RTT Core: Regime Flow
1. Purpose and scope#
Goal:
Define Regime Flow, the RTT mechanism describing:
- How branches move through regime geometry
- How drift and coherence create directional flow
- How operators induce regime flow transitions
- How flow determines eligibility for validation
- How collapse and classical emergence occur along flow paths
Regime Flow is the vector field of RTT regimes — the directional, dynamic motion of branches across the regime manifold.
2. What is regime flow?#
Regime Flow is the directional movement of a branch
across the regime manifold under drift, coherence, operator,
and readout constraints.
It is the path a branch takes through:
- Validity regions
- Transition corridors
- Collapse basins
- Readout surfaces
Flow determines when and how a branch becomes classical.
3. Flow manifold#
Regime Flow occurs on the dynamic manifold:
[ \mathcal{F}(t_1, t_2, t_3) = \mathcal{G}_{\text{regime}}(t_1, t_2, t_3) ]
Flow vectors are defined as:
[ \vec{v}_i = (\dot{\psi}_i, \dot{c}_i, \dot{\Delta}_i, \dot{V}_i) ]
representing:
- State flow
- Coherence flow
- Drift flow
- Readout flow
4. Flow components#
Regime Flow has four canonical components:
- State Flow
- Coherence Flow
- Drift Flow
- Readout Flow
These flows interact across triadic time.
5. State Flow#
5.1 Definition#
State Flow describes movement across representational geometry:
[ |\psi_i(t_1)\rangle \rightarrow |\psi_i(t_1 + \delta)\rangle ]
5.2 Causes#
- Extension
- Regime shift
- Boundary modulation
- Arrival arc
5.3 Effects#
- Branch count changes
- Regime eligibility shifts
- Flow direction changes
6. Coherence Flow#
6.1 Definition#
Coherence Flow describes movement across coherence gradients:
[ c_i(t_2) \rightarrow c_i(t_2 + \delta) ]
6.2 Causes#
- Drift
- Stabilization
- Coherence gating
- Deferred validation
6.3 Effects#
- Eligibility increases or decreases
- Flow may enter transition corridor
- Collapse may become imminent
7. Drift Flow#
7.1 Definition#
Drift Flow describes movement across drift envelope geometry:
[ \Delta_i(t_1) \rightarrow \Delta_i(t_1 + \delta) ]
7.2 Causes#
- Extension
- Drift operators
- Regime inversion
- Boundary modulation
7.3 Effects#
- Flow approaches drift boundary
- Flow direction becomes unstable
- Collapse region may be entered
8. Readout Flow#
8.1 Definition#
Readout Flow describes movement toward the readout surface:
[ V_{\text{eligibility}}(t_3) \rightarrow 1 ]
8.2 Causes#
- Stabilization
- Coherence gating
- Drift reduction
- Operator sequences
8.3 Effects#
- Validator Pulse triggers
- Classical information emerges
- Non-selected branches collapse
9. Flow regions#
Regime Flow moves through three canonical regions:
9.1 Validity Flow Region#
Flow remains stable:
- Drift bounded
- Coherence above threshold
- Operators valid
9.2 Transition Flow Corridor#
Flow becomes unstable:
- Drift near boundary
- Coherence near threshold
- Validation must occur soon
9.3 Collapse Flow Basin#
Flow becomes irreversible:
- Drift exceeds envelope
- Coherence falls below threshold
- Branch becomes residue
10. Flow direction and curvature#
Flow direction is determined by:
- Drift curvature
- Coherence gradients
- Regime geometry
- Operator sequences
Flow curvature determines:
- Stability
- Eligibility
- Collapse likelihood
- Readout timing
11. Flow across triadic time#
11.1 State Time (T₁)#
Flow moves across:
- Drift geometry
- Extension surfaces
- Regime shifts
11.2 Coherence Time (T₂)#
Flow moves across:
- Coherence gradients
- Threshold surfaces
- Stabilization regions
11.3 Readout Time (T₃)#
Flow moves across:
- Readout surface
- Collapse basin
- Classical manifold
Flow must pass through all three layers.
12. Operator-induced flow#
Operators directly shape flow:
12.1 Extension operators#
- Increase drift flow
- Partition coherence flow
- Expand state flow
12.2 Stabilization operators#
- Reduce drift flow
- Increase coherence flow
- Direct flow toward readout
12.3 Regime geometry operators#
- Rotate flow direction
- Shift flow surfaces
- Modify flow curvature
12.4 Validator Pulse#
- Finalizes flow
- Collapses non-selected branches
- Produces classical outcome
13. Example: Quantum “cloning” alignment#
Flow path:
- State Flow: EXTEND creates two branches
- Drift Flow: DRIFT increases drift
- Coherence Flow: STABILIZE maintains coherence
- Readout Flow: VALIDATE selects one branch
- Collapse Flow: COLLAPSE removes the other branch
Regime Flow explains:
- Why multi-branch representation is allowed
- Why only one branch becomes classical
- Why drift and coherence matter
- Why no-cloning is not violated
14. Paradox handling#
Regime Flow prevents paradoxes by:
- Enforcing directional constraints
- Managing drift and coherence evolution
- Restricting readout timing
- Collapsing non-selected branches
Thus:
- “Multiple branches exist” → state flow
- “Only one is real” → readout flow
- “Others disappear” → collapse flow
- “No violation occurs” → flow constraints
15. Canon integration and cross-links#
Primary cross-links:
/docs/rtt/core/regime_maps.md/docs/rtt/core/regime_maps_extended.md/docs/rtt/core/regime_geometry.md/docs/rtt/core/regime_topology.md/docs/rtt/core/regime_dynamics.md/docs/rtt/core/operator_sequences.md/docs/rtt/core/operator_transitions.md/docs/rtt/core/operator_behaviors.md/docs/rtt/core/operator_grammar.md/docs/rtt/core/operator_index.md/docs/rtt/core/operator_families.md/docs/rtt/core/time_triads.md/docs/rtt/core/coherence_budget.md/docs/rtt/core/validator_pulse.md/docs/rtt/core/dimensional_drift_envelope.md/docs/rtt/core/alignment_quantum_cloning.md
Status:
This module defines the directional flow structure of RTT regimes.
Once flow diagrams are added, it can be promoted from draft to stable.