Scale Invariance
Framework ClaimSynchronism claims that γ = 2/√Ncorr applies at every scale from Planck length (10−35 m) to the observable universe (1026 m) — 80 orders of magnitude.
γ Across Scales
The Interesting Part: Stars Have γ = 2
Stars in a galaxy are uncorrelated classical particles (each star moves independently, Ncorr = 1). So γ = 2. This is the same γ as a single electron.
This doesn't mean galaxies are quantum. It means the statistical structure of a galaxy (individual particles in a potential) resembles the statistical structure of quantum systems. Whether this is deep or coincidental is an open question.
Honest Limitation
The fractal coherence bridge hypothesis — that C(ρ) explains WHY scale hierarchy boundaries exist — was tested in 36 tests. Result: C(ρ) is a classification tool (what regime is this?), not an explanation (why this boundary here?). The tanh form is generic (Landau theory), and decoherence governs the quantum-classical boundary, which C(ρ) has no parameter for.