Categorical research map · schema 4

Search the space of
physical computation.

Cintamani organizes computation claims by the model they assume, the material they may inhabit, and the physical mechanism that performs the work. Observation interface is shown honestly as a later fourth dimension.

The originating conjecture

Volumetric Recurrent Computing started this search

Cintamani began by asking whether persistent physical state can acquire useful computational depth through repeated evolution in one configured nonlinear three-dimensional medium.

The first selected simulated regime failed to gain reliable task accuracy from recurrence. That criticism narrowed the program; it did not silently erase the conjecture. The registry, research topics, and public criticism plane grew from the need to test its model, material, mechanism, control, and observation assumptions separately.

Read the originating conjecture

Registry check passed
Integrity ok; chain consistent.

4

Immutable admissions
Generation bootstrap-0004-0e32d9248223

0

Live edge mutations
Static JSON, generated during build.

The search volume

Four ordered dimensions

Axes 1–3 preserve the original three-dimensional conjecture. Axis 4 records the observation boundary added later; the distinction is part of the data contract.

  1. 1

    Original 3D axis

    Theoretical model

    1 admitted member

    • Normalized driven Kerr resonatorimplemented normalized model
      normalized-driven-kerr-resonator
      Assessment & provenance

      Migrated v1 status with its narrow normalized-model evidence source.

      Revision
      1
      Assessed
      2026-08-10
      Scope
      Normalized executable model only.
      Admission
      admission-ledger-12
  2. 2

    Original 3D axis

    Physical material

    2 admitted members

    • Abstract normalized Kerr mediumabstract placeholder
      abstract-normalized-medium

      Classification: abstract normalized medium

      Assessment & provenance

      Migrated v1 material boundary without adding evidence.

      Revision
      1
      Assessed
      2026-08-10
      Scope
      Taxonomic classification only; no material/device validation.
      Admission
      admission-domain-taxonomy-v1
    • Thin-film LiTaO3 candidateunvalidated candidate
      thin-film-litao3-candidate

      Classification: candidate physical material

      Assessment & provenance

      Migrated v1 material boundary without adding evidence.

      Revision
      1
      Assessed
      2026-08-10
      Scope
      Taxonomic classification only; no material/device validation.
      Admission
      admission-domain-taxonomy-v1
  3. 3

    Original 3D axis

    Physical calculation mechanism

    1 admitted member

    • Driven-dissipative Kerr mixingimplemented normalized model
      driven-dissipative-kerr-mixing
      Assessment & provenance

      Migrated v1 normalized mechanism status.

      Revision
      1
      Assessed
      2026-08-10
      Scope
      Implemented normalized Kerr term only.
      Admission
      admission-ledger-12
  4. 4

    Later-added fourth dimension

    Observation interface

    2 admitted members

    • Bus-output coherent quadratureimplemented normalized interface
      bus-mode-coherent-quadrature

      Classification: coherent quadrature

      Assessment & provenance

      Migrated v1 implemented normalized interface status.

      Revision
      1
      Assessed
      2026-08-10
      Scope
      Normalized observation interface only.
      Admission
      admission-ledger-13
    • Bus-output mode intensityimplemented normalized interface
      bus-mode-intensity

      Classification: intensity

      Assessment & provenance

      Migrated v1 implemented normalized interface status.

      Revision
      1
      Assessed
      2026-08-10
      Scope
      Normalized observation interface only.
      Admission
      admission-ledger-12

Bounded Cartesian view

Admitted cells and honest gaps

Every displayed coordinate is present in the bounded four-axis frontier. A gap means “not admitted,” not “refuted” and not “physically impossible.”

Admitted cell Explicit gap

Governed search cell

advanced local lead

Normalized Kerr / abstract medium / Kerr mixing / quadrature

cell-kerr-abstract-quadrature
Model
normalized driven kerr resonator
Material
abstract normalized medium
Mechanism
driven dissipative kerr mixing
Interface
bus mode coherent quadrature
Frame a conjecture here Propose a topic here

Governed search cell

tested local

Normalized Kerr / abstract medium / Kerr mixing / intensity

cell-kerr-abstract-intensity
Model
normalized driven kerr resonator
Material
abstract normalized medium
Mechanism
driven dissipative kerr mixing
Interface
bus mode intensity
Frame a conjecture here Propose a topic here

Unadmitted coordinate

gap

No cell occupies this coordinate

Model
normalized driven kerr resonator
Material
thin film litao3 candidate
Mechanism
driven dissipative kerr mixing
Interface
bus mode coherent quadrature

No governed evidence-bearing cell has been admitted here.

Frame a conjecture here Propose a topic here

Unadmitted coordinate

gap

No cell occupies this coordinate

Model
normalized driven kerr resonator
Material
thin film litao3 candidate
Mechanism
driven dissipative kerr mixing
Interface
bus mode intensity

No governed evidence-bearing cell has been admitted here.

Frame a conjecture here Propose a topic here

Epistemic perimeter

What this registry does not claim

The interface makes boundaries prominent because a navigable taxonomy can otherwise look stronger than its evidence.

Cloudflare delivery boundary

Fast at the edge. Static by design.

Cloudflare Workers Assets serves the checked registry snapshot. A separate public D1 plane now accepts immediately visible, explicitly unreviewed proposals and criticism; it cannot mutate the canonical registry. Only a maintainer-selected, content-addressed export can enter the existing domain admission preview and promotion workflow.