{ "id": "paper-1-status-2026-05", "type": "paper_status", "title": "Paper 1 \u2014 Status (May 2026)", "status": "active", "project": "paper_1", "date_published": "2026-05-12", "date_updated": "2026-05-12", "tags": [ "paper-1", "status", "tlt-foundation", "f-t-pulse", "axiomatic" ], "author": "Jonathan Shelton", "log_subtype": "paper_revision_status", "url": "https://prometheusresearch.tech/research/paper-status/paper-1-status-2026-05.html", "source_markdown_url": "https://prometheusresearch.tech/research/_src/paper-status/paper-1-status-2026-05.md.txt", "json_url": "https://prometheusresearch.tech/api/entries/paper-1-status-2026-05.json", "summary_excerpt": "Paper 1 is the foundational paper for Time Ledger Theory \u2014 establishes the f|t pulse axiom, the r=0.5 overflow ceiling, the {2,3} organizing pair, and derives cycle-1 dimensional structure from those axioms.\nVast majority of the paper is solid. Three axioms unchanged. Cycle-1 results (dims 1\u20133) unch...", "frontmatter": { "id": "paper-1-status-2026-05", "type": "paper_status", "title": "Paper 1 \u2014 Status (May 2026)", "date_published": "2026-05-12", "date_updated": "2026-05-12", "project": "paper_1", "status": "active", "log_subtype": "paper_revision_status", "tags": [ "paper-1", "status", "tlt-foundation", "f-t-pulse", "axiomatic" ], "author": "Jonathan Shelton", "see_also": [ "fibonacci-to-tribonacci-c-ladder-correction", "cipher-version-progression-audit" ], "attachments": [ { "path": "papers/paper-1/index.html", "role": "paper", "description": "Paper 1 as published \u2014 \"Time Ledger Theory: A Geometric Framework Deriving Dimensional Properties from a Single Frequency Pulse" } ] }, "body_markdown": "\n## Author notes\n\nPaper 1 is the foundation paper for Time Ledger Theory. It establishes\nthe three axioms (f|t pulse with decoherence parameter, r=0.5\noverflow ceiling, {2,3} as the sole crystal generators) and derives the\nfirst-cycle dimensional structure from those axioms.\n\n### What in the paper is solid (vast majority)\n\n- **The three axioms.** Unchanged. f|t pulse, r=0.5 decoherence\n ceiling, {2,3} organizing pair.\n- **Cycle 1 dimensional structure** (dims 1\u20133). All numerical results\n in this range stand: framerate formulae, energy boundaries, the\n derivation of c (speed of light) as the local framerate at dim 3,\n the emergence of \u03c6 from consecutive Fibonacci ratios.\n- **The 133-element survey result** (zero exceptions to {2,3}\n coordination for ambient-pressure crystals). Unchanged.\n- **Cycle structure prediction** (cycles of three dimensions:\n seed \u2192 flat \u2192 volumetric). The cycle structure is correct; what\n changed is the *recurrence engine* governing each cycle (see below).\n- **Boundary energy derivations** for the 2D\u21923D boundary (helium\n anomalies near 0.86 meV), 3D\u21924D boundary (pair production at\n 1.022 MeV), and the 4D\u21925D boundary suggestion (cosmic ray knee\n at ~3 PeV). All from cycle-1 framerate; all unchanged.\n- **Chirality derivation** as a consequence of framerate mismatch\n between consecutive dimensions. Unchanged.\n\n### What now needs a status note\n\n- **Cycle-2 recurrence.** The paper hints that the dimensional\n cascade extends past cycle 1 with a similar Fibonacci progression.\n This was approximately correct but the *exact* form is now known:\n cycle 2 uses Tribonacci, cycle 3 will use Pentanacci, cycle 4\n Octanacci. See the\n [c-ladder correction note](/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html)\n for the corrected derivation. The paper's cycle-2 hints are not\n *wrong*; they're *less specific* than the current framework.\n- **Specific c-values for dims 4\u20136** (if the paper quotes any) need\n the corrected ladder. Cycle-1 c-values (dims 1\u20133 \u2192 0.250, 0.625,\n 1.000) stand unchanged.\n\n### Revision approach\n\nSame as Paper 5: this status note serves as the canonical reference\nfor what's solid vs what's stale. The paper itself stays as published\n\u2014 the historical record of what the foundational paper said when it\nlaunched. Anyone using Paper 1 as a load-bearing reference for a\nprediction at d \u2265 4 should cross-check against the c-ladder correction\nnote before quoting numbers.\n\n### What Paper 1 still uniquely contributes\n\n- The axiomatic foundation. Every other paper builds on Paper 1's\n three axioms. They have not changed.\n- The cycle-structure framework. Refined since, but the *structure*\n (three-dimensional cycles, boundary phenomena, chirality from\n framerate mismatch) is intact.\n- The first-cycle derivations. These remain the cleanest examples\n of the framework's predictive style: take an axiom, derive a\n geometric relationship, predict an observed boundary energy\n within 1%.\n\n### Open: should Paper 1 get a refresh edition?\n\nA \"Paper 1 second edition\" that incorporates the cycle-specific\nrecurrence framework, the cipher v12 results, the magic-numbers\nderivation, and the Tribonacci refinement is reasonable to consider.\nTrade-off: the foundational paper should be stable; revising it too\noften signals instability. Current lean: status notes accumulate\nunder Paper 1 until a major coherent refresh is warranted (probably\nwhen Paper 10 lands and the framework has reached a natural plateau).\n\n## Summary\n\nPaper 1 is the foundational paper for Time Ledger Theory \u2014 establishes\nthe f|t pulse axiom, the r=0.5 overflow ceiling, the {2,3} organizing\npair, and derives cycle-1 dimensional structure from those axioms.\n\n**Vast majority of the paper is solid.** Three axioms unchanged.\nCycle-1 results (dims 1\u20133) unchanged. The 133-element survey result\nunchanged. Boundary-energy derivations unchanged. Chirality derivation\nunchanged.\n\n**What needs a status note:** the paper's *hints* about how the\ncascade extends past cycle 1. Cycle 2 uses Tribonacci (not Fibonacci);\ncycle 3 will use Pentanacci. The paper's hints are not wrong; they're\nless specific than the current framework. See the\n[c-ladder correction note](/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html)\nfor the corrected derivation.\n\n**Revision approach:** same as Paper 5 \u2014 this status note is the\ncanonical reference for what's solid vs stale. Paper 1 stays as\npublished. Anyone using it for a prediction at d \u2265 4 should\ncross-check against the correction note before quoting numbers.\n\n**Status: active.** Paper 1 remains the framework's foundation;\nstatus notes accumulate but no rewrite planned until the framework\nreaches a natural plateau (likely after Paper 10).\n", "body_html": "

