Identity — Transported Identity Projector Lab

Identity — unmarked persistence instrument

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VISUAL SYSTEM · MINI AI LABS

Near-black laboratory. Cyan live · bronze Λ-ghost · mint lock. No type on stills. Record: CITY-LABS-VISUAL-SYSTEM-20260915.

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IDENTITY · persistence

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OPEN LIVE

Open Identity · Mini AI Labs portal

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VISUAL SYSTEM · MINI AI LABS

Caption stripped. Near-black laboratory, cyan live, bronze Λ-ghost, mint lock. No type on stills.

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IDENTITY · persistence

IDENTITY · live persistence lab

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Mini AI Lab 08 · Identity

Persistence · What remains the same as the system changes?

Launch Identity

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Core object

Identity tracks a time-dependent invariant sector through changing carriers and representations.

$$ X_t\to A_t\to P_t\to U_tP_tU_t^\dagger\to P_{t+1} $$

The formal engine is the Transported Identity Projector (TIP). The public lab name is Identity.

Primary test

$$ P_{t+1}\overset{?}{\approx}U_tP_tU_t^\dagger $$

A low transport residual indicates that the selected invariant sector persists through admissible change. Rank changes are treated as birth/death events rather than exact unitary transport.

Core observables

$\operatorname{rank}P_t$ · invariant-sector dimension
$\|P_{t+1}-U_tP_tU_t^\dagger\|_F$ · transport residual
$\operatorname{Tr}(P_{t+1}U_tP_tU_t^\dagger)$ · subspace overlap