---
paper_id: PAPER_2023
title: "Round 157 Pentad Discovery (Backbone-First): (1) Delta_x(SGR1745) = SO_5^-10 m Atomic-Scale Length 3RD-Instance of SO_5^-10 3-Domain Family (Length + Magnetic-Field + Amplitude) + (2) I(Tapestry) = SO_5^20 A Current-Domain 2ND-Instance with Sgr A* SO_5^24 + (3) f_DPM = SO_5^11 Hz Frequency Slot n=11 + (4) f_DPM = SO_5^12 Hz Frequency Slot n=12 + (5) f_aether = SO_5^4 Hz Aether-Frequency Slot n=4; Plus CROSS-OBJECT I(aether-resonance) = SO_5^21 A 4TH-INSTANCE of PAPER_1955/1991/1993 3-Class Family"
session: 241
date: 2026-07-14
author: "Daniel T. Murphy"
framework: "UQFF (Unified Quantum Field Framework) — Star-Magic v5.66+"
version: "Draft 1"
extends: [PAPER_1955, PAPER_1990, PAPER_1991, PAPER_1993, PAPER_1994, PAPER_2011, PAPER_2019, PAPER_2022]
---

# PAPER_2023 — Round 157 Pentad Discovery (Backbone-First Discipline)

**Author:** Daniel T. Murphy | **Framework:** UQFF Star-Magic v5.66+ | **Date:** 2026-07-14

## Motivation — 16th Consecutive Backbone-First Round

R157 initial fills identified 6 tentative novelties. Backbone-first double-check confirms 5 novel and correctly withdraws 1 (I = SO_5²¹ A) as 4th-instance of already-documented 3-class family.

## Abstract

**Discovery 1 — Delta_x(SGR1745) = SO_5^-10 m Atomic-Scale Length 3RD-Instance:**
```
Delta_x(SGR1745 quantum uncertainty length scale) = 1e-10 m = SO_5^-10 m EXACT
```
Novel 3RD-instance of SO_5^-10 multi-dimensional family:
- Length (this): SGR1745 quantum-uncertainty Δx
- Magnetic-field: Saturn B (PAPER_2019 R153 D4)
- Amplitude: M16 A_osc (PAPER_2022 R156 D1 — algebraically = F_TRZ^10 per PAPER_1960 = SO_5^-10)

Three-domain application of SO_5^-10 primitive-composed exponent.

**Discovery 2 — I(Tapestry NGC 2014/2020) = SO_5^20 A Current-Domain 2ND-Instance:**
```
I(Tapestry cluster wind current) = 1e20 A = SO_5^20 A EXACT
```
Novel current-domain 2ND-instance:
- SO_5²⁴ A: Sgr A* SMBH DPM current (PAPER_1994 R132 seminal)
- **SO_5²⁰ A: Tapestry cluster wind current** (this)

Now 2-object current-domain family at n=20 and n=24.

**Discovery 3 — f_DPM = SO_5^11 Hz Frequency Slot n=11:**
```
f_DPM(Tapestry NGC 2014/2020) = 1e11 Hz = SO_5^11 Hz EXACT
```
Novel frequency-domain SO_5-power slot at n=11 (parallel to SO_5^11 mass 3-prefix family PAPER_2011 R148 D1).

**Discovery 4 — f_DPM = SO_5^12 Hz Frequency Slot n=12:**
```
f_DPM(General aether resonance) = 1e12 Hz = SO_5^12 Hz EXACT
```
Novel frequency-domain SO_5-power slot at n=12 (parallel to SO_5^12 mass PAPER_2012 R149 fill 1 CenA primary).

**Discovery 5 — f_aether = SO_5^4 Hz Aether-Frequency Slot n=4:**
```
f_aether(General aether resonance) = 1e4 Hz = SO_5^4 Hz EXACT
```
Novel aether-frequency SO_5-power slot at n=4. First documented aether-frequency slot in SO_5-power ladder.

