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AVOO Role Lattice — Architect · Visionary · Oracle · Operator (Canonical) v1.0

(Definitions + hybrids + symmetry/choice laws + collapse-speed proxy. Machine-readable.)

Canonical One-Liner

AVOO is the role stack that controls symmetry breaking: Operators preserve symmetry to execute; Oracles gate truth; Visionaries choose direction; Architects generate corridors—stability requires that symmetry breaking happens at the boundary and is promoted inward only through gates.

1) Role Definitions (Locked)

Architect (A) — Corridor Generator / Randomizer

Function: generate new action/decision corridors via permutation, recombination, and boundary exploration.
Output: candidate corridors, not deployed policy.
Failure if misused: chaos injection (Architect Flood).

Visionary (V) — Direction Selector / Objective Setter

Function: select which corridors matter and set long-horizon direction.
Output: priorities + constraints + narrative aim.
Failure if misused: direction churn (Visionary Storm).

Oracle (O) — Truth & Gate Layer

Function: define metrics, thresholds, gates, and promotion rules; lock meanings and scope.
Output: pass/fail envelopes + audit truth.
Failure if misused: metric fragmentation, proxy optimisation.

Operator (Op) — Stable Execution Layer

Function: execute reliably at speed; preserve symmetry and SOP integrity.
Output: consistent throughput under load.
Failure if misused: exception explosion, throughput collapse.

2) Interior vs Boundary Placement (Venn Concept)

  • Interior (Stable Set): Operator-dominant work
  • low choice, high repeatability, high speed
  • Boundary Ring: Oracle-dominant work
  • gates, rubrics, scope locks, stop-loss thresholds
  • Outside / Sandbox: Architect + Visionary
  • exploration + direction selection, not direct execution

Rule: boundary activity must not be injected into interior without Oracle gates.

3) Hybrid Roles (Lattice Combinations)

Roles can hybridise into stable “clouds” (common patterns):

  • A·V — frontier builder (new corridors + selected direction)
  • A·O — architect-engineer (corridors + formal gating/spec)
  • A·Op — prototyper (dangerous if deployed without gating)
  • V·O — strategist-governor (direction + metric locks)
  • V·Op — commander-executor (high risk of churn if cadence not disciplined)
  • O·Op — quality operator (stable execution with strong gates)

Lattice principle: hybrids are legitimate, but promotion discipline must remain: sandbox → gate → stabilise → SOP.

4) Symmetry–Choice Law (Role-Dependent)

Choice is symmetry breaking.

Define:

  • (S_{break}) = symmetry breaks (choices, forks, exceptions, novelty injections)
  • (S_{preserve}) = symmetry preservation (repeatability, SOP stability)

Role skew (from most preserve → most break):
Operator → Oracle → Visionary → Architect

Interpretation:

  • Operators maximise (S_{preserve}) for speed and reliability
  • Architects maximise (S_{break}) for new corridors
  • Visionaries and Oracles sit between: select and gate

5) Symmetry Budget Law (Group Collapse Condition)

Let:

  • (S_{inj}) = symmetry breaks injected into a group/system per window
  • (S_{cap}) = group absorption capacity (bind strength + slack + SOP maturity)
  • (\rho = S_{inj}/S_{cap})

Collapse risk spikes when:
[
\rho \ge 1 \quad (\text{repeatedly or persistently})
]

Key implication (your lock):

  • Operators cannot afford high choice.
  • Excess choice at Operator layer increases phase shear and induces collapse.

6) Collapse-Speed Proxy (Choice Rate Law)

Define:

  • (c(t)) = choice injection rate (symmetry breaks per unit time)
  • (c^*) = allowable choice rate for the group (capacity-normalised threshold)
  • (D(t)) = lattice destruction rate proxy

A minimal proxy:
[
D(t)\ \propto\ \max!\left(0,\ \frac{c(t)}{c^*}-1\right)^{\alpha}
]
with (\alpha>1) (nonlinear acceleration).

Interpretation:

  • below threshold: manageable adaptation
  • above threshold: destruction accelerates nonlinearly (fast collapse possible)

This converts “too many choices” into a computable collapse-speed signal.

7) Pipeline Rule (Promotion Discipline)

The only safe conversion path is:

  1. Architect explores corridors (sandbox)
  2. Visionary selects direction set
  3. Oracle gates with metrics + thresholds
  4. Operator stabilises into SOP
  5. Scale only after transfer + load stability

This is how innovation becomes capability stock.

8) Failure Mode Trace (Required)

Choice injected into Operator lanes → (\rho) spikes → phase shear → errors + repair latency rise → drift normalises (P1) → shock → cascade (P0).
Repair: truncate choices → restore SOP → gate novelty → stitch buffers → re-enter stable band.

Copyable Almost-Code Block

AVOO.RoleLattice.v1.0:
  Roles:
    A: corridor generator (symmetry breaker; sandbox)
    V: direction selector (objective setter; cadence-controlled)
    O: truth+gate layer (metrics/thresholds/scope locks)
    Op: stable execution (symmetry preserver; SOP)
  Placement:
    Op = interior stable set
    O  = boundary gates
    A,V= sandbox outside
  Hybrids:
    {A·V, A·O, A·Op, V·O, V·Op, O·Op} as role-clouds
  Symmetry-Choice Laws:
    choice == symmetry breaking
    role skew: Op < O < V < A
    ρ = S_inj/S_cap; if ρ>=1 repeatedly -> shear/collapse risk
  Collapse-Speed Proxy:
    D(t) ∝ max(0, c(t)/c* - 1)^α
  Promotion Pipeline:
    A(sandbox) -> V(select) -> O(gate) -> Op(stabilise SOP) -> Scale

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