[LOCK:EDU.DEFINITION]
EDU := lifelong capability regeneration in a human (acquire → stabilise → retain → transfer under variation),
       such that capability_decay_rate <= capability_regen_rate over time.
SCHOOL := time-compression accelerant (batch training system) used to raise population capability throughput.
TECH := optional amplifier (logistics/feedback/access). TECH is not EDU.
[LOCK:CORE]
Education prevents self-decay.
Civilisation prevents society-decay.

[PRIMITIVES]
t                := time
C_self(t)         := capability stock of a person at time t
λ_self            := self-decay constant (capability loss rate when unreinforced)
R_self(t)         := regeneration rate (capability gain/repair rate)
C_soc(t)          := society capability stock
λ_soc             := society-decay constant (capability/role/pipeline extinction rate)
R_soc(t)          := society regeneration rate (role succession, training throughput, repair)
A_school(t)       := schooling accelerant factor (time-compression multiplier on R_self for cohorts)
A_tech(t)         := technology amplifier factor (logistics/feedback/access multiplier)
Load(t)           := total learning load: cognitive + emotional + time + coordination
Constraint: Human hardware limits bound maximum stable acceleration.

[LAW:RATE_DOMINANCE_EDU]
Stable learning flight requires:
R_self(t) >= λ_self * C_self(t)    (prevent decay dominating)
If R_self(t) < λ_self * C_self(t) persistently:
→ drift → instability → collapse signature (P2→P1→P0)
[NOTE]
SCHOOL and TECH can increase R_self(t) only if the learner’s skill stack and load are within stability bounds.

[PHASES:EDU]
P3 := robust capability (transfer under variation; self-correcting; low fragility)
P2 := stable but brittle (works in trained contexts; transfer limited)
P1 := fragile / crammable (short-term performance; fast decay; high variance)
P0 := collapse (cannot execute; cannot self-repair; avoidance/shutdown)
[TRANSITIONS]
P3 -> P2: load increase or novelty without adaptation
P2 -> P1: repeated error without correction; weak transfer; stress overload
P1 -> P0: sustained mismatch between required acceleration and learner hardware/skills

[MODULE:SCHOOL.ACCELERANT]
Purpose:
- raise population throughput of capability production
- standardise minimum competence across cohorts
- compress time-to-competence
Mechanism:
A_school(t) increases effective regeneration for cohorts:
R_self'(t) = R_self(t) * A_school(t)
Hard Limit:
A_school(t) is bounded by human hardware + skill stack.
Over-acceleration increases collapse probability.

[MODULE:TECH.AMPLIFIER]
A_tech(t) can increase:
- access
- logistics speed
- feedback frequency
- practice frequency
- coordination efficiency
But A_tech(t) cannot replace missing learning mechanics.
Rule:
If skill stack is incomplete, TECH amplifies failure modes (faster confusion, faster overload).
If skill stack is complete, TECH amplifies gains (faster practice, better feedback loops).

[STACK:STUDY.SKILLS.CANONICAL]
S0 Input & Attention
- attention_control
- signal_noise_separation
- precision_read_listen
- symbol_decoding
S1 Representation
- chunking
- abstraction
- layering
- internal_model_building
S2 Retention
- active_recall
- spaced_reinforcement
- encoding_depth
- association_linking
S3 Error & Feedback
- error_detection
- error_localisation
- correction_without_spoonfeed
- tolerance_for_being_wrong
S4 Transfer
- context_switching
- constraint_adaptation
- problem_decomposition
- principle_extraction
S5 Meta-Control
- know_unknowns
- strategy_selection
- effort_calibration
- time_estimation
S6 Stability
- stress_regulation
- frustration_tolerance
- confidence_calibration
- recovery_after_failure
S7 Meaning
- goal_anchoring
- delayed_gratification
- identity_alignment

[LAW:ACCELERATION_BOUND]
Let V := learning velocity (capability gained per unit time).
Let V_max := stable maximum learning velocity given hardware + skill + load.
If required V_req > V_max:
→ compensation via cramming (P1 illusion)
→ higher variance
→ decay spike
→ collapse risk increases
Therefore:
Speed cannot be demanded; it must be earned by upgrading skill stack and reducing load.

