An audited mathematical physics and geometric systems monograph program by Bradley Wallace (TensoRrent). The ACS Framework investigates the exact algebraic bridge between non-orientable Möbius spinor framing, Baker–Campbell–Hausdorff (BCH) commutator expansions on , and the Cartan–Palatini– gravitational action—governed by a strict four-tier epistemic ledger where falsified closures (T4) are preserved alongside machine-checked proofs (T1).
Inspect the three core geometric constructions in real time. Each viewport runs offline via vendored three@0.186.1 and degrades automatically to a SHA-256-verified vector diagram if WebGL is unavailable.
Transporting an orthonormal triad around a midline with odd half-turns () induces holonomy . Setting recovers the orientable cylindrical control (), proving that spinor sign inversion is a topological invariant of the bundle.
Eliminating the auxiliary Cartan torsion sectors via the exact determinant maps the gravitational sector onto an Einstein-frame plateau. During radiation domination, the 1-loop gauge trace anomaly drives trajectories onto the universal attractor.
Completed zeta reflection symmetry enforces an exact involutive fixed seam along (T1). While the local surrogate discriminant exhibits numerical sign-trough valleys near low-lying zeros (T3), extending it to a global RH proof is formally falsified (T4).
Every core equation in the ACS Trilogy is paired with its exact verification tier and explicit physical or algebraic boundary conditions.
Establishes the 68-coordinate complete scalar action, identifies the 6 neutral-family blind quartic directions, and codifies the condensate carrier boundary separating classical binding from physical particle identification.
Establishes the BCH–TE transfer-entropy morphism, evaluates the 5+3 closure attractor, proves from order-3 Jacobi truncation, and isolates the normalization-invariant Yukawa ratio .
Proves that the Riemann Hypothesis implies uniform stationarity of with as the unique pure-rotation center manifold, and proves that the Wronskian fails the Leibniz Poisson rule by .
Applies GUE-marginal surrogate shuffling across 100,000 Odlyzko zeros (seed 20260423), isolating exactly two robust FUNCTION witnesses (Arithmetic , Local-order ) and resolving the Hilbert–Pólya symmetry class.
Proves Killing orthogonality (algebraic non-traversability from bracket output back to input) and falsifies universal holonomy inversion on via its hyperbolic adjoint spectrum.
Verifies Călugăreanu invariance to machine precision across donut-to-throat deformation and parity , while refuting the geometric moment-ratio conjecture (T4).
Filter the canonical claims and documented falsifications across the ACS corpus. Tier T4 entries record hypotheses that were explicitly tested and refuted during adversarial verification.
Every manuscript in papers/catalog.json is compiled and served directly from this repository alongside its complete LaTeX source (.tex).
From early spectral explorations and explicit T4 pruning to the 516-hash cryptographic receipt ledger and self-contained documentary build.
Transparent disclosure of sole human authorship, neurodivergent accessibility workflows, and multi-agent adversarial verification.
The Asymptotic Compatibility Synthesis (ACS) Framework is conceived, directed, and authored by Bradley Wallace (Independent Researcher, TensoRrent) across 5,000–6,000 hours of solo research.
As a neurodivergent researcher (dyslexia/ADHD and writing accessibility constraints), Wallace developed a voice-directed cognitive-accessibility workflow to translate high-dimensional geometric intuition into rigorous LaTeX monographs and executable verification suites without sacrificing mathematical precision.
Large language models and symbolic/numerical compute harnesses are used strictly as an assistive transcription and adversarial falsification layer—termed the Analog Mixture-of-Experts (Analog MoE) workflow.
Every candidate identity is subjected to independent symbolic scripts, numerical stress tests, and strip-mine falsification passes (such as Q1–Q7 and the uniform-loop proof). Hypotheses that fail are permanently recorded in the Tier T4 Elimination Ledger.
All manuscripts, verification scripts, and interactive visualizations in this repository are released under the Sovereign Integrity Protocol (SIP) License v1.1 (LICENSE).
Academic and scientific inspection, citation, and verification are encouraged provided that full attribution to Bradley Wallace (TensoRrent), cryptographic provenance manifests, and the T1–T4 epistemic tier classifications are preserved intact.