merge: integrate nodal foundations research and audit [skip release]

Integrate the accumulated regional and nodal foundations research, grammar
evidence, diagnostic corrections and unified documentation, followed by
scoped formatting and preserved physics-facade initialization order.

Validation: 2,233 tests pass across 83 modules in a clean detached checkout;
one retained-data test skips because its ignored historical input is absent.
The 126-file Black/isort scope and cold import checks pass. The prior audit
separately records 831 passing targeted tests and preserved historical evidence.

The full default suite was attempted but stopped during costly existing
runtime-signature checks; complete-suite success is not claimed. Repository-wide
lint has a verified baseline backlog. No physical-emergence or autonomous-law
claim is added by this integration. Publish the repository changes only.

Author: TNFR AI Agent

.github/agents/my-agent.md

@@ -75,8 +75,8 @@ The public structural-field tetrad is `(Phi_s, |grad phi|, K_phi, xi_C)`.
 | --- | --- | --- |
 | `Phi_s` | Global pressure aggregation | General magnitude depends on pressure and graph geometry; `pi/4` and `pi/2` are selected warning policies |
 | `grad phi` | Local phase stress | Mean absolute wrapped phase difference across neighboring nodes; exact bound `pi`, with `pi/16` as the selected warning threshold |
-| `K_phi` | Local wrapped phase curvature | Exact wrapped magnitude bound `pi`; `0.9*pi` is a warning margin |
-| `xi_C` | Non-local correlation range | Spectral estimate scales as `1/sqrt(lambda_2)` under its documented hypotheses |
+| `K_phi` | Local wrapped phase curvature | Where defined, wrapped magnitude is at most `pi`; undefined represented resultants are explicit, and `0.9*pi` is a warning margin |
+| `xi_C` | Non-local correlation range | Static coherence-product fit over metric distances, with a separately identified spectral fallback `1/sqrt(lambda_2)` under its hypotheses |
 
 `Phi_s` uses explicit edge `length` for path geometry when available; otherwise
 it retains `weight` as a compatibility fallback. EPI diffusion always reads
@@ -100,11 +100,45 @@ Operators modify four nodal channels:
 
 The authoritative contracts live in
 [`operator_contracts.py`](src/tnfr/operators/operator_contracts.py). Grammar
-classifications are derived in
+role classifications are declared centrally in
 [`physics_derivation.py`](src/tnfr/config/physics_derivation.py), materialized in
 [`grammar_canon.py`](src/tnfr/operators/grammar_canon.py), and exposed through
 [`grammar.py`](src/tnfr/operators/grammar.py).
 
+Grammar admission, configured selection and derived trajectory evidence are
+separate. The [rule basis registry](src/tnfr/operators/grammar_canon.py)
+exposes identities, conditional theorems, contracts and policies. An explicit
+`compatibility_profile="core"` omits legacy pair/THOL word preferences while
+retaining canonical word contracts; graph setting
+`GRAMMAR_REJECTION_MODE="raise"` prevents grammar fallback substitutions.
+Neither option derives autonomous selection or waives live operator checks.
+The [structural evidence adapter](src/tnfr/operators/grammar_evidence.py)
+reads exact represented-EPI gains from sealed finite executions; it does not
+certify full tetrad dynamics or future stability. The
+[joint nodal/grammar review](theory/DIAGNOSTIC_AND_GRAMMAR_SCOPE.md#13-structural-grammar-refactor-and-the-full-nodal-system)
+states the remaining derivation obligations.
+
+The [foundation review](theory/FUNDAMENTAL_THEORY.md#24-physical-concepts-mathematical-types-and-implementation)
+distinguishes structural form from its scalar representation, specifies the
+pressure's type and units, and audits the original definitions. Existing
+code and historical formulas are tested realizations, not assumptions that
+uniquely determine the missing phase, capacity or geometry laws.
+The [all-parameter audit](theory/NODAL_PARAMETER_FOUNDATIONS.md) connects these
+bases to phase, clocks, conductance, metric distance, the whole tetrad, memory
+and operators. It derives restricted diffusion and unit-covariance constraints,
+and separates exact identities from configurable coefficients and diagnostics.
+The signed complex observation `EPI*exp(i*phase)` loses information needed by
+the current pressure law; its scoped counterexample is documented there.
+Capacity-rate telemetry uses recorded sample times and explicit availability.
+Circular curvature likewise exposes represented-resultant evidence and rejects
+undefined numeric directions instead of inventing an arithmetic phase mean.
+Field readers validate authoritative numeric inputs before cache lookup and
+return detached maps. Safe telemetry emission preserves available fields
+when another field is undefined, with explicit error information.
+The [joint-response identity](theory/NODAL_PARAMETER_FOUNDATIONS.md#10-joint-pressure-response-and-the-capacity-product-rule)
+separates phase/capacity source compensation from the additional capacity
+contribution to EPI acceleration; compatible motion does not select its law.
+
 The operator registry is the canonical semantic interface for named
 transformations. Declared numerical solvers may advance EPI only through the
 shared nodal-equation integrator from explicit `nu_f` and `DeltaNFR`, with