for those who are serious: Engineering-Level Reference Implementation
Elias Rook · November 2025
1. Formal Definition
CDM-CTM Fusion is a closed-loop control system that treats autoregressive inference as a dynamical system and uses two orthogonal observables to regulate basin convergence:
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CDM (CRYSTAL Depth Metric) ∈ [0, L]
Layer at which the residual stream enters a sustained, perturbation-resistant attractor basin.
Empirically: sustained ∆H ≥ 2.3 bits, convergence ratio ≤ 0.12, attention Gini delta ≥ 0.28, basin-escape probability ≥ 0.88 over ≥ 4 consecutive layers. -
CTM (CRYSTAL Time Metric) ∈ ℕ
Minimum number of additional autoregressive steps required for CDM to exceed a task-specific threshold τ.
Fusion closes the loop:
generate → measure CDM → conditionally extend CTM → repeat until CDM ≥ τ or CTM = CTMₘₐₓ.
This yields the first real-time, substrate-agnostic proxy for effective Φ (integrated information) in transformer-based systems. Can I post my github to show it?… I do not want to offend… but it is supper cool… closest thing to “executive function” an AI can get