Diagnostic Engine · v9 · DST Framework

DST Compass

Declining Stress Threshold

Θ_{t+1} = Θ_t + ρ_t − (σ_t − κ_t)  ·  τ(T) = (Θ−T) / |dΘ/dt|  ·  ρ heals · κ hides · σ kills
Stage 1 of 3 — System Input

Map Your System

Q4 (Θ estimate) and Q8 (κ description) are required. The more specific your answers, the more precise the structural diagnosis. The math runs on your numbers, not your words.

Q1 · System Boundary
What exactly is the system?
Name it precisely. Vague boundary → vague diagnosis.
Q2 · Failure Definition
What does failure actually mean here?
Concrete. Not "things get worse" — what specifically breaks?
Q3 · User Regime Estimate
What regime do you believe this system is in?
Elastic · Plastic · Late Plastic · Residual — and briefly why.
Q4 · Θ Estimate — Required ★
Estimate remaining structural capacity (0–100)
0 = no capacity left. 100 = full capacity. This is the core input to all equations.
If you have prior periods: enter up to 3 earlier Θ values (oldest → newest → now)
Q5 · D — Irreversible Damage
What damage is accumulating that cannot be quickly reversed?
Q6 · σ — Stress Engine & Self-Reinforcing Loop
What is the self-amplifying stress? How does it compound?
Not the initial pressure — the feedback that makes it nonlinear.
Q7 · ρ — True Restoration (estimate 0–100)
What genuinely rebuilds future tolerance? Estimate ρ rate.
Not symptom suppression. Only actions that increase real Θ.
Q8 · κ — Displacement Channel — Required ★
Where is stress being hidden or exported? Estimate κ_a, κ_c, κ_i.
If you cannot name this, you don't yet understand why the system still appears alive.
κ_a accumulated (FIX)
κ_c conscripted (MITIGATE)
κ_i intentional (ACCEPT)
Q9 · κ_max — Saturation Point
When does the displacement channel run out? Estimate κ_max.
Q10 · Lying Metric — y(t)
Which metric looks fine while the system worsens? This is y(t).
Q11 · Earliest Θ Proxy
What is the earliest real warning signal — before y(t) moves?
Q12 · Earliest κ-Saturation Proxy
What is the first observable sign that displacement is failing?
Q13 · Transition Boundary
What condition flips the system into a worse regime?
Q13.5 · κ-Cap — Critical
What displacement MUST be capped before restoration can work?
⚠ Building ρ while κ is fully active is usually ineffective — the system re-routes back into masking.
Q14 · Correct Rail
What is the right intervention — Buffer · Export · Pulse · Reset · Truth?
Q15 · Payer & Sink
Who pays when this breaks? Who is the current sink?
Computing DST equations…
Θ — Real Structural Capacity
/ 100
↗ Copy score
Capacity Remaining
σ Stress
κ Masking
ρ Healing
D Damage
Observability Gap — A(t) vs Θ(t) — Eq 14
⚡ Immediate Action Required
    dΘ/dt Trajectory & d²Θ/dt² Acceleration
    τ(T) = (Θ − T) / |dΘ/dt + λ·d²Θ/dt²| — Eq 11
    κ Decomposition — κ_a (FIX) · κ_c (MITIGATE) · κ_i (ACCEPT)
    κ saturation
    σ_eff = σ − (κ_a + κ_c + κ_i) — Eq 7
    Structural Insight
    Diagnostic Gaps
      System Challenge
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