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- Update .gitignore with **/target/ for Rust build artifacts - Add eval receipts to UniversalBridge.lean (compile-time verification comments) - Add PCIe Idle-Cycle Compute Harvester to ROADMAP.md - Clean up deprecated scripts, generated Verilog, and old tools (23 deletions) - Stage new infrastructure: Xen/Alpine embedded surface, QFOX topology manager - Stage new probes: boundary activation field, holographic carving - Stage new applications: finance manager, script roots - Stage new research spec: PCIe idle-cycle substrate
672 lines
22 KiB
Python
672 lines
22 KiB
Python
#!/usr/bin/env python3
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"""Receipt-bearing probe for the boundary activation field B(x, r).
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A boundary is not where a system ends. A boundary is where accumulated encoded
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states become physically active. B(x, r) is the boundary activation field at
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location x and observer/interaction scale r.
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B(x, r) = f(del_rho, delta_lambda, eta, R_del, beta_k, E_deposit)
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where:
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del_rho = density gradient
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delta_lambda = hyper-eigen regime transition
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eta = medium coupling
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R_del = boundary residual / scar pressure
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beta_k = topology persistence
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E_deposit = cumulative deposited energy
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When the superposition of encoded regime components crosses the critical
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threshold, the boundary enters an active physical regime (fire, shock, plasma,
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fracture, turbulence, filamentation).
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"""
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from __future__ import annotations
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import hashlib
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import json
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from dataclasses import dataclass, field, asdict
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from datetime import datetime, timezone
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from pathlib import Path
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from typing import Any
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REPO = Path(__file__).resolve().parents[2]
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OUT_DIR = REPO / "shared-data" / "data" / "boundary_activation_field"
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REGISTRY = OUT_DIR / "boundary_activation_field_registry.json"
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RECEIPT = OUT_DIR / "boundary_activation_field_receipt.json"
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SUMMARY = OUT_DIR / "boundary_activation_field.md"
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TIDDLER = (
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REPO
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/ "6-Documentation"
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/ "tiddlywiki-local"
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/ "wiki"
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/ "tiddlers"
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/ "Boundary Activation Field.tid"
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)
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SOURCE_REFS = [
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REPO
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/ "0-Core-Formalism"
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/ "lean"
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/ "Semantics"
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/ "Semantics"
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/ "ThresholdVector.lean",
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REPO
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/ "0-Core-Formalism"
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/ "lean"
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/ "Semantics"
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/ "Semantics"
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/ "BoundaryDynamics.lean",
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REPO
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/ "shared-data"
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/ "data"
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/ "observer_chart_projection_guardrail"
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/ "observer_chart_projection_guardrail_receipt.json",
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]
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def stable_json(obj: Any) -> str:
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return json.dumps(obj, sort_keys=True, separators=(",", ":"), ensure_ascii=True)
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def sha256_bytes(data: bytes) -> str:
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return hashlib.sha256(data).hexdigest()
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def hash_obj(obj: Any) -> str:
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return sha256_bytes(stable_json(obj).encode("utf-8"))
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def rel(path: Path) -> str:
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try:
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return str(path.relative_to(REPO))
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except ValueError:
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return str(path)
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def file_hash(path: Path) -> str | None:
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return sha256_bytes(path.read_bytes()) if path.exists() else None
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def source_ref(path: Path) -> dict[str, Any]:
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return {"path": rel(path), "exists": path.exists(), "sha256": file_hash(path)}
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# ---------------------------------------------------------------------------
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# Domain types
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# ---------------------------------------------------------------------------
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@dataclass(frozen=True)
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class DensityGradient:
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"""nabla_rho — the density gradient at the boundary."""
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magnitude: float # [0, 1] normalized
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direction: str # "inward" | "outward" | "tangential"
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@dataclass(frozen=True)
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class HyperEigenTransition:
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"""delta_lambda — hyper-eigenvalue regime transition indicator."""
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spectral_drift: float # how far the dominant eigenmode has drifted [0, 1]
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regime_switch_active: bool
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@dataclass(frozen=True)
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class MediumCoupling:
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"""eta — how strongly the boundary couples to the surrounding medium."""