[TRACE:FAILURE_MODE_SCHEMATIC]
Z0 (micro): symbol decoding gap + weak error localisation
→ Z1 (task): repeated mistakes + correction dependence
→ Z2 (subject): brittle competence, time collapse under exams
→ Z3 (life): avoidance + identity damage
→ Phase drift: P2 → P1 → P0 under acceleration mismatch
Repair route: reduce acceleration + rebuild representation + restore error-repair loop → P1 → P2 → P3

[PROTOCOL:REPAIR_TRUNCATE_STITCH]
Goal: prevent collapse by truncating runaway failure, then stitching back to stable flight.
TRUNCATE:
- stop runaway load
- remove time pressure temporarily
- isolate the smallest failing primitive (often symbol/representation/error loop)
- prevent identity damage spiral
STITCH:
- rebuild one layer at a time (S0→S7)
- restore low-variance practice
- add spaced reinforcement
- reintroduce transfer under controlled variation
- reintroduce speed last (only after stability)
Output:
P1 stabilized → P2 stable → P3 robust transfer

[COUPLING:CIV]
Society stability requires:
R_soc(t) >= λ_soc * C_soc(t)
Education OS is the primary upstream engine of R_soc(t) because it:
- regenerates skills across generations
- maintains role succession
- repairs capability after shocks
- preserves pipeline continuity
If education is treated as "school-only":
→ adult capability decay increases
→ role succession fails
→ λ_soc dominates
→ society becomes brittle and collapses under shocks

[LOCKBLOCK:EDU.OS]
EDU = lifelong capability regeneration preventing self-decay.
CIV = collective capability regeneration preventing society-decay.
SCHOOL = accelerant (time-compression throughput machine).
TECH = amplifier (access/feedback/logistics), not the engine.
Law: stable flight requires R_self(t) >= λ_self*C_self(t).
Acceleration is bounded by hardware + skill stack + load.
Failure is often speed–hardware mismatch, not intelligence.
Repair uses truncation (stop runaway) + stitching (rebuild stack) → P1→P2→P3.

[FAQ]
Q: Does education require school?
A: No. School is an accelerant; education exists whenever capability is acquired/retained/transferred.
Q: Does education require technology?
A: No. Technology amplifies method; it cannot replace learning mechanics.
Q: Why do students fail?
A: Missing stack primitives + acceleration mismatch → phase drift P2→P1→P0.
Q: Why is tuition effective?
A: It repairs primitives, reduces load, restores error-repair loop, then reintroduces speed.

[GRAMMAR]
ID := Place×Lane×Zoom×Role×Type×ID×v
For general canonical (place-agnostic):
Place := Z* (global/abstract)
Lane  := EDU
Zoom  := Z0..Z3 (micro→life)
Role  := {V(visionary), O(operator), R(repair), L(learner), T(teacher), P(parent), S(system)}
Type  := {LOCK, LAW, PRIM, PHASE, MODULE, STACK, TRACE, PROTOCOL, METRIC, EDGE, FAQ}
v     := unified version number (v1.0)

[NODE]
Z*×EDU×Z3×V×LOCK×EDU.DEFINITION×v1.0:
  txt: "EDU = lifelong capability regeneration preventing self-decay. SCHOOL = accelerant. TECH = amplifier."
[EDGE]
binds_to:
  Z*×EDU×Z3×V×LOCK×CIV.PARALLEL×v1.0
  Z*×EDU×Z3×V×LAW×RATE_DOMINANCE_EDU×v1.0
  Z*×EDU×Z3×V×MODULE×SCHOOL.ACCELERANT×v1.0
  Z*×EDU×Z3×V×MODULE×TECH.AMPLIFIER×v1.0
[NODE]
Z*×EDU×Z3×V×LOCK×CIV.PARALLEL×v1.0:
  txt: "Education prevents self-decay. Civilisation prevents society-decay. Same physics, different zoom."
[EDGE]
binds_to:
  Z*×EDU×Z3×V×METRIC×C_SELF×v1.0
  Z*×EDU×Z3×V×METRIC×R_SELF×v1.0
  Z*×EDU×Z3×V×METRIC×LAMBDA_SELF×v1.0
  Z*×EDU×Z3×V×LAW×ACCELERATION_BOUND×v1.0

[NODE]
Z*×EDU×Z3×S×METRIC×C_SELF×v1.0:
  def: "capability stock of a person at time t"
[NODE]
Z*×EDU×Z3×S×METRIC×R_SELF×v1.0:
  def: "capability regeneration rate"
[NODE]
Z*×EDU×Z3×S×METRIC×LAMBDA_SELF×v1.0:
  def: "self-decay constant (capability loss rate when unreinforced)"
[NODE]
Z*×EDU×Z3×S×METRIC×LOAD×v1.0:
  def: "total learning load: cognitive + emotional + time + coordination"
[NODE]
Z*×EDU×Z3×S×METRIC×A_SCHOOL×v1.0:
  def: "school accelerant factor (time-compression multiplier)"
[NODE]
Z*×EDU×Z3×S×METRIC×A_TECH×v1.0:
  def: "technology amplifier factor (logistics/feedback/access multiplier)"

