Unification Journey: From Newton, Relativity and Quantum to Order Mechanics

Order Mechanics (OM) proposes a mathematically coherent framework for the Grand Unification of Physics. Originating from Order Dynamics: The Origin and Evolution of Everything [1], OM introduces a new fundamental field—the Order Field (O)—which treats order as the universal subject of physical law. Its central aim is to unify Newtonian Mechanics (NM), General Relativity (GR), and Quantum Mechanics (QM) at the level of first principles [2–4]. OM is built on two intrinsic variables: the spacetime curvature R of GR, and the generalized uncertainty (Delta_gu), which extends the quantum uncertainty (Delta_qm) of QM. From these variables, OM defines a new foundational physical quantity, order, expressed conceptually as O proportional to R divided by Delta_gu. The order field quantifies the local ratio between geometric determinism and informational dispersion, serving as a unified measure of spacetime structuring and multi-scale stochasticity. The generalized uncertainty Delta_gu acts as an effective source of indeterminacy, encompassing quantum fluctuations, thermodynamic entropy production, statistical perturbations, chaotic noise, and cosmological structural variations. This grants OM natural universality across physical scales. Guided by the Causality–Entropy Law (CEL) [1], OM resolves the universe’s dynamics into two conjugate forces: the Causal Force (F_c) and the Entropic Force (F_e). The asymmetric competition between these two forces forms the underlying mechanism of the formation, evolution, and dissipation of order, governing physical behavior from cosmological gravitation to quantum fluctuation. Through this causality–entropy conjugation, OM integrates the geometric determinism of GR, the probabilistic nature of QM, and broader stochastic processes within a unified, Newton-like dynamical framework—achieving a principled synthesis of the classical, relativistic, and quantum domains. Keywords: Order Mechanics (OM); Unified Theory; General Relativity; Quantum Mechanics; Entropy; Complex Systems; Emergent Dynamics; Complexity; Causality; Cosmology; Cosmic Expansion; Dark Energy; Entropic Gravity; Particle Physics.