Mathematical Physics

1405 Submissions

[8] viXra:1405.0306 [pdf] replaced on 2014-05-28 07:52:03

Eternal Rotational Dark Torus Suggests Visible Big Bang in the Double Torus Universe.

Authors: Dan Visser
Comments: 11 Pages. I hope for attention in the vixra-blog and science-magazines.

‘Spatial dark matter’ and ‘two refined time-clocks smaller than the Planck-time’ cause a CMB-dipole and concentric circles in the CMB of the universe. This proves a Double Torus Universe. Hence the universe did not start with a Big Bang. These characteristics are derived, analyzed, explained in my articles of the Double Torus Theory (DTT) and proved by current lab-experiments and astronomical observations. Furthermore three levels of accelerations are derived, which prove several dimensional characteristics, such as the accelerated space expansion in Big Bang cosmology is due to rotation of the Double Torus, or such as dimensions that show dark matter is not a mass-particle like a ‘wimp’. However, the heart of the DTT is the use of ‘time smaller than the Planck-time’ (sub-quantum-time). This is the power for events beyond quantum-gravitation, which makes events visible for just 4.45%. The rest seems to remain dark, but eventually involves in the sub-quantum-dynamics of the universe. I also give a related derivation, which uses the ‘Gaussian mathematical expression’ for accelerations related to gravitation in the DTT, instead of using the Gaussian only for CMB-temperature-variations. Thereby I introduced a new ‘duonistic-parameter’ (b=0, b=1, b=2), which describes how entangled ‘duonistic neutrinos’ involve in three levels of acceleration. These ‘duonistic neutrinos’ represent space. The acceleration-levels relate to a Newton-constant (G) for G’ < G or G=0, or G”> G or G=1. The acceleration-levels performed are: An acceleration-level for CMB-dark flow and CMB-concentric circles per (±i±1)G, an acceleration-level for spatial dark flow on mass per ±G and an acceleration-level for the torus-rotation of the universe per ±G^2.
Category: Mathematical Physics

[7] viXra:1405.0298 [pdf] submitted on 2014-05-23 23:23:45

Abstraction and Structures in Energy

Authors: Subhajit Ganguly
Comments: 34 Pages.

Zero postulation and the principles of the Theory of Abstraction are used to study structures of energy inside a black hole, which is incredibly heavy and incredibly small. We chase the questions, how matter (with various structures) is formed from energy and the energy making up matter has to be in what orientation to form the matter that we see. We arrive at the fundamental model and the equations describing the formation of structure in energy.
Category: Mathematical Physics

[6] viXra:1405.0285 [pdf] submitted on 2014-05-21 16:27:08

Dynamics Model of Human Mind.

Authors: Michail Zak
Comments: 33 Pages.

This paper proposes a mathematical formalism for describing the machinery of human mind creativity. Since some functions of mind support discreteness of cognition, but others support its continuity, while time in physics is always continuous, an attempt to overcome the continuous/discrete duality of mind performance is implemented via utilization of special critical points: terminal attractors and repellers that act as autonomous biological clock. In this paper, attention is concentrated upon the discrete mode of the mind activity since the continuous mode was introduced and discussed in details in our previous publications. The fundamental novelty of the model is in its capability to move from disorder to order without external inputs in violation of the second law of thermodynamics; that suggests that this kind of dynamics requires extension of modern physics to include physics of life. Conceptually the discrete model links to its continuous version represented by a hypothetical particle of life that is briefly discussed prior to derivation of the discrete model. However the discrete model should be considered as the next step in study of mind dynamics since it provides a bridge to mathematical origin of self-generated novelties in such brunches as mathematical logic and linguistic, i.e. the highest level activities of human mind. The proposed model deals with rules of mind activity rather than with its content.
Category: Mathematical Physics

[5] viXra:1405.0277 [pdf] submitted on 2014-05-20 21:59:51

Model of Hypothetical Particle of Life.

Authors: Michail Zak
Comments: 16 Pages.

