{ "id": "paper-2-status-2026-05", "type": "paper_status", "title": "Paper 2 \u2014 Status (May 2026)", "status": "active", "project": "paper_2", "date_published": "2026-05-12", "date_updated": "2026-05-12", "tags": [ "paper-2", "status", "dimensional-recursion", "sm-mapping", "uhecr" ], "author": "Jonathan Shelton", "log_subtype": "paper_revision_status", "url": "https://prometheusresearch.tech/research/paper-status/paper-2-status-2026-05.html", "source_markdown_url": "https://prometheusresearch.tech/research/_src/paper-status/paper-2-status-2026-05.md.txt", "json_url": "https://prometheusresearch.tech/api/entries/paper-2-status-2026-05.json", "summary_excerpt": "Paper 2 (\"Dimensional Recursion\") extends the framework to map the Standard Model onto d=3\u2192d=4 physics, the cosmic-ray knee as d=4.008, vacuum energy as the 2D\u21923D boundary, UHECRs as d=5 events, and BSM physics as d > 4.\nSolid: SM-as-d=3\u2192d=4 mapping, d=4.008 cosmic-ray knee, vacuum energy at 2D\u21923D b...", "frontmatter": { "id": "paper-2-status-2026-05", "type": "paper_status", "title": "Paper 2 \u2014 Status (May 2026)", "date_published": "2026-05-12", "date_updated": "2026-05-12", "project": "paper_2", "status": "active", "log_subtype": "paper_revision_status", "tags": [ "paper-2", "status", "dimensional-recursion", "sm-mapping", "uhecr" ], "author": "Jonathan Shelton", "see_also": [ "fibonacci-to-tribonacci-c-ladder-correction", "magic-numbers-geometric-derivation" ], "attachments": [ { "path": "papers/paper-2/index.html", "role": "paper", "description": "Paper 2 \"Dimensional Recursion\" as published" } ] }, "body_markdown": "\n## Author notes\n\nPaper 2 is \"Dimensional Recursion\" \u2014 the extension of Paper 1's\nframework that maps the Standard Model onto dimensional dynamics\n(SM as d=3\u2192d=4 physics), the cosmic-ray knee as a d=4.008 boundary\nevent, vacuum energy as a 2D\u21923D boundary phenomenon, UHECRs as\nd=5 events, and BSM physics as d > 4.\n\n### What in the paper is solid\n\n- **Standard Model mapping to d=3\u2192d=4.** The framework's claim that\n the SM lives at the d=3\u2192d=4 transition is intact. The d=4.008\n cosmic-ray knee is unchanged.\n- **Vacuum energy as 2D\u21923D boundary.** The boundary-energy formula\n gives ~10\u207b\u00b9\u00b2 erg/cm\u00b3 for the 2D\u21923D transition, consistent with\n the observed vacuum-energy density within an order of magnitude\n (which is *enormous* progress vs the 120-orders-of-magnitude\n failure of QFT zero-point energy estimates).\n- **The cycle-1 framework underpinnings.** All of Paper 2's\n derivations that rest on cycle-1 framerates are unchanged.\n\n### What now needs a status note\n\n- **UHECRs as d=5 events.** This is where the\n [c-ladder correction](/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html)\n bites. UHECRs sit at d \u2248 5 \u2014 *in cycle 2*. The paper quotes\n cycle-2 framerate values from the old Fibonacci/8 ladder. These\n values need to be re-derived under the Tribonacci framework. The\n *qualitative* claim (UHECRs as cycle-2 boundary events) stands;\n the *quantitative* energy threshold predictions need refresh.\n- **BSM hints at d > 4.** Same issue as UHECRs. Qualitative\n framework intact; quantitative predictions need cycle-2-aware\n re-derivation.\n- **Magic numbers as cycle-2 phenomenon.** Paper 2 may hint at\n magic numbers; the cleanest derivation now lives in the\n [magic-numbers note](/research/notes/magic-numbers-geometric-derivation.html)\n with all seven derived from the cycle-1 and cycle-2 frustration\n overtones. If Paper 2 quotes pre-correction magic-number\n reasoning, the note supersedes.\n\n### Revision plan\n\nTwo pieces of pending work:\n1. **UHECR re-derivation under corrected c-ladder.** This is an\n active TODO \u2014 needs to be run. When complete, results either\n confirm the qualitative picture (UHECRs as cycle-2 boundary)\n or surface a new discrepancy. Either is a finding.\n2. **Status-note approach for the published paper.** Same as\n Paper 1 and 5 \u2014 the paper stays as published; this status\n note is the canonical reference for what's solid vs stale.\n\n### Why Paper 2 matters\n\nThe Standard Model mapping in Paper 2 is one of the framework's\nmost ambitious claims \u2014 that the SM isn't a separate theory but\nthe *boundary physics* of the d=3\u2192d=4 transition. If that holds,\nthe framework subsumes the SM's particle content as a *consequence*\nof the cycle-1/cycle-2 boundary rather than as a fundamental\nspecification. This is a strong claim and Paper 2 carries it.\n\nThe vacuum-energy result (within an order of magnitude vs the\nQFT 120-orders-of-magnitude failure) is the cleanest empirical\nsupport for that claim. It's not \"exact\" but it's not wrong by\n120 orders of magnitude either.\n\n### Open: future Paper 2 v2\n\nA second edition incorporating the cycle-2 corrections, the magic-numbers\nderivation, and the cipher v12 results is reasonable. Probably wait until\nafter Paper 10 / framework plateau.\n\n## Summary\n\nPaper 2 (\"Dimensional Recursion\") extends the framework to map the\nStandard Model onto d=3\u2192d=4 physics, the cosmic-ray knee as d=4.008,\nvacuum energy as the 2D\u21923D boundary, UHECRs as d=5 events, and BSM\nphysics as d > 4.\n\n**Solid:** SM-as-d=3\u2192d=4 mapping, d=4.008 cosmic-ray knee, vacuum\nenergy at 2D\u21923D boundary (within an order of magnitude vs the\n120-orders-of-magnitude failure of QFT estimates), all cycle-1\nunderpinnings.\n\n**Needs status note:** UHECR predictions at d=5 use cycle-2 values\nfrom the old Fibonacci/8 ladder. The\n[c-ladder correction](/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html)\nrequires re-derivation under the Tribonacci framework. Qualitative\nclaims stand; quantitative thresholds need refresh.\n\n**Why Paper 2 matters:** subsumes the Standard Model's particle\ncontent as a *consequence* of cycle-1/cycle-2 boundary physics\nrather than a fundamental specification. The vacuum-energy result\n(order of magnitude vs QFT's 120-orders-of-magnitude failure) is\nthe cleanest empirical support.\n\n**Status: active.** UHECR re-derivation is an active TODO. Status\nnote approach for the published paper \u2014 same as Paper 1 and 5.\n", "body_html": "

