Steps 2–4: Hybrinear
L_m= Σ(d_j·x_j) / (Σ|x_j| + ε)
NL_m= Σ|Δ_j| / (Σ|Δ_j| + ε)
H_m= tanh(|Seg|)·ZeroCount + ε
F_pred= Σ_m (n_m/N)·(α·L_m + β·NL_m + δ·H_m)
LE= O_obs − F_pred
F_final= F_pred + η·LE
Step 7: I_seq
A= Var(L_m) [magnitude instability]
B= mean(1−cos θ_j) [directional]
C= S/(S+1) S = sign changes in d_j
I_seq= w_A·A + w_B·B + w_C·C
Steps 6 & 8
Ω= Ψ · exp(−λ · I_seq)
Ω_crit= 1/e ≈ 0.3679
METP= Σ_t (1 − Ω(t)) · Δt
Ω ≥ Ω_crit → Structured Dynamics
Ω < Ω_crit → Emergent Instability
Steps 10–14: RSL
Ω_ref= mean(Ω series)
τ_RSL= Ω_ref − Ω_min
|R_mag|= |τ_RSL| / (Ω_ref + ε)
R_mod= sign × |R_mag|
sign: −(Thanatos) if τ>0 AND Ω_min<Ω_crit; else +(Anados)
Steps 15–21: Kinetic & Diagnostic
Γ= (Ω_debt·|ΔE|) / (|R_mod|+ε)
Φ= (I_seq·|R_mod|) / (δΩ+ε)
C_hist= Σ|Ω(t)−Ω_ref|
Λ= (I_seq·|R_mod|) / (C_hist·Ω_ref+ε)
Υ= |R_mod|
A/T= (Υ·Φ) / (I_seq·Γ+ε)
UEDP v4 — G S Ramesh Kumar
DOI: dx.doi.org/10.17504/protocols.io.14egnr5yml5d/v4
Deviation: from lower boundary if below range; upper boundary if above range.