# Mathematical Physics

## 0910 Submissions

[2] **viXra:0910.0069 [pdf]**
*submitted on 31 Oct 2009*

### Invariants Relative to Change of Value of the Independent Variable and Their Role in the Physics.

**Authors:** Vladimir I. Smirnov

**Comments:** 34 pages, Russian and English versions included

It is identified the new class of invariants which values are constant at change of value of an inde-pendent variable.
Their properties and a deriving method are shown on already known and still un-known instances, concerning to various
areas of physics. In particular, new invariants (50), (55) and (57) for the straight lines intersected in one point on
a plane have been discovered. Besides, the re-quest for detection of the third (not dependent on two already known) an
invariant (31) electromag-netic fields for a special case of the special theory of relativity is made.

**Category:** Mathematical Physics

[1] **viXra:0910.0016 [pdf]**
*submitted on 11 Oct 2009*

### Mathematical and Phenomenological Elements of the Twin-Tori Model of Physics and Cosmology.

**Authors:** Chris Forbes

**Comments:** 10 pages

In this, a follow up to a previous paper 'A Short Article On A Newly
Proposed Model Of Cosmology' (viXra:0909.0005), some of the basic
mathematical structures to be used in the formulation of the model are
shown, and several advantages are discussed. The paper then takes a
more phenomenological approach and several simple (1+1) dimensional
models are explored.

**Category:** Mathematical Physics