eightTickPeriod
plain-language theorem explainer
The eight-tick period defines a characteristic time scale as eight divided by the attempt frequency of order 10^{13} s^{-1}. Researchers deriving Arrhenius rates from the J-cost landscape would reference this to link vibrational periods to the eight-tick octave. The definition is introduced directly from the attempt frequency constant without further computation.
Claim. The eight-tick period is defined by $τ_8 = 8 / A$, where $A$ is the attempt frequency.
background
In the ActivationEnergy module, barriers arise from the J-cost landscape with the transition state at the J-maximum. The Arrhenius form emerges from Boltzmann statistics over this landscape, and barrier heights scale as E_coh · φ^n with E_coh = φ^{-5} ≈ 0.09 eV. The attempt frequency approximates 10^{13} s^{-1} from molecular vibrations, while tick denotes the fundamental RS time quantum equal to 1.
proof idea
This is a direct definition setting the period equal to eight divided by the attempt frequency constant. No lemmas or tactics are applied.
why it matters
This definition supplies the time scale used in the theorem attempt_freq_8tick that recovers the attempt frequency. It instantiates the eight-tick octave (T7) from the forcing chain, connecting chemical vibration timescales to the period-8 structure in the Recognition framework.
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