PEDLER (Point Event-Driven Learner) is a proposed deterministic event–hypergraph framework for fundamental physics in which physical reality is modeled as a finite, typed, directed hypergraph evolving through local causal rewrite rules. This research poster presents the conceptual foundation of the PEDLER Unified Physics Programme, motivated by unresolved questions surrounding quantum measurement, wavefunction collapse, spacetime, gravity, and cosmology. It introduces the proposed primitive ontology, deterministic event dynamics, causal hypergraph evolution, emergent spacetime, quantum correlations, gauge interactions, black holes, and cosmological evolution within a unified conceptual framework. The poster concludes with an initial collection of foundational axioms, primitive rewrite operators, required emergence theorems, open mathematical problems, and experimentally falsifiable predictions. It is intended as the foundational blueprint for a long-term research programme rather than as a completed physical theory. Mathematical derivations of quantum mechanics, general relativity, gauge theory, particle physics, and cosmology remain objectives of future work requiring rigorous formalization, proof, computational validation, and empirical verification.
PEDLER (Point Event-Driven Learner) is a proposed deterministic event–hypergraph framework for fundamental physics in which physical reality is modeled as a finite, typed, directed hypergraph evolving through local causal rewrite rules. This research poster presents the conceptual foundation of the PEDLER Unified Physics Programme, motivated by unresolved questions surrounding quantum measurement, wavefunction collapse, spacetime, gravity, and cosmology. It introduces the proposed primitive ontology, deterministic event dynamics, causal hypergraph evolution, emergent spacetime, quantum correlations, gauge interactions, black holes, and cosmological evolution within a unified conceptual framework. The poster concludes with an initial collection of foundational axioms, primitive rewrite operators, required emergence theorems, open mathematical problems, and experimentally falsifiable predictions. It is intended as the foundational blueprint for a long-term research programme rather than as a completed physical theory. Mathematical derivations of quantum mechanics, general relativity, gauge theory, particle physics, and cosmology remain objectives of future work requiring rigorous formalization, proof, computational validation, and empirical verification.
This research poster advances PEDLER (Point Event-Driven Learner) from an initial conceptual blueprint to a structured axiomatic research programme for a deterministic foundation of modern physics. Building upon the proposed primitive ontology of finite typed directed event hypergraphs and deterministic local rewrite dynamics, the poster organizes the mathematical architecture required to derive quantum mechanics, gravity, gauge theory, particle physics, black holes, and cosmology from a common causal substrate. The programme distinguishes formal definitions, axioms, rewrite rules, conserved information invariants, lemmas, conjectures, target theorems, and experimentally falsifiable predictions, explicitly separating established mathematical structures from open research problems. It introduces the required categorical framework, hypergraph-to-geometry mappings, simplicial constructions, discrete differential geometry, continuum convergence programme, metric reconstruction, Lorentzian signature, Einstein gravity, quantum histories, amplitude functionals, Hilbert space emergence, Born rule derivation, particle topology, internal symmetries, gauge bosons, entanglement, decoherence, black holes, inflation, dark energy, and cosmological evolution within a unified dependency architecture. Rather than claiming completed derivations, the poster identifies the precise mathematical, computational, and experimental milestones necessary to rigorously establish each stage of the programme, providing a comprehensive axiomatic roadmap for investigating whether the known laws of physics can emerge from deterministic event–hypergraph dynamics.
This work proposes a novel conceptual framework for the foundations of physics, based on the idea that physical reality emerges from a discrete causal network of events and the accumulation of "memory" associated with these interactions. Unlike standard approaches, spacetime and elementary particles are not presupposed but emerge dynamically. The theory reinterprets General Relativity and Quantum Mechanics as manifestations of this memory dynamic in different density regimes. Concepts such as quantum collapse, the arrow of time, and particle properties are derived within this causal ontology. The work explores the consequences of applying the Heideggerian philosophical concept of historicity to the foundations of physics. Detailed appendices provide the mathematical formalization and emergent derivations.
