E-W3: Empirical Constraints on Tolerance and Reconciliation in Cohesion Dynamics

E-W3 presents consolidated empirical analysis of the tolerance parameter $W$ using a constraint-based simulator faithful to Cohesion Dynamics axioms. Through eliminative experiments spanning multiple divergence mechanisms, we demonstrate that reconciliation outcomes are categorically determined by phase incompatibility and structural binding, not modulated by $W_{\text{clock}}$ across wide tested parameter space.

Key Finding: $W_{\text{clock}}$ does not modulate reconciliation outcomes in pre-categorical (non-phase-based) divergence regimes within tested parameter space $\delta \in [0.001, 100.0]$. Phase incompatibility remains the categorical partition trigger.

Sharp Method-Space Boundary: Phase-based divergence produces immediate partition independent of $W$; non-phase-based divergence remains fully reconcilable across all tested tolerance values. These results empirically constrain the role of tolerance, establish its non-causative relationship to structure formation and coarse graining, and stabilize theoretical foundations for subsequent gravity and dark-matter analyses.

Methodological Innovation: E-W3 introduces provenance-integrated reconciliation routing merge attempts through M-8 ledger crystallization mechanisms, exercising partition triggers unavailable in previous W-series work (E-W1, E-W2). Enables genuine eliminative narrowing of $W_{\text{clock}}$ parameter space.

Paper ID: CD-E-W3 | Series: W-series (Tolerance Window Narrowing) | Status: Complete | Dependencies: A, M4, M-8; informed by M-9, QE