c
The declaration assigns the exact SI value 299792458 to the speed of light in meters per second. Researchers needing numeric CODATA references for comparisons would cite this definition. It is implemented as a direct noncomputable assignment in the reals with no further computation.
claimThe speed of light is defined as the exact SI value $c = 299792458$ in meters per second.
background
The module quarantines empirical SI/CODATA constants from the certified surface so that the main certificate chain never depends on these numeric values. The speed of light is supplied here solely for explicit numeric comparisons or reports. It depends on the upstream definition of a constant scalar field, which constructs a ScalarField whose wave function is constantly equal to the supplied real value.
proof idea
Direct definition that assigns the integer literal 299792458 to the real number c.
why it matters in Recognition Science
It supplies the conventional SI value for empirical checks while the Recognition Science derivations operate in native units where c equals 1. The module documentation states that the top-level certificate chain and its import closure must remain independent of these constants. No downstream declarations currently reference it.
scope and limits
- Does not participate in any certified proof chain.
- Does not derive from the forcing chain or Recognition Composition Law.
- Does not relate to the phi-ladder, J-cost, or Berry threshold.
formal statement (Lean)
27@[simp] noncomputable def c : ℝ := 299792458
proof body
Definition body.
28
29/-- Reduced Planck constant (CODATA 2018). -/