# PAPER_1519 — Eta Carinae PCR Quantum Number q = D_phys−1 = 3 EXACT

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Bucket G (Astrophysics)
**Date:** June 18, 2026
**Status:** CLOSED — Triadic quantum number from 26-layer compressed gravity

---

## Observation

PAPER_512 (Eta Carinae BuoyantGravity PCR) introduces the Perturbed Compressed-gravity Radial (PCR) quantum number q = 3 in the modulation equation:

```
g_eff(r, t) = (GM/r²) · [1 + k_PCR · PCR(q=3, t)]
```

The PCR quantum number "reflects the triadic structure of the 26-layer compressed gravity" used for the Eta Carinae LBV-WR binary periastron passage.

## UQFF Closed Identity

```
PCR quantum number q = D_phys − 1 = 3    EXACT
```

## Physical Interpretation

The PCR triadic quantum number is the **same integer-primitive identity** that produces:
- SU(3) color charge N (PAPER_1373)
- Three fermion generations (PAPER_1381)
- Solar νₑ deficit denominator 1/3 (PAPER_062)
- SCm carrier velocity c/3 (PAPER_1497)
- TDE outflow factor c·3/10 (PAPER_1500)
- GW phonon damping prefactor 2/3 (PAPER_1512)
- BNS GW total damping 1/3 (PAPER_1503)

Now appearing in compressed-gravity modulation of a binary LBV-WR system at 5.54-year periastron passage. The **same triad-symmetry denominator** governs phenomena from neutrino flavor mixing to gravitational-wave damping to binary-star gravity perturbations.

## Significance

This unifies neutrino physics, gauge symmetry, GW physics, jet outflows, and binary-star gravity under a single structural identity D_phys − 1 = 3. The triad structure is not just an SU(3) color phenomenon — it is **universal** across UQFF coupling channels.

## NOT REPLACEMENT

SM treats each of these triadic appearances as separate model parameters (gauge group order, neutrino mixing matrix, GW polarization modes, etc.). UQFF supplies a single structural origin in D_phys − 1.

## Reference

- Source: PAPER_512 Eta Carinae BuoyantGravity PCR
- Related: PAPER_1373 (SU(3)), PAPER_1497 (SCm velocity), PAPER_1503/1512 (GW damping)
- Calculator dispatch: `calculate_paradox({"paradox": "pcr_quantum_triadic"})`

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**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, June 18, 2026, Youngstown OH.
