pith. sign in
def

observedDownQuarks

definition
show as:
module
IndisputableMonolith.Physics.MassHierarchy
domain
Physics
line
84 · github
papers citing
none yet

plain-language theorem explainer

observedDownQuarks supplies the empirical down-type quark masses in GeV for the φ-cascade model of fermion hierarchy. Particle physicists modeling mass ratios from Recognition Science constants would reference these values as the base data layer. The definition is a direct record construction that populates the DownQuarkMasses structure with three fixed real numbers and no further computation.

Claim. The observed down-type quark masses are given by the record $m_d = 0.005$, $m_s = 0.095$, $m_b = 4.18$ in GeV units.

background

DownQuarkMasses is the structure holding three real numbers for the down, strange, and bottom quarks. Mass is the alias for ℝ in RS-native units. The module sets the local context as SM-006, deriving the Standard Model fermion hierarchy from the φ-cascade: each generation differs by a geometric factor built from powers of φ, with three generations fixed by the eight-tick octave. Upstream, the Model structure from LawOfExistence supplies the defectMass and energyGap maps that later consume these numerical inputs.

proof idea

The definition is a direct record literal that applies the DownQuarkMasses constructor to the three supplied real constants.

why it matters

This definition supplies the concrete numerical anchor for the φ-cascade derivation of the fermion mass hierarchy. It fills the input slot required by the PRL proposition on mass hierarchy from first principles and connects to the eight-tick structure that forces three generations. No downstream theorems yet cite it, leaving the cascadeMass and koideParameter siblings as the immediate next consumers.

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