Quantum Gravity and String Theory

0909 Submissions

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

On 2 + 2-Dimensional Spacetimes, Strings, Black-Holes and Maximal Acceleration in Phase Spaces

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 = 2GNM 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) = 2GNM 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 H2 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 S1 x R2. 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

On n-ary Algebras, Branes and Polyvector Gauge Theories in Noncommutative Clifford Spaces

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 [X1,X2, ......,Xn] with the poly-vector valued coordinates X123...n in noncommutative Clifford spaces is explicitly derived [X1,X2, ......,Xn] = n! X123...n. The large N limit of n-ary commutators of n hyper-matrices Xi1i2....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

A Chern-Simons E8 Gauge Theory of Gravity in D = 15, Grand Unification and Generalized Gravity in Clifford Spaces

Authors: Carlos Castro
Comments: 19 Pages. This article appeared in the International Journal of Geometric Methods in Modern Physics Vol. 4, No. 8 (2007) 12391257.

A novel Chern-Simons E8 gauge theory of gravity in D = 15 based on an octic E8 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 E8 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 E8 Yang-Mills field theory is a small sector of a Clifford (16) algebra gauge theory. An E8 gauge bundle formulation was instrumental in understanding the topological part of the 11-dim M-theory partition function. The nature of this 11-dim E8 gauge theory remains unknown. We hope that the Chern-Simons E8 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

A Proposal for a Unified Field Theory

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

Veneziano Amplitudes, Spin Chains, and String Models

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

Polyvector-valued Gauge Field Theories and Quantum Mechanics in Noncommutative Clifford Spaces

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

Polyvector Super-Poincare Algebras, M, F Theory Algebras and Generalized Supersymmetry in Clifford-Spaces

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

Renormalizable Yang-Mills Tetrad Gravity

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