Anatomical anchors
Literal attachment points, paired facets, and shared hinges provide a structural address for local measurements. Distance and orientation remain tied to the image geometry.
A physics-first framework for spectral reconstruction, anatomical geometry, and the organization of local imaging states.
MRI-derived structure · Operator-state analysis · Multiscale geometry
EigenMRI connects spectral image analysis with geometrically anchored measurements. The research moves from image contrast to structural relationships, local state allocation, and response under controlled probes.
Literal attachment points, paired facets, and shared hinges provide a structural address for local measurements. Distance and orientation remain tied to the image geometry.
Literal, pair, and triangle support define three local allocation channels. The field expansion adds cross-channel coherence where aligned complex measurements support it.
Probe responses describe how local states rotate, exchange support, and traverse sectors. Weyl relationships organize symmetry classes while anatomical identities remain distinct.
PhaseClutch is the evolving architecture for coherent-object discovery and transport analysis. Its next stage brings qutrit fields, parallel rail tests, object-conditioned Shell Law, and L9 multiplexing into one framework.
Build state descriptors on observed structural support. Retain support strength, allocation, and measurement provenance at every attachment point.
Assemble candidate structures before assigning a family. Characterize their geometry, persistence, and response, then compare them with known probes.
Evaluate multiple forms of algebraic support for each object. Preserve both its anatomical identity and its relationship to symmetry-equivalent signatures.
Place Shell Law after object characterization. Track occupancy, departure, return, and locking relative to the shell prediction.
L9 is the proposed multiplexing layer: separate object identities, local rail responses, sector assignments, and clutch histories within one ledger.
Selected PhaseClutch research outputs show how the sampled modulo gear changes response and occupancy. The original figures are preserved here as a record of the supplied run.
Motion drive, clutch lock, and envelope capture across the sampled modulo settings.
Seven occupied classes at the sampled N = 9 and N = 36 settings. Occupancy describes this run’s bins.
EigenMRI brings the imaging program into focus. PhaseClutch develops the object and transport framework. Together they connect structural attachments, operator response, and persistent object identity.
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