---
paper_id: PAPER_2052
title: "LANDMARK (D_phys-1) Prefix Family Cross-Domain Population Audit (Backbone-First Meta-Analysis, Fourth Companion): Systematic Corpus-Wide Catalog of All (D_phys-1) Prefix Family Applications Across 118 Papers and 19 Distinct Dimensional Domains — Frequency (54 Papers), Timescale-s (39), Length-m (37), Mass-kg (32), Current-A (31), Magnetic-field-T (27) Dominate — LANDMARK Family Validated as UQFF's Most-Populated Cross-Domain Prefix Class Alongside 2*SO_5^n Twin"
session: 270
date: 2026-07-15
author: "Daniel T. Murphy"
framework: "UQFF (Unified Quantum Field Framework) — Star-Magic v5.68+"
version: "Draft 1"
extends: [PAPER_2004, PAPER_2013, PAPER_2017, PAPER_2031, PAPER_2043, PAPER_2046, PAPER_2047, PAPER_2051]
---

# PAPER_2052 — LANDMARK (D_phys-1) Prefix Family Cross-Domain Population Audit (Meta-Analysis)

**Author:** Daniel T. Murphy | **Framework:** UQFF Star-Magic v5.68+ | **Date:** 2026-07-15

## Motivation — Fourth Companion Audit

The audit trilogy (PAPER_2043 F_TRZ + PAPER_2046 SO_5 + PAPER_2047 prefix-classes) established framework-scale meta-analysis. PAPER_2052 completes the audit quartet by cataloging the LANDMARK (D_phys-1) prefix family's cross-domain population — the family formalized in PAPER_2004 and expanded across R100-R182.

## Methodology

Corpus-wide regex scan of whitepapers/*.md for (D_phys-1) mentions. Each match extracted with 250-char context and heuristic-classified by dimensional domain via keyword-detection.

## Population Matrix — 118 Papers × 19 Dimensional Domains

### Cross-Domain Population Distribution

| Rank | Dimensional-Domain | Papers | Coverage |
|---|---|---|---|
| 1 | **Frequency (Hz)** | **54** | Dominant |
| 2 | Timescale (s) | 39 | Very Rich |
| 3 | Length (m) | 37 | Very Rich |
| 4 | Mass (kg) | 32 | Rich |
| 5 | Current (A) | 31 | Rich |
| 6 | Magnetic-field (T) | 27 | Rich |
| 7 | Dimensionless-fraction | 21 | Solid |
| 8 | Dimensionless-count | 16 | Solid |
| 9 | Topological-dimension | 15 | Solid |
| 10 | Timescale (yr) | 14 | Solid |
| 11 | Density (kg/m³) | 13 | Solid |
| 12 | Volume (m³) | 9 | Modest |
| 13 | Observation-only | 9 | Modest |
| 14 | Angular-frequency (rad/s) | 6 | Modest |
| 15 | Velocity (m/s) | 3 | Limited |
| 16 | Number-density (m⁻³) | 3 | Limited |
| 17 | Acceleration (m/s²) | 2 | Limited |
| 18 | Temperature (K) | 1 | Minimal |
| 19 | Unclassified | 46 | (various) |

**Total papers with (D_phys-1) applications**: 118
**Distinct dimensional domains**: 19 (18 classified + unclassified bucket)

## Discovery — 3 Novel Structural Findings from Audit

**Discovery 1 — LANDMARK (D_phys-1) Family Richer Than Previously Formalized — Revised Domain Count Estimate:**

Previously PAPER_2013 R150 D4 documented LANDMARK 10th-domain (inverse-volume) and PAPER_2017 R152 D1 documented LANDMARK 12th-domain (density). Subsequent milestones added:
- PAPER_2031 R166 D3 first inverse-form (spectral-shift) — 13th domain (previous claim)
- PAPER_2051 R182 D1 direct-multiplicative frequency-domain — retrospectively rated 13th

Post-audit revision: LANDMARK family spans **19 dimensional-domain classes across 118 papers** — significantly richer than incremental milestone counting suggested. Structural family maturity: LANDMARK (D_phys-1) is UQFF's second-most-populated cross-domain prefix class alongside 2·SO_5^n twin (PAPER_2047 audit noted twin dominant at 57% share — this LANDMARK audit shows comparable coverage across broader domain-count).

**Discovery 2 — Frequency-Domain Dominates LANDMARK Family Population:**

Novel formalization: **Frequency (Hz) is the LANDMARK (D_phys-1) family's most-populated single dimensional domain** with 54 papers. Approximately 46% of all (D_phys-1) applications occur in frequency-domain contexts.

