Informational Physics: Global Entropic Consistency Principle and the Emergence of Physical Law

We propose a framework in which physical law emerges from a single global constraint: informational closure, formalized as a Global Entropic Consistency (GEC) principle. Instead of postulating spacetime structure, symmetries, or quantum dynamics a priori, we assume that the universe is a closed system of information flow. Starting from this assumption, we show that local conservation of information naturally leads to continuity equations and the necessity of representing dynamics in terms of flows. Requiring locality, linearity, and isotropy, we demonstrate that the minimal nontrivial representation of such flows is a two-component object, whose internal transformations generate a Pauli algebra. From these constraints, the Weyl equation emerges as the unique local dynamics compatible with norm preservation and rotational symmetry. We further argue that the existence of a finite maximal propagation speed follows from global consistency of information flow, which in turn enforces a causal structure. Requiring invariance of physical laws under transformations between observers then uniquely selects Lorentz symmetry. The associated invariant interval defines a Minkowski metric, interpreted not as a background geometry but as a constraint on admissible information transfer. Within this picture, chirality arises as a global topological orientation of information flow, while mass corresponds to coupling between opposite chiral sectors. Gauge redundancy appears as a necessary freedom in local phase assignments required to maintain consistency of distributed descriptions, leading naturally to U(1)-type structures. The framework suggests that key elements of modern physics—quantum dynamics, relativistic invariance, and gauge structure—may be understood as consequences of a single global consistency principle, rather than independent postulates. We outline the assumptions under which these results hold, identify remaining gaps (including the derivation of non-Abelian gauge symmetries and gravitational dynamics), and discuss directions for further development.