ψπ / PSI PI AI
Research review · selected outputs · September 2026

From anatomical geometry
to complex-state response.

New overview graphic · Download SVG · conceptual architecture

01 / Geometry

Keep the anatomy attached.

Pins, LiteralPairs, DarkLanes, facets, wedges and backbones describe related geometric support. Object passports connect these structures to source observations and anatomical coordinates.

02 / Complex state

Preserve the imaginary channel.

Real and imaginary components, phase hulls, Cartan rails and ladder diagnostics provide complementary state descriptions. V23 allocation and one-ninth shell calibration remain separate observables.

03 / Probe response

Record the call and return.

Probe prototypes organize a driven core, candidate return field and modulo capture ledger. The proposed workbench links response traces to the same selected anatomical object.

Visual evidence index

Inspect the output. Open the original.

PNG previews are paired with editable MATLAB figures wherever a matching file is available. Source titles such as “invariant” identify the analysis output; they do not replace checks of registration, correspondence or repeatability.

Anatomical backbone & ribbons
Anatomical object

Anatomical backbone & ribbons

FLAIR slice 121: an illustrated backbone connects pins, pair relations, DarkLanes and ribbon overlays. Reported scores and admission labels belong to the source figure.

Invariant cluster centroids
Visit comparison

Invariant cluster centroids

Candidate constellation centroids from the MPRAGE visit-comparison workup. Inspect the MATLAB figure alongside the associated cluster tables.

Constellation support points
Geometric support

Constellation support points

The point-level view accompanying the constellation analysis preserves spatial support beyond the centroid summary.

Interior candidate seeds
Probe candidates

Interior candidate seeds

Candidate interior seeds provide locations for further inspection and probe targeting.

Hotspot interior support
Spatial evidence

Hotspot interior support

Spatial support associated with the hotspot-overlap analysis. Coverage and registration determine the scope of comparison.

Six workups · three modalities
Comparative summary

Six workups · three modalities

Source summary for MPRAGE, T2W and FLAIR across two visits. Equal counts and repeated node labels require correspondence checks before establishing anatomical persistence.

Basis deformation across modulo settings
Operator diagnostics

Basis deformation across modulo settings

A parameter sweep of mean basis deformation; the horizontal axis is modN, not elapsed time.

Response entropy across modulo settings
Operator diagnostics

Response entropy across modulo settings

Normalized response entropy and its plateau across the sampled modulo settings.

SU(2) pair Casimir diagnostics
Operator diagnostics

SU(2) pair Casimir diagnostics

Pair Casimir proxy versus stability, with a signed color channel. These are reported computational diagnostics.

Phase-inertia / reversion proxy
Operator diagnostics

Phase-inertia / reversion proxy

A spatially indexed reversion proxy. The very large outlier requires checking the defining formula before assigning a decay-time interpretation.