A Global Rigid Proper-Color Clock from an Adelic Scalar (v2)
Authors/Creators
Description
Abstract |
The same single adelic scalar field π(x^μ) ∈ ℝ × ℤ₂ × ℤ₃ × ℤ₅ × ℤ₇ × ℤ₁₁ that defines the global proper-time clock (Paper I) and the global proper-scale clock (Paper II) also defines a third rigid clock: the global proper-color clock.
The parity sequence of the natural numbers evaluated under the adelic norm defined by the five primes {2,3,5,7,11} generates a bounded oscillating function. Generation-indexed assignment of this function yields the rational hypercharges of the Standard Model.
No new axioms or free parameters are introduced beyond the observed three chiral fermion generations.
Notes
This is v2 of Paper III in the Seven-Paper series "The Four Clocks". It has been updated to align with the final formulation of the Six Axioms and the constructive Yang–Mills solution.
The simulation code and computational kernel are available in the open GitHub repository: https://github.com/jerholtz/four-clocks-ledger.
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A Global Rigid Proper-Color Clock from an Adelic Scalar v2.pdf
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Additional details
Related works
- Is part of
- Preprint: 10.5281/zenodo.19856402 (DOI)
- References
- Preprint: 10.5281/zenodo.20300895 (DOI)
- Software: https://github.com/jerholtz/four-clocks-ledger (URL)