Derivation of the lightspeed and FTL signals

Derivation of the lightspeed and FTL signals.docx (14,9 kB)

Derivation of the lightspeed and FTL signals
In this article I derive the lightspeed and the speed of FTL signals whit euclidean 4dimensional electromagnetism
In ordinary cases whit stationary transmitter
c2=1/(ϵ0μ0)    c=Em/Bm
Em=∫(ρ0max/ ϵ0)ds=(1/ ϵ0)∫(d3Qmax/(dr1dr2ds))ds=(1/ ϵ0)(d2Qmax/(dr1dr2))
Bm=μ0∫jmaxdr1= μ0∫(d2Imax/(dr1dr2))dr1=μ0dImax/dr2= μ0(d2Qmax/(dr2dT))
ρ0= d3Qmax/(dr1dr2ds)      j= d2Imax/(dr1dr2) 
where Em is the maximum value of the alternating electric field Bm is the maximum value of the alternating magnetic field Qmax is the maximum value of the charge and Imax is the maximum value of the current.
Em/ Bm=(1/ ϵ0)(d2Qmax/(dr1dr2))/ μ0(d2Qmax/(dr2dT))= 1/(ϵ0μ0)dT/dr1=c2dT/dr1    but  c=Em/Bm  so  c= c2dT/dr1    which means that  dr1/dT=c  
dr1 dr2 and ds are three independent (perpendicular) directions ds is also current direction in the antenna.
For rotating transmittor fields the lightspeed becomes
c’=dr1/dt= dr1/(dT√(1-v2/c2))=c/(√(1-v2/c2)) where v is the rotational velocity.
And for rotating and translating transmittor fields the lightspeed becomes
c’= dr’1/dt= dr1(√(1-v12/c2)/(dT√(1-(v1+v2)2/c2))=c(√(1-v12/c2)/( √(1-(v1+v2)2/c2)) where v1 is the translation velocity and v2 is the rotational velocity.
As you see is c’ often larger and sometimes smaller than c which corresponds whit the idea that it is possible to communicate whit any place in the 4space.

Derivation of the lightspeed and FTL signals.docx (14,9 kB)