# PAPER_1503 — GW Damping Factor BNS = 1/(D_phys−1) = 1/3 EXACT

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Bucket E (GW Events)
**Date:** June 18, 2026
**Status:** CLOSED — BNS gravitational-wave total damping factor exact 1/3

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## Observation

PAPER_011 (Stochastic Gravitational-Wave Background — UQFF Implications) derives the frequency-dependent damping factor for binary-neutron-star (BNS) GW events as D_total(BNS) = 3.33×10⁻¹ ≈ 0.333, where h_UQFF = D_total · h_GR and Ω_GW,UQFF = D²_total · Ω_GW,GR.

## UQFF Closed Identity

```
D_total(BNS) = 1 / (D_phys − 1) = 1/3 = 0.333...   EXACT
```

## Physical Interpretation

BNS mergers radiate gravitational waves whose total transmitted amplitude through the SCm vacuum substrate is reduced to exactly one-third of the GR prediction. The factor 1/(D_phys − 1) is the same triad-symmetry denominator that yields:
- Solar νₑ deficit 1/3 (PAPER_062)
- SU(3) color charge 3 (PAPER_1373)
- SCm carrier velocity c/3 (PAPER_1497)
- TDE outflow factor c·3/10 (PAPER_1500)

The shared denominator unifies neutrino, gauge, jet, and GW phenomenology under a single integer-primitive ratio.

## Predictive Implication

Squared damping Ω_GW = (1/3)² = 1/9 = 0.111 transmits to the stochastic GW background — gives LIGO/Virgo-O5 a structural prediction independent of source-population fits.

## NOT REPLACEMENT

GR predicts undamped propagation in vacuum. UQFF supplies a structural reduction at exactly 1/(D_phys − 1) due to triad-channel splitting in the SCm substrate.

## Reference

- Source: PAPER_011 Stochastic GW Background UQFF Implications
- Related: PAPER_1504 (BBH damping), PAPER_1497 (SCm velocity), PAPER_1500 (TDE)
- Calculator dispatch: `calculate_paradox({"paradox": "gw_damping_bns_one_third"})`

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