Gravity Propagation Speed

Gravity propagation speed

Gravity propagation speed in Recognition Science is the rate at which a gravitational signal advances across the ledger, the single substrate that records recognition events. In RS-native units this speed is exactly 1, meaning one ledger cell per tick. The same unit value applies to the speed of light. The equality is structural: there is no separate gravitational medium with its own tick rate. Both signals move on the same ledger, so both obey the same speed limit.

The module PropagationSpeed formalizes this claim. It defines the speed of light c_RS as 1 and the gravitational speed c_grav_RS as 1. A theorem proves c_grav_RS = c_RS by definition, and a second theorem shows that when both speeds are defined from the same tick rate, their ratio is 1. A general theorem states that whenever two speeds are equal and the reference speed is nonzero, the ratio is 1. These are formal statements, not empirical fits.

The empirical check is the event GW170817, which measured the gravitational and electromagnetic arrival times from a neutron star merger. That measurement confirmed c_grav = c to within 10⁻¹⁵. Recognition Science predicts exact equality, which is stronger than the measurement's resolution. The prediction follows from the ledger being the single substrate, not from any fitted parameter.

THEOREM c_grav_eq_c_RS · speed_ratio_unity · IndisputableMonolith/Gravity/PropagationSpeed.lean

MEASURED propagation_equality_forced · IndisputableMonolith/Gravity/PropagationSpeed.lean

What this page does not claim

Does not claim the speed equality is empirically proven to exact equality. Does not claim a derivation of the numerical value of c in conventional units. Does not claim gravity and light interact through the same mechanism.

Verify this page

Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:

$ lake env lean IndisputableMonolith/Gravity/PropagationSpeed.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

A page whose claims cannot be reproduced this way does not ship. In production, every anchor links to the exact declaration in the public source release, and this block carries the build receipt for the page itself.

Derived articles

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