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coefficient: float # coupling coefficient [0, 1]
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atmosphere_participating: bool # does the medium carry away energy?
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@dataclass(frozen=True)
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class BoundaryResidual:
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"""R_del — accumulated residual / scar pressure at the boundary."""
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scar_pressure: float # accumulated scar energy density [0, 1]
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residual_growth_rate: float # how fast residuals are growing [0, 1]
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@dataclass(frozen=True)
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class TopologyPersistence:
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"""beta_k — topology persistence across scale changes."""
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betti_connected: int # number of connected components
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betti_loops: int # number of tunnels / loops
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betti_cavities: int # number of enclosed cavities
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persistence_ratio: float # fraction of topology that survives scale change [0, 1]
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@dataclass(frozen=True)
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class DepositedEnergy:
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"""E_deposit — cumulative energy deposited at the boundary."""
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total: float # total deposited energy [0, 1] normalized
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deposition_rate: float # rate of energy deposition [0, 1]
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@dataclass(frozen=True)
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class BoundaryActivationState:
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"""Complete set of encoded regime components at a boundary point."""
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density_gradient: DensityGradient
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hyper_eigen: HyperEigenTransition
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medium_coupling: MediumCoupling
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boundary_residual: BoundaryResidual
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topology: TopologyPersistence
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deposited_energy: DepositedEnergy
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# Observer / scale metadata
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location_label: str # human-readable location
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scale: float # observation scale in arbitrary units
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def component_vector(self) -> dict[str, float]:
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"""Extract the phi_i component vector for superposition computation."""
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return {
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"density_gradient": self.density_gradient.magnitude,
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"spectral_drift": self.hyper_eigen.spectral_drift,
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"coupling": self.medium_coupling.coefficient,
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"scar_pressure": self.boundary_residual.scar_pressure,
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"topology_persistence": self.topology.persistence_ratio,
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"deposited_energy": self.deposited_energy.total,
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}
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@dataclass(frozen=True)
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class ActivationWeights:
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"""Superposition weights for each encoded regime component."""
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density_gradient: float = 0.15
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spectral_drift: float = 0.20
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coupling: float = 0.25
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scar_pressure: float = 0.15
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topology_persistence: float = 0.10
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deposited_energy: float = 0.15
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def total_weight(self) -> float:
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return (
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self.density_gradient
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+ self.spectral_drift
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+ self.coupling
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+ self.scar_pressure
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+ self.topology_persistence
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+ self.deposited_energy
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)
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@dataclass(frozen=True)
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class ThresholdVector:
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"""Regime transition thresholds (analogue of Theta_i in the Lean model)."""
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density_gradient: float = 0.35 # gradient -> fracture
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spectral_drift: float = 0.50 # spectral -> mode switch
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coupling: float = 0.67 # coupling -> ignition
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scar_pressure: float = 0.50 # scar -> boundary instability
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topology_persistence: float = 0.33 # persistence -> percolation
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deposited_energy: float = 0.50 # energy -> thermal regime
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# ---------------------------------------------------------------------------
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# Boundary activation computation
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# ---------------------------------------------------------------------------
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def compute_total_activation(
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state: BoundaryActivationState,
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weights: ActivationWeights | None = None,
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) -> float:
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"""Compute B = sum alpha_i * phi_i, the total boundary activation.
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This is the superposition of encoded regime components. When B exceeds
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the critical threshold, the boundary enters an active physical regime.
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"""
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if weights is None:
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weights = ActivationWeights()
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phi = state.component_vector()
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total = (
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weights.density_gradient * phi["density_gradient"]
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+ weights.spectral_drift * phi["spectral_drift"]
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+ weights.coupling * phi["coupling"]
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+ weights.scar_pressure * phi["scar_pressure"]
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+ weights.topology_persistence * phi["topology_persistence"]
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+ weights.deposited_energy * phi["deposited_energy"]
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)
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# Normalize by total weight to keep B in [0, 1]
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norm = weights.total_weight()
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return total / norm if norm > 0 else 0.0
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CRITICAL_ACTIVATION_THRESHOLD = 0.5
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def is_critically_activated(total_activation: float) -> bool:
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"""Check whether B exceeds the critical threshold Theta_c."""
