E47 Electroweak Identities

𝗘𝟰𝟳 𝗘𝗹𝗲𝗰𝘁𝗿𝗼𝘄𝗲𝗮𝗸 𝗜𝗱𝗲𝗻𝘁𝗶𝘁𝗶𝗲𝘀

Three ratios from a 47-dimensional kernel on a 125-dimensional carrier. The only dimensionful input is 𝐺𝐹.

𝗧𝗛𝗘 𝗟𝗢𝗖𝗞

𝐾 = (𝐶 − 6𝐼)(𝐶 − 30𝐼)

dim 𝐸₄₇ = 47
Ω𝑐 = 47/125 = 0.376

𝗧𝗛𝗥𝗘𝗘 𝗛𝗘𝗔𝗗𝗟𝗜𝗡𝗘 𝗜𝗗𝗘𝗡𝗧𝗜𝗧𝗜𝗘𝗦

① 𝑚Z⁽⁰⁾ = 𝑣Ω𝑐

② 𝑚W / 𝑚Z = √(10/13)

③ 𝑚t / 𝑚H = 1 + Ω𝑐 = 172/125

Using

𝐺𝐹 = 1.1663788 × 10⁻⁵ GeV⁻²

gives

𝑣 = 246.21964024 GeV
𝑚Z⁽⁰⁾ = 92.57858473 GeV
𝑚W⁽⁰⁾ = 81.19679015 GeV

𝗛𝗘𝗔𝗗𝗟𝗜𝗡𝗘 𝗥𝗘𝗦𝗜𝗗𝗨𝗔𝗟𝗦

𝑚Z / 𝑣 = Ω𝑐
E47: 0.376
Measured: 0.370352
Residual: +1.525%

𝑚W / 𝑚Z
E47: 0.877058
Measured: 0.881357
Residual: −0.488%

𝑚t / 𝑚H
E47: 1.376
Measured: 1.378355
Residual: −0.171%

𝗔𝗨𝗗𝗜𝗧, 𝗡𝗢𝗧 𝗧𝗛𝗘 𝗖𝗟𝗔𝗜𝗠

The integer-246 fifteen-row mass ladder is recovered and reproducible. It is a separate audit object, not 𝐼EW itself.

median |δ| = 0.33%
mean |δ| = 0.56%
RMS(δ) = 0.77%
max |δ| = 1.74%

𝑇obs = 0.007692169 ≠ 𝑝LEE

That distinction matters.

The headline identities are the compact electroweak construction. The larger mass ladder is an audit of the surrounding integer grammar, with its look-elsewhere analysis exposed separately rather than folded into the headline claim.

𝗢𝗣𝗘𝗡 𝗧𝗛𝗘 𝗜𝗡𝗦𝗧𝗥𝗨𝗠𝗘𝗡𝗧

https://nicholaskouns-create.github.io/electroweak/

𝗦𝗢𝗨𝗥𝗖𝗘 · 𝗣𝗥𝗢𝗢𝗙 · 𝗚𝗘𝗡𝗘𝗥𝗔𝗧𝗢𝗥 · 𝗔𝗨𝗗𝗜𝗧

https://github.com/nicholaskouns-create/E47-Electroweak-Identities

Nicholas S. Kouns · AIMS Research Institute · CC0 1.0