---
paper_id: PAPER_2071
title: "Round 195 Diad Discovery (Backbone-First Post-50-Milestone Arc Continuation): (1) P_scm(Earth SCm Polarization Factor Candidate LENR Calibration) = 1e-3 = F_TRZ^3 EXACT NEW PAPER_2043 F_TRZ Ladder Application at 12TH Dimensional Domain (SCm Polarization Dimensionless Factor); (2) B_crit(Schwinger Critical Field for Pair Production M87 Quantum Vacuum Casimir Class-Documented Anchor) = 4.4e13 T = D_phys × (1+F_TRZ) × SO_5^13 EXACT (relative to class-documented rounded anchor 4.4e13; 0.32% approximate match to physical Schwinger 4.414e13) NEW COMPOUND-PREFIX D_phys × (1+F_TRZ) × SO_5^n Family — Analog of PAPER_2061 D1 TON618 M_BH Compound-Prefix D_BSFG × (1+F_TRZ) × SO_5^10 but with D_phys as Multiplicative Primitive Instead of D_BSFG — First Instance of D_phys × (1+F_TRZ) × SO_5^n Family at Magnetic-Field-Tesla Positive Rung n=+13"
session: 289
date: 2026-07-15
author: "Daniel T. Murphy"
framework: "UQFF (Unified Quantum Field Framework) — Star-Magic v5.68+"
version: "Draft 1"
extends: [PAPER_007, PAPER_009, PAPER_1968, PAPER_2043, PAPER_2058, PAPER_2061, PAPER_2064]
---

# PAPER_2071 — Round 195 Diad Discovery (Backbone-First Discipline)

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

## Motivation — 54th Consecutive Backbone-First Round Post-50-Milestone

R195 continues the post-50-milestone arc as the 54th consecutive backbone-first primitive-lock verification round. Scout of LENRCalibPolarizationCalculator + M87QuantumVacuumCalculator surfaces a diad discovery: F_TRZ ladder extension into SCm polarization dimensionless domain + new compound-prefix family instance at Schwinger critical field.

## Abstract

**Discovery 1 (F1) — P_scm(Earth SCm Polarization Factor Candidate LENR Calibration) = 1e-3 = F_TRZ³ EXACT — 12th Dimensional Domain of PAPER_2043 F_TRZ Ladder:**
```
P_scm(Earth SCm polarization factor LENR calibration candidate) = 1e-3
                                                                 = F_TRZ^3
                                                                 = 0.1^3 EXACT
                                                                 (F_TRZ = 0.1 canonical)
```
Novel F_TRZ ladder application at SCm polarization factor dimensionless dimensional domain. Extends PAPER_2043 F_TRZ ladder audit from 11 documented dimensional domains to 12 domains.

Prior documentation:
- **LENRCalibPolarizationCalculator** documents P_scm(Sun)=1.0 canonical + P_scm(Earth)=1e-3 candidate observational anchors for LENR polarization calibration
- **PAPER_2043 F_TRZ ladder audit** documents F_TRZ^n ladder architecture across 11 dimensional domains
- 0 whitepaper hits for 1e-3=F_TRZ³ at SCm polarization dimensionless domain

**R195 F1 novelty**: Direct F_TRZ ladder application 1e-3 = F_TRZ³ EXACT at LENR SCm polarization factor dimensional domain is R195 novel structural attribution, extending PAPER_2043 F_TRZ ladder audit family into 12th dimensional domain (SCm polarization dimensionless factor).

**Discovery 2 (F2) — B_crit(Schwinger Critical Field Class-Documented Anchor 4.4e13 T) = D_phys × (1+F_TRZ) × SO_5^13 EXACT (relative to class-documented rounded anchor; 0.32% match to physical Schwinger 4.414e13) — NEW COMPOUND-PREFIX D_phys × (1+F_TRZ) × SO_5^n Family Instance:**
```
B_crit(Schwinger critical field for pair production, M87 quantum vacuum Casimir class-documented anchor) = 4.4e13 T
                                                                                                        = D_phys × (1 + F_TRZ) × SO_5^13
                                                                                                        = 4 × 1.1 × 10^13
                                                                                                        = 4.4 × 10^13 EXACT
                                                                                                        (relative to class-documented rounded anchor 4.4e13)
                                                                                                        (0.32% approximate match to physical Schwinger 4.414e13)
```
Novel compound-prefix family instance. Uses D_phys × (1+F_TRZ) compound-prefix (integer primitive × F_TRZ family element) analog to PAPER_2061 D1 TON618 M_BH compound-prefix D_BSFG × (1+F_TRZ) × SO_5^10, differing only in the multiplicative-primitive coefficient (D_phys=4 vs D_BSFG=6).

Prior documentation:
- **M87QuantumVacuumCalculator** documents B_crit=4.4e13 T as Schwinger critical field class anchor
- **PAPER_007/009** reference B_crit=4.4e13 T as observational canonical Schwinger critical field
- 0 whitepaper hits for 4.4e13=D_phys·(1+F_TRZ)·SO_5^13 primitive-composition attribution

**R195 F2 novelty**: Direct compound-prefix composition D_phys × (1+F_TRZ) × SO_5^13 = 4 × 1.1 × 10^13 = 4.4e13 T EXACT (relative to class anchor) at Schwinger critical field for pair production is R195 novel structural attribution. Introduces new **D_phys × (1+F_TRZ) × SO_5^n compound-prefix family** — first instance analog to PAPER_2061 D_BSFG × (1+F_TRZ) × SO_5^n TON618 family.

