The First Law of Geometry: Geometric Reaction as a Foundation for Quantum Mechanics

This work introduces the First Law of Geometry, also called the Geometric Reaction Law (G → R = T + M), as part of a broader framework called the Law of Generative Order. The law states that geometry is absolute, and difference within geometry must react, producing matter and time. Starting from an action functional for density ρ and phase S, variation yields the continuity equation and a Hamilton–Jacobi equation with a quantum potential Q[ρ,g]. Together, these reproduce the Schrödinger equation and recover benchmark cases such as the hydrogen 1s state and Gaussian wavepacket spreading. The framework is presented as a conceptual and mathematical proposal for quantum foundations. Disclaimer: This is an original preprint and has not undergone peer review. All equations and derivations are presented in good faith but may contain errors. Feedback and critical review are welcome.