{
  "abstract": "Time in software is usually represented as an ordered sequence: log entries, frames, messages, events, commits, or samples. Sequential order is essential, but it makes multiscale reasoning expensive. The same stream must support questions about the current instant, the surrounding episode, recurring motifs, long-term drift, branch history, and exact provenance. The Fractal Temporal Operator (FTO) and Glyph Tape propose a multiresolution temporal representation in which events retain exact order while also belonging to nested, addressable temporal neighborhoods. Fine-scale detail can be unfolded near an active event; coarser summaries and motifs remain visible farther away. Repeated subgraphs or sequences can be represented through deterministic macros, but the tape never replaces exact history. The contribution is a disciplined composition of event sourcing, temporal pyramids, stable event identity, branch lineage, motif dictionaries, and foveated access. Geometry and recurrence organize time; they do not establish truth or guarantee compression. Performance claims remain gated behind comparison with ordinary indexes, segment trees, log compaction, dictionary compression, and competent lazy retrieval.",
  "author": "Hayden Lindley",
  "category": "Temporal Media",
  "claims": {
    "claims": [
      {
        "claim_id": "P12-C01",
        "evidence_refs": [
          "P12-S01",
          "P12-S02",
          "P12-S03"
        ],
        "limitations": [
          "Normative implementation and golden-vector suite remain to be consolidated."
        ],
        "public": true,
        "scope": "FTO/Glyph Tape architecture.",
        "statement": "Exact event streams can be projected into nested temporal cells, branch structures, and deterministic motifs without replacing canonical history.",
        "status": "SPECIFIED"
      },
      {
        "claim_id": "P12-C02",
        "evidence_refs": [
          "P12-S01",
          "P12-S03"
        ],
        "limitations": [
          "Matched lazy-log and retrieval benchmarks remain outstanding."
        ],
        "public": true,
        "scope": "Project, media, and agent histories.",
        "statement": "Multiresolution temporal retrieval reduces context movement while preserving relevant exact event proof.",
        "status": "HYPOTHESIS"
      },
      {
        "claim_id": "P12-C03",
        "evidence_refs": [
          "P12-S01",
          "P12-S02"
        ],
        "limitations": [
          "Must be compared with mature dictionary/log-compression baselines."
        ],
        "public": true,
        "scope": "Structured event families.",
        "statement": "Repeated temporal motifs can support deterministic macro reuse and compression.",
        "status": "HYPOTHESIS"
      }
    ],
    "disclosure_note": "Claims marked non-public in the authored ledger are omitted from this public artifact.",
    "paper": "p12-fractal-temporal-operator",
    "version": "0.1.0",
    "withheld_claim_count": 0
  },
  "date": "2026-07-27",
  "diagrams": {
    "diagrams": [
      {
        "brief": "Exact events at bottom grouped into episodes, phases, and eras, with active event foveation.",
        "format": "svg",
        "id": "P12-F01",
        "path": "/diagrams/p12-fractal-temporal-operator/P12-F01.svg",
        "status": "source-generated conceptual architecture",
        "title": "Nested temporal tape"
      },
      {
        "brief": "Main tape forks into alternatives and later merge proposal, preserving tombstones and exact event ancestry.",
        "format": "svg",
        "id": "P12-F02",
        "path": "/diagrams/p12-fractal-temporal-operator/P12-F02.svg",
        "status": "source-generated conceptual architecture",
        "title": "Branch-aware history"
      },
      {
        "brief": "Repeated event sequences mapped to one deterministic macro with parameter slots and exact expansion.",
        "format": "svg",
        "id": "P12-F03",
        "path": "/diagrams/p12-fractal-temporal-operator/P12-F03.svg",
        "status": "source-generated conceptual architecture",
        "title": "Temporal motif macro"
      }
    ],
    "paper": "p12-fractal-temporal-operator"
  },
  "evidence_state": "SPECIFIED",
  "id": "p12-fractal-temporal-operator",
  "institution": "Glyphd Labs",
  "integrity": {
    "claim_ledger_sha256": "b3e513b233aa64a29db08264d1e72e7aa9de047c82cd7e8d20b66a32ce3480ed",
    "paper_mdx_sha256": "cf9a36b31118002717667f3db986cf8b290896d403afb17a504ef08adcdc62e0"
  },
  "public_disclosure_boundary": "This paper publishes the public-safe multiresolution temporal architecture and benchmark hypotheses. It excludes confidential model traces, private project histories, unpublished algorithms, and patent-claim language. No storage or retrieval advantage is claimed until measured against competent baselines.",
  "publication_class": "public-safe working paper",
  "publication_url": "https://www.glyphd.com/papers/p12-fractal-temporal-operator",
  "revisions": {
    "paper": "p12-fractal-temporal-operator",
    "revisions": [
      {
        "date": "2026-07-27",
        "summary": "First synthesized public-safe institute edition compiled from the Glyphd project corpus.",
        "version": "0.1.0"
      }
    ]
  },
  "schema_version": "1.0.0",
  "slug": "p12-fractal-temporal-operator",
  "sources": {
    "notes": "Internal source paths are provenance references. Public publication must expose only approved public-safe excerpts or archived public artifacts.",
    "paper": "p12-fractal-temporal-operator",
    "sources": [
      {
        "date": "2026-07",
        "id": "P12-S01",
        "path": "bohselecta/fractal-tape / glyph-core",
        "title": "Fractal Tape and Glyph Core project corpus"
      },
      {
        "date": "2026-07-24",
        "id": "P12-S02",
        "path": "How_we_can_make_CAS_lightning_fast_for_any_LLM_by_design_or_adaptation.docx",
        "title": "GlyphCAS Design Report"
      },
      {
        "date": "2026-07-12",
        "id": "P12-S03",
        "path": "GLYPHDRIVE-FOVEA-SPEC-v0.2.md",
        "title": "GlyphDrive FOVEA Specification"
      },
      {
        "date": "2026-07",
        "id": "P12-S04",
        "path": "fractal-video.zip",
        "title": "Content-addressable video and OOC-V corpus"
      },
      {
        "date": "2026-03-27",
        "id": "P12-S05",
        "path": "run.export.md",
        "title": "Local model trace export"
      }
    ],
    "version": "0.1.0"
  },
  "subtitle": "The Fractal Temporal Operator and Glyph Tape for exact history, motifs, branches, and foveated recall",
  "title": "Multiresolution Time",
  "version": "0.1.0"
}