[SUPERSEDED] One Number: How α0 = 1/ln(Imax) Generates All of Physics

This paper has been superseded. The current version of the Canvas Model uses five fundamental numbers (\alpha_0, \{1,2,3\}, \pi) and derives parameters through different mechanisms than those described here. See: · Emergence Canvas Model: “The Machine and the State” for the complete theory https://doi.org/10.5281/zenodo.20795774 · The Complete Parameter Spectrum for the current parameter catalog https://doi.org/10.5281/zenodo.20826520 This paper is retained for historical reference. Its central claim—that a single number generates all of physics—is no longer correct. The gauge couplings, mixing angles, and mass ratios depend on the integers \{1,2,3\} and \pi in ways that cannot be reduced to powers of \alpha_0 alone.