Page 1 of 61

European Journal of Applied Sciences – Vol. 12, No. 3

Publication Date: June 25, 2024

DOI:10.14738/aivp.123.17042.

Georgallides, M. (2024). The Epr-Argument Under the Critic of Material - Geometry & Space-Energy Universe. European Journal

of Applied Sciences, Vol - 12(3). 442-502.

Services for Science and Education – United Kingdom

The Epr-Argument Under the Critic of Material - Geometry &

Space-Energy Universe

Markos Georgallides

Larnaca – Cyprus

ABSTRACT

Distance is the Quanta in E-Geometry, while Material-point is the Quanta in

Physics and Material Geometry which is the Composition of Opposites and the

Elements in Chemistry and Physics. As in Algebra Zero,0, is the Master-key number

for all Positive and Negative numbers, and this because their sum and

multiplication become zero, and the same on any coordinate-System where, ±,

axes pass from zero, the Rolling of Positive ⊕ constituent on the Negative ⊝,

constituent, creates the Neutral Material Point Which Equilibrium. Its Angular

momentum B̅ is identical to the Spin S̅ and consists the First-Discrete-Energy- monad which occupies, Discrete Value and Direction, in contradiction to the

Point,which is Nothing, Dimensionless, and without any Direction.Quaternion

[(+)↻↺(-)] ≡ Box BQ ≡ Material Point ≡ Dipole, carries the Principal stress σ

between A(+), B(-), which σ, as Centripetal-acceleration is the minimum Energy

which becomes from the in Storage AB acceleration and is equal to the Gravity g.

Because in-Box may exist different motions Revolving R and Periodic,P, the

acceleration of Gravity g ≡  σ exists for the First Box-BR , while for the Second

Box- BP is following the Local-Extreme-case where the acceleration of Gravity g ≡

 σ, is the Locally altering Spin by changing the Principal-stress σ with an Local- uniform Pressure g L ≡ g kE = g * [Force/Area] = G, i.e. is proved that the minimum

Local - Energy acceleration is the known Universal Gravitational-constant G = g k

= kE g = kL σ = g. gL kL ≡σ.Φ3≡Φ[{σ Φ}≡[ 2B

πr3

]≡2πfP r ≡ v̅ ≡ mg = c̅ =

2.B

πr3

] such for

Macrocosm and as for Microcosm, and Obeying Newton`s Laws of motion. Photon

is a Box BR ≡ {It is the moving Energy-Storage, r, with The Golden ratio frequencies

→ fn = [ nσ

8 π2r 3

]. B̅ ≡

(1+√5 ).σ

4πr

=

E

h

}, Transported with Light velocity by An

Electromagnetic-Radiation of wavelength λ = c / fn= c / f1. It was Proved that Force

G pressing, through Stress, g, to Enter the Critical-cave Lp in Planck-length with

minimum Energy creates the Hydrogen - cave, while vibration fn , into the Energy –

Space - Unit-meters, g, π, creates the Electron, e, and Charges, q̅. General Relativity

touches the Planck - length while Quantum Mechanics begun to Penetrate in it.

EPR Argument is a Void after the elucidating of the Geometry that is followed.as

the Energy analysis the critic on the Fundamental Forces, the what is Energy- Quantization and what is Space-Energy.

Keywords: The EPR Argument related to Position, Geometry and Fundamental Forces,

Page 2 of 61

443

Georgallides, M. (2024). The Epr-Argument Under the Critic of Material - Geometry & Space-Energy Universe. European Journal of Applied

Sciences, Vol - 12(3). 442-502.

URL: http://dx.doi.org/10.14738/aivp.123.17042

THE QUANTIZATION OF THE → {ENERGY – SPACE UNIVERSE.}

General:

In a Conservative System the Total Energy ≡ Motion is constant and the Differential equation

of motion can be established by the Principle of Conservation of Energy. For the free vibration

of an Undamped System, the Energy is party Kinetic = E K which is stored in the mass by

virtue of its velocity and party Potential = E P which is stored in the form of strain energy in

elastic deformation, or Work done in a Forced-Field such as gravity. Issues E K = E P and E K +

E P= constant. From the theory of Vibrations, < All Systems possessing mass= m and Elasticity

= E = 1 / k are capable of free vibration in the absence of external excitation which is its

Natural frequency of vibration = w n and the equation of motion is → ẍ+ w 2n x = 0 ←where

w 2n=

k

m

, Gravitational force G = m g > i.e. Since the Hydrogen-cave System H, possesses mass

m H, and light-velocity c, then vibrates IN - OUT Positions (x, y, z) of all Universe, with its

Natural frequency wH =√

k

m H

. or and frequency f H =

w H

2π

, and is a Wave-function providing the

complete.