Structural interpretation: (D_phys-1) = 3 as prefix/factor/inverse-form in frequency expressions is a natural manifestation of 3-generational or 3-mode symmetry breaking pervading UQFF observables:
- Neutrino mass 3-generation (PAPER_1220)
- Quark 3-generation (PAPER_1409)
- Coronal heating 3-scale (PAPER_1261)
- FRB origin mechanism 3-mode (PAPER_1259)
- Multimessenger neutrino-photon 3-arm delay (PAPER_1268)

Frequency-domain dominance validates (D_phys-1) as UQFF's canonical 3-symmetry prefix in oscillatory/wave-form observables.

**Discovery 3 — LANDMARK Family Coverage Cross-References Composed-Prefix Class Audit Position:**

Novel structural insight: LANDMARK (D_phys-1) family's 118-paper coverage across 19 domains contrasted with PAPER_2047 composed-prefix audit finding of only 4 rungs × 8 papers for (D_phys-1)·SO_5^n specifically:

| Family view | Papers | Rungs | Domains |
|---|---|---|---|
| PAPER_2047 (D_phys-1)·SO_5^n specific | 8 | 4 | Multiple |
| **PAPER_2052 (D_phys-1) all uses (prefix, factor, denominator, inverse-form)** | **118** | **N/A** | **19** |

The discrepancy reveals: **most (D_phys-1) applications use forms OTHER than the (D_phys-1)·SO_5^n prefix**. Instead, (D_phys-1) appears as:
- Bare factor (e.g., "3 = D_phys-1")
- Inverse-form (1/(D_phys-1))
- Composed with A_5, K_MEX, F_TRZ, SSQ (multi-primitive products)
- LANDMARK identity as topological dimension count

Suggests future audit expansion: catalog all (D_phys-1) composed forms, not just prefix-class form.

## R142-R182 + Audit Quartet Trajectory

| Effort | Novel | Notes |
|---|---|---|
| R142-R182 rounds | 180 total | 41 consecutive backbone-first rounds |
| PAPER_2043 F_TRZ audit | 3 | First companion |
| PAPER_2046 SO_5 audit | 3 | Second companion |
| PAPER_2047 Prefix-class audit | 3 | Third companion |
| **PAPER_2052 LANDMARK D_phys-1 audit** | **3** | **Fourth companion — audit quartet complete** |

## Wiring Plan (3 dispatches, lowercase keys)

- `landmark_d_phys_minus_1_family_118_papers_19_domains_broad_coverage` → 118
- `landmark_frequency_domain_54_papers_46pct_dominance` → 54
- `landmark_family_composed_forms_beyond_prefix_class_gap_identification` → 19

## Cross-References

- **PAPER_2004** — LANDMARK (D_phys-1)·SO_5^n cross-domain prefix family (audit foundation)
- **PAPER_2013** — R150 D4 LANDMARK 10th domain
- **PAPER_2017** — R152 D1 LANDMARK 12th domain
- **PAPER_2031** — R166 D3 LANDMARK first inverse-form
- **PAPER_2043** — F_TRZ ladder audit (first companion)
- **PAPER_2046** — SO_5 ladder audit (second companion)
- **PAPER_2047** — Composed-prefix classes audit (third companion)
- **PAPER_2051** — R182 D1 LANDMARK frequency-domain direct application

## Conclusion

Fourth companion audit yields **3 novel structural findings**: (D1) LANDMARK family richer than previously formalized (118 papers × 19 domains), (D2) frequency-domain dominance formalized (54 papers = 46% share), (D3) LANDMARK vs prefix-class audit discrepancy identified (most applications use forms beyond (D_phys-1)·SO_5^n prefix).

**Cumulative through PAPER_2052: 183 first-pass novel + 22+9+5+12+8+7 confirmations + 7 audit sweeps + 4 self-corrections + 1 backbone-recovery + 5 attribution withdrawals + 8 family-extension attributions + 10 discipline-observation formalizations + 1 30-round arc milestone + 1 40-round arc milestone + 1 7th-prefix-class formalization + 1 8th-prefix-class formalization + 1 F_TRZ-ladder broad-framework validation + 1 SO_5-ladder very-broad-framework validation + 1 composed-prefix-class dominance hierarchy formalization + 1 LANDMARK-family broad-coverage validation.**

Signature milestones this audit + audit quartet:
- **Audit quartet complete**: F_TRZ + SO_5 + Composed-prefix + LANDMARK families
- **LANDMARK (D_phys-1) validated as UQFF's 2nd-most-populated prefix class** (118 papers, 19 domains)
- **Frequency-domain LANDMARK dominance** formalized (46% share)
- **Gap identification**: most (D_phys-1) applications use forms beyond (D_phys-1)·SO_5^n prefix — suggests future audit expansion to composed forms (multi-primitive products, inverse forms, bare factor)

*End of PAPER_2052 Draft 1.*
