Mathematical Physics

1607 Submissions

[5] viXra:1607.0384 [pdf] submitted on 2016-07-20 15:09:39

Coordinate Systems Larger Than Four Dimensions

Authors: Jerry L. Decker
Comments: 5 Pages. Eliminating transformations space like and time like at high speed

A method was found for constructing coordinate systems larger than four dimensions. Velocity vectors and base units were used to define a reference frame by attaching a clock to each of the velocity components. Additional meters were also attached to velocity components. All of the resulting systems can be physically constructed and tested.
Category: Mathematical Physics

[4] viXra:1607.0374 [pdf] submitted on 2016-07-19 18:32:01

Explanatory Theory of Physics: The Grand Unification Scheme

Authors: Miguel A. Sanchez-Rey
Comments: 3 Pages.

Why did unification work better with the Super-Yang Mills Gauge Analog than any other unification attempts?
Category: Mathematical Physics

[3] viXra:1607.0199 [pdf] submitted on 2016-07-17 15:09:37

A Theory of Exactly Integrable Quadratic Liénard type Equations

Authors: M. D. Monsia, J. Akande, D. K. K. Adjaï, L. H. Koudahoun, Y. J. F. Kpomahou
Comments: 10 pages

The dynamics of quadratic Liénard type equations is usually investigated in the only context of periodic solutions. The problem of interest in this work is then to demonstrate the existence of a simple variable transformation generating a class of exactly integrable quadratic Liénard type equations that preserves the three distinct damped dynamical operating regimes of nonlinear oscillators. Specific examples of equation belonging to this class and their exact solutions in terms of the periodic solution to linear harmonic oscillator are provided for illustrating the developed theory.
Category: Mathematical Physics

[2] viXra:1607.0123 [pdf] submitted on 2016-07-10 14:02:38

Massive Scalar Field Theory on Discrete N-Scales

Authors: Furkan Semih Dundar
Comments: 4 Pages.

$N$-scales are a generalization of time-scales that has been put forward to unify continuous and discrete analyses to higher dimensions. In this paper we investigate massive scalar field theory on $n$-scales. In a specific case of a regular 2-scale, we find that the IR energy spectrum is almost unmodified when there are enough spatial points. This is regarded as a good sign because the model reproduces the known results in the continuum approximation. Then we give field equation on a general $n$-scale. It has been seen that the field equation can only be solved via computer simulations. Lastly, we propose that $n$-scales might be a good way to model singularities encountered in the general theory of relativity.
Category: Mathematical Physics

[1] viXra:1607.0096 [pdf] submitted on 2016-07-08 06:09:08

Consideration of Some Generalizations of Riemann-Liouville Integral in Physics

Authors: Zoran B. Vosika
Comments: 17 Pages.

Generalization of fractal density on a fractals for spaces with positive and negative fractal dimensions. Fractal-fractional generalized physics (i.e. classical or quantum physics). Generalized Hausdorff measures. Numbers and generalized functions as generalized logical values. Beyond logics and numbers. Generalized concept of physical field, i.e generalized universes and multiverses. Fractional generalization of path integrals.
Category: Mathematical Physics