Gravity Propagation Speed C Grav Rs

Gravity's speed in the ledger

The speed of light in a vacuum, c, is one of physics' most precisely measured constants, at 299,792,458 meters per second. A central question in modern physics asks whether gravity propagates at this same speed. The 2017 detection of a neutron star merger, GW170817, measured the two speeds to be equal to within one part in 10¹⁵, a striking empirical result. The Recognition Science framework addresses this question from its own foundational starting point.

Recognition Science begins with the idea that reality keeps a ledger, a discrete record of events, and that the cost of recording each event is forced by a small set of logical conditions. From this starting point, the framework derives a chain of results about the structure of space and time. Within this framework, both light and gravity propagate on the same substrate, the ledger itself. There is no separate "gravitational medium" with its own tick rate.

In Recognition Science, the framework defines the speed of light in its native units as c_RS = 1, meaning one ledger cell per tick. The declaration c_grav_RS, also defined as 1, states that gravity's propagation speed in these same units is identical. The framework's library proves this equality as a structural theorem: c_grav_RS = c_RS. The proof is a direct consequence of the definitions, reflecting the framework's claim that both phenomena share the same underlying substrate.

The framework's statement is not a prediction of a new empirical result. It is a definitional consequence of its model. The equality c_grav = c is built into the framework's structure, not derived from a deeper principle. The framework does not claim to explain the physical mechanism by which gravity propagates, nor does it claim to derive the specific value of c in conventional units. It asserts that, within its model, the ratio of the two speeds is exactly one.

/-- In RS-native units: speed of light c = 1 (ledger cells per tick). -/
def c_RS : ℝ := 1

/-- Gravitational "signal" speed in RS-native units.
    Same as c: both use the ledger as substrate. -/
def c_grav_RS : ℝ := 1

/-- **G-007 Structural**: In RS-native units, gravity and light have the same
    propagation speed (both = 1). The ledger is the single substrate;
    there is no separate "gravitational medium" with different tick rate.

    GW170817 confirmed c_grav = c to 10⁻¹⁵. RS predicts exact equality. -/
theorem c_grav_eq_c_RS : c_grav_RS = c_RS := rfl

What this page does not claim

The framework does not derive the numerical value of the speed of light in meters per second. The framework does not explain the physical mechanism of gravitational propagation. The equality c_grav = c is a definitional consequence within the model, not an empirical prediction.

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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