# Quantum Gravity and String Theory

## 0707 Submissions

[2] **viXra:0707.0002 [pdf]**
*submitted on 26 Jul 2007*

### Generalization of Einstein's Relativity Two Dimensional Approach

**Authors:** Saurav Dwivedi

**Comments:** Pages.

Einstein’s (General and Special) relativity has been
described in four-dimensional space (Minkovskian space) by
four-coordinates under Lorentz transformation. However, the analysis
is useful in modern physics but yet non-generalized. Moreover,
generalization of relativity would not be possible with simple (any
way if four) coordinates because it despite generalized coordinates.
In this manner of description, ‘generalized relativity’ would be
formulated in two-dimensional space under a new ‘generalized
space-time geometry’ under two-dimensional generalized transformation.
However, in generalization of Relativity, its epistemology and
paradoxical cases remain unchanged. They would only be modified under
new scheme with two-dimensional description instead of four. Reference
frame observability has unchanged epistemology under such schemes.
However, the procedure for choosing coordinates, with despite of
generalized coordinates, is modified.

**Category:** Quantum Gravity and String Theory

[1] **viXra:0707.0001 [pdf]**
*submitted on 25 Jul 2007*

### 4D Quantum Gravity via W_infinity Gauge Theories in 2D, Collective Fields and Matrix Models

**Authors:** Carlos Castro

**Comments:** recovered from sciprint.org

It is shown how Quantum Gravity in D = 3 can be described by a
W_inifnity Matrix Model in D = 1 that can be solved exactly via the Collective
Field Theory method. A quantization of 4D Gravity can be attained
via a 2D Quantum W_inifnity gauge theory coupled to an infinite-component
scalar-multiplet ; i.e. the quantization of Einstein Gravity in 4D admits a
reformulation in terms of a 2D Quantum W_inifnity gauge theory coupled to an
infinite family of scalar fields. Since higher-spin W_inifnity symmetries are very
relevant in the study of 2D W_inifnity Gravity, the Quantum Hall effect, large
N QCD, strings, membranes, topological QFT, gravitational instantons,
Noncommutative 4D Gravity, Modular Matrix Models and the Monster
group, it is warranted to explore further the interplay among all these
theories.

**Category:** Quantum Gravity and String Theory