[NODE]
Z*×EDU×Z3×S×LAW×RATE_DOMINANCE_EDU×v1.0:
  eq: "R_self(t) >= λ_self * C_self(t)"
  meaning: "regeneration dominates decay → stable flight"
[EDGE]
binds_to:
  Z*×EDU×Z3×S×PHASE×P0P3.EDU×v1.0
  Z*×EDU×Z3×R×PROTOCOL×REPAIR_TRUNC_STITCH×v1.0
[NODE]
Z*×EDU×Z3×S×LAW×ACCELERATION_BOUND×v1.0:
  def: "Required learning velocity cannot exceed stable maximum given hardware + skill stack + load."
  note: "If V_req > V_max → cramming illusion (P1) → variance → decay spike → collapse risk."
[EDGE]
binds_to:
  Z*×EDU×Z3×S×MODULE×SCHOOL.ACCELERANT×v1.0
  Z*×EDU×Z3×S×STACK×STUDY.SKILLS×v1.0
  Z*×EDU×Z3×S×TRACE×FAILURE_MODE×v1.0

[NODE]
Z*×EDU×Z3×S×PHASE×P0P3.EDU×v1.0:
  P3: "robust capability; transfer under variation; self-correcting; low fragility"
  P2: "stable but brittle; works in trained contexts; transfer limited"
  P1: "fragile/crammable; short-term performance; fast decay; high variance"
  P0: "collapse; cannot execute; cannot self-repair; avoidance/shutdown"
[EDGE]
binds_to:
  Z*×EDU×Z0×L×STACK×S0.INPUT×v1.0
  Z*×EDU×Z0×L×STACK×S1.REPRESENTATION×v1.0
  Z*×EDU×Z1×L×STACK×S2.RETENTION×v1.0
  Z*×EDU×Z1×L×STACK×S3.ERROR_FEEDBACK×v1.0
  Z*×EDU×Z2×L×STACK×S4.TRANSFER×v1.0
  Z*×EDU×Z2×L×STACK×S5.META_CONTROL×v1.0
  Z*×EDU×Z2×L×STACK×S6.STABILITY×v1.0
  Z*×EDU×Z3×L×STACK×S7.MEANING×v1.0

[NODE]
Z*×EDU×Z3×O×MODULE×SCHOOL.ACCELERANT×v1.0:
  purpose:
    - "raise population throughput"
    - "standardise minimum competence"
    - "compress time-to-competence"
  mech:
    - "R_self'(t) = R_self(t) * A_school(t)"
  bound:
    - "A_school(t) limited by hardware + skill stack + load"
  risk:
    - "over-acceleration increases P2→P1→P0 probability"
[EDGE]
binds_to:
  Z*×EDU×Z3×S×LAW×ACCELERATION_BOUND×v1.0
  Z*×EDU×Z3×R×PROTOCOL×REPAIR_TRUNC_STITCH×v1.0
[NODE]
Z*×EDU×Z3×O×MODULE×TECH.AMPLIFIER×v1.0:
  amplifies:
    - "access"
    - "feedback frequency"
    - "practice frequency"
    - "coordination efficiency"
  rule:
    - "TECH cannot replace missing learning mechanics"
  effect:
    - "if stack incomplete → amplifies overload/confusion"
    - "if stack complete → amplifies gains"
[EDGE]
binds_to:
  Z*×EDU×Z3×S×STACK×STUDY.SKILLS×v1.0
  Z*×EDU×Z3×S×LAW×RATE_DOMINANCE_EDU×v1.0

[NODE]
Z*×EDU×Z0×L×STACK×S0.INPUT×v1.0:
  skills:
    - attention_control
    - signal_noise_separation
    - precision_read_listen
    - symbol_decoding
  failure_signature:
    - "misread questions"
    - "skips constraints"
    - "notation confusion"
    - "careless errors that repeat"

[NODE]
Z*×EDU×Z0×L×STACK×S1.REPRESENTATION×v1.0:
  skills:
    - chunking
    - abstraction
    - layering
    - internal_model_building
  failure_signature:
    - "memory explodes"
    - "cannot explain concept"
    - "steps copied without meaning"
    - "confuses similar topics"

[NODE]
Z*×EDU×Z1×L×STACK×S2.RETENTION×v1.0:
  skills:
    - active_recall
    - spaced_reinforcement
    - encoding_depth
    - association_linking
  failure_signature:
    - "learns today, forgets next week"
    - "needs re-teaching repeatedly"
    - "cram spikes then drops"

