Higgs VEV Derivation
The Standard Model predicts and measures: 246 GeV - here it comes from three pieces.

v \;=\; \underbrace{\color{#c0431d}m_\text{eff}\,c^2}_{\text{\footnotesize mass/energy}} \;\times\; \underbrace{\color{#1f5fa6}\sqrt{\nu}}_{\text{\footnotesize vacuum's condensation number}} \;\times\; \underbrace{\color{#a07820}\sqrt{8\pi}}_{\text{\footnotesize geometry}}

the Higgs vacuum expectation value v: the energy the vacuum carries in its ordered, symmetry-broken state, which gives the W, Z and every fermion its mass

1
The building block
the electron’s whole vortex, not just its visible mass

m_\text{eff}\,c^2 \;=\; \frac{m_e\,c^2}{\alpha_{mf}} \;=\; \frac{0.511\ \text{MeV}}{0.3008} \;=\; 1.70\ \text{MeV}

\alpha_{mf} = \tan^2\theta_W, the measured Weinberg angle

\underbrace{0.51\ \text{MeV}}_{\substack{\text{visible: }30\%\\[1pt]\text{the electron's mass}}} \;+\; \underbrace{1.19\ \text{MeV}}_{\substack{\text{hidden: }70\%\\[1pt]\text{in counter-rotating seams}}} \;=\; 1.70\ \text{MeV}

the electron’s mass is the 30% of its vortex energy that shows; the full energy, visible and hidden, is one effective quantum
inputs: the electron mass and the Weinberg angle
2
Mass ratio/condensation number
a random walk of chirality fluctuations

\nu \;=\; \frac{m_\text{eff}}{m_1} \;=\; \frac{1.70\ \text{MeV}}{2.03\ \text{meV}} \;=\; 8.35\times10^{8}

m_1 c^2 = \hbar c/\xi, the vacuum particle at the 97 μm lattice cell

\sqrt{\nu} \;\approx\; 28{,}900

ν tiny vacuum particles make up one building block; their fluctuations add like steps in a random walk, so the total grows as √ν, not ν
the same rule that makes every condensate’s amplitude go as √density
3
Geometry
two factors, both from gravity

8\pi \;=\; \underbrace{2}_{\substack{\text{light-like}\\[1pt]\text{pressure}}} \times \underbrace{4\pi}_{\substack{\text{Gauss's law}\\[1pt]\text{(a sphere)}}}

the 4π of Newton’s \nabla^2\Phi = 4\pi G\rho; the 2 is \rho + 3P/c^2 = 2\rho for radiation

\sqrt{8\pi} \;=\; 5.01

the carriers are massless waves, and radiation pressure weighs twice what its energy alone would
the same 4π that fixes the substrate’s gravity

v \;=\; {\color{#c0431d}1.70\ \text{MeV}} \times {\color{#1f5fa6}28{,}900} \times {\color{#a07820}5.01} \;=\; \boxed{246.1\ \text{GeV}} \qquad \text{measured: } 246.22\ \text{GeV}\quad(0.06\%)

no Higgs input and nothing fitted: the chain runs from the electron mass, the Weinberg angle and the dark-matter density, and never touches v

Near-derived. The 8π is traced and the √ν follows from treating the chirality field as a quantum field (amplitude² counts quanta). What remains is deriving that random-walk sum from the substrate’s chirality energy. Closing it makes v a prediction, and with it the W and Z masses. The same ν reappears in the galactic critical velocity (~750 km/s), so one count of vacuum particles sets both a collider number and a galaxy number.