The baker's map is a chaotic map from the unit square into itself.
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Jul 29, 2020 - HTML
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baker-map
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K_AUD = √2 × ln(2) — geometric constants from H₄ polytope geometry. Binary uniqueness, Baker's map identity, Gelfond-Schneider rewrite, gap scaling. Information-theoretic framework connecting geometric embedding cost with Shannon's binary distinction cost. Published on OSF with DOIs.
binary information-theory mathematics golden-ratio number-theory e8 shannon-entropy polytopes angular-momentum feigenbaum baker-map baryon-acoustic-oscillations geometric-constants quasicrystals landauer-principle h4-geometry desi-bao gap-scaling h4-polytope crystal-field-theory
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Mar 22, 2026
Geometric constants from H4 polytope structure. √2 × ln(2) ≈ 0.980. Official archive: osf.io/qh5s2
binary information-theory mathematics golden-ratio number-theory e8 shannon-entropy polytopes angular-momentum feigenbaum baker-map baryon-acoustic-oscillations geometric-constants quasicrystals landauer-principle h4-geometry desi-bao gap-scaling h4-polytope crystal-field-theory
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Updated
Mar 22, 2026 - HTML
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