Example 7​Introduction to Black Holes in Quantum Light Theory.
Quantization within Black Holes (Geons)​​Quantization of Gravitational Fields has been determined by the source of the Gravitational Waves. Black Holes (GEONs) emit Gravitational Waves in discrete quanta during the transition of the Black Hole (GEON) into a lower energy state. For this reason Gravitational Waves emitted by Black Holes (GEONs) are always quantified. Gravitational Waves emitted by Black Hole (GEONs) are always accompanied by quantified bursts of Electromagnetic Energy. ​Gravitational Waves generated by the displacement of massive objects are not quantified and are not accompanied by the quantified bursts of Electromagnetic Energy.​The speed of light (“c”) remains constant when a beam of light leaves a Black Hole or approaches a Black Hole in the direction of the gravitational field generated by the Black Hole. For this reason Electromagnetic Energy can only leave the Black Hole in the directions of the Gravitational Field. In other directions the Electromagnetic radiation will always remain captured by the Back Hole.​The confinement of Electromagnetic Radiation and any other kind of matter within Black Holes (GEONs) [1] is possible by “Gravitational Electromagnetic Interaction”. The energy within a Black Hole is a combination of Gravitational, Electric and Magnetic Energy. ​In general quantization has been determined by the match of a wavelength on a 3-dimensional geometry. Because only an integer number (Natural Number) of wavelengths matches the 3-dimensional geometry. The quantization of Electromagnetic Radiation is only possible when the electromagnetic wave has been confined due to its own gravitational field and the wavelength has to match a 3-dimensional geometry. This is possible when light “confines” itself in a 3-dimensional stable geometry due to its own gravitational field. According John Archibald Wheeler’s “GEON’s [Ref. 1] (Gravitational Electromagnetic Entities) and Einstein’s relationship (W = m c2 ) every “confined” energy results in inertia. Inertia results in mechanical mass and mechanical mass results in a gravitational field.​To realize “quantization of light”, stable configurations have to be found of confined electromagnetic radiation in which the wavelength of the confined electromagnetic energy matches in Natural Numbers the 3-dimensional geometry of the confinement. ​[1] Wheeler; John Archibald; GEONs, Physical Review Journals Archive, 97, 511, Issue 2, pages 511-526, Published 15 January 1955, Publisher: American Physical Scociety, DOI: 10.1103/PhysRev.97.511:​​
In[]:=
Out[]=
Theconceptof'GEONs'(GravitationalElectromagneticEntities)hasbeenintoducedbyJohnArchibaldWheelerin1955.​​​​Book:
RisingoftheJamesWebbSpaceTelescopeanditsFundamentalBlindnes:
Page47,Equation(73)​​​​TheinputfortheElectricFieldIntensity{E(x,y,z,)=ev}andtheMagneticFieldIntensity{H(x,y,z,)=mv}havebeensubstitutedintheFieldEquationfortheElectromagneticFieldwithinaconstantgravitationalfield​​withaccelleration'g'inthe'r'-direction.(BookEquation73,page47).Whichcanbewrittenin:​​​​Asetof6terms​​​​
​​​​​​​​term1=-
1
2
c
∂
¯
E
×
¯
Η

∂t
​​​​term2=
ε
0
¯
E
(∇. 
¯
E
)​​​​term3=−
ε
0
¯
E
×(∇×
¯
E
)​​​​term4=
μ
0
¯
Η
∇. 
¯
Η
​​​​term5=−
μ
0
¯
Η
×∇×
¯
Η
​​​​
​​​​term6=-
1
2

2
ε
μ
¯
E
 . 
¯
E

+
ε
2
 μ

¯
H
 . 
¯
H

¯
g
​​​​The"Electromagnetic-Gravitational Confinement" Equationequals:​​​​term1+term2+term3+term4+term5+term6=0
Results force densities in resp r-direction, θ-direction, φ-direction