There is a newer version of the record available.

Published April 20, 2026 | Version 4.0

The Zimmerman Framework: Unified Physics from Z² = CUBE × SPHERE

Authors/Creators

  • 1. Independent Researcher

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

Files (228.3 MB)

Name Size
md5:51fcc622dafc81ef4e7c37cd41dbb37c
228.3 MB Preview Download

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)

References

  • Milgrom, M. (1983). ApJ 270, 365
  • Verlinde, E. (2017). SciPost Phys. 2, 016
  • 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