PEDLER Unified Physics Research Programme

This research poster presents the current comprehensive formulation of the PEDLER (Point Event-Driven Learner) Unified Physics Research Programme, extending the original conceptual framework into a large-scale axiomatic research architecture for the deterministic reconstruction of modern physics. Beginning with a primitive ontology of finite typed directed event hypergraphs and deterministic local rewrite dynamics, the programme systematically develops the mathematical foundations required for information conservation, category-theoretic structure, hypergraph geometry, simplicial constructions, discrete differential geometry, continuum reconstruction, emergent spacetime, Lorentzian geometry, gravity, quantum mechanics, gauge theory, particle physics, thermodynamics, black holes, and cosmology. The framework explicitly organizes formal definitions, primitive ontology, rewrite algebra, conserved invariants, working axioms, lemmas, conjectures, dependency graphs, target theorems, computational algorithms, simulation requirements, and experimentally falsifiable predictions into a coherent dependency hierarchy. It identifies the mathematical pathways required to derive quantum amplitudes, Hilbert spaces, the Born rule, Einstein field equations, gauge symmetries, Standard Model structures, cosmological evolution, and other established physical theories from deterministic event-hypergraph dynamics while clearly distinguishing established mathematical constructions from open research problems. The programme also outlines the computational infrastructure necessary for theorem proving, numerical simulation, automated verification, and empirical validation. Rather than presenting a completed unified theory, this poster defines the architectural blueprint and long-term research roadmap required to establish a rigorous deterministic foundation from which the known laws of quantum mechanics, gravitation, gauge interactions, thermodynamics, black holes, and cosmology may ultimately emerge.