iSoul In the beginning is reality.

Parallel Relativity Equations

See pdf here.

Parallel Relativity Equations

Space with Time Time with Space
Rate of change Time speed: v = ds/dt Space pace: ℓ = dt/ds
Mean rate of change Time mean speed (TMS) Space mean pace (SMP)
Extreme rate of change c = 1/k k = 1/c
Normalized rate of change β = v/c = (ℓ/k)¯¹ β¯¹ = ℓ/k = (v/c)¯¹
Lorentz factor γ = 1/√(1 ‒ β ²) βγ = 1/√(1 ‒ β ¯²)
Length-time transformation See pdf See pdf
Galilean transformation See pdf See pdf
Lorentz transformation See pdf See pdf
Symmetric GT See pdf See pdf
Symmetric LT See pdf See pdf

 

 

Transposed Time with Space Transposed Space with Time
Rate of change Space speed Time pace
Mean rate of change Space mean speed (SMS) Time mean pace (TMP)
Extreme rate of change k = 1/c c = 1/k
Normalized rate of change β = (ℓ/k)¯¹ = v/c β¯¹ = (v/c)¯¹ = ℓ/k
Lorentz factor βγ = 1/√(1 ‒ β ¯²) γ = 1/√(1 ‒ β ²)
Galilean transformation See pdf See pdf
Lorentz transformation See pdf See pdf
Symmetric GT See pdf See pdf
Symmetric LT See pdf See pdf