The paper discusses a possible expansion of modern physics to include physics of Life since all attempts to create livings from non-living matter failed. Prior to the discussion, a life/non-life criterion is proposed: unlike physical systems, Livings can move from disorder to order without an external interference if the model of life concentrates upon the concept of intelligent behavior and does not include such “auxiliary” processes as metabolism and reproduction. A mathematical formalism suggests that a hypothetical “particle of life” (L-particle) can be represented by a quantum-classical hybrid in which the force following from the quantum potential is replaced by the information force. Besides the capability to move against the second law of thermodynamics, L-particle acquires such properties like self-image, self-awareness, self- supervision, est. that are typical for Livings. However since the L-particle being a quantum-classical hybrid acquires non-Newtonian and non-quantum properties, it does not belong to the physics matter as we know it: the modern physics should be complemented with the concept of the information force that represents a bridge between non-living and living matter. It has been suggested that quantum mechanics and mechanics of livings are sub-classes of a broader physical model, and the difference between them is due to different Liouville feedbacks, i.e. in different information forces. At this stage, L-particle is introduced as an abstract mathematical concept that is satisfied only to mathematical rules and assumptions, and its physical representation is still an open problem.
Category: Mathematical Physics

[4] viXra:1405.0261 [pdf] submitted on 2014-05-18 00:55:31

On the Physical Reality of Tachyons

Authors: S.Kalimuthu
Comments: 4 Pages. NA

In this work, the author attempts to show that it is not possible to generate or find tachyons
Category: Mathematical Physics

[3] viXra:1405.0251 [pdf] replaced on 2015-01-18 02:02:49

Solutions of Navier-Stokes Equations plus Solutions of Magnetohydrodynamic Equations

Authors: A. A. Frempong
Comments: 45 Pages. Copyright © A. A. Frempong

Better news. After nearly 150 years of patience, the Navier-Stokes equations in 3-D for incompressible fluid flow have been analytically solved by two different methods. It is shown that these equations can be solved in 4-dimensions or n-dimensions. The author has proposed and applied a new law, the law of definite ratio for incompressible fluid flow. This law states that in incompressible fluid flow, the other terms of the fluid flow equation divide the gravity term in a definite ratio and each term utilizes gravity to function. The sum of the terms of the ratio is always unity. It is shown that without gravity forces on earth, there would be no incompressible fluid flow as is known (see p. 23). By applying the above law, the hitherto unsolved magnetohydrodynamic equations were also routinely solved. In addition to the usual method of solving these equations, the N-S equations have also been solved by a second method in which the three equations are added to produce a single equation which is then integrated. The solutions by the two methods are identical, except for the constants involved. The Navier-Stokes equation will be linearized, solved, and the solution analyzed. This solution will be followed by the solution of the Euler equation. Following the Euler solution, the Navier-Stokes equation will be solved, essentially by combining the solutions of the linearized equation and the Euler solution. For the Navier-Stokes equation, the linear part of the relation obtained from the integration of the linear part of the equation satisfied the linear part of the equation; and the relation from the integration of the non-linear part satisfied the non-linear part of the equation. The solutions and relations revealed the role of each term of the Navier-Stokes equations in fluid flow. The gravity term is the indispensable term in fluid flow, and it is involved in the parabolic and forward motion. The pressure gradient term is also involved in the parabolic motion. The viscosity terms are involved in parabolic, periodic, and decreasingly exponential motion. The variable acceleration term is also involved in the periodic and decreasingly exponential motion. The convective acceleration terms produce square root function behavior and fractional terms containing square root functions with variables in the denominators and consequent turbulence behavior. For a spin-off, the smooth solutions from above are specialized and extended to satisfy the requirements of the CMI Millennium Prize Problems, and prove the existence of smooth solutions of the Navier-Stokes equations.
Category: Mathematical Physics

[2] viXra:1405.0207 [pdf] submitted on 2014-05-10 11:29:35

The Outside Relativity Space Energy Universe

Authors: Markos Georgallides
Comments: 16 Pages.

