Planck's Constant as the Field Norm, and the Family Units
Year: 2026
Type: preprint
Abstract: In IDWT every particle is a stationary solution of one field law, and every property worked out for a particle so far is proportional to one number, the solution's total size or norm N: its spin is N/2, its charge is a fixed multiple of N, and its energy is its frequency times N, up to a small binding correction. Physics states the same three facts with Planck's constant in place of N. If every particle carries the same norm, Planck's constant is that norm. This paper shows how the norm depends on the solution's frequency at each depth: near threshold N = c_d (m₀ − ω)^(9 − d/2), with one constant c_d per depth. A universal norm therefore fixes one frequency for each depth. The paper then gives the family units, the mass per portion of each particle family, with their frequencies and wavelengths. The lepton unit is the hartree to 1.16%: the electron's count times the square of the fine-structure constant is 0.989. The boson unit is a million times the lepton unit to 0.26%.
Author: No, Fedge
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225759455
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