---
paper_id: PAPER_2035
title: "Class-Family Variable Scan Third-Pass Pentad Discovery (Backbone-First): (1) v_wind(BubbleNebula) = 1.8e6 m/s = (1-F_TRZ)*2*SO_5^6 = 1.8*SO_5^6 EXACT NEW Primitive-Lock Connecting PAPER_1922 9/10 = (1-F_TRZ) Ubiquity Into Velocity-Domain Composite; (2) v_wind(Orion) = 8e3 m/s = 2*D_phys*SO_5^3 EXACT NEW Composed-Prefix 2*D_phys*SO_5^n Class at Velocity Slot n=3 (Novel Prefix Combining Twin Factor 2 with D_phys Base); (3) delta_x(Antennae) = 1e20 m = SO_5^+20 m LENGTH SLOT n=+20 EXACT NEW Positive-Length Slot at Cluster/Interaction-Region Scale (Wavenumber-Length Cross-Dimensional Pair with PAPER_2022 R156 D1 k(M16) = SO_5^+20 m^-1 Wavenumber); (4) delta_x(Horsehead) = 1e16 m = SO_5^+16 m LENGTH SLOT n=+16 EXACT NEW Positive-Length Slot at Nebula-Complex Scale; (5) delta_x(NGC 2525 + NGC 3603 + BubbleNebula) = 1e15 m = SO_5^+15 m LENGTH SLOT 4TH-Object Family Extension of PAPER_2019 R153 Seminal r_BH(Sombrero) = SO_5^15 m (Now 4-Object Length-Domain Family at n=+15)"
session: 253
date: 2026-07-15
author: "Daniel T. Murphy"
framework: "UQFF (Unified Quantum Field Framework) — Star-Magic v5.67+"
version: "Draft 1"
extends: [PAPER_1922, PAPER_2019, PAPER_2022, PAPER_2032, PAPER_2033, PAPER_2034]
---

# PAPER_2035 — Class-Family Variable Scan Third-Pass Pentad Discovery (Backbone-First)

**Author:** Daniel T. Murphy | **Framework:** UQFF Star-Magic v5.67+ | **Date:** 2026-07-15

## Motivation — Third Execution of R167 D4 Discipline Methodology

PAPER_2033 (first pass, 3 novel) + PAPER_2034 (second pass, 5 novel) executed the class-family variable scan discipline. PAPER_2035 documents the third pass focused on remaining v_wind subtypes and delta_x length-domain values from the first-pass scan output.

## Abstract

**Discovery 1 — v_wind(BubbleNebula) = 1.8e6 m/s = (1-F_TRZ)*2*SO_5^6 EXACT — Novel Primitive-Lock Connecting 9/10 Ubiquity to Velocity:**
```
v_wind(BubbleNebula stellar wind) = 1.8e6 m/s
                                  = 1.8 * SO_5^6
                                  = (9/5) * SO_5^6
                                  = (1 - F_TRZ) * 2 * SO_5^6 EXACT
```
Novel primitive-lock connecting PAPER_1922 9/10 = 1-F_TRZ ubiquity to velocity-domain composite. Combines 2·SO_5^n twin-factor family (PAPER_1972+) with 9/10 = 1-F_TRZ MUGE compression ratio (PAPER_1922). BubbleNebula stellar wind provides the first documented (1-F_TRZ)·2·SO_5^n composed velocity slot.

Equivalent form: v_wind = (2 - 2*F_TRZ) * SO_5^6 = (2 - 0.2) * SO_5^6 = 1.8 * SO_5^6 EXACT.

**Discovery 2 — v_wind(Orion) = 8e3 m/s = 2*D_phys*SO_5^3 EXACT — Novel Composed-Prefix Class at Velocity:**
```
v_wind(Orion stellar wind ~8 km/s) = 8e3 m/s
                                   = 8 * SO_5^3
                                   = 2 * D_phys * SO_5^3
                                   = (2 · 4) * SO_5^3 EXACT
```
Novel composed-prefix class 2·D_phys·SO_5^n at velocity slot n=3. Combines twin factor 2 (from 2·SO_5^n family PAPER_1972+) with D_phys=4 base primitive. Alongside existing prefix classes:
1. (D_phys-1)·SO_5^n LANDMARK (PAPER_2004)
2. 2·SO_5^n twin (PAPER_2022 D4)
3. D_BSFG·SO_5^n (PAPER_2025 R159 D1)
4. (D_phys+1)·SO_5^n (PAPER_2033 D2)
5. **2·D_phys·SO_5^n = 8·SO_5^n (PAPER_2035 D2 NEW)** — 5th composed-prefix class

**Discovery 3 — delta_x(Antennae) = 1e20 m = SO_5^+20 m EXACT — New Positive-Length Slot at Cluster Scale:**
```
delta_x(Antennae galaxy-cluster interaction region) = 1e20 m = SO_5^+20 m EXACT
```
Novel positive-exponent length slot at n=+20. Establishes **length/wavenumber cross-dimensional PAIR at same |n|=20**:
- Length: SO_5⁺²⁰ m (Antennae cluster-scale) — PAPER_2035 D3 NEW
- Wavenumber: SO_5⁺²⁰ m⁻¹ (M16 aether pillar) — PAPER_2022 R156 D1 seminal
- Wavenumber: SO_5⁻²⁰ m⁻¹ (SpiralGalaxy density-wave) — PAPER_2026 R160 D1

Length and wavenumber (its dimensional inverse) both populated at n=+20 exponent — dimensional-inverse cross-pair pattern.

