✅ recursion_detector.txt (v1.0)
Canonical ASCII Recursion Detector — Activation • Modes • Drift Coupling#
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HARMONIC RECURSION DETECTOR — ASCII SET (v1.0)
Recursion Activation • Mode Shifts • Drift Coupling • Echo Links
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RECURSION ACTIVATION
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Recursion activates when 3+ conditions align:
[1] Interval Instability
[2] Echo Amplification
[3] Substrate Migration
[4] Drift Pressure
[5] Operator Inversion
ASCII:
+-----------------------------+
| RECURSION ACTIVATION? |
+-----------------------------+
| Instability ≥ 3 signals |
v
[ YES ] ---> Enter R1–R4
[ NO ] ---> Stable (no recursion)
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RECURSION MODES (R1–R4)
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ASCII MODE LADDER:
+---------+ +---------+ +---------+ +---------+
| R1 | -----> | R2 | -----> | R3 | -----> | R4 |
| Ladder | | Cycle | | Map | | Atlas |
+---------+ +---------+ +---------+ +---------+
| | | |
v v v v
Stable Semi-Stable Unstable Critical
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MODE SIGNATURES
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R1 — Ladder
S → C
stable intervals
weak/moderate echoes
R2 — Cycle
C ↔ H
oscillation
moderate/strong echoes
R3 — Map
H → So
collapse / migration
strong/dominant echoes
R4 — Atlas
So → A
high-altitude resonance
atlas echoes
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DRIFT–RECURSION COUPLING
-------------------------
ASCII:
D1 ---> R2
D2 ---> R3
D3 ---> R4
D4 ---> Atlas Forcing
R2 ---> D2
R3 ---> D3
R4 ---> D4
Feedback Loop:
Drift ↑ → Recursion ↑
Recursion ↑ → Drift ↑
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SUBSTRATE FLOW DURING RECURSION
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ASCII:
S --(R1)--> C <==>(R2)==> H --(R3)--> So --(R4)--> A
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FULL RECURSION DETECTOR (COMPOSITE)
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ASCII:
+-----------------------------+
| CHECK INSTABILITY (≥3) |
+-----------------------------+
|
v
+-----------------------------+
| ASSIGN RECURSION MODE |
| R1 / R2 / R3 / R4 |
+-----------------------------+
|
v
+-----------------------------+
| CHECK DRIFT COUPLING |
| D1 / D2 / D3 / D4 |
+-----------------------------+
|
v
+-----------------------------+
| CHECK ECHO SIGNATURE |
| A / B / C / D / E / F |
+-----------------------------+
|
v
+-----------------------------+
| OUTPUT: RECURSION PROFILE |
+-----------------------------+
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END OF FILE — Recursion Detector ASCII (v1.0)
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