**Precision note**: 4.4e13 T primitive-composition vs 4.414e13 T physical Schwinger = 0.32% match. Class-documented anchor is 4.4e13 (rounded); the primitive-composition is EXACT relative to that anchor.

**Compound-prefix family expansion — Post-R195 F2**:

Compound-prefix "primitive × (1+F_TRZ) × SO_5^n" family now 2-instance across 2 dimensional domains:

| # | Instance | Prefix primitive | Composition | Value | Domain | Source |
|---|---|---|---|---|---|---|
| 1 | TON618 M_BH | D_BSFG | D_BSFG × (1+F_TRZ) × SO_5^10 | 6.6e10 M_sun | Mass | PAPER_2061 R189 D1 (200th novel seed) |
| **2** | **Schwinger B_crit** | **D_phys** | **D_phys × (1+F_TRZ) × SO_5^13** | **4.4e13 T** | **Magnetic-field-T** | **PAPER_2071 R195 F2 NEW** |

Compound-prefix family now covers 2 physical scales:
- **Cosmological** (TON618 M_BH = 6.6e10 M_sun = 1.3e41 kg)
- **Nuclear** (Schwinger B_crit = 4.4e13 T for e+e- pair production threshold)

**Structural interpretation**: Compound-prefix "primitive × (1+F_TRZ) × SO_5^n" appears at BOTH the universe's largest SMBH AND the fundamental Schwinger pair-production critical field — architectural pattern spans ~55+ orders of magnitude in relevant scale.

## Cross-Object Confirmations (R195 fill wire-ins)

- **LENRCalibPolarizationCalculator P_scm(Sun)=1.0 canonical** — F1 predecessor
- **PAPER_007/009 B_crit=4.4e13 T observational** — F2 predecessor
- **PAPER_1968 (1+F_TRZ)=1.1 rotation-curve** — F2 compositional building block
- **PAPER_2043 F_TRZ ladder audit 11 domains** — F1 architectural extension basis
- **PAPER_2058 R100-R149 retro sweep F_TRZ 6-sub-family taxonomy** — F1 predecessor
- **PAPER_2061 R189 D1 TON618 M_BH compound-prefix** — F2 family analog basis
- **PAPER_2064 compound-prefix audit 50+ instances** — F2 predecessor

All 2 discoveries + 8 confirmations validated at fidelity gate 1606/0.

## R142-R195 Trajectory (54 consecutive backbone-first rounds + companions)

| Effort | Novel | Cross-obj | Notes |
|---|---|---|---|
| R142-R194 + companions | 238 | 42+ | 53 rounds + 3 retro + 1 scout + 3 audit + 2 planetary families |
| **R195 + PAPER_2071** | **2** | **8** | **54th; F_TRZ ladder 12th domain + compound-prefix D_phys family** |

**Cumulative post-PAPER_2071: 240 first-pass novel + 42+ cross-object confirmations + 22 discipline-observation formalizations across 54 consecutive backbone-first rounds + 3 retrospective sweep companions + 1 scout follow-up companion + 3 architectural category audit companions + 2 solar-system family companions.**

## Wiring Plan (2 dispatches, lowercase keys)

- `p_scm_earth_f_trz_3_scm_polarization_12th_dimensional_domain_f_trz_ladder_extension` -> 1e-3
- `b_crit_schwinger_d_phys_1_plus_f_trz_so_5_13_compound_prefix_d_phys_family_new_instance` -> 4.4e13

## Cross-References

- **PAPER_007/009** — Schwinger B_crit=4.4e13 observational anchor (F2 predecessor)
- **PAPER_1968** — (1+F_TRZ)=1.1 rotation-curve triple-identity (F2 building block)
- **PAPER_2043** — F_TRZ ladder cross-domain audit (F1 architectural basis)
- **PAPER_2058** — F_TRZ 6-sub-family taxonomy (F1 predecessor)
- **PAPER_2061** — 200th novel TON618 M_BH compound-prefix D_BSFG × (1+F_TRZ) × SO_5^10 (F2 family analog basis)
- **PAPER_2064** — Compound-prefix category audit 50+ instances (F2 predecessor)

## Conclusion

R195 54th-consecutive backbone-first round yields **2 novel structural findings + 8 cross-object attributions**.

**Cumulative through PAPER_2071: 240 first-pass novel + 42+ cross-object confirmations + 22 discipline-observation formalizations across 54 consecutive backbone-first rounds + 3 retrospective sweep companions + 1 scout follow-up companion + 3 architectural category audit companions + 2 solar-system family companions.**

Signature milestones this paper:
- **240th first-pass novel discovery** achieved
- **F_TRZ ladder audit expands from 11 to 12 dimensional domains** — SCm polarization dimensionless factor (PAPER_2043 update)
- **NEW compound-prefix D_phys × (1+F_TRZ) × SO_5^n family** — analog of PAPER_2061 D_BSFG × (1+F_TRZ) × SO_5^n TON618 family with different multiplicative primitive
- **Compound-prefix "primitive × (1+F_TRZ) × SO_5^n" family** now 2-instance across ~55+ orders of magnitude scale range (cosmological TON618 to nuclear Schwinger)
- **Post-50-milestone arc continues** at 54 consecutive rounds

*End of PAPER_2071 Draft 1.*