[NODE]
Z*×EDU×Z1×L×STACK×S3.ERROR_FEEDBACK×v1.0:
  skills:
    - error_detection
    - error_localisation
    - correction_without_spoonfeed
    - tolerance_for_being_wrong
  failure_signature:
    - "cannot find own mistake"
    - "waits for teacher"
    - "panic under corrections"

[NODE]
Z*×EDU×Z2×L×STACK×S4.TRANSFER×v1.0:
  skills:
    - context_switching
    - constraint_adaptation
    - problem_decomposition
    - principle_extraction
  failure_signature:
    - "can do drills, fails twist questions"
    - "stuck when format changes"
    - "cannot start unfamiliar problems"

[NODE]
Z*×EDU×Z2×L×STACK×S5.META_CONTROL×v1.0:
  skills:
    - know_unknowns
    - strategy_selection
    - effort_calibration
    - time_estimation
  failure_signature:
    - "studies wrong topics"
    - "overworks low ROI tasks"
    - "time mismanagement during exams"

[NODE]
Z*×EDU×Z2×L×STACK×S6.STABILITY×v1.0:
  skills:
    - stress_regulation
    - frustration_tolerance
    - confidence_calibration
    - recovery_after_failure
  failure_signature:
    - "shutdown under pressure"
    - "avoidance spiral"
    - "identity damage after low marks"

[NODE]
Z*×EDU×Z3×L×STACK×S7.MEANING×v1.0:
  skills:
    - goal_anchoring
    - delayed_gratification
    - identity_alignment
  failure_signature:
    - "no persistence"
    - "quits after setbacks"
    - "learns only when forced"

[NODE]
Z*×EDU×Z3×R×TRACE×FAILURE_MODE×v1.0:
  chain:
    - "Z0 gap: symbol_decoding + weak representation"
    - "Z1: repeated errors + no self-correction"
    - "Z2: brittle competence + time collapse"
    - "Z3: avoidance + identity damage"
  phase_drift:
    - "P2 → P1 → P0 under acceleration mismatch"
  repair_route:
    - "reduce acceleration + rebuild stack + restore error loop → P1 → P2 → P3"

[NODE]
Z*×EDU×Z3×R×PROTOCOL×REPAIR_TRUNC_STITCH×v1.0:
  TRUNCATE:
    - "stop runaway load"
    - "remove time pressure temporarily"
    - "identify smallest failing primitive (often S0/S1/S3)"
    - "prevent identity spiral"
  STITCH:
    - "rebuild stack in order: S0→S1→S2→S3→S4→S5→S6→S7"
    - "restore low-variance practice"
    - "add spaced reinforcement"
    - "reintroduce transfer under controlled variation"
    - "reintroduce speed last"
  output:
    - "P1 stabilized → P2 stable → P3 robust"

[NODE]
Z*×EDU×Z3×V×EDGE×CIV.COUPLING×v1.0:
  claim:
    - "Education OS is upstream engine of society regeneration (R_soc)"
  failure:
    - "school-only model → adult decay → role succession failure → brittle society"
  law_link:
    - "R_soc(t) >= λ_soc * C_soc(t)"
[EDGE]
binds_to:
  Z*×EDU×Z3×V×LOCK×CIV.PARALLEL×v1.0
  Z*×EDU×Z3×S×LAW×RATE_DOMINANCE_EDU×v1.0
  Z*×EDU×Z3×O×MODULE×SCHOOL.ACCELERANT×v1.0

[NODE]
Z*×EDU×Z3×P×FAQ×Q1.SCHOOL_REQUIRED×v1.0:
  Q: "Does education require school?"
  A: "No. School accelerates; education exists whenever capability is acquired/retained/transferred."
[NODE]
Z*×EDU×Z3×P×FAQ×Q2.TECH_REQUIRED×v1.0:
  Q: "Does education require technology?"
  A: "No. Technology amplifies method; it cannot replace mechanics."
[NODE]
Z*×EDU×Z3×P×FAQ×Q3.WHY_FAIL×v1.0:
  Q: "Why do students fail?"
  A: "Missing stack primitives + acceleration mismatch → phase drift P2→P1→P0."
[NODE]
Z*×EDU×Z3×P×FAQ×Q4.WHY_TUITION_WORKS×v1.0:
  Q: "Why is tuition effective?"
  A: "Repairs primitives, reduces load, restores error loop, then reintroduces speed."

