Parameters
0.0
2.0
0.50
1.00
20
š” Tip: Adjust time to see how coherence accumulates. When C exceeds threshold, rupture occurs!
1. Coherence Integration
ACCUMULATING
C(x,t) = ā«āįµ L(x,Ļ) dĻ
Current C(t)
0.00
Memory Rate L
0.50
dC/dt
0.50
% to Rupture
0%
What's happening: The system is integrating all past states. Every moment of experience accumulates into coherence. This is non-Markovian memory - the entire history matters, not just the recent past.
2. Rupture Event
Ī“(t - tā)
Rupture Time
--
Ruptures Count
0
Time Since Rupture
--
Rupture Active
NO
What's happening: When coherence exceeds the threshold, a discrete rupture event occurs. This is a metabolic transformation - the system cannot absorb new information due to rigidity, so it must transform. C ā 0, allowing plasticity to return.
3. Regeneration Operator
RECONSTRUCTING
R[Ļ](x,t) = ā«āįµ Ļ(x,Ļ) Ā· e^(C(x)/Ī©) Ā· Ī(t-Ļ) dĻ
Historical Ļ
1.00
Amplification e^(C/Ī©)
1.00
Regeneration R
0.00
Entropy Reduction
0%
What's happening: Historical patterns Ļ are being reconstructed into future states, weighted exponentially by accumulated coherence. As C grows, exp(C/Ī©) makes old patterns dominate more strongly. This is the exploitation-rigidity trap: success ā rigidity ā brittleness.
Time Evolution
Key Insights:
- Green: Coherence accumulation (memory growing)
- Red vertical lines: Rupture events (metabolic transformation)
- Blue: Amplification factor (how much history dominates)
- Watch: As C grows, amplification explodes exponentially