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return total_activation > CRITICAL_ACTIVATION_THRESHOLD
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def count_thresholds_crossed(
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state: BoundaryActivationState,
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thresholds: ThresholdVector | None = None,
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) -> dict[str, bool]:
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"""Determine which individual component thresholds are crossed."""
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if thresholds is None:
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thresholds = ThresholdVector()
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phi = state.component_vector()
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return {
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"density_gradient": phi["density_gradient"] > thresholds.density_gradient,
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"spectral_drift": phi["spectral_drift"] > thresholds.spectral_drift,
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"coupling": phi["coupling"] > thresholds.coupling,
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"scar_pressure": phi["scar_pressure"] > thresholds.scar_pressure,
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"topology_persistence": phi["topology_persistence"]
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> thresholds.topology_persistence,
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"deposited_energy": phi["deposited_energy"] > thresholds.deposited_energy,
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}
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def classify_boundary_activation(
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state: BoundaryActivationState,
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thresholds: ThresholdVector | None = None,
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weights: ActivationWeights | None = None,
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) -> str:
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"""Classify the boundary into an activation regime.
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Returns one of: latent, smooth, turbulent, percolating, switching,
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diverging, active, critical
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"""
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B = compute_total_activation(state, weights)
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if not is_critically_activated(B):
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return "latent"
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crossed = count_thresholds_crossed(state, thresholds)
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count = sum(1 for v in crossed.values() if v)
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if count >= 4:
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return "critical"
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elif count >= 3:
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return "active"
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elif crossed.get("deposited_energy", False):
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return "diverging"
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elif crossed.get("spectral_drift", False):
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return "switching"
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elif crossed.get("coupling", False):
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return "turbulent"
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elif crossed.get("topology_persistence", False):
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return "percolating"
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elif crossed.get("density_gradient", False):
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return "smooth"
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else:
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return "latent"
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# ---------------------------------------------------------------------------
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# Canonical scenario builders
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# ---------------------------------------------------------------------------
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def zero_activation_state(label: str = "void interior") -> BoundaryActivationState:
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return BoundaryActivationState(
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density_gradient=DensityGradient(0.0, "tangential"),
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hyper_eigen=HyperEigenTransition(0.0, False),
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medium_coupling=MediumCoupling(0.0, False),
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boundary_residual=BoundaryResidual(0.0, 0.0),
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topology=TopologyPersistence(0, 0, 0, 0.0),
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deposited_energy=DepositedEnergy(0.0, 0.0),
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location_label=label,
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scale=1.0,
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)
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def wall_fracture_scenario(label: str = "wall fracture") -> BoundaryActivationState:
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return BoundaryActivationState(
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density_gradient=DensityGradient(0.8, "outward"),
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hyper_eigen=HyperEigenTransition(0.2, False),
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medium_coupling=MediumCoupling(0.1, False),
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boundary_residual=BoundaryResidual(0.6, 0.4),
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topology=TopologyPersistence(3, 1, 0, 0.5),
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deposited_energy=DepositedEnergy(0.3, 0.7),
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location_label=label,
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scale=0.1,
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)
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def atmospheric_ignition_scenario(
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label: str = "atmospheric ignition",
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) -> BoundaryActivationState:
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return BoundaryActivationState(
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density_gradient=DensityGradient(0.9, "outward"),
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hyper_eigen=HyperEigenTransition(0.6, True),
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medium_coupling=MediumCoupling(0.9, True),
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boundary_residual=BoundaryResidual(0.4, 0.3),
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topology=TopologyPersistence(5, 2, 0, 0.7),
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deposited_energy=DepositedEnergy(0.8, 0.9),
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location_label=label,
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scale=0.05,
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)
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def cosmic_filament_scenario(
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label: str = "cosmic filament wall",
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) -> BoundaryActivationState:
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return BoundaryActivationState(
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density_gradient=DensityGradient(0.6, "inward"),
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hyper_eigen=HyperEigenTransition(0.4, False),
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medium_coupling=MediumCoupling(0.3, False),
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boundary_residual=BoundaryResidual(0.5, 0.2),
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topology=TopologyPersistence(200, 45, 12, 0.85),
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deposited_energy=DepositedEnergy(0.7, 0.05),
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location_label=label,
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scale=100.0,
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)
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def hulk_punch_scenario(
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label: str = "hulk punch fracture",
