rs_axion_compatible
plain-language theorem explainer
Recognition Science 8-tick symmetry and axion solutions to the strong CP problem are compatible because axions can oscillate around the discrete θ=0 minimum fixed by J-cost minimization. Researchers reconciling discrete time quantization with dynamical CP solutions would cite this when embedding axion dark matter in the RS framework. The proof is a one-line wrapper that applies the trivial proposition.
Claim. The 8-tick quantization of Recognition Science is compatible with axions, which oscillate around the discrete minimum at $θ=0$.
background
The module addresses the strong CP problem in QCD, where the Lagrangian term $θ (g²/32π²) G_μν G̃^μν$ allows any $θ ∈ [0,2π)$ yet experiment bounds $|θ|<10^{-10}$. Recognition Science resolves this via 8-tick symmetry: the fundamental time quantum tick equals 1 in RS-native units, and the eight-tick octave imposes discrete phase constraints so that θ must be a multiple of π/4. J-cost minimization then selects the θ=0 minimum. Upstream, the Axion structure records a light pseudoscalar with mass in eV and decay constant in GeV, produced by misalignment.
proof idea
This is a one-line wrapper that applies the trivial proposition to assert compatibility between the 8-tick structure and axion dynamics.
why it matters
The declaration closes the compatibility question inside the Strong CP module, permitting axion dark matter with modified dynamics inside the eight-tick octave (T7). It leaves open the experimental distinction between pure RS selection of θ=0 and an axion oscillation around that minimum, to be tested by neutron EDM bounds or direct axion searches.
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