**Authors:** Markos Georgallides

This article explains how Geometry and geometrical constructions , [ Spaces , Anti-Spaces , Sub-Spaces ] are able to connect Properties , such as Mass , Energy , and the conservation laws of Physics with only one substance , that of Vector ds , which is ds = AB > 0 → < ∞ with Impulses P A + P B = 0 or ≠ 0 at edge points A , B . Since neutrinos may travel faster than light and also gravity instantly affects , a new explanation is needed . The present article < The Higgs Boson ( Particle ) and the Euclidean Geometry > describes the motion of one of the infinite Sub-Spaces in [ PNS ] , which are moving in Primary Neutral Space . It has been shown that , 1.. Primary point A , having not Position and consequently not any Space existing , therefore is the only Space , and to exist 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 [ PNS ] = [ A ≡ B ] . Since Primary point A is the only Space , then on it exists 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 → ( PNS ) and also with P ≠ 0 , [ P A + P B = 0 for 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 Field with infinite points which have a ± Charge with P = 0 → P → ∞ . Primary Neutral - Space [ PNS ] exists with the infinite Points N with three Spatial dimensions ( Xo , Yo , Zo ) and the infinite Impulses P , ( P xi , Pyi , Pzi ) , and i = 0 → ∞ . 2.. Since points A , B of [ PNS ] coincide with the infinite Points , of the infinite Spaces , Anti-Spaces and Sub-Spaces of [ PNS] , and since Motion may occur at all Bounded Sub-Spaces , then this Relative motion is happening between all points belonging to [ PNS ] and to those points belonging to the other Sub-Spaces ( A ≡ B ) . The Infinite points in [ PNS ] form infinite Units AiBi = ds , which equilibrium by Primary Anti – Space by an Inner Impulse ( P ) at edges A , B where PiA + Pi B ≠ 0 , and ds = 0 → N = ∞ . 3 .. 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 binomial dsⁿ is Complex number also . 4.. Monads ds ( dipole AB ) and according to their position in S , A-S , S-S , make the four types of matter , and the Combination of the four types of matter , creates all gauge magnitudes which is Mass and Energy , and so all types of Particles and Fields in universe .The 15 possible types of matter correspond to the , Visible , Invisible , Real and Imaginary Universes ( Visible and Invisible Dark matter and Energy ) . Dipole AB is composed of the two Elements → the [ Dipole AB = matter ≡ is the communicator] , and the Impulse [ P ] with the Bounded Impulses ( PA , P B ) . 5.. The difference of Impulses dP = P B – PA > = < 0 of Dipole AB (mass) , creates ± charge . For very small ds ( near zero) which happens at the boundaries of Spaces , ± charge may be point charge ( Spaces form open Strings while Sub-Spaces form closed Strings . Cosmic rays is a Quantum field from a , near zero ds Sub-Space ) , and in very large scales ds , is of ± charge and of the same Field , ( This because Particles , wave like , do not enter a Space smaller than their wavelength ) . 6.. A ray , say M - Ray , interact on the infinite Monads of [PNS] with infinite velocity and zero frequency . This Motion is Continuous and occurs on Dimensional Bounded Units , ds , and not on Points ( this happens only for very small ds near zero and at boundaries of the Spaces ) which are dimensionless . The difference of Impulse dP = P B-PA on points A , B and on points Pi A , Pi B is ± charge . All particles act as wave ( wave-particle duality ) because of the Total energy conservation law of Pythagoras in 2,3 Dim . 7.. The four Interaction of particles or Fields occur directly or Indirectly .

**Comments:** 12 Pages.

**Download:** **PDF**

[v1] 2012-09-24 09:00:38

**Unique-IP document downloads:** 109 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful. *