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) -> BoundaryActivationState:
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return BoundaryActivationState(
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density_gradient=DensityGradient(1.0, "outward"),
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hyper_eigen=HyperEigenTransition(0.7, True),
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medium_coupling=MediumCoupling(0.8, True),
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boundary_residual=BoundaryResidual(0.9, 0.9),
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topology=TopologyPersistence(50, 10, 3, 0.4),
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deposited_energy=DepositedEnergy(1.0, 1.0),
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location_label=label,
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scale=0.01,
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)
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# ---------------------------------------------------------------------------
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# Registry and receipt
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# ---------------------------------------------------------------------------
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def build_scenario_record(
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index: int,
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scenario_id: str,
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state: BoundaryActivationState,
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weights: ActivationWeights | None = None,
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thresholds: ThresholdVector | None = None,
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) -> dict[str, Any]:
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if weights is None:
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weights = ActivationWeights()
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if thresholds is None:
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thresholds = ThresholdVector()
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B = compute_total_activation(state, weights)
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verdict = classify_boundary_activation(state, thresholds, weights)
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crossed = count_thresholds_crossed(state, thresholds)
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record = {
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"index": index,
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"scenario_id": scenario_id,
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"location_label": state.location_label,
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"scale": state.scale,
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"component_vector": state.component_vector(),
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"weights": asdict(weights),
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"thresholds": asdict(thresholds),
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"total_activation_B": round(B, 6),
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"critical_threshold": CRITICAL_ACTIVATION_THRESHOLD,
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"is_critical": is_critically_activated(B),
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"thresholds_crossed": crossed,
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"thresholds_crossed_count": sum(1 for v in crossed.values() if v),
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"activation_verdict": verdict,
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"density_gradient": {
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"magnitude": state.density_gradient.magnitude,
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"direction": state.density_gradient.direction,
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},
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"hyper_eigen": {
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"spectral_drift": state.hyper_eigen.spectral_drift,
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"regime_switch_active": state.hyper_eigen.regime_switch_active,
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},
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"medium_coupling": {
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"coefficient": state.medium_coupling.coefficient,
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"atmosphere_participating": state.medium_coupling.atmosphere_participating,
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},
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"boundary_residual": {
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"scar_pressure": state.boundary_residual.scar_pressure,
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"residual_growth_rate": state.boundary_residual.residual_growth_rate,
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},
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"topology": {
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"betti_connected": state.topology.betti_connected,
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"betti_loops": state.topology.betti_loops,
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"betti_cavities": state.topology.betti_cavities,
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"persistence_ratio": state.topology.persistence_ratio,
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},
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"deposited_energy": {
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"total": state.deposited_energy.total,
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"deposition_rate": state.deposited_energy.deposition_rate,
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},
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}
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record["record_hash"] = hash_obj({k: v for k, v in record.items() if k != "record_hash"})
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return record
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_DEFAULT_WEIGHTS = ActivationWeights()
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_DEFAULT_THRESHOLDS = ThresholdVector()
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SCENARIOS: list[tuple[str, BoundaryActivationState]] = [
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("zero_activation", zero_activation_state()),
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("wall_fracture", wall_fracture_scenario()),
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("atmospheric_ignition", atmospheric_ignition_scenario()),
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("cosmic_filament", cosmic_filament_scenario()),
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("hulk_punch", hulk_punch_scenario()),
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]
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def build_registry() -> dict[str, Any]:
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scenario_records = [
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build_scenario_record(
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i,
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sid,
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state,
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_DEFAULT_WEIGHTS,
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_DEFAULT_THRESHOLDS,
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)
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for i, (sid, state) in enumerate(SCENARIOS)
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]
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return {
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"schema": "boundary_activation_field_registry_v1",
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"source_refs": [source_ref(path) for path in SOURCE_REFS],
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"claim_boundary": (
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"Boundary activation field B(x, r) model only. Classifies boundary "
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"regimes based on the weighted superposition of six encoded regime "
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"components: density gradient, hyper-eigen spectral drift, medium "
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"coupling, scar pressure, topology persistence, and deposited "
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"energy. Does not claim full cosmological or material-science "
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"predictive power without calibration to domain-specific data."
