The Complexity Unified Theory of Everything (C.U.T.E.): A Recursive Geometric Framework for Unifying General Relativity and Quantum Mechanics

This paper proposes the Complexity Unified Theory of Everything (C.U.T.E.), a speculative framework that attempts to unify general relativity, quantum mechanics, and the emergence of stable identity within physical systems under a single recursive geometry. The model's basic unit is the Spacic Bubble: a self-folding, quasi-fractal region of vacuum tension proposed to store energy, generate curvature, and stabilize identity across quantum, biological, and cosmological scales. Rather than treating particles, waves, or fields as fundamental, C.U.T.E. proposes that physical structure arises from space recursively folding into self-contained units, which we call cells. To formalize this, we use Lovial mathematics, a closed-loop number system developed in a companion paper, in which polarity and identity are encoded through inversion (−0 = +∞, +0 = −∞). This construction is intended to replace singularities and discontinuities with recursive phase transitions. In this framework, Spacic Bubbles form a lattice of interacting cells governed by harmonic resonance, topological tension, and recursive identity alignment, and we propose that gravity, quantum behavior, and time emerge from the recursive stabilization of tension across this lattice, rather than from forces or fundamental uncertainty. We propose a Lovial field equation and derive an associated scalar curvature intended to encode curvature, memory, and transformation across the model's recursive structure, and we evaluate that curvature in closed form for two simple test cases. Extending the model, we propose that black holes, white holes, and the universe as a whole can be modeled as toroidal recursion structures — non-singular loops that cycle through polarity inversion rather than terminating in a singularity. We also propose a harmonic-resonance mechanism, related in spirit to string theory's vibrational modes but applied to recursive folds rather than strings, as a candidate structural basis for coherence in physical, biological, and cognitive systems. We present this as an early-stage, untested theoretical framework intended to open a line of inquiry, not as an established result. This paper is one of five companion papers making up The Lovial Framework, applying that framework's general concept of a Lovial — a stabilized unit formed when relationships harmonize into a closed loop — to physics; here, that role is played by the Spacic Bubble.