Author notes

\n

Paper 2 is \"Dimensional Recursion\" \u2014 the extension of Paper 1's framework that maps the Standard Model onto dimensional dynamics (SM as d=3\u2192d=4 physics), the cosmic-ray knee as a d=4.008 boundary event, vacuum energy as a 2D\u21923D boundary phenomenon, UHECRs as d=5 events, and BSM physics as d > 4.

\n

What in the paper is solid

\n\n

What now needs a status note

\n\n

Revision plan

\n

Two pieces of pending work: 1. UHECR re-derivation under corrected c-ladder. This is an active TODO \u2014 needs to be run. When complete, results either confirm the qualitative picture (UHECRs as cycle-2 boundary) or surface a new discrepancy. Either is a finding. 2. Status-note approach for the published paper. Same as Paper 1 and 5 \u2014 the paper stays as published; this status note is the canonical reference for what's solid vs stale.

\n

Why Paper 2 matters

\n

The Standard Model mapping in Paper 2 is one of the framework's most ambitious claims \u2014 that the SM isn't a separate theory but the *boundary physics* of the d=3\u2192d=4 transition. If that holds, the framework subsumes the SM's particle content as a *consequence* of the cycle-1/cycle-2 boundary rather than as a fundamental specification. This is a strong claim and Paper 2 carries it.

\n

The vacuum-energy result (within an order of magnitude vs the QFT 120-orders-of-magnitude failure) is the cleanest empirical support for that claim. It's not \"exact\" but it's not wrong by 120 orders of magnitude either.

\n

Open: future Paper 2 v2

\n

A second edition incorporating the cycle-2 corrections, the magic-numbers derivation, and the cipher v12 results is reasonable. Probably wait until after Paper 10 / framework plateau.

\n

Summary

\n

Paper 2 (\"Dimensional Recursion\") extends the framework to map the Standard Model onto d=3\u2192d=4 physics, the cosmic-ray knee as d=4.008, vacuum energy as the 2D\u21923D boundary, UHECRs as d=5 events, and BSM physics as d > 4.

\n

Solid: SM-as-d=3\u2192d=4 mapping, d=4.008 cosmic-ray knee, vacuum energy at 2D\u21923D boundary (within an order of magnitude vs the 120-orders-of-magnitude failure of QFT estimates), all cycle-1 underpinnings.

\n

Needs status note: UHECR predictions at d=5 use cycle-2 values from the old Fibonacci/8 ladder. The c-ladder correction requires re-derivation under the Tribonacci framework. Qualitative claims stand; quantitative thresholds need refresh.

\n

Why Paper 2 matters: subsumes the Standard Model's particle content as a *consequence* of cycle-1/cycle-2 boundary physics rather than a fundamental specification. The vacuum-energy result (order of magnitude vs QFT's 120-orders-of-magnitude failure) is the cleanest empirical support.

\n

Status: active. UHECR re-derivation is an active TODO. Status note approach for the published paper \u2014 same as Paper 1 and 5.

", "see_also": [ "fibonacci-to-tribonacci-c-ladder-correction", "magic-numbers-geometric-derivation" ], "cited_by": [ "paper-revision-sync-audit" ], "attachments": [ { "path": "papers/paper-2/index.html", "role": "paper", "description": "Paper 2 \"Dimensional Recursion\" as published" } ], "schema_version": "1.0", "generated_at": "2026-05-12T03:27:18.533879Z" }