The position of points in Spaces presupposes Energy [22] → Point , which is nothing and has not any Position may be anywhere in Space , therefore , the Primary point A being nothing also in no Space , is the only Point and nowhere i.e. Primary Point is the only Space and from this all the others which have Position , therefore is the only Space and to exist point A at a second point B somewhere else , point A must move at point B , where then A ≡ B ← Point B is the Primary Anti-Space which Equilibrium point A in [PNS]=[A≡ B] . The position of points in [PNS] creates the infinite dipole and all quantum quantities which acquire the Potential difference and the Intrinsic moment Λ in the three Spatial dimensions (x , y , z) and on the infinite points of the ( i ) Layers at these points , which exist from the other Layers of the Primary Space Anti-Space and Sub-Space , and this because Spaces = monads = quaternion = Wave [24] . Since Primary point A is the only Space , then exists the Principle of Virtual Displacements W = ∫P.ds = 0 or [ds .(PA + P B) = 0] i.e. for any ds > 0 Impulse P = ( PA + P B ) = 0 . All points may exist with P = 0 and also with P ≠ 0 , ( P A + P B = 0 ) in ( PNS) , for all points in Spaces and Anti – Spaces , therefore [PNS] is self created , and because at each point may exist also P ≠ 0, then [PNS] is a (perfectly elastic) Field with infinite points which have a ± Charge with P = 0 → P = Λ → ∞ . Beyond Planck scale , Energy is dissipated as Temperature in this , Perfect Elastic , Configuration in individual particles with 0 < ds < 10 - 35 m as monads the units AiBi = ds- , which equilibrium by the Primary Anti–Space by an Inner Impulse (P) at edges A,B where P i A + P i B ≠ 0 , and ds = 0 → N → ∞ following the ideal Gas equation [Λ= nRT/V] of Entropy in Thermodynamics (perfectly elastic) . Monad A-B is the ENTITY and [A,B – P –A , P -B ] is the LAW , so Entities are embodied with the Laws and is quaternion A- B , and law |AB| = length of points A , B and imaginary part forces P –A , P –B . Monads = Quantum = ds = AB / ( n= ∞ → 0) = [a ± b.i] = 0 → ∞ create Spaces (S) , Anti-Spaces ( A-S) and Sub-Spaces (S-S) of AB , which Sub-Spaces are Bounded Spaces , Anti-Spaces and Sub Spaces in it and are not purely spatial because are Complex numbers which exist for all Spaces since dsn is Complex number also , in a specific number of independent moles called , Fermions and Bosons , with F = qE+qv- xB = q[ E+v- xB ] the Lorentz force in Electromagnetic crossed fields E ,B. Dipole A- B = [λ , Λ] in [PNS] are composed of the two elements λ , Λ which are created from points A , B only where Real part |AB| = λ= wavelength (dipoles ) and from the embodied Work the Imaginary part W=∫P.ds = (r.dP) = r–x p- = I.w = [λ.p] = λΛ = k2 , where momentum Λ= p and Forces dP = P –A ,P -B are the stationary sources of the Space Energy field [22-25] . EulerÁs rotation in 3D space is represented by an axis (vector) and an angle of rotation , which is a property of complex numbers and defined as z = [ s ± v-.i ] where s , |v-| are real numbers and i the imaginary part such that i² = -1. Extending imaginary part of dipole to the three dimensions v-1 i , v-2 j , v-3 k → v-.Ñi then becomes quaternion . In [24] monad [ 0,Λ ] = Energy is dissipated on points and on quantized spaces smaller < and > greater to Planck scale . The moving charges is velocity v- created from the rotating Energy momentum vector [Λ = Ω = (λ.P) = ± Spin] which creates on monads the Centrifugal force (Ff) , the equal and opposite to it Centripetal force (Fp) and acceleration ā is mapped [and because of the viscous (semi-elastic) is damped] on the ⊥ to Λ plane as → v- E||dP and v- B ^ dP ← following Kirchhoff 's circuit R ,L,C rules with circuits , the Sub-spaces of the tiny monads . The kinetic rotated energy in the viscously damped configuration ( as a Lagrange's Ray light viscously damped system ) is dissipated as Electromagnetism and when v-E- = 0 , momentum Λ- = m v- only , is exerting the velocity vector v-B to the dipole vector , λ , and the generalized mass M (the reaction to the change of velocity v-) creating component forces FE||dP -.v- and FB ^ dP – xv- in the non-viscous damped monads ( the solids ) . Energy in a vibrating System is either damped (or dissipated) into Heat which is another type of energy [Energy ,momentum vector Λ.λ is then damped on the perpendicular to Λ plane , as this is a Spring-mass System , with viscous dumping , on co variants Energy E , mass M , velocity v- or radiated away . Spin =Λ= r-.m.u- r is the rotating energy of the oscillatory system . Oscillatory motion is the simplest case of Energy dissipation of Work embodied in dipole . In any vibratory system , Energy k = λΛ is Spin of Dipole λ , and is dissipated in the three quantized Planck Spaces 0 < λ < 10 \34, (10 \ 34 < λ < 10 34 ) , λ > 10 34 m and damped as the linear momentum vector Λ = M.v̄ in them , i.e The only < Space - Energy Configuration > is a constant Sinusoidal Potential System . [28]
Category: Mathematical Physics

[1] viXra:1405.0003 [pdf] submitted on 2014-05-01 15:01:20

P vs. NP Conceptual Graph

Authors: Andrew Nassif
Comments: 2 Pages. No rude comments please, I know the paper is short but this is just a graph

Andrew Nassif looks at the problem known as the P vs. NP and provides a conceptual graph of the problems representation through various color patterns and 3 dimensional graphs.
Category: Mathematical Physics