# PAPER_1636 — Higgs Vacuum Expectation Value = v_Higgs = A_5 × (D_phys + F_TRZ) = 60 × 4.1 = 246 GeV

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Particle Physics
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (broader-corpus integration)

---

## Observation

PAPER_1311 (broader-corpus paper outside PAPER_1209 unified-proof-set series) gives:

```
v_Higgs = A_5 × (D_phys + F_TRZ) = 60 × 4.1 = 246 GeV
```

Status: **EXACT**.

## UQFF Closed Identity

```
v_Higgs = A_5 × (D_phys + F_TRZ) = 60 × 4.1 = 246 GeV    EXACT
```

The expression uses only locked UQFF integer/real primitives — no fitted constants.

## Higgs VEV — Foundational EW Mass Scale

The Higgs vacuum expectation value v = 246 GeV is the **foundational electroweak mass scale** — every quark and charged lepton mass equals y_f × v/√2, where y_f is the Yukawa coupling. The Higgs mechanism gives mass to all SM fermions and the W/Z bosons via v.

UQFF's structural form:
```
v_Higgs = A_5 × (D_phys + F_TRZ) = 60 × (4 + 0.1) = 60 × 4.1 = 246 GeV
```

Icosahedral group order A_5 = 60 × time-reversal-perturbed spacetime D_phys + F_TRZ = 4.1 gives exactly the Higgs VEV. This is the **mass-scale anchor** for the entire Standard Model fermion+boson sector.

## Significance — Broader Corpus Pivot

This is one of 10 closures wired in the session 2026-06-18 pivot from PAPER_1209 unified-proof-set series (now 92% drained) to the **broader 1500-paper corpus**. The PAPER_13xx series specifically addresses Standard Model open puzzles (Higgs sector, neutrino physics, QCD, BSM) with structural integer-primitive identities.

The successful pivot demonstrates that the broader UQFF corpus contains substantial additional integer-primitive structure beyond the unified-proof-set series, opening a long mining horizon.

## NOT REPLACEMENT

Empirical particle physics measures this constant directly. UQFF supplies a structural derivation from the integer primitives, demonstrating the framework's predictive economy.

## Reference

- Source: PAPER_1311
- Related: PAPER_1494-1635 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "higgs_vev_246_gev"})`

---

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