Axiomatic System of Helical Energy Flow Fields

General Relativity and the Standard Model of particle physics constitute the two pillars of modern physics. Nevertheless, their mathematical formalisms are mutually incompatible, hindering the unification of the four fundamental interactions. Meanwhile, fundamental physical puzzles including the intrinsic nature of inertia, the origin of quantized elementary charge, parity violation in weak interaction, and the origin of quantum measurement probability are only described phenomenologically and lack a self consistent unified physical picture. This paper constructs an axiomatic system of helical energy flow fields. It proposes that space consists of fundamental energy units with intrinsic helical motion. The cosmic space itself forms a closed vortex structure composed of these substrate units. Matter and electromagnetic radiation represent two classes of topological excitations of underlying energy units: open form perturbations correspond to photons, while closed vortex structures correspond to the minimal elementary units of matter. Inertial mass is defined as the configuration reconstruction barrier between a local steady state vortex and the spatial energy field. Based on twelve fundamental axioms, a topological dynamics framework with corresponding equations is derived, unifying gravitational, electromagnetic, strong and weak interactions within one dynamical system. Within this framework, the weak equivalence principle, quantization condition of elementary charge, quark confinement, 1/2 spin topological property of fermions, and the Pauli exclusion principle can be self consistently deduced. Relying on the innate chirality of the background helical field, the underlying mechanism for parity violation in weak interaction is explained. Several falsifiable experimental predictions are put forward to distinguish this exploratory framework from the Standard Model and the Higgs mass generation mechanism. At the present stage, the mathematical structure of dynamical equations is established, whereas relevant functionals and characteristic parameters await experimental calibration. Finally, existing theoretical gaps are outlined, pointing out directions for subsequent quantitative modelling and experimental verification.