Irreducible_Kerf_v2_Erratum
Year: 2026
Type: erratum
Abstract: This paper is part of a series of preprints developed alongside the Double-Positive Helical Resonator (DPHR) device and the associated Watts Core Method framework. The result below is self-contained and does not depend on the DPHR or on any claims about the ABC conjecture. The result: for a full-reptend prime p with decimal period 2k, splitting the repeating block of 1/p into its first k and last k digits gives two numbers that sum to a string of k nines. This was proved by Midy in 1836 and is sometimes called Midy's Theorem. What follows names the two halves ψ1 (sine half) and ψ2 (cosine half) and the residual ψ3 (third wave), and studies their relationship as a self-contained decimal-arithmetic fact.
Author: Watts, Cory James
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203446079