Geometric Torsion and Variable G: A Topological Framework for Fundamental Physics

We present a unified framework deriving fundamental physics from topological first principles. The foundation is informational: a universe with zero net information content is mathematically equivalent to one containing all possible structures in superposition. Observable reality emerges as a 3+1 dimensional slice through an infinite-dimensional function space, where stable threedimensional knots in worldlines are the only configurations permitting observers. Particles correspond to knots classified by their Reidemeister structure, with mass determined by topological complexity. The three gauge forces arise from the three Reidemeister moves: Type I (twist) generates U(1) electromagnetism, Type II (poke) generates SU(2) weak force, and Type III (slide) generates SU(3) strong force. Gravity emerges separately through information shadowing in higher dimensions. We propose that the particular 3+1D slice we inhabit has time with geometric torsion (distinct from spin-induced torsion in Einstein-Cartan theory)—a property that may itself be required for stable observers. This torsion explains matter-antimatter asymmetry through chirality bias in knot formation and predicts weak parity violation through the same mechanism. A variable gravitational constant, dependent on worldline density, naturally produces apparent cosmic acceleration without invoking dark energy. The framework is consistent with key observations: the correlation between baryon asymmetry and cosmic birefringence (both arising from the same torsion parameter), the absence of a fourth particle generation, and evolving dark energy as suggested by recent DESI observations.