| { |
| "dslo_version": "0.7", |
| "layer": "geometry.transitions", |
| "description": "Lawful manifold transitions defined by curvature-preserving mappings across DSLO substrates.", |
|
|
| "transitions": { |
| "continuous_transition": { |
| "definition": "A lawful manifold shift where curvature remains continuous across the transition boundary.", |
| "parameters": ["continuity_class", "boundary_behavior", "curvature_profile"], |
| "invariants": ["no curvature discontinuity", "lawful mapping"] |
| }, |
| "discrete_transition": { |
| "definition": "A lawful manifold shift between discrete curvature states governed by DSLO invariants.", |
| "parameters": ["state_set", "transition_vector", "trigger_conditions"], |
| "invariants": ["state legality", "bounded curvature change"] |
| }, |
| "adaptive_transition": { |
| "definition": "A transition where manifold behavior adapts to load, drift, or synthetic pressure.", |
| "parameters": ["adaptation_rate", "pressure_response", "load_sensitivity"], |
| "invariants": ["lawful adaptation", "curvature-consistent response"] |
| }, |
| "collapse_transition": { |
| "definition": "A transition into a collapse state when curvature exceeds lawful thresholds.", |
| "parameters": ["threshold", "collapse_vector", "instability_profile"], |
| "invariants": ["pre-collapse continuity", "threshold legality"] |
| }, |
| "recovery_transition": { |
| "definition": "A transition from collapse into a recovery attractor basin restoring lawful curvature.", |
| "parameters": ["return_rate", "basin_depth", "basin_width"], |
| "invariants": ["post-collapse legality", "bounded return trajectory"] |
| } |
| }, |
|
|
| "notes": { |
| "lawfulness": "All transitions obey DSLO legality invariants and curvature-preserving constraints.", |
| "cross_domain": "Transitions apply uniformly across biological, cultural, abstract, physical, and machine-facing substrates.", |
| "integration": "Transitions bind directly to geometry primitives, invariants, and examples within the v0.7 release cluster." |
| } |
| } |
|
|