Published April 20, 2026
| Version 4.0
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The Zimmerman Framework: Unified Physics from Z² = CUBE × SPHERE
Description
A comprehensive unified framework deriving physics, mathematics, biology, consciousness, and time from first principles using Z² = CUBE × SPHERE = 8 × (4π/3) = 32π/3 ≈ 33.51. The framework derives: (1) MOND acceleration a₀ = cH₀/Z where Z = 2√(8π/3) = 5.79; (2) Standard Model structure including gauge coupling α⁻¹ ≈ 137; (3) Genetic code (4 nucleotides = BEKENSTEIN, 20 amino acids = GAUGE + CUBE); (4) Consciousness as Z² geometry (BEKENSTEIN = 4 self-aspects, GAUGE = 12 qualia); (5) Time structure (past = CUBE, present = BEKENSTEIN surface, future = SPHERE); (6) Mathematics (5 Platonic solids ≈ Z, quaternions = BEKENSTEIN dimensions); (7) Music theory (12 tones = GAUGE, 4/4 time = BEKENSTEIN). Contains 370+ Python derivations and 66 documentation files demonstrating geometric closure across all domains.
Files
carlzimmerman/zimmerman-formula-v1.0.5.zip
Additional details
Related works
- Is new version of
- Publication: 10.5281/zenodo.19244651 (DOI)
- Is supplement to
- Software: https://github.com/carlzimmerman/zimmerman-formula (URL)
Software
- Repository URL
- https://github.com/carlzimmerman/zimmerman-formula
References
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- Smolin, L. (2017). Phys. Rev. D 96, 083523
- McGaugh, S. et al. (2016). Phys. Rev. Lett. 117, 201101
- Bekenstein, J. D. (1973). Phys. Rev. D 7, 2333
- Chalmers, D. (1995). J. Consciousness Studies 2, 200