iSoul In the beginning is reality.

Parallel Relativity Equations

See pdf here.

Space with Time

Measure of motion Time velocity: vt = ds/dt ∼ ℓ−1
Space velocity:  vs ⇐ ℓ−1 = (dt/ds)−1
Mean velocity Time mean velocity (Σ vi/n) Space mean velocity (Σ ℓi/n)−1
Normalized velocity β = v/c ∼ (ℓ/k)−1 β ⇐ (ℓ/k)−1 ∼ (v/c)
Conversion & Lorentz factors | Time-length matrix

ct = x;      γ = 1/√(1 ‒ β²)

See pdf
Galilean transformations See pdf See pdf
Normalized GTs See pdf See pdf
Standard GTs See pdf See pdf
Lorentz transformation See pdf
Normalized LT See pdf
Symmetric LT See pdf

 

Time with Space

Measure of motion

Space lentcity s = dt/ds ∼ v−1

Time lenticity t ⇐ v−1 = (ds/dt)−1

Mean lenticity

Space mean lenticity (Σ ℓi/n)

Time mean lenticityvi/n)−1

Normalized lenticity 1/β = ℓ/k = 1/(v/c) 1/β = 1/(v/c) ∼ ℓ/k
Conversion & Lorentz factors | Length-time matrix kx = t;      −βγ = 1/√(1 ‒ 1/β²) See pdf
Galilean transformations See pdf See pdf
Normalized GTs See pdf See pdf
Standard GTs See pdf See pdf
Lorentz transformation See pdf
Standard LT See pdf
Normalized LT See pdf
Symmetric LT See pdf