Geometric Reaction: From Quantum Hydrodynamics to a Cross-Domain Generative Conjecture

This work introduces the postulate of Geometric Reaction (G → R = T + M) within the Law of Generative Order: geometry is treated as absolute, and difference within geometry must react, producing time and matter. Starting from an action 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 are mathematically equivalent to the Schrödinger equation and recover benchmark cases such as the hydrogen 1s state and Gaussian wave-packet spreading. Thus the framework provides a hydrodynamic restatement of quantum mechanics without postulating probability. Beyond the quantum recovery, the manuscript develops cross-domain applications: chemistry (fusion and bonding), geology (tectonics and earthquakes), biology (abiogenesis sketch, membrane/gamete fusion, metamorphosis, antibiotic resistance), engineering (modular/system “fusion,” control back-reaction), and cognition/narrative (nociception/reflex, dialogue repair). The framework is compatible with loophole-free Bell tests and PBR: determinism is contextual and global; correlations are nonlocal yet non-signalling; ensemble statistics follow the Born rule as epistemic summaries of unresolved geometry. Back-reaction (G → R → G′) suggests a link to spacetime dynamics, and a tentative experimental handle is sketched via curvature-coupled modifications of Q. These extensions are conjectural and open to test. Disclaimer. Preprint; not peer reviewed. Equations and derivations are presented in good faith and may contain errors. Feedback and critical review are welcome. Priority note. This preprint first states the postulate of Geometric Reaction (Urrea, 2025).