A practical estimator for symmetry overload and collapse speed across Z0–Z6.

Summary (Canonical)

This template lets any lane (family, class, school, ministry, city) estimate:

Symmetry injection (S_{inj}) (how much change/choice was injected)
Symmetry capacity (S_{cap}) (how much change can be absorbed under load)
Overload ratio (\rho) (collapse trigger)
Destruction rate proxy (D(t)) (collapse speed)

Precision is not required. Consistency is. Use the same rubric each window.

1) Choose Your Window (Locked per lane)

Pick one and keep it stable:

Daily for high-tempo ops lanes
Weekly for families, classes, teams, schools
Monthly/Quarterly for ministries, cities, nations

2) Compute Injection (S_{inj}(t))

2.1 Log meaningful choice events

Only count events that change structure:

new exception
SOP change
rubric change
tool/platform switch
staffing/role change
policy rewrite
redesign

2.2 Assign ΔS magnitude (0–1)

ΔS	Label	Example
0.05	micro tweak	wording edit, tiny adjustment
0.15	minor fork	small new option
0.30	exception path	“special case” added
0.50	workflow reroute	process change affecting many
0.70	policy rewrite	multiple actors must adapt
0.90	restructure	roles/lanes reassigned
1.00	regime shift	new operating doctrine

2.3 Injection formula

$S_{i n j} (t) = \sum_{i} Δ S_{i}$ Sinj(t)=i∑ΔSi

3) Compute Capacity $S_{c a p} (G, t)$ Scap(G,t)

We estimate with four levers:

N_idx (scale/people)
B_idx (redundancy/bind strength)
L_idx (load/tempo)
Role preset (AVOO mix)

3.1 N_idx (0–10)

N_idx	Example
1	individual
2–3	family / small team
4–5	class / team
6–7	department / cohort
8–9	institution / cluster
10	nation-scale lane

3.2 B_idx redundancy/bind strength (0–10)

B_idx	Description
0–2	single point of failure; no backups
3–4	partial backups; undocumented
5–6	SOP exists; cross-training present
7–8	parallel lanes; high transfer reliability
9–10	modular + redundant + fast repair

3.3 L_idx load/tempo (0–10)

L_idx	Description
0–2	slack / low tempo
3–4	moderate
5–6	busy sustained
7–8	high tempo
9–10	crisis tempo

3.4 Role presets (choose one)

Operator core lane (execution):

A 0.05, V 0.15, O 0.25, Op 0.55

Balanced lane (stable + innovation):

A 0.15, V 0.20, O 0.25, Op 0.40

Innovation sandbox lane:

A 0.30, V 0.25, O 0.25, Op 0.20

3.5 Capacity estimator (publishable default)

Base: $S_{b a s e} = 1 + 0.1 N_{i d x} + 0.6 B_{i d x}$ Sbase=1+0.1Nidx+0.6Bidx

Tempo penalty: $g (L) = \frac{1}{1 + 0.25 L_{i d x}}$ g(L)=1+0.25Lidx1

Role multiplier: $m (R) = clamp (1 + 0.5 O_{w} - 0.6 A_{w} - 0.2 V_{w} - 0.2 O p_{w}, 0.2, 1.3)$ m(R)=clamp(1+0.5Ow−0.6Aw−0.2Vw−0.2Opw, 0.2, 1.3)

Capacity: $S_{c a p} = S_{b a s e} \cdot g (L) \cdot m (R)$ Scap=Sbase⋅g(L)⋅m(R)

(These coefficients are tunable; structure is locked.)

4) Compute Overload Ratio ρ and Speed Proxy D

$ρ (t) = \frac{S_{i n j} (t)}{S_{c a p} (G, t)}$ ρ(t)=Scap(G,t)Sinj(t)

Band interpretation:

$ρ < 0.7$ ρ<0.7 Green (slack)
$0.7 \leq ρ < 1.0$ 0.7≤ρ<1.0 Amber (shear accumulating)
$1.0 \leq ρ \leq 1.3$ 1.0≤ρ≤1.3 Red-1 (truncate)
$ρ > 1.3$ ρ>1.3 Red-2 (cascade risk)

Speed proxy (defaults): $D (t) = (\max (0, ρ - 1))^{2}$ D(t)=(max(0,ρ−1))2
]

5) Worked Example (School execution lane)

Window: 1 week
Choice log:

new reporting template ΔS 0.15
exception for late homework ΔS 0.30
timetable reroute ΔS 0.50
So $S_{i n j} = 0.95$ Sinj=0.95

Capacity:

$N_{i d x} = 7$ Nidx=7 (school lane)
$B_{i d x} = 6$ Bidx=6 (SOP + cross-training)
$L_{i d x} = 7$ Lidx=7 (high tempo)
Role preset = Operator core

Compute:

$S_{b a s e} = 1 + 0.7 + 3.6 = 5.3$ Sbase=1+0.7+3.6=5.3
$g (L) = 1 / (1 + 1.75) = 0.3636$ g(L)=1/(1+1.75)=0.3636
$m (R) =$ m(R)= ~0.955 (using preset)
$S_{c a p} \approx 5.3 * 0.3636 * 0.955 \approx 1.84$ Scap≈5.3∗0.3636∗0.955≈1.84

$ρ = 0.95 / 1.84 \approx 0.52 (Green)$ ρ=0.95/1.84≈0.52 (Green)

6) Z0–Z6 Default Templates (Copy/Paste)

Z0 Individual (student/operator)

