Completing the Unification of General Relativity and Quantum Mechanics Through the Carlo Framework: A Mechanism for Structural Continuity Across Scales

DESCRIPTION:This work completes the unification of General Relativity and Quantum Mechanics by supplying the mechanism neither theory provides. GR describes gravity as smooth spacetime curvature, while QM describes matter and fields as quantised and probabilistic. These frameworks contradict each other at the Planck scale, producing singularities and theoretical breakdowns. Using the Carlo Framework, this paper introduces the contradiction engine, the trajectory update rule, and the Reset Operator > as the missing structural components that mechanise unification. The completed model treats the GR–QM conflict as a contradiction loop between continuous geometry and discrete quantum fluctuations. When this loop exceeds tolerance, the Carlo reset mechanism produces a unified higher-order structure that contains both quantised curvature and continuous limits. This paper formalises the unification contradiction, defines the reset threshold, and provides a dynamic mechanism linking classical geometry to quantum structure. KEYWORDS:general relativity, quantum mechanics, unification, quantum gravity, spacetime curvature, quantised fields, Planck scale, singularities, black holes, early universe, contradiction engine, Carlo Framework, Reset Operator, trajectory update rule, curvature quantisation, spacetime discreteness, continuous geometry, quantum fluctuations, GR–QM conflict, foundational physics, theoretical physics, dynamic systems, system reorganisation, contradiction loops, threshold dynamics, structural completion, mechanism-level explanation, quantum spacetime, unified structure, gravitational collapse, quantum behaviour, system reset events, structural dynamics, emergent geometry, quantum cosmology, black hole cores, curvature breakdown, quantum corrections, spacetime structure, conceptual engineering, physics foundations, dynamic unification, system transformation, Planck regime, high-energy physics, quantum fields, geometric quantisation, nonclassical geometry, unified evolution rules, contradiction-driven change, system evolution, theoretical reconstruction, quantum structure formation, spacetime modelling, gravitational dynamics, quantum transitions, curvature behaviour, unified physics framework