physical_light_after_spacetime
plain-language theorem explainer
Physical light follows spacetime in the pre-temporal forcing order. Workers on the Recognition Science dependency chain cite this result to place electromagnetic carriers after spacetime structure. The proof is a one-line wrapper that invokes the decidable instance of the Before relation on stages.
Claim. In the pre-temporal forcing order, spacetime precedes the light-cone stage: rank(spacetime) < rank(lightCone), where lightCone is the null boundary of spacetime.
background
The module records a forcing order on dependency stages that exist prior to physical time. The predicate Before a b holds precisely when rank a is strictly less than rank b; an instance of Decidable is supplied via Nat.decLt. Stages form an inductive chain from distinction through timeTick, with PhysicalLight defined as the lightCone constructor. This ordering sits inside the larger Recognition Science setup that derives physical constants and dimensions from the J-cost functional equation and the eight-tick octave.
proof idea
The declaration is a one-line wrapper that applies the decidable instance for Before on the concrete stages spacetime and lightCone.
why it matters
The result is referenced inside the PreTemporalOrderCert record, which assembles the full pre-temporal chain. It sharpens the module distinction that physical light is the first boundary of spacetime rather than a primitive pre-temporal object, consistent with the forcing sequence that places J-cost, arithmetic, and timeTick before light-cone structure.
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