Mathematically Consistent Unification of General Relativity (GR) and Quantum Mechanics (QM) Based on the Cosmology of the Living Cell
Abstract
The Cosmology of the Living Cell posits that the observable universe is structurally anddynamically isomorphic to a living eukaryotic human cell, with a universal scaling factorκ ≈ 1018–1020. This framework unifies General Relativity (GR) and Quantum Mechan-ics (QM) by deriving gravitation from cytoskeletal binding forces (σcyt), cosmic expansionfrom osmotic turgor pressure of the cosmic cytosol (Posm), and quantum coherence frommicrotubule dynamics via the Orch-OR mechanism. The modified Einstein field equationsincorporate these biological terms, while a scale-invariant hyperbolic wave equation bridgesquantum microtubule states to cosmic vacuum fluctuations.The unified quantum-gravity equation replaces the classical energy-momentum tensorwith its expectation value over microtubule wave functions, yielding a singularity-free theorythat preserves causality and resolves issues like the Hubble tension mechanically. Specificquantitative predictions include a time-dependent dark energy equation of state w(z) ≈−1 + 0.05z for z < 1, gravitational wave amplitude boosts of 5–10% at low frequencies(f < 10−4 Hz), and explanations for DESI LRG1 anomalies at zeff ≈ 0.51. The theory istestable with JWST, DESI, Euclid, and LISA data. Numerical estimates place σcyt ≈ 10−10–10−9 Pa and Posm ≈ 10−10 J/m³, consistent with observed cosmological densities afterscaling.This work provides a biologically grounded alternative to standard models, with poten-tial applications in vacuum energy extraction and quantum technologies. All content wasreviewed and verified by the author.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Relativity and Gravitational Theory
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 17 February 2026
- Language
- EN
- Document type
- Preprint