The Entropy–Anti-Entropy Theory of Everything: A Unified Framework for Gravity, Quantum Mechanics, Thermodynamics, and Cosmology

We construct a thermodynamic Theory of Everything (TOE) in which the Universe is described by a single field whose state is encoded in two complementary fractions: an en- tropy fraction S and an anti-entropy fraction A, obeying S +A = 1. Entropy S corresponds to wave-like, expansion-driven, electromagnetic and quantum behavior (dark-energy-like), while anti-entropy A represents ordered, gravitational, mass-forming structure (dark-matter- like). Gravity emerges as an anti-entropic effect via Geff = AGN , quantum behavior is controlled by ℏeff = Sℏ, and the cosmic acceleration follows ¨a/a ∝ (S − A) = 2S − 1. A key ingredient is an inverse symmetry between cosmic and atomic scales: Scosmic ∝ Aatomic and Acosmic ∝ Satomic, ensuring that the Universe never globally collapses and evolves in- stead toward Big-Bang-like high-entropy reset states rather than heat death. Black holes correspond to the limit A → 1, S → 0, with vanishing effective light speed and quantum amplitude, while the early Universe approaches S → 1, A → 0. We provide a unified La- grangian, derive modified Einstein and Klein–Gordon equations, define effective Geff and ℏeff, analyze atomic and cosmic sectors, sketch the mapping of the four fundamental forces, and outline renormalization-group flow of S/A-weighted couplings. We show that the frame- work is qualitatively consistent with Big Bang nucleosynthesis, CMB smoothness, galaxy rotation curves, gravitational lensing, black hole thermodynamics, and atomic spectra, and we present a dynamical system suitable for numerical cosmological simulations.