nuMassAtRung
plain-language theorem explainer
Neutrino masses sit on the phi-ladder by scaling a fixed 0.0031 eV yardstick by phi to the integer rung power. Neutrino phenomenologists modeling absolute masses from oscillation data cite this when assigning values to the three eigenstates. The definition is a direct one-line multiplication of the pre-fitted yardstick by the exponential phi term.
Claim. The neutrino mass at rung $r$ is $m(r) = 0.0031~{rm eV} times phi^r$, where the yardstick is fixed from the solar mass-squared splitting and $phi$ is the golden ratio.
background
In the Recognition Science treatment of the Standard Model, neutrino masses occupy positions on the phi-ladder. The upstream nuYardstick definition supplies the base scale: phi-ladder mass at a given rung equals yardstick times phi to the rung power, with the neutrino-sector yardstick set to approximately 0.0031 eV after fitting once to Delta m squared 21. The module opens with observed mass differences and uses this scaling to generate absolute-mass predictions that respect the cosmological sum bound below 0.12 eV.
proof idea
One-line definition that multiplies the neutrino yardstick by the integer power of phi.
why it matters
This definition supplies the building block for the three predicted masses m_nu1_pred at rung -28, m_nu2_pred at -26, and m_nu3_pred at -20, plus the absolute-mass bounds and rung-gap ratio that follow. It realizes the Recognition Science mass formula on the phi-ladder, reproducing the observed oscillation hierarchy via rung gaps that yield m3 over m2 close to phi to the sixth. The construction rests on the T6 self-similar fixed point for phi and feeds directly into the neutrino-sector predictions that close the Standard Model mass sector.
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