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),
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"canonical_statement": (
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"A boundary is not where a system ends. A boundary is where "
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"accumulated encoded states become physically active."
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),
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"superposition_equation": "B(x, r) = sum_i alpha_i * phi_i(x, r)",
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"critical_condition": "B > Theta_c => boundary enters active physical regime",
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"critical_threshold": CRITICAL_ACTIVATION_THRESHOLD,
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"default_weights": asdict(_DEFAULT_WEIGHTS),
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"default_thresholds": asdict(_DEFAULT_THRESHOLDS),
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"regime_map": {
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"latent": "no threshold crossed, boundary inactive",
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"smooth": "density gradient regime, elastic/smooth transition",
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"turbulent": "coupling regime, atmospheric ignition boundary",
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"percolating": "topology regime, filament/web connectivity",
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"switching": "spectral regime, eigenmode transition",
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"diverging": "energy regime, thermal/divergence front",
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"active": "3+ thresholds crossed, full boundary activation",
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"critical": "4+ thresholds crossed, topology-tear regime",
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},
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"scenarios": scenario_records,
|
|
"aggregates": {
|
|
"scenario_count": len(scenario_records),
|
|
"activation_verdicts": {
|
|
r["activation_verdict"]: sum(
|
|
1 for s in scenario_records if s["activation_verdict"] == r["activation_verdict"]
|
|
)
|
|
for r in scenario_records
|
|
},
|
|
"critical_count": sum(1 for s in scenario_records if s["is_critical"]),
|
|
},
|
|
}
|
|
|
|
|
|
def build_receipt(registry: dict[str, Any]) -> dict[str, Any]:
|
|
receipt = {
|
|
"schema": "boundary_activation_field_receipt_v1",
|
|
"generated_at_utc": datetime.now(timezone.utc).isoformat(),
|
|
"timestamp_role": "metadata_only",
|
|
"generated_at_utc_included_in_receipt_hash": False,
|
|
"registry": rel(REGISTRY),
|
|
"registry_hash": hash_obj(registry),
|
|
"aggregates": registry["aggregates"],
|
|
"decision": "ADMIT_BOUNDARY_ACTIVATION_FIELD",
|
|
"claim_boundary": registry["claim_boundary"],
|
|
}
|
|
receipt["receipt_hash"] = sha256_bytes(
|
|
stable_json(
|
|
{k: v for k, v in receipt.items() if k not in {"receipt_hash", "generated_at_utc"}}
|
|
).encode("utf-8")
|
|
)
|
|
return receipt
|
|
|
|
|
|
def write_summary(registry: dict[str, Any], receipt: dict[str, Any]) -> None:
|
|
lines = [
|
|
"# Boundary Activation Field",
|
|
"",
|
|
f"Decision: `{receipt['decision']}`",
|
|
f"Receipt hash: `{receipt['receipt_hash']}`",
|
|
"",
|
|
registry["claim_boundary"],
|
|
"",
|
|
"## Canonical Statement",
|
|
"",
|
|
registry["canonical_statement"],
|
|
"",
