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# Parallel Relativity Equations

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 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 ℓs = dt/ds ∼ v−1 Time lenticity ℓt ⇐ v−1 = (ds/dt)−1 Mean lenticity Space mean lenticity (Σ ℓi/n) Time mean lenticity (Σ vi/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