primitive_observer_before_physical_light
plain-language theorem explainer
The forcing order places the primitive observer stage ahead of the physical light stage. Researchers tracing the pre-temporal dependency chain in Recognition Science cite this when separating recognition interfaces from spacetime null boundaries. The proof reduces to a single decidable rank comparison via the Nat.decLt instance on Stage ranks.
Claim. The primitive observer stage precedes the physical light stage in the forcing order: $rank(PrimitiveObserver) < rank(PhysicalLight)$, where PrimitiveObserver denotes the recognitionInterface stage and PhysicalLight denotes the lightCone stage.
background
The Pre-Temporal Forcing Order module records logical dependencies that exist before physical time is forced. Stage A precedes stage B precisely when the dependency rank of A is strictly smaller than the rank of B. PrimitiveObserver is the recognitionInterface stage, the recognizer structure forced once recognition (rather than bare distinction) is active. PhysicalLight is the lightCone stage, the null boundary that appears only after J-cost, ticks, and spacetime have been introduced.
proof idea
The proof is a one-line wrapper that invokes the Decidable instance for Before, which reduces directly to Nat.decLt on the underlying natural-number ranks of the two stages.
why it matters
This result fixes the position of the recognition interface before the light cone in the pre-temporal order, reinforcing the module's separation of recognition-light from physical light. It supports the broader forcing chain (T0-T8) by confirming that observer-like structure is required prior to spacetime emergence. No downstream theorems are recorded yet, but the ordering contributes to the overall pre-temporal scaffolding before time and D=3 dimensions are forced.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.