consciousness_hypothesis
plain-language theorem explainer
The definition supplies a concrete instance of the ConsciousnessHypothesis structure by wiring the proved barrier certificate into its barrier field. Researchers examining the Gap-45 non-alignment would cite it when moving from the coprimality and beat-frequency theorems to the claim that experiential navigation is required. The construction is a direct one-line wrapper that reuses barrier_cert.
Claim. The consciousness hypothesis is the structure whose barrier component is the certificate asserting coprimality of 8 and 45, primality of the beat frequency 37, and insufficiency of any window shorter than 360 ticks, together with the claim that navigation of the 8/45 barrier requires experiential processing because no finite sub-period resolves both constraints simultaneously.
background
The Gap-45 Recognition Barrier module starts from the coprimality gcd(8,45)=1. This forces any finite decision procedure to encounter incompatible demands between the 8-tick cycle and the 45-fold phase structure. The barrier_cert definition assembles four proved facts: coprime_barrier, beat_is_prime, beat_fraction_irreducible, and window_insufficient, plus the minimal resolution window result.
proof idea
The definition is a one-line wrapper that directly supplies the barrier field with the value of barrier_cert.
why it matters
This definition turns the proved barrier theorems into an explicit hypothesis that experiential navigation is forced by the 8/45 incompatibility. It occupies the final step of the module, linking the mathematical core (coprime, beat prime, window insufficiency) to the phenomenological claim. The module documentation labels the barrier facts as theorems and the consciousness emergence as the remaining hypothesis.
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