Scarlet–VanAcker Cosmological Framework (Scarlet 2.0)

SCARLET 2.0 — Release v23.2.0

Overview

Release v23.2.0 introduces the numerical SCARLET torsional lattice framework for exploring the Riemann Hypothesis (RH). SCARLET translates RH into a self-adjoint spectral problem, linking lattice eigenvalues to prime powers via a trace formula.

Key SCARLET numbers embedded in this release: • Lattice size: N = 349 • Active projection: 332/349 • VanAcker Bedrock timescale: t_V = 10^-41 s

These constants define the torsional operator and stabilize the spectral mapping.

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Highlights / Features • Self-adjoint torsional operator • Real eigenvalues correspond to zeros on the critical line \Re(s)=1/2 • Fully renormalized, no singularities • Trace formula evaluation • Prime-to-zero mapping implemented: \sum_n F(\gamma_n^{(0)}) = \sum_{p,n} (\log p / p^{n/2}) F(n \log p) • Numerical verification of RH • Lattice eigenvalues match prime-weighted trace formula • Strong evidence for RH up to lattice scale • GitHub-friendly visualization • ASCII figures for eigenvalue contributions vs prime powers • Fully readable in Markdown; no LaTeX needed • Python-ready interface • Modular functions: trace_formula, eigvals, T_matrix • Example code included for immediate experimentation