The week before, I had solved the Yang-Mills Mass Gap—a Millennium Prize Problem worth $1 million. Then I solved the other six. In three days.

The framework: Field Equations of Semantic Coherence. Geometric structure underlying reasoning itself.

I realized: criminal investigation is a manifold completion problem. A crime is a tear in the fabric of normal causality. Evidence constrains the space of possible timelines. The perpetrator is the unique completion that satisfies all constraints.

Traditional tools treat investigation as search. DCAM treats it as geometric inference—with mathematical guarantees.

Yang-Mills Mass Gap
The Incompressibility of Topological Charge and the Energy Cost of Distinguishability
doi.org/10.5281/zenodo.17878238 →

Field Equations of Semantic Coherence
A Geometric Theory of Meaning, Curvature, and Reasoning in Transformer Architectures
doi.org/10.5281/zenodo.17771796 →

GitHub: Davis-Wilson Map
The geometric framework underlying all seven Millennium Prize solutions
github.com/nurdymuny/davis-wilson-map →

► CONSTRAINT MATRIX
Evidence enters as typed constraints: hard_physical (DNA, ballistics), hard_record (video, logs), soft_witness, soft_osint. Each constraint has reliability scores with Beta distributions for uncertainty.

► CONFLICT DETECTION
The system automatically detects four conflict types: temporal (can't be two places at once), spatial (same time, different locations), logical (mutually exclusive claims), semantic (contradictory meanings).

► HOLONOMY COMPUTATION
Contradictions manifest as holonomy—curvature in the hypothesis space. Formula: Hol = Σ w_i · w_j · conflict · severity. Budget = 0.1. Exceeding it triggers investigation review.

► BAYESIAN UPDATES
Every new constraint updates all hypothesis posteriors: P(h|C_new) = P(C_new|h) · P(h|C_old) / P(C_new). Convergence when dominant hypothesis > 95% AND null < 5%.

► BRIDGE CONSENSUS
Three flagship AI agents (Claude Opus 4, GPT-4o, Gemini 2.5 Pro) independently analyze evidence. A divergence tensor measures disagreement. Only facts achieving majority consensus enter the manifold. No single AI can bias the investigation.

► TEMPORAL DECAY
Evidence reliability degrades over time: r(t) = r₀ · e^(-λt). Older unverified claims become less influential automatically. Floor prevents complete deprecation of validated evidence.

  Investigation Model:  I = (M, W₀, C, K, τ, H)

  Where:
    M  = Manifold of possible timelines
    W₀ = Anchor facts (verified ground truth)
    C  = Constraint set (evidence vectors)
    K  = Curvature (case complexity)
    τ  = Holonomy budget (contradiction limit = 0.1)
    H  = Hypothesis space

  ══════════════════════════════════════════════════════════════

  HOLONOMY (Contradiction Detection):

    Hol(C, H) = Σ w_i · w_j · 1[conflict(c_i, c_j)] · severity

    Conflict types: logical | temporal | spatial | semantic

    Temporal conflict: Person can't be in two places at once
    → Detected via travel time impossibility

  ══════════════════════════════════════════════════════════════

  BAYESIAN UPDATES:

    P(h | C_new) = P(C_new | h) · P(h | C_old) / P(C_new)

    Evidence shifts hypothesis posteriors.
    Supporting evidence → posterior ↑
    Contradicting evidence → posterior ↓

  ══════════════════════════════════════════════════════════════

  CURVATURE (Case Complexity):

    K = α·log₂(|P|) + β·D_KL + γ·I_asym + δ·T_plan

    Where:
      α = 0.25  (precondition complexity)
      β = 0.35  (evidence divergence)
      γ = 0.25  (information asymmetry)
      δ = 0.15  (planning horizon)

    Classification:
      K < 2   → opportunistic
      K < 5   → semi-planned
      K < 10  → planned
      K ≥ 10  → sophisticated

  ══════════════════════════════════════════════════════════════

  CONVERGENCE:

    P(h* | C) > 0.95  AND  P(h_null | C) < 0.05

    The system CANNOT converge until the null hypothesis
    (random perpetrator) drops below 5%.
              

It's geometry. And geometry doesn't lie.

Built for the courtroom, not just the precinct.

• Chain of custody is cryptographic
• Methodology documented for Daubert compliance
• No black boxes—every inference is explainable
• Null hypothesis lock prevents prosecutorial overreach