IndisputableMonolith.Superhuman.SafetyInterlock
The SafetyInterlock module links coherence levels to J-cost in the superhuman power taxonomy, establishing structural constraints that tie lower recognition cost to higher coherence. Researchers formalizing RS-derived ethical limits on high-capability systems would cite it when checking interlocks against the 8-tick and 45-fold barriers. The module assembles imported definitions from Constants, Cost, Gap45.RecognitionBarrier, and Superhuman.Core into a foundational layer with no new theorems proved.
claimThe module defines safety interlocks via the relation coherenceLevel$(x) = f(1/J(x))$ where $J$ is the J-cost function, subject to the recognition barrier condition that no finite sub-period of the 8-tick cycle aligns with the 45-fold phase structure.
background
Recognition Science measures recognition effort through the J-cost function, which quantifies defect distance on the phi-ladder. The Superhuman.Core module supplies the power taxonomy that classifies 27 capabilities into five epistemic classes A-E according to RS mechanism type, distinguishing proved structural theorems from empirical hypotheses. Constants fixes the base time quantum as τ₀ = 1 tick. Gap45.RecognitionBarrier records that gcd(8,45)=1 implies no finite window of ticks can simultaneously satisfy the 8-tick octave constraint and the 45-fold phase demand, so any bounded decision procedure encounters incompatible action requirements.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the coherence-cost linkage that supports structural results in Superhuman.Core, including the claim that weaponization is structurally impossible. It fills the safety-interlock step required by the recognition barrier for any finite-horizon decision procedure operating on the 8-tick cycle. It touches the open question of how empirical power classifications are to be validated against the RS axioms.
scope and limits
- Does not classify any specific superhuman power.
- Does not derive new values for constants such as α or G.
- Does not supply falsifiers for the empirical hypotheses listed in Superhuman.Core.
- Does not address mechanisms outside the RS forcing chain.
depends on (5)
declarations in this module (11)
-
theorem
gap45_coprime -
theorem
gap45_lcm -
theorem
beat_fraction_irreducible -
theorem
beat_diff_prime -
theorem
sigma_nonzero_has_cost -
theorem
sigma_zero_optimal -
def
coherenceLevel -
theorem
coherenceLevel_pos -
theorem
max_coherence_at_balance -
theorem
power_ethics_same_axis -
theorem
weaponization_structurally_impossible