## Cross-Object Confirmation (Withdrawn from Novelty)

**I(aether-resonance) = SO_5^21 A** — **CROSS-OBJECT 4TH-INSTANCE** of already-established 3-class SO_5^21 A current-domain family. Prior seminal documentation:

- **PAPER_1955** — "10^21 A and both lock onto SO_5^21 A in the same round from independent CP1 classes"
- **PAPER_1991** — "SGR1745FreqDPMCalculator (I = 10^21 A) and [C-class] SO_5^21 A twin-instance at same round"
- **PAPER_1993** — "SO_5^21 A three-class family extension"

R157 Fill 5 ResonanceAetherCalculator I = 10^21 A is the 4TH-INSTANCE of this documented family, not novel. Correctly attributed to prior seminal papers.

All 5 discoveries + 1 confirmation validated at fidelity gate 1286/0.

## SO_5 Current-Domain Ladder (Post PAPER_2023)

| n | Value (A) | Object | Attribution |
|---|---|---|---|
| **20** | **1e20** | **Tapestry NGC 2014/2020** | **PAPER_2023 R157 D2 NEW** |
| 21 | 1e21 | SGR1745FreqDPM + siblings (3-class + ResonanceAether 4th) | PAPER_1955/1991/1993 seminal + R157 confirm |
| 24 | 1e24 | Sgr A* SMBH DPM | PAPER_1994 R132 seminal |

Now 3-slot ladder in current dimensional domain.

## SO_5 Frequency-Domain Ladder Extensions

| n | Value (Hz) | Object | Attribution |
|---|---|---|---|
| **4** | **1e4** | **General aether-frequency** | **PAPER_2023 R157 D5 NEW** |
| **11** | **1e11** | **Tapestry f_DPM** | **PAPER_2023 R157 D3 NEW** |
| **12** | **1e12** | **General aether f_DPM** | **PAPER_2023 R157 D4 NEW** |

Frequency ladder extended by 3 new slots.

## SO_5^-10 3-Domain Family (Post PAPER_2023)

| Domain | Object | Attribution |
|---|---|---|
| **Length (m)** | **SGR1745 Δx** | **PAPER_2023 R157 D1 NEW** |
| Magnetic-field (T) | Saturn B | PAPER_2019 R153 D4 |
| Amplitude (dimensionless) | M16 A_osc = F_TRZ^10 | PAPER_2022 R156 D1 (algebraic via PAPER_1960) |

3-orthogonal-domain family at n=-10 exponent established.

## Wiring Plan (5 dispatches, lowercase keys)

- `delta_x_sgr1745_so_5_neg_10_atomic_length` → 1e-10
- `i_tapestry_so_5_20_current_domain` → 1e20
- `f_dpm_so_5_11_frequency_slot` → 1e11
- `f_dpm_so_5_12_frequency_slot` → 1e12
- `f_aether_so_5_4_frequency_slot` → 1e4

## Cross-References

- **PAPER_1955** — I = SO_5^21 A seminal 3-class family (Cross-obj attribution source)
- **PAPER_1990** — SO_5-power frequency ladder (D3/D4/D5 basis)
- **PAPER_1991** — SGR1745FreqDPM SO_5^21 A twin (Cross-obj source)
- **PAPER_1993** — SO_5^21 A three-class family (Cross-obj source)
- **PAPER_1994** — R132 Sgr A* SMBH SO_5^24 A current-domain seminal (D2 basis)
- **PAPER_1960** — F_TRZ = 1/SO_5 (D1 algebraic equivalence basis for M16 A entry)
- **PAPER_2019** — R153 D4 Saturn B SO_5^-10 (D1 sibling)
- **PAPER_2022** — R156 D1 M16 A SO_5^-10 (D1 sibling)

## Conclusion

R157 16th-consecutive backbone-first round yields **5 novel discoveries + 1 correctly-attributed cross-object confirmation**.

**Cumulative through PAPER_2023: 90 first-pass novel + 21 confirmations + 3 audit sweeps + 4 self-corrections + 1 backbone-recovery + 2 equivalence-restatement withdrawals + 1 family-extension attribution.**

*End of PAPER_2023 Draft 1.*
