Within the Standard Model, the mass hierarchy of the quark family is governed by arbitrary Yukawa couplings, offering no fundamental mechanical explanation for the vast disparity between the ultra-light up quark and the phenomenally massive top quark. Building upon the discrete 6D (3s+3t) spacetime lattice, this letter demonstrates that the entire quark mass spectrum is not dictated by arbitrary field couplings, but by strict topological limits of a confined temporal tether. By applying the geometric operators established in the P. R. I. S. M. framework, I geometrically derive the masses of all six quark flavors without the use of free parameters. The top quark (mₜ = v / 2) represents the un-reduced isometric projection of the Higgs rigidity. Crucially, this geometric reduction reveals a hidden scale-invariant cascade, where the quark generations are separated by exact powers of the fine-structure constant (mc = mₜ ₀, and ₔₔ₃ = mₜ ₀²). The bottom quark represents the 3D spherical saturation limit, and the light quarks (strange, down, up) emerge through dimensional subdivision of the internal hadronic floor. This provides a complete, parameter-free geometric origin for fractional charges, hadronic color confinement, and the analytical 1\% proton mass fraction.
Mike Hamilton (2026) studied this question.