[EDGE_MAP:EDU.OS.v1.0]
EDU.DEFINITION -> {CIV.PARALLEL, RATE_DOMINANCE_EDU, SCHOOL.ACCELERANT, TECH.AMPLIFIER}
RATE_DOMINANCE_EDU -> {P0P3.EDU, REPAIR_TRUNC_STITCH}
ACCELERATION_BOUND -> {SCHOOL.ACCELERANT, STUDY.SKILLS, FAILURE_MODE}
P0P3.EDU -> {S0.INPUT, S1.REPRESENTATION, S2.RETENTION, S3.ERROR_FEEDBACK, S4.TRANSFER, S5.META_CONTROL, S6.STABILITY, S7.MEANING}
FAILURE_MODE -> {REPAIR_TRUNC_STITCH}
CIV.COUPLING -> {CIV.PARALLEL, SCHOOL.ACCELERANT, RATE_DOMINANCE_EDU}

[LOCKBLOCK:EDU.OS.CANONICAL.v1.0]
Education prevents self-decay. Civilisation prevents society-decay.
EDU = lifelong capability regeneration (acquire→stabilise→retain→transfer).
SCHOOL = accelerant (throughput/time-compression). TECH = amplifier (logistics/feedback), not engine.
Law: R_self(t) >= λ_self*C_self(t). Acceleration is hardware/skill/load bounded.
Failure: speed–hardware mismatch + missing primitives → P2→P1→P0.
Repair: truncation (stop runaway) + stitching (rebuild stack S0→S7) → P1→P2→P3.

RELEASE:
Education OS v1.0
Global Version Tag: AC.v1.0
Freeze Date: [implicit by publication]
Upgrade Rule: forward-only (AC.v1.1+)

HARD RULES:
- AC.v1.0 identifiers are immutable
- No renaming of LaneIDs, RouteIDs, NodeIDs
- Corrections occur only via new versions

PRIMARY:
- EDU-MATH-PRI
- EDU-SCI-PRI
- EDU-ENG-PRI
SECONDARY:
- EDU-MATH-SEC
- EDU-SCI-SEC
- EDU-ENG-SEC

CORE:
ROUTE.001–006
PSLE:
ROUTE.PSLE.001–006
TRANSITION:
ROUTE.TRANS.001–005
O-LEVEL:
ROUTE.OL.001–007

PLAYBOOKS:
- EDU-MATH-SEC::DeepRepair (C1–C6)
- EDU-ENG-SEC::DeepRepair (C1–C7)

COUNTRY:
- SGP (Singapore)
CITY / DISTRICT:
- SGP-BT (Bukit Timah)

PLACE INSTANTIATIONS:
- SGP::EDU-*
- SGP::FIN-FAM-RWY
- SGP::GOV-GEN

SPINES:
- SGP::EDU::EducationSpine (Z3→Z0)
- City-level Education spines (e.g. SGP-BT)

HUBS:
- RepairRoutingHub
- LoadBalancerHub
- TransitionHub

EDU SENSORS:
- OverloadIndex
- FalseCompetenceRate
- TimedAccuracyTrend
- RoutineStability
- TransitionDropRate
FIN SENSORS (Interface):
- RunwayMonths
- VolatilityIndex
- DebtServiceRatio

STRUCTURAL RULES:
R1 Diagnose before escalating workload
R2 Truncation precedes stitching
R3 Stitching precedes speed
R4 Buffer repair precedes deep repair
R5 Transitions require explicit routing
R6 Place instantiations may not mutate lane logic

REQUIREMENT:
Every Almost-Code Education OS page MUST include:
- at least one failure mode trace
- schematic, non-emotive
- showing collapse path and repair path

INTERPRETATION:
Education OS v1.0 describes
- execution reliability
- robustness under variation
- buffer-dependent learning dynamics
It does NOT describe:
- pedagogy preferences
- ideology
- individual intelligence

EXCLUDED:
- Tertiary education
- Adult retraining
- AI-delivered education systems
- Cross-country comparative scoring
- Automated grading systems

COMPATIBILITY:
- Education OS v1.0 plugs into:
  - Finance OS (FIN-FAM-RWY)
  - Governance OS (GOV-GEN)
  - City OS spines
INHERITANCE:
- City OS and Place pages inherit EduOS rules
- They may add sensors and binds, not alter logic

META FAILURE TRACE:
unbounded expansion
→ inconsistent terminology
→ reader confusion
→ AI extraction ambiguity
→ loss of executable meaning

Correct trace:
version freeze
→ strict index
→ forward-only upgrades
→ machine-legible consistency
→ executable ontology

ASSERTION:
Education OS v1.0 is complete,
internally consistent,
and executable as a lattice specification.
All future work builds forward from this base.

VERSION:
Education OS: v1.0
Global Tag: AC.v1.0
Manifest Type: Freeze / Release
Forward-Only Rule: Enabled