Continuous Causality and the Emergence of classical physical Laws

We propose a framework in which physical law arises as an approximation to continuous causality. Instead of assuming that causal relations form a discrete set of events, we posit that between any two events there exists an uncountable, densely ordered continuum of intermediate causal connections. This continuous causal fabric replacesthe conventional notion of spacetime points with a real-valued ordering structure, in which each event is a limiting boundary of infinitely many causal intermediates. The mathematical laws of physics then emerge as effective descriptions of the averaged behavior along such continuous causal chains. Within this framework, geometry and dynamics are interpreted as statistical projections of an underlying causal continuum endowed with a measure and local kernel of influence.