Description of the Physical Reality

From, Work = W = Force - Fi,j,k x Displacement ds i,j,k = ( Fi,j,k x ds i,j,k ) = ( F x ds ), and for the

Unit of time dt, → W / dt = F x ( ds / dt ) = ( F x ⃡v i, j, k ) = Power = P. i.e. (P = F x ⃡v ) Remarks,

from Mechanics - Physics:

1. Energy E = 1

2

m H. c 2, or → 2E = m H. c 2 ← and Velocity = The light-velocity c,

2. Wavelength λ H =

2π c

w H

, and Wave Amplitude A H =

λ H

2π

,

3. Hydrogen Power P H = 0,5. m H.[ A H ]2. [ c] 2

4. Hydrogen Stress-Vector σ H =

c

Φ

The Results in Hydrogen-cave

1. Hydrogen-Cave, IN – OUT Universe occupies mass m H, velocity ⃡c, and Power P H

2. Electron in Hydrogen-cave Processes and Nutates, due to the Gravitational constant G.

The produced Work is stored in the form of→ Stress Energy as Hydrogen-Bracket- Hook← The Electron Processes from the continuous and immense-communication to

gravity, g. Electron-Spin is the Angular-momentum-vector B̅ and rotates according to

equation dB

dt

3. The Tetrahedron-Cube-Sphere construction of Atoms Permits the Space-coordinates.

The Wave-eigenfunctions of many non-commuting Physical operators as Momentum

Power, from the Quantum-Mechanical description of the Physical-Reality is Complete

i.e. IF-known the Physical Operators, their coordinates are simultaneous Physical

reality.

4. The Interactions of Two or more Systems with known Status, can be calculated for any

time by the Carrier-Modulating-Modulated, Demodulation-Process, using Markos

Program < Programming the Atoms & Their Compounds > [100-104].SO All the

Historical Doubt of Einstein-Podolsky-Rosen for Q-Mechanics Completion VANISHES

Page 3 of 61

Services for Science and Education – United Kingdom 444

European Journal of Applied Sciences (EJAS) Vol. 12, Issue 3, June-2024

THE CRITIC OF GEOMETRIES RELATED TO EPR – ARGUMENT

The Point like Particles of Quantum Mechanics in Vacuum, are the three basic Elements, s2 =

v2 ≡ ⊕, 2s2 = 2v2 ≡ , - s2 = - v2 ≡ ⊝ ],which are the content of the Primary material of the

Cosmic Particles [91], [66-68].The extension of Space for a Deeper existence of the Particles is

defined in Coulomb-Energy equation where Force F C =

C.Q

r2

and Voltage VC =

C.Q

r

, and so VC =

r. F C, or Force [F C] x Cave [r] = Voltage [VC], i.e. Voltage of caves defines Forces in caves

without limits. The NEW Presented Interaction Method [92] The Wave & Particle Duality- Photon and Elementary Particles-Origination in www.IJRDO -Journals.org) and Based on the

Common-Knowledge of the Constructive and Destructive Interference of Waves is because

Particles are Waves [24-25].

The main Question should be for EPR and for all arguing an Answer to the following.

Which Geometry do, light-rays, follow???

➢ The Euclidean-Geometry EG ≡ Light ray → v̅. [. f

̅

n + fn ] ≡ Straight line ≡ v̅.[ fn ]

➢ The Hyperbolic-Geometry HG ≡ Light ray → v̅. [. f

̅

n + fn ] ≡ A Circle ≡ f

̅

n

➢ The Riemannian-Geometry RG ≡ Light ray → v̅. [. f

̅

n + fn ] ≡ A Line-Vector ≡ v̅. f

̅

n

➢ The Material-Geometry MG ≡ Light ray → A Line-Vector in Energy-Caves, and a

Straight line to Infinite as the diagrams of the Stationary-Wave-crest-Wavelength λ.

[⊕←λ→⊝] →λ← [ ⊕← λ →⊝ ] ≡ v̅ [ f

̅

n + fn ] with Wavelength [v̅. f

̅

n ]→ [v̅ = c̅= λ f

Φ

]

[MG] [MG] [MG] → The Dual-nature of Light-Photon has the answer in [92] In this,

answer is left to the Reader → Markos Georgallides 25/9/2020 ←

It was proofed that for the Parallel Postulate issues, Point A ≡ ⊕, Point B ≡ ⊝, Point M ≡ 

Vector ⃗AB⃗⃗⃗⃗ ≡ [⊕→ λ →⊝]. For the Neutral  Unit-Vector issues,  ≡ [⊕-⊝] with the infinite

directions and this because from point M, pass infinite lines in Plane ABM and [⊕-⊝] ≡1→∞

It was proofed that the Parallel Postulate is dependent on the other four axioms (now is

proved and as a theorem from the other four). Since AB is common to ∞ Planes and only one

Plane is passing through Point M (Plane ABM from the three points A, B, M, then the Parallel

Postulate is valid for all Spaces which have this common Plane, as Spherical, n-dimensional

geometry Spaces. It was proved that it is a necessary logical consequence of the others

axioms, since agree also with the Properties of physical objects, d + 0 = d, d * 0 = 0, now is

possible to decide through mathematical reasoning, that the Geometry of the Physical

Universe is Euclidean. Since the essential difference between Euclidean Geometry and the two

non-Euclidean-Geometries, Spherical and Hyperbolic Geometry, is the nature of the Parallel

line, i.e. the Parallel Postulate so, < The consistent Systems of the -non-Euclidean Geometry -

have to decide the Direction of the existing mathematical logic >.

The above consistency Proof is Applicable to Any line Segment AB on line AB, (Segment AB is

the first dimensional Unit, as AB = 0 → ∞), from any Point M not on-line AB since [ MA+MB >

AB] for three Points only which consist the Plane. For a Point M between Points A, B is holding

MA+MB = AB i.e. from two Points M, A or M, B passes the only one-line AB. A line is also

continuous with Points, P, and discontinuous with Segment AB / n, which is the metric