Mathematical Physics

   

The Origin of the Fundamental Particles in Planck ` S Confinement

Authors: Markos Georgallides

This paper shows in a rigorous description, how nature is produced only from Euclidean Geometry , and that is not needed any attempt ion to establish any Philosophy or axioms as these of theories. All physical laws such as Momentum Newton`s second law of gravity, Maxwell`s equations of fields, conservation laws, Spring from geometry logic and are common to, the Large and Short scale distances without any exclusion principles or assumptions. Existing of everything follows the only one conservation law, that of Virtual work and not any logical starting point . [STPL] line (cylinder) is a geometrical mechanism , the only passage (mould = Tensor) from, Common Circle of Space , Anti-Space (which is a Plane) to Particles (reflected evanescent waves) with real part (s) and imaginary part (± v.i) and without any assumption , that reflected waves have an unknown phase shift . Reflected wave is equal to the incident wave (the real part to the real place and the imaginary part to the imaginary place with all incident properties (spin) included) , i.e. different properties create distinct kinds of waves as these are the Fermions and Quarks of scalar magnitudes with ½ spin and Bosons of vector magnitudes with 1 spin. In Common circle circumference, the components of light waves interfere with each other to produce a ,Color , Spectrum because of Birefringence, a property of the (Centripetal) stress material with more than two indices, n, of refraction. [Retardation is the phase difference between the two light vectors through the material at different velocities (fast, slow) and determines color Bands and as Retardation and stress (σ) go up then the colors cycle through a more or less repeating Pattern and the Intensity of the colors diminishes] . In Common Circle of equilibrium Space Anti-Space with different angular velocity vector, v = w r, in the absence of applied Torques produces the Color Spectrum which is, the < Color Forces > → Gluon Red, Gluon Green, Gluon Blue and velocity of light on the circumference. Planck`s length Lp in Einstein's theory of General Relativity is approximately implicated to the properties of physical Spaces instead that of Lp = e i.( - 5π / 2).10 = 8,906.10  35 m which is based on the three natural constants ,e, i, π , only . Lame`s stress ellipsoid represent Cauchy stress quadric of the Stress State at a point . Mohr circle can be applied to any symmetric 2x2 or 3x3 Tensor matrix and is graphically (geometrically) representing Cauchy stress Tensor. [STPL] line can be applied to any 3x3 symmetric Tensor (which are Spaces , Anti-Spaces and Sub-Spaces) and is graphically representing the passage (mould = Tensor 6x3) from , Common Circle of the Gravity Cave, in Lg = 3,969.10  62 m = 2r (a Plane) to Particles in Planck`s Cave Lp , with Velocities (v = wr) that of light ,c, tending to zero . For rotations in caves Lc > Lg then exist Velocities (vc = wr) faster than that of light ,c, [vc > c ] tending to ∞. The hidden pattern of universe is ,STPL- line, which is off the Spaces and connect them ( maintain , conserve , and support all universe ) , so , it is the Navel string of galaxies.

Comments: 14 Pages.

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Submission history

[v1] 2014-09-06 09:20:35

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