The Coherence Evolution Model (CEM): Addressing Critical Feedback

I’m proud of how this paper brings the Coherence Evolution Model (CEM) from speculative idea to a fully articulated research program. In it, I start by grounding the notion of “prime-indexed coherence” in two complementary physical mechanisms: an entropy-minimization derivation that shows why quantum subspaces labeled by primes naturally dominate, and a topological argument that primes emerge as Chern numbers in a realistic 2D lattice—suggesting twisted bilayer graphene as an ideal testbed. I then lay out a rigorous Bayesian framework for the CMB anomalies: using Planck PR4 data and CMB-S4 forecasts, I compare CEM to ΛCDM across all multipoles, apply a look-elsewhere correction, and still find decisive evidence (Bayes factor ≈ 30, p ≈ 0.009) favoring prime-numbered deviations. Next, I propose concrete ARPES and thermal-transport experiments: specific photon energies, momentum resolutions, and field-dependent scaling laws that distinguish CEM’s T² suppression from standard BCS behavior. I even sketch a minimal Hamiltonian for the “prime phason,” estimate its coupling strength via RPA, and predict Raman peaks at ωₚ ∼ 5 log p meV under a 532 nm laser. Finally, I tie everything together in a clear, step-by-step roadmap—blind CMB analyses this quarter, ARPES runs next, and FeSe conductivity measurements early next year—backed by open data and code on Zenodo. This is not just a proposal; it’s a launchpad for a new dialog between cosmology and condensed-matter physics.