supersymmetric Clifford particle action is
constructed that is invariant under generalized supersymmetric transformations of the Clifford-space background's
polyvector-valued coordinates. To finalize, the Polyvector Super-Poincare and M, F theory superalgebras,
in D = 11, 12 dimensions, respectively, are discussed followed by our final analysis of the novel
Clifford-Superspace realizations of generalized Supersymmetries in Clifford spaces.

**Category:** Quantum Gravity and String Theory

[1] **viXra:0909.0001 [pdf]**
*submitted on 1 Sep 2009*

**Authors:** Jack Sarfatti

**Comments:** 8 pages

Although Yang-Mills theory was developed for non-universal compact internal symmetry
groups of subsets of matter fields, it should also work for the universal non-compact
symmetry groups of all matter fields implied by the classical Einstein local equivalence
principle. We introduce a new class of direct gravity couplings of rotating matter to the
electromagnetic field that can be tested in principle especially in rotating
superconductors.

**Category:** Quantum Gravity and String Theory