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Article 14 — Symmetry Budget Sensor Pack (SBS) (Almost-Code Canonical) v1.0

Detect overload early. Trigger truncation before irreversible shear.

Summary (Canonical)

You cannot control symmetry overload without sensors.
The Symmetry Budget Sensor Pack (SBS) provides a minimal, repeatable set of measures to detect:

  • approaching overload ((\rho\to 1))
  • spikes (sudden change storms)
  • shear accumulation (slow drift)
  • estimated destruction rate (D(t))

Then it maps directly to FenceOS triggers: truncate early, stitch back safely.

1) First Principles

1.1 Why sensors matter

Most collapse is late detection:

  • you notice only when performance drops
  • by then binds have deleted
  • repair latency is too long

SBS detects the upstream variable:

symmetry injection exceeding absorption capacity.

1.2 What SBS measures

SBS measures the ratio:
[
\rho(t)=\frac{S_{inj}(t)}{S_{cap}(G,t)}
]
and its derivatives/aggregates.

2) Sensor Set (Locked)

SBS-1: Overload Ratio (Primary)

[
\rho(t)=\frac{S_{inj}(t)}{S_{cap}(G,t)}
]

Interpretation:

  • (\rho<0.7): slack / safe
  • (0.7\le\rho<1.0): warning band (shear accumulating)
  • (\rho\ge 1.0): failure regime (truncate)

SBS-2: Spike Detector (Max Ratio in Window)

For a window (W):
[
\rho_{max}(W)=\max_{t\in W}\rho(t)
]

Spikes matter because short bursts can delete binds even if average looks fine.

Spike rule (default):

  • if (\rho_{max}>1.6) → immediate truncation

SBS-3: Shear Accumulation Index (Cumulative Overhang)

Over window (W):
[
\Sigma(W)=\sum_{t\in W}\max(0,\rho(t)-1)
]

This measures “how much time you spent above threshold.”

Drift rule (default):

  • if (\Sigma(W)) is rising across windows → you are in slow attrition drift

SBS-4: Destruction Rate Estimate (Collapse Speed Proxy)

[
D(t)=k\cdot(\max(0,\rho(t)-1))^{\alpha}\quad(\alpha>1)
]

Defaults for publication:

  • (k=1)
  • (\alpha=2)

Interpretation:

  • small overhang → small damage
  • large overhang → fast cascade

3) Auxiliary Sensors (Optional but powerful)

SBS-5: Injection Breakdown

[
S_{inj}(t)=\sum \Delta S_i
]
Track contributions by type:

  • exceptions
  • policy changes
  • tool switches
  • staffing changes
  • SOP rewrites

This identifies the dominant injector.

SBS-6: Capacity Breakdown

Track:

  • redundancy/bind strength B
  • tempo/load L
  • role mix R (AVOO)
    So you can see whether capacity is falling (often the hidden cause).

4) FenceOS Triggers (Hard Link)

FenceOS triggers truncation if any:

  1. (\rho(t)\ge 1) for 2 consecutive windows
  2. (\rho_{max}(W)>1.6)
  3. (\Sigma(W)) rising for 3 windows
  4. (D(t)) repeatedly above a lane-defined maximum

Then:

  • run TruncationPack
  • then StitchingPack until (\rho) returns below 1 and stability returns (P2/P3)

5) Phase Mapping (P0–P3 via (\overline{\rho}))

Let moving average (\overline{\rho}) over W:

  • P3: (\overline{\rho}\le 0.7)
  • P2: (0.7<\overline{\rho}<1.0)
  • P1: (1.0\le \overline{\rho}\le 1.3)
  • P0: (\overline{\rho}>1.3) or repeated spikes (>1.6)

6) System Optimisation (How to Use SBS)

Weekly operating loop (any lane)

  1. log meaningful choice events
  2. assign ΔS values
  3. compute (S_{inj})
  4. estimate (S_{cap})
  5. compute (\rho, \rho_{max}, \Sigma, D)
  6. if triggered: truncate now
  7. stitch until (\rho<1) consistently

This turns symmetry control into a routine.

7) Failure Mode Trace (Required)

No SBS → overload invisible → (\rho) crosses 1 silently → shear accumulates → bind deletion accelerates → performance drops too late → P1→P0.
Repair: install SBS, trigger truncation early, rebuild capacity, restore redundancy.

Almost-Code Spec Block (Copyable)

CivOS.SBS.SensorPack.v1.0

Primary:
  SBS-1: ρ(t) = S_inj(t) / S_cap(G,t)
Spike:
  SBS-2: ρ_max(W) = max_t∈W ρ(t)
Accumulation:
  SBS-3: Σ(W) = Σ_t∈W max(0, ρ(t)-1)
Speed:
  SBS-4: D(t) = k*(max(0, ρ(t)-1))^α , α>1
Fence Triggers (default):
  - ρ(t) >= 1 for 2 consecutive windows -> Truncate
  - ρ_max(W) > 1.6 -> Truncate immediately
  - Σ(W) increasing for 3 windows -> Truncate + Stitch
  - repeated high D(t) -> Emergency freeze + rebuild capacity

FAQ (Short)

Q1: Why use multiple sensors?
Because average can hide spikes, and spikes can cause irreversible bind deletion.

Q2: Can I use SBS without exact data?
Yes. Consistent scoring is enough. Trend + threshold crossing is the point.

Q3: What does SBS change operationally?
It makes “freeze and simplify” a justified control move, not a panic reaction.

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