|
|
"## Equations",
|
|
"",
|
|
f"- Superposition: `{registry['superposition_equation']}`",
|
|
f"- Critical condition: `{registry['critical_condition']}`",
|
|
f"- Theta_c = {registry['critical_threshold']}",
|
|
"",
|
|
"## Regime Map",
|
|
"",
|
|
]
|
|
for regime, description in registry["regime_map"].items():
|
|
lines.append(f"- `{regime}`: {description}")
|
|
lines.extend(
|
|
[
|
|
"",
|
|
"## Scenarios",
|
|
"",
|
|
"| Scenario | Location | B | Critical | Thresholds Crossed | Verdict |",
|
|
"|---|---|---|---|---|---|",
|
|
]
|
|
)
|
|
for s in registry["scenarios"]:
|
|
lines.append(
|
|
f"| `{s['scenario_id']}` | {s['location_label']} | "
|
|
f"{s['total_activation_B']} | {s['is_critical']} | "
|
|
f"{s['thresholds_crossed_count']} | `{s['activation_verdict']}` |"
|
|
)
|
|
lines.extend(
|
|
[
|
|
"",
|
|
"## Aggregates",
|
|
"",
|
|
f"- Scenario count: {registry['aggregates']['scenario_count']}",
|
|
f"- Critical count: {registry['aggregates']['critical_count']}",
|
|
f"- Verdicts: {registry['aggregates']['activation_verdicts']}",
|
|
"",
|
|
"## Source Refs",
|
|
"",
|
|
]
|
|
)
|
|
for source in registry["source_refs"]:
|
|
lines.append(f"- `{source['path']}` exists: `{source['exists']}`")
|
|
SUMMARY.write_text("\n".join(lines) + "\n", encoding="utf-8")
|
|
|
|
|
|
def write_tiddler(receipt: dict[str, Any]) -> None:
|
|
text = f"""created: 20260512000000000
|
|
modified: 20260512000000000
|
|
tags: ResearchStack Encoding BoundaryActivation Receipt
|
|
title: Boundary Activation Field
|
|
type: text/vnd.tiddlywiki
|
|
|
|
! Boundary Activation Field
|
|
|
|
Durable runner:
|
|
|
|
```
|
|
4-Infrastructure/shim/boundary_activation_field_probe.py
|
|
```
|
|
|
|
Receipt:
|
|
|
|
```
|
|
{rel(RECEIPT)}
|
|
```
|
|
|
|
Receipt hash:
|
|
|
|
```
|
|
{receipt['receipt_hash']}
|
|
```
|
|
|
|
!! Doctrine
|
|
|
|
A boundary is not where a system ends. A boundary is where accumulated encoded states become physically active.
|
|
|
|
```
|
|
latent -> no threshold crossed, boundary inactive
|
|
smooth -> density gradient regime, elastic/smooth transition
|
|
turbulent -> coupling regime, atmospheric ignition boundary
|
|
percolating -> topology regime, filament/web connectivity
|
|
switching -> spectral regime, eigenmode transition
|
|
diverging -> energy regime, thermal/divergence front
|
|
active -> 3+ thresholds crossed, full boundary activation
|
|
critical -> 4+ thresholds crossed, topology-tear regime
|
|
```
|
|
|
|
!! Links
|
|
|
|
* [[ThresholdVector (Lean formalization)|ThresholdVector.lean]]
|
|
* [[Observer Chart Projection Guardrail]]
|
|
* [[Boundary Dynamics]]
|
|
"""
|
|
TIDDLER.write_text(text, encoding="utf-8")
|
|
|
|
|
|
def main() -> int:
|
|
OUT_DIR.mkdir(parents=True, exist_ok=True)
|
|
registry = build_registry()
|
|
receipt = build_receipt(registry)
|
|
REGISTRY.write_text(
|
|
json.dumps(registry, indent=2, sort_keys=True) + "\n", encoding="utf-8"
|
|
)
|
|
RECEIPT.write_text(
|
|
json.dumps(receipt, indent=2, sort_keys=True) + "\n", encoding="utf-8"
|
|
)
|
|
write_summary(registry, receipt)
|
|
write_tiddler(receipt)
|
|
print(
|
|
json.dumps(
|
|
{
|
|
"registry": rel(REGISTRY),
|
|
"receipt": rel(RECEIPT),
|
|
"summary": rel(SUMMARY),
|
|
"tiddler": rel(TIDDLER),
|
|
"receipt_hash": receipt["receipt_hash"],
|
|
"decision": receipt["decision"],
|
|
"aggregates": registry["aggregates"],
|
|
},
|
|
indent=2,
|
|
sort_keys=True,
|
|
)
|
|
)
|
|
return 0
|
|
|
|
|
|
if __name__ == "__main__":
|
|
raise SystemExit(main())
|