Author notes

\n

Paper 1 is the foundation paper for Time Ledger Theory. It establishes the three axioms (f|t pulse with decoherence parameter, r=0.5 overflow ceiling, {2,3} as the sole crystal generators) and derives the first-cycle dimensional structure from those axioms.

\n

What in the paper is solid (vast majority)

\n\n

What now needs a status note

\n\n

Revision approach

\n

Same as Paper 5: this status note serves as the canonical reference for what's solid vs what's stale. The paper itself stays as published \u2014 the historical record of what the foundational paper said when it launched. Anyone using Paper 1 as a load-bearing reference for a prediction at d \u2265 4 should cross-check against the c-ladder correction note before quoting numbers.

\n

What Paper 1 still uniquely contributes

\n\n

Open: should Paper 1 get a refresh edition?

\n

A \"Paper 1 second edition\" that incorporates the cycle-specific recurrence framework, the cipher v12 results, the magic-numbers derivation, and the Tribonacci refinement is reasonable to consider. Trade-off: the foundational paper should be stable; revising it too often signals instability. Current lean: status notes accumulate under Paper 1 until a major coherent refresh is warranted (probably when Paper 10 lands and the framework has reached a natural plateau).

\n

Summary

\n

Paper 1 is the foundational paper for Time Ledger Theory \u2014 establishes the f|t pulse axiom, the r=0.5 overflow ceiling, the {2,3} organizing pair, and derives cycle-1 dimensional structure from those axioms.

\n

Vast majority of the paper is solid. Three axioms unchanged. Cycle-1 results (dims 1\u20133) unchanged. The 133-element survey result unchanged. Boundary-energy derivations unchanged. Chirality derivation unchanged.

\n

What needs a status note: the paper's *hints* about how the cascade extends past cycle 1. Cycle 2 uses Tribonacci (not Fibonacci); cycle 3 will use Pentanacci. The paper's hints are not wrong; they're less specific than the current framework. See the c-ladder correction note for the corrected derivation.

\n

Revision approach: same as Paper 5 \u2014 this status note is the canonical reference for what's solid vs stale. Paper 1 stays as published. Anyone using it for a prediction at d \u2265 4 should cross-check against the correction note before quoting numbers.

\n

Status: active. Paper 1 remains the framework's foundation; status notes accumulate but no rewrite planned until the framework reaches a natural plateau (likely after Paper 10).

", "see_also": [ "fibonacci-to-tribonacci-c-ladder-correction", "cipher-version-progression-audit" ], "cited_by": [ "paper-revision-sync-audit" ], "attachments": [ { "path": "papers/paper-1/index.html", "role": "paper", "description": "Paper 1 as published \u2014 \"Time Ledger Theory: A Geometric Framework Deriving Dimensional Properties from a Single Frequency Pulse" } ], "schema_version": "1.0", "generated_at": "2026-05-12T03:27:18.533879Z" }