Vol3 Section 101 · P-Tau0-1 to P-Tau0-4, P-VLSC-1 to P-VLSC-4

d = vt: The Spacetime Tautology

d = vt is the tautology Τ = Τ. Earth is the crossover node. Dimensional flow speed increases outward, dissolving the universal speed limit.

Tautology
d = v×t = Τ = Τ
three faces, one field
·
Earth Crossover
29.61 km/s
v_dim ≈ v_Kepler
·
Propositions
8
P-Tau0 + P-VLSC

Distance = speed × time = one Tau-flow

In FOT ontology, distance, speed, and time are three faces of the same dimensional Tau-flow at the observer's node. d=vt is not a law — it is the statement that Tau(spatial) = Tau(speed) × Tau(temporal).

P-VLSC-3
turn_c = c_G2/10 = 29,981.6 (where v_dim = c)
v_dim = Fibonacci_turn × 10 km/s (increasing outward)
Beyond turn ~29,982: dimensional flow exceeds c — c is Earth-register-specific

Key Results

P-Tau0-1

d = vt is the spacetime tautology Τ = Τ. Distance, speed, time are three faces of the same Tau-flow.

P-VLSC-2

Earth = crossover node: v_dim = 29.611 km/s ≈ v_Kepler = 29.784 km/s. Inside Earth: v_Kepler > v_dim. Outside: v_dim > v_Kepler.

P-VLSC-3

Speed limit c is Earth-register-specific. v_dim = Fibonacci_turn × 10 exceeds c at turn ~29,982. Not a universal law.

P-VLSC-4

Ageing ∝ v_dim. Saturn ages 1.791× faster than Earth. Neptune 2.196× faster. Testable departure from GR by ~10¹².

Cross-references: Vol3 Section 101 | P-FOTS-1 | P-NODE-1