Module physics 

Physics-of-failure mapping and semiotic horizon characterization. Maps grammar states to candidate physical mechanisms (Arrhenius, Leeson, etc.). Physics-of-failure mapping and semiotic horizon characterization.

Semiotic Horizon

The “semiotic horizon” defines the operating envelope within which DSFB’s structural grammar produces reliable, actionable output. Outside this envelope — below the SNR floor, at extreme drift rates, or under non-stationary calibration conditions — grammar states are unreliable. Mapping this boundary explicitly is the single most credibility-building artifact for reviewers and SBIR operators.

The semiotic horizon is defined in (SNR, α) space:

• SNR: signal-to-noise ratio in dB
• α: drift rate (residual norm units per observation)

At each (SNR, α) point, the engine either:

• Detects the drift → “Zone of Success” (grammar state transitions correctly)
• Fails to detect → “Zone of Failure” (grammar remains Admissible)

The horizon is the boundary between these zones.

Physics-of-Failure Mapping

Maps grammar states to physical mechanisms using established RF models:

Grammar State	Physical Mechanism	Model Reference
Boundary[SustainedOutwardDrift]	PA thermal drift	Arrhenius model
Boundary[SustainedOutwardDrift]	LO aging	Allan variance
Boundary[AbruptSlewViolation]	PIM onset	Passive intermod model
Boundary[RecurrentBoundaryGrazing]	FHSS periodic interference	Hop rate analysis
Violation	Jamming / intentional EMI	J/S ratio model
Boundary[SustainedOutwardDrift]	Phase noise degradation	Leeson’s model

These mappings are candidate hypotheses, not attributions. Physical attribution requires domain-specific calibration data that is not available from public datasets (RadioML, ORACLE).

Design

• no_std, no_alloc, zero unsafe
• Fixed-capacity data tables for semiotic horizon grid
• Physics mapping is a static lookup (zero runtime cost)

Structs

AllanVarianceModel

Allan variance frequency-stability model for oscillator aging.

ArrheniusModel

Arrhenius thermal-acceleration model for semiconductor PA degradation.

HorizonPoint

A single point in the semiotic horizon grid.

PhysicsConsistencyResult

Result of comparing an observed drift against a physics model prediction.

SemioticHorizon

Fixed-capacity semiotic horizon grid.

Enums

PhysicalMechanism

A candidate physical mechanism that may explain a grammar state.

Traits

PhysicsModel

A pluggable physics-of-failure model that maps an observable platform parameter to a predicted RF drift rate.

Functions

candidate_mechanisms

Map a grammar reason code to candidate physical mechanisms.

evaluate_physics_consistency

Compare an observed RF drift rate against a physics-model prediction.

model_reference

Map a reason code to the primary physical model reference.