hbar
plain-language theorem explainer
The declaration defines the reduced Planck constant ħ in RS-native units as the product of coherence energy E_coh and fundamental tick duration τ₀. Researchers matching Recognition Science constants to quantum measurements would cite this when anchoring the phi-ladder to ħ. The definition is realized as a direct one-line multiplication of the locked lag constant by the tick duration.
Claim. Define the reduced Planck constant by $ħ = φ^{-5}$ in RS-native units where the coherence energy equals $φ^{-5}$ and the tick duration equals 1.
background
The Constants module sets the fundamental RS time quantum τ₀ to the duration of one tick. The referenced definition E_coh supplies the coherence energy as the locked lag constant C_lock = φ^{-5}. This combination produces ħ directly in units where c = 1. The upstream cLagLock result fixes the lag constant at φ^{-5} while the tau0 result fixes the tick at unity.
proof idea
This is a one-line definition that multiplies the coherence energy cLagLock by the tick duration tau0.
why it matters
This constant supplies the ħ anchor for the BridgeData structure and the downstream derivation of G = λ_rec² c³ / (π ħ). It realizes the framework assignment ħ = φ^{-5} that closes the loop from the forcing chain T5-T8 to observable constants. It is invoked in lemmas establishing the dimensionless identity for recognition length under physical positivity assumptions.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.