[5] **viXra:1104.0066 [pdf]**
*submitted on 25 Apr 2011*

**Authors:** Philip Carter

**Comments:** 29 pages, Licensed under the Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 Unported License

On the basis of acknowledged quantum facts it is argued that the quantum state is extended in four spatial
dimensions in a 4D space interpenetrating our 3D space. The notion of branes is borrowed from M/String
Theory to conceptualize the spatial arrangement. Euclidean spacetime is reinterpreted as the spatial
geometry of the 4-brane, with “imaginary time” reinterpreted as the fourth (imaginary) spatial dimension.
The imaginary axis of the quantum state is identified as its fourth spatial dimension, yielding a natural
union of Special Relativity and Quantum Mechanics and the emergence of time. Spatial properties are
shown to explain quantum nonlocality, while time in the 3-brane emerges from motion of or through the
imaginary dimension in the 4-brane. A consciousness-model is introduced which conforms to the spatial
configuration while providing mechanisms for resolution of the Measurement Problem.

**Category:** Quantum Gravity and String Theory

[4] **viXra:1104.0065 [pdf]**
*replaced on 28 Sep 2011*

**Authors:** Felix M. Lev

**Comments:** 94 pages, 2 figures. Chapter 3 (considering observable gravitational effects) has been considerably revised.

We consider a system of two free bodies in de Sitter invariant quantum mechanics.
De Sitter invariance is understood such that representation operators satisfy commutation
relations of the de Sitter algebra. Our approach does not involve quantum
field theory, de Sitter space and its geometry (metric and connection). At very large
distances the standard relative distance operator describes a well known cosmological
acceleration. In particular, the cosmological constant problem does not exist and
there is no need to involve dark energy or other fields for solving this problem. At
the same time, for systems of macroscopic bodies this operator does not have correct
properties at smaller distances and should be modified. We propose a modification
which has correct properties, reproduces Newton’s gravity, the gravitational redshift
of light and the precession of Mercury’s perihelion if the width of the de Sitter momentum
distribution δ for a macroscopic body is inversely proportional to its mass m.
We argue that fundamental quantum theory should be based on a Galois field with a
large characteristic p which is a fundamental constant characterizing laws of physics
in our Universe. Then one can give a natural explanation that δ = constR/(mG)
where R is the radius of the Universe (such that λ = 3/R^{2} is the cosmological constant)
and G is a quantity defining Newton’s gravity. A very rough estimation gives
G ~ R/(m_{N}lnp) where mN is the nucleon mass. If R is of order 10^{26}m then lnp is of
order 10^{80} and therefore p is of order exp(10^{80}). In the formal limit p → ∞ gravity
disappears, i.e. in our approach gravity is a consequence of finiteness of nature.

**Category:** Quantum Gravity and String Theory

[3] **viXra:1104.0064 [pdf]**
*submitted on 19 Apr 2011*

**Authors:** Carlos Castro

**Comments:** 25 pages, submitted to Int. Jour. Mod. Phys A.

We explore the many novel physical consequences of Born’s reciprocal Relativity
theory in flat phase-space and to generalize the theory to the curved phase-space
scenario. We provide with six specific novel physical results resulting from
Born’s reciprocal Relativity and which are not present in Special Relativity.
These are : momentum-dependent time delay in the emission and detection of
photons; energy-dependent notion of locality; superluminal behavior; relative
rotation of photon trajectories due to the aberration of light; invariance of
areas-cells in phase-space and modified dispersion relations. We finalize by
constructing a Born reciprocal general relativity theory in curved phase-spaces
which requires the introduction of a complex Hermitian metric, torsion and
nonmetricity.

**Category:** Quantum Gravity and String Theory

[2] **viXra:1104.0009 [pdf]**
*submitted on 5 Apr 2011*

**Authors:** Bodo Lampe

**Comments:** 14 pages.

The possibility of a 6+1 dimensional spacetime model being the fundamental
theory for elementary particle interactions is explored. The dynamical object
is an (octonion) spinor defined over a spacetime lattice with S8 permutation
symmetry which gets broken to S4 x S4. Electroweak parity violation is
argued to arise from the interplay of the two permutation groups S4 or eventually
from the definition of the octonion product. It corresponds to a change
in sign for odd permutation lattice transformations and is shown to suggest
a form for the Hamiltonian.

**Category:** Quantum Gravity and String Theory

[1] **viXra:1104.0001 [pdf]**
*submitted on 1 Apr 2011*

**Authors:** Smail Messaoudi

**Comments:** 9 pages.

In this manuscript, we examine the hypothesis of an electromagnetic origin of the
gravitation. We suppose that the vacuum is polarized around a mass and we use the
wave nature of matter in order to redefine gravity. We determine the relative
permittivity and the relative permeability in order to find the expression of the energy
and of the gravitational force.

**Category:** Quantum Gravity and String Theory