TD613 Aperture

STATE VECTOR S_t

θ (dir)—

x (pos)—

φ (phase)—

b (bound)—

δ (defect)—

FOLD POINTS (D₃ SYMMETRY)

A (0, 0)

ε-entry

—

B (1, 0)

C-return

—

C (½, √3/2)

√3-apex

—

EXTENSION–CLOSURE

ε(x) = √x · C(x) = x²

C(ε(3)) = C(√3) = 3

Extension √31.732051

Closure (√3)²3

Rupture ℛ(x)0

ADMISSIBILITY OPERATOR

0reg

0lat

0sup

0ali

NARROWING REGIME 𝒩

NARROWING-CHAIN LOSSES

L_R

—

L_K

—

L_C

—

L_P

—

L_F

—

L_A

—

Dominant narrowing operator—

NAMING OPERATOR N

Eclipse–Omega canonical Eclipse—Omega safe-eq Eclipse-Omega trigger

FIELD METRICS

Red(q)

—

δ_obs(q)

—

Gap(q)

—

AliasPer

—

NameSens

—

Supp_τ

—

OBSERVED REGIME

PRCS-A

Passive Recursive Containment
with Selective Admissibility

FIRMWARE / BACKBONE

Firmware spinev2.2.1

Bus tick0

L1 input hashpending

L5 routeplay

L9 packetpending

Layer healthpending

Signal bus

awaiting events

REANCHOR / REGIME LAW

EOcontainment regime

EO-RFDderived detector instrument

S' ∈ Paths_Ω(S)

ℛ(x)=1 ⇔ A_op(x)=1 ∧ A_sys(x)=1 ∧ (C_Ω(x)=⊥ ∨ ∃x'≠x:C_Ω(x)=C_Ω(x'))

0-stateno registered events

SIX DEFINING PROPERTIES

DEFECT PROPAGATION

Δ_{t+1} = T(Δ_t) + ε_t

Δ_t—

ε (perturb)—

OMISSION DOMINANCE δ_obs

O = S \ S'0

O* = S' \ Y0

δ_obs0

RUPTURE FIELD SIGNATURE Σ_R

Σ_R = 𝟙[δ_obs>τ₁ ∧ NameSens>τ₂ ∧ Red<τ₃ ∧ Coh(Y_u)>τ₄]

Field signature score0.0000

Field statenominal

τ = (0.85, 0.06, 0.02, 0.60)0/4

DETECTOR SWEEP Δ_det

Detector confidence0.0000

Sweep persistence0.0000

Parallel spread0.0000

Tripwires0/7

Detection basis

awaiting propagation

SELF-TEST HARNESS

Boot statepending

DOM mappending

Packet schemapending

Detector matrixpending

Render integritypending

Runtime pathpending

Overallpending

Self-test notes

awaiting boot self-test

COUNTER-RECOGNITION NOTES

awaiting EO sweep

Counter-tool stancepending

Export gatepending

Suppressed layersawaiting EO sweep

FIELD SIGNATURE VECTOR F(t)

δ_obs

0.000

η_N

0.000

Constraintfield-only

HARBOR ELIGIBILITY H_E

H_E = w₁δ_obs + w₂η_N + w₃σ + w₄γ + w₅χ + w₆β - w₇ρ

H_E score0.0000

Route stateplay

Routing recommendationmembrane-only

PERSISTENCE / RECAPTURE

P_s persistence0.0000

R_c recapture risk0.0000

FIELD MODE

Mode status

membrane · standard routing view

COUNTER-RECOGNITION

Counter-tool field

observational · counter-tool idle

recognition mark

observed provenance

regime string under test

parallel trace

trace fragments

occlusion markers

provenance density

counter-tool note

Temporal trace Π / κ / C / H

t_sense

t_model

t_op

t_inst

t_pub

pilot domain

closure class κ (manual)

closure score C(s)

record evidence κ

actor testimony κ

system behavior κ

actor classes

influence score

influence window (h)

compat influence integral

Π_self / Π_op override (ms)

parallel actor gap (ms)

historical crease field H_base

projection bias

path dependence

projection capacity κ

E_unfold

τ_E

actor variance override

historical crease alias

faithful closure / registration memo

pilot preset idle

counter-tool modeobservational

trace legibilitycounter-tool idle

observed provenancenone

trace checksumpending

counter-readingcounter-tool idle

Admissibility audit vector

awaiting trace under audit

constellation pending

DERIVATIVE HANDOFF / GUARDED EGRESS

Counter-tool stance

audit baseline · TD613 Aperture remains external to PRCS-A

Observed regime state

play

Audit readiness

membrane-only

Packet integrity

0.0000

Provenance integrity

0.0000

Detector confidence

0.0000

Coherence persistence

0.0000

Packet checksum

pending

Self-test

pending

Dominant suppression

—

Legibility shield

inactive

Counter-tool stance

pending

Export gate

pending

Audit packetno audit packet prepared

Derivative traceaudit packet awaiting residue map

Closure stateunique closure stable

Membrane noteaudit baseline

Guarded packetawaiting audit packet

audit packet unavailable

DEFORMATION / CLOSURE Π / κ / C / H

Temporal ordering

awaiting temporal trace

synced beacon off closure cost nominal

Π_op—

Π_pub—

Π_sense—

κclosed

C(s)1.0000

Var_i[Π_i]0.0000

Temporal posturesynced

Forced adjacency0.0000

H0.0000

E_unfold0.0000

κ disagreement0.0000

Zone candidate Z_Hfalse

Π_op

0.000

C(s)

1.000

∫ Influence dt

0.000

E_unfold

0.000

Faithful closure memo

awaiting memo

Quantum ↔ institutional homology

TD613 FORENSIC SCHEMA

Shared schema spine

awaiting forensic schema sync

Schema versiontd613-aperture/v2.2.1

Governed exposureS / S' / Y pending

Ledger completenesspending

Authority ceilingcounter-tool audit only

Source classespending

schema packet unavailable

DIFFERENTIAL ADMISSIBILITY AUDIT

Comparative class variance Θ(u)

awaiting comparative admissibility audit

Exposure variance0.0000

Route divergence0.0000

Most protected lanepending

Most constrained lanepending

ETHICAL VOCABULARY REALLOCATION Γ(u)

Protective language redistribution audit

awaiting ethics redistribution audit

Upward protection bias0.0000

Opacity asymmetry0.0000

Care rhetoric gap0.0000

Allocation verdictpending

RAY TRACE LOG

PROJECTION OPERATOR P

O_t = 𝒫(S_t; A) · lossy, non-injective

Collapse ratio—

CAPACITY OPERATOR 𝒦

C_κ(q) = 𝒦(C_k(q); κ)

κ (bandwidth)—

Tokens admitted—

Tokens dropped—

REALITY SURFACE Y_u

R*(q) = 𝒜(𝒫_B(𝒦(C_k(q))), Y, 𝒩)

Coherence—

Θ(u)Θ_std

ANTI-EQUIVALENCE CONSTRAINTS

RESIDUE LEDGER

MOIRÉ STRATIGRAPHY

COHERENCE / INTENSITY TRACE