This research derives speed of light and Planck's constant from hydrogen's properties, suggesting a unique geometric relationship.
The derivation begins with a single physical input — the Lyman-limit wavelength of hydrogen — and, through a four-circle geometric construction using only the radian conversion factor and the fine-structure constant, produces the speed of light as a pure distance requiring no clock. The same framework, applied in reverse, derives Planck's constant from hydrogen's ionisation energy. The two constants emerge as exact reciprocals: every geometric factor in one is inverted in the other. T
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David Charles (2026) studied this question.
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