HCTM: HIDE's Clock Triangle Model — Reading Clocks from a Triangle of Speeds (English edition)

HCTM: HIDE’s Clock Triangle Model — Reading Clocks from a Triangle of Speeds (English edition) HCTM treats the speed of light c as a total “budget” of speed that a mass divides between motion (v) and internal oscillation (w): c² = v² + w². The clock rate is w/c and the slowdown factor is c/w. This is numerically the same relation as the Lorentz factor of special relativity; the paper offers it as a geometric reading of that relation, not as a replacement for it. Using only a calculator, the paper reproduces the GPS clock offset step by step: about 7.21 µs/day from orbital motion, 45.72 µs/day from the space-flow part, and a net of 38.51 µs/day against the observed value of about 38.5 µs/day. With the space flow equated to the escape speed, the radius at which the flow reaches c is about 8.87 mm for the Earth, the same value as its Schwarzschild radius. Appendix 1 introduces the HH scale, a ruler of “singularity strength” computed without G or M (orbital data only). Appendix 2 contains unverified working notes and is labeled as such. This is the English edition of the Japanese original (DOI: 10.5281/zenodo.23836215). Related work: The HIDE Theory of Mukyoku Flow Force Transformation (DOI: 10.5281/zenodo.17847560). The English text was translated with AI assistance and reviewed by several AI systems; feedback is welcome.