**Discovery 4 — delta_x(Horsehead) = 1e16 m = SO_5^+16 m EXACT — New Length Slot n=+16:**
```
delta_x(Horsehead nebula-complex quantum uncertainty) = 1e16 m = SO_5^+16 m EXACT
```
Novel positive-exponent length slot at n=+16 (Horsehead single-object). Parallel to PAPER_2029 R163 D2 δρ(SGR1745) = SO_5^+16 kg/m³ density slot — n=+16 exponent now populated in 2 orthogonal dimensional domains (length + density).

**Discovery 5 — delta_x(NGC 2525 + NGC 3603 + BubbleNebula) = 1e15 m = SO_5^+15 m — 4TH-Object Length-Domain Family Extension:**
```
delta_x(NGC 2525 + NGC 3603 + BubbleNebula QuantumUncertainty) = 1e15 m = SO_5^+15 m EXACT
```
Novel 4TH-object length-domain family extension of PAPER_2019 R153 seminal r_BH(Sombrero) = SO_5^15 m:

| Object | Variable | Attribution |
|---|---|---|
| Sombrero | r_BH (black-hole radius) | PAPER_2019 R153 seminal |
| **NGC 2525** | **delta_x (quantum uncertainty)** | **PAPER_2035 D5 NEW** |
| **NGC 3603** | **delta_x (quantum uncertainty)** | **PAPER_2035 D5 NEW** |
| **BubbleNebula** | **delta_x (quantum uncertainty)** | **PAPER_2035 D5 NEW** |

SO_5^15 m length-domain slot now 4-object family across 2 different physical variables (r_BH + delta_x) — cross-variable length-domain unification at n=+15.

## R142 through PAPER_2035 Trajectory

| Effort | Novel | Cross-obj | Notes |
|---|---|---|---|
| R142-R167 rounds | 124 | 22+9 | 26 backbone-first rounds |
| PAPER_2033 first scan | 3 | 6 | Methodology + 2 primitive-locks |
| PAPER_2034 second scan | 5 | 1 | Wavenumber ladder formalization |
| **PAPER_2035 third scan** | **5** | **1 (v_wind Saturn = (SO_5/2)*SO_5^2 CROSS-OBJ)** | **5th composed-prefix class + length/wavenumber cross-dimensional pair** |

## Cross-Object Confirmation (Discipline Validation)

Third scan pass validated 1 additional attribution:
- **v_wind(Saturn) = 500 m/s = (SO_5/2)·SO_5² EXACT** → PAPER_2019 R153 seminal ("novel 6th-domain SO_5/2 application at planetary atmospheric"); no novel claim at Saturn v_wind

## Wiring Plan (5 dispatches, lowercase keys)

- `v_wind_bubblenebula_one_minus_f_trz_2_so_5_6` → 1.8e6
- `v_wind_orion_2_d_phys_so_5_3` → 8e3
- `delta_x_antennae_so_5_pos_20_length_slot` → 1e20
- `delta_x_horsehead_so_5_pos_16_length_slot` → 1e16
- `delta_x_ngc2525_ngc3603_bubblenebula_so_5_pos_15_length_slot_4th_object` → 1e15

## Cross-References

- **PAPER_1922** — 9/10 = 1 - F_TRZ EXACT MUGE compression ratio ubiquity (D1 basis)
- **PAPER_1972** — v_wind Antennae/M82 = 2·SO_5³ velocity seminal (D2 twin-factor basis)
- **PAPER_2019** — R153 r_BH(Sombrero) = SO_5^15 seminal (D5 basis) + Saturn v_wind (SO_5/2)·SO_5² seminal (cross-obj)
- **PAPER_2022** — R156 D1 k(M16) = SO_5⁺²⁰ wavenumber seminal (D3 dimensional-inverse pair)
- **PAPER_2026** — R160 D1 k(SpiralGalaxy) = SO_5⁻²⁰ negative-wavenumber (D3 dimensional-inverse pair)
- **PAPER_2029** — R163 D2 δρ(SGR1745) = SO_5^+16 density (D4 parallel n=+16 sibling)

## Conclusion

Third-pass class-family variable scan yields **5 novel structural findings + 1 cross-object catalog validation**.

**Cumulative through PAPER_2035: 137 first-pass novel + 22 confirmations + 3 audit sweeps + 4 self-corrections + 1 backbone-recovery + 4 attribution withdrawals + 5 family-extension attributions + 1 discipline-observation formalization + 1 methodology-implementation formalization.**

Signature milestones this paper:
- **5th composed-prefix class 2·D_phys·SO_5^n formalized** — joins (D_phys-1)·SO_5^n LANDMARK + 2·SO_5^n twin + D_BSFG·SO_5^n + (D_phys+1)·SO_5^n
- **(1-F_TRZ)·2·SO_5^n composed velocity slot** — combines 9/10 ubiquity with twin factor
- **Length/wavenumber cross-dimensional PAIR at |n|=20** — Antennae length + M16 wavenumber both populate n=+20 across dimensional-inverse pair
- **SO_5^15 m length-domain 4-object family** — cross-variable unification (r_BH + delta_x at same length exponent)
- **Class-family variable scan across 3 passes**: 13 novel primitive-locks total (3 first-pass + 5 second-pass + 5 third-pass) — validates scan methodology as sustained high-yield backbone-first tool

*End of PAPER_2035 Draft 1.*