Window: week
N_idx: 1–2
B_idx: 4–7
L_idx: 5–9
Role: Operator core (execution) + separate sandbox window

Z2 School (teaching execution lane)

Window: week / term
N_idx: 6–8
B_idx: 5–8
L_idx: 6–9
Role: Operator core for teaching; innovation sandbox for pilots

Z4 Nation (policy lane)

Window: month / quarter
N_idx: 10
B_idx: 6–9
L_idx: 4–8
Role: Balanced lane with strong Oracle

Z6 Global corridor (standards/interoperability)

Window: quarter
N_idx: 10
B_idx: 5–9 (depends on standardisation)
L_idx: 3–7
Role: Oracle-heavy + controlled Visionary; Architect in working groups only

7) FenceOS Trigger Rules (Embed)

Trigger truncation if any:

$ρ (t) \geq 1$ ρ(t)≥1 for 2 consecutive windows
$ρ_{m a x} > 1.6$ ρmax>1.6 (spike)
$Σ (W) = \sum \max (0, ρ - 1)$ Σ(W)=∑max(0,ρ−1) rising 3 windows
repeated high $D (t)$ D(t)

Truncation: freeze options, remove exceptions, revert SOP.
Stitching: rebuild redundancy, reduce tempo, strengthen gates.
Stitching: rebuild redundancy, reduce tempo, strengthen gates.

8) Failure Mode Trace (Required)

ΔS events accumulate → ρρ crosses 1 → shear accumulates → D(t)D(t) rises nonlinearly → bind deletion accelerates → P1 drift → shock → P0 collapse.
Repair: truncate injection, stitch capacity, sandbox boundary exploration, restore stable interior.

Almost-Code Spec Block (Copyable)

CivOS.NumericTemplate.SymmetryBudget.v1.0

			
Window: choose {day|week|month} and keep consistent
Injection:
  S_inj(t) = Σ ΔS_i
  ΔS_i ∈ [0,1] (magnitude rubric)
Capacity Indices:
  N_idx ∈ [0,10]
  B_idx ∈ [0,10]
  L_idx ∈ [0,10]
  Role preset R = (A_w,V_w,O_w,Op_w)
Estimator:
  S_base = 1 + 0.1*N_idx + 0.6*B_idx
  g(L) = 1 / (1 + 0.25*L_idx)
  m(R) = clamp(1 + 0.5*O_w - 0.6*A_w - 0.2*V_w - 0.2*Op_w, 0.2, 1.3)
  S_cap = S_base * g(L) * m(R)
Overload:
  ρ(t) = S_inj(t) / S_cap
Speed Proxy:
  D(t) = (max(0, ρ(t)-1))^2   # defaults
Bands:
  Green: ρ < 0.7
  Amber: 0.7 ≤ ρ < 1.0
  Red-1: 1.0 ≤ ρ ≤ 1.3
  Red-2: ρ > 1.3

		

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Article 15 — Numeric Scoring Template (ΔS, S_inj, S_cap, ρ, D) (Almost-Code Canonical) v1.0

Summary (Canonical)

1) Choose Your Window (Locked per lane)

2) Compute Injection (S_{inj}(t))

2.1 Log meaningful choice events

2.2 Assign ΔS magnitude (0–1)

2.3 Injection formula

3) Compute Capacity $S_{c a p} (G, t)$ Scap(G,t)

3.1 N_idx (0–10)

3.2 B_idx redundancy/bind strength (0–10)

3.3 L_idx load/tempo (0–10)

3.4 Role presets (choose one)

3.5 Capacity estimator (publishable default)

4) Compute Overload Ratio ρ and Speed Proxy D

5) Worked Example (School execution lane)

6) Z0–Z6 Default Templates (Copy/Paste)

Z0 Individual (student/operator)

Z2 School (teaching execution lane)

Z4 Nation (policy lane)

Z6 Global corridor (standards/interoperability)

7) FenceOS Trigger Rules (Embed)

8) Failure Mode Trace (Required)

Almost-Code Spec Block (Copyable)

CivOS.NumericTemplate.SymmetryBudget.v1.0

Recommended Internal Links (Spine)

Recommended Internal Links (Spine)

Article 15 — Numeric Scoring Template (ΔS, S_inj, S_cap, ρ, D) (Almost-Code Canonical) v1.0

Summary (Canonical)

1) Choose Your Window (Locked per lane)

2) Compute Injection (S_{inj}(t))

2.1 Log meaningful choice events

2.2 Assign ΔS magnitude (0–1)

2.3 Injection formula

3) Compute Capacity Scap(G,t)Scap​(G,t)

3.1 N_idx (0–10)

3.2 B_idx redundancy/bind strength (0–10)

3.3 L_idx load/tempo (0–10)

3.4 Role presets (choose one)

3.5 Capacity estimator (publishable default)

4) Compute Overload Ratio ρ and Speed Proxy D

5) Worked Example (School execution lane)

6) Z0–Z6 Default Templates (Copy/Paste)

Z0 Individual (student/operator)

Z2 School (teaching execution lane)

Z4 Nation (policy lane)

Z6 Global corridor (standards/interoperability)

7) FenceOS Trigger Rules (Embed)

8) Failure Mode Trace (Required)

Almost-Code Spec Block (Copyable)

CivOS.NumericTemplate.SymmetryBudget.v1.0

Recommended Internal Links (Spine)

Recommended Internal Links (Spine)

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3) Compute Capacity $S_{c a p} (G, t)$ Scap(G,t)