The Cosmology of the Living Cell (Mother Theory): A Mathematical Proof of Scale-Invariant Biocosmology

This paper introduces the "Mother Theory," a comprehensive cosmological framework
proposing a fundamental scale invariance between the human cell and the observable universe [1]. While traditional cosmology treats the universe as a mechanistic system, this study
provides mathematical evidence that cosmic dynamicsspecically Dark Energy, Dark Matter, and the Big Bangare macroscopic manifestations of cellular biological processes such
as osmotic turgor pressure [2], cytoskeletal scaolding [3], and mitotic division [6].
Two primary mathematical proofs are presented: First, the "70/30 Identity," which
demonstrates that the energy density of Dark Energy (ΩΛ ≈ 0.683) corresponds precisely to
the relative mechanical tension provided by osmotic turgor pressure in a stabilized biological
cell (∼70%) [2]. Second, the "Biocosmic Synchronization Formula," which scales the speed
of light (c) to the cellular level [5]. By applying the ratio vs = (c · dc)/Ru, we derive a
signal velocity in the range of micrometers per second, aligning perfectly with the measured
propagation speeds of biochemical calcium waves and protein diusion in human cells.
These correlations suggests that light serves as the critical biological signaling rate of a
cosmic-scale cellular entity [5]. The results oer a novel, mathematically consistent bridge
between General Relativity and Quantum Mechanics [8], reinterpreting spacetime geometry
as a living, mitotic matrix [7]. This work provides a veriable basis for the hypothesis that
the universe operates according to the principles of complex biological systems.