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July 16, 20260 citationsOpen Access

Unified Spacetime Dynamics: The Carlo Resolution of the GR–QM Conflict (V2)

Key Points

This research aims to unify General Relativity and Quantum Mechanics using the Carlo Framework, addressing their long-standing incompatibility.
The Carlo Framework was utilized to establish a contradiction engine and trajectory update rule.
Mathematical bridges were developed between contradiction threshold and quantum-classical transition curves.
A companion document was created to provide formal definitions and examples.
A stable and scale-consistent unification mechanism was demonstrated.
The integration of curvature response function was confirmed, enhancing the unification model.
A worked example of a black-hole core illustrated the proposed mechanism effectively.

Abstract

This V2 release formally completes the unification of General Relativity and Quantum Mechanics using the Carlo Framework. The main paper introduces the contradiction engine, trajectory update rule, Reset Operator > , and the unified curvature–quantisation structure that resolves the long‑standing incompatibility between continuous spacetime geometry and discrete quantum behaviour. V2 adds the missing mathematical bridge between the contradiction threshold, the quantum–classical transition curve, and the curvature response function, producing a fully stable and scale‑consistent unification mechanism. This release also includes a companion document: the GR–QM Unification Compendium. The compendium provides the formal definitions, a worked black‑hole‑core example demonstrating the mechanism in operation, and a Carlo‑notation appendix ensuring consistency with the broader Carlo Framework. Together, the main paper and the compendium close all remaining gaps from V1 and establish a complete, operational, and structurally rigorous unification theory. Files included: Completing the Unification of General Relativity and Quantum Mechanics Through the Carlo Framework paper GR–QM Unification Compendium Paper Keywords: Carlo Framework, General Relativity, Quantum Mechanics, Unification, Contradiction Engine, Reset Operator, Transition Curve, Curvature Quantisation, Black Hole Core, Structural Continuity, Fundamental Physics, Dynamic Systems Contact: For enquiries or research questions related to this work, email matthewcarlo.research@gmail.com

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