Factorization as the Upper Bound of Reality: Exact Derivation of the Anti-Collision Identity and the 12,000-Year Solar Cycle from Ekpyrotic Brane Collisions

Derives ACI from ekpyrotic brane collisions in UFT-F, enforcing LIC via phase ϕ_u ≈ 0.0013. Sims (N=100k modes) show pre-collision divergence vs. post-collision boundedness, closing the axiomatic hierarchy: factorization bound → brane dynamics → ACI → stable reality. Predicts 12,000-year solar cycles with 6,000-year maxima, resolving astrophysical anomalies. Includes full code, outputs, and proofs linking to UFT-F's TNC, time arrow, and simulation proofs.

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