Quantum phenomena are traditionally described as states evolving in spacetime, yet the zero–proper–time behavior of massless systems points to a different architecture—one in which propagation is not fundamental. Motivated by this observation, we develop a relational framework in which physical processes are represented not as trajectories but as relations between contexts and outcomes. The central object is a relational amplitude function R:B×O→C, organized as a fiber bundle whose slices R_b are selected by experimental contexts. Expressed entirely in standard mathematical terms—probability theory, quantum amplitudes, and fiber‑bundle structure—this relational architecture is precise and unambiguous. Interference, entanglement, and measurement emerge as geometric properties of slice selection rather than as dynamical evolution of a spacetime system. Interference arises when a slice contains multiple coherent contributions; entanglement arises from the non‑factorization of the relational object; and measurement corresponds to a context update rather than a physical collapse. The geometry of zero proper time motivates a shift from a spacetime ontology to a relational one, yielding a unified, non‑spatiotemporal account of quantum phenomena. The result is a structurally simple and conceptually coherent reformulation of quantum mechanics that dissolves long‑standing paradoxes and clarifies the relational foundations from which spacetime events arise. This is version 1.0 of the manuscript. Authors' note (October 2026). This is the original March 2026 manuscript, preserved unchanged as the starting point of an ongoing research program. It is a conceptual proposal, not a set of established results: the framework reformulates the standard quantum formalism in relational language and does not derive it. The proofs of Theorems 5.3 (entanglement) and 5.5 (no-signaling) require additional assumptions that the paper does not state, and claims that the framework “dissolves” the measurement problem or is “complete” should be read as aspirations. The original motivation subsequently led to investigations of geometric, analytic, and measurement-theoretic questions under more explicit assumptions. One such development is The Lorentz-Analytic Exterior: A Conditional Mathematical Framework (Version 2, October 2026), which examines related geometric and analytic structures without relying on the original paper’s zero-proper-time argument as a derivation of quantum mechanics. This later work does not validate the original manuscript’s unsupported claims. https://doi.org/10.5281/zenodo.23400176
The quantum measurement problem arises from a structural asymmetry in standard formulations of quantum mechanics: while unitary evolution is treated as fundamental, irreversible events are introduced only through ad hoc postulates. As a result, measurement, decoherence, and probability appear conceptually disconnected. In this work, we propose a minimal reformulation in which irreversible interaction events are taken as ontological primitives. An event is defined as a completely positive, trace-preserving map that is not equivalent to any unitary transformation. Unitary evolution emerges as an effective description valid between events. Within this framework, quantum measurement is not a special process but a particular class of irreversible events with outcome-resolving structure. The Born rule arises naturally from the statistical structure of event realizations, and environmental decoherence is reinterpreted as a high density of irreversible events. No collapse postulate, observer-dependent rule, or modification of quantum dynamics is required. This formulation provides a unified and physically grounded resolution of the measurement problem and establishes a conceptual foundation for event-based extensions connecting quantum theory with spacetime and gravity.
Event Density (ED) is a 13-Primitive Generative Substrate Ontology — a substrate-ontology research program in the lineage of 't Hooft's cellular-automaton interpretation of QM, Wolfram's Ruliad / hypergraph-rewriting program, and the causal-set program (Sorkin et al.). ED is NOT in the operational-reconstruction lineage of Hardy (2001), CDP (2011), Masanes-Müller (2011), or Coecke-Kissinger (2017), which derives finite-dimensional QM by closed proofs. ED asks a single foundational question: can the diverse phenomena of physics — quantum mechanics, gauge theory, gravity, black holes, turbulence, decoherence, entanglement — be generated from a small, well-specified substrate ontology? The program's answer is conditional: yes, given thirteen posited primitives (P01–P13) and a kernel calculus built from two substrate-level memory kernels (V1: finite-width retarded; V5: cross-chain finite-memory). This whitepaper is the program's public-facing front door. It introduces the 13 primitives, the kernel calculus, the substrate→continuum bridge (Diffusion Coarse-Graining Theorem, Paper_073, at verdict tier M3 within a hydrodynamic-window regime assumption), and the architecture of eight structurally complete research arcs (quantum kinematics, form-level QFT, gravity, black holes, Q-Compute limits, entanglement, soft matter / Navier-Stokes, foundational kernel theory). Methodological signature: form-FORCED / value-INHERITED with a three-tier verdict grammar (M1 / M2 / M3). Structural forms are derived from substrate primitives + explicitly-declared paper-specific postulates; numerical values are inherited from empirical matching. Each paper carries a load-bearing-step audit table labeling every claim. The program's most ambitious recent synthesis is the Substrate-Cosmology Boundary Unification (SCBU) and its six-paper ED-SC 4.x extension arc. SCBU is offered as the framework's organizing structural hypothesis: that the black-hole horizon, cosmic decoupling surface, deep-MOND acceleration scale, quantum-computing coherence threshold, soft-matter hydrodynamic Q-factor, and substrate-scale fixed-point are projections of a single substrate-cosmology boundary at R_H = c/H_0. The load-bearing derivation closing the synthesis (Route A: substrate-derived ℓ_V5(H_0)) is currently OPEN; SCBU is an organizing schema, not a closed cross-arc derivation. The program is falsifiable. The sharpest currently-clean empirical falsifier is the BTFR slope-4 relation with zero intrinsic scatter in the deep-MOND asymptotic (Paper_031), testable against existing galaxy-rotation-curve catalogs (SPARC). Other empirical falsifiers include the Class-A matter-wave coherence wall at 140-250 kDa and substrate-corrected Hawking spectrum signatures. What ED is NOT: a Theory of Everything, a derivation-from-nothing claim, or a closed-proof reconstruction. Open derivations (Route A, Phase-3 GR Einstein equation emergence, YM mass-gap closed proof, NS smoothness at Intermediate Path C) are named rather than hidden. The academic case for the 13 primitives is downstream cross-domain reach plus methodological consistency. The corpus comprises 100+ papers across eight research arcs plus theorem stubs and cross-arc syntheses; this whitepaper is the orientation entry point.
Abstract Modern physics faces a systemic crisis rooted in the incompatibility between General Relativity (GR) and Quantum Mechanics (QM). This crisis manifests in mathematical inconsistency, unresolved empirical anomalies, conceptual gaps, and the erosion of falsifiability in leading theoretical frameworks. The ZEBTS paradigm proposes a radical ontological shift: replacing spacetime as a fundamental entity with a generative hypergraph G*, whose dynamics produce all observable physical structures. This article presents the conceptual foundations of ZEBTS, formulates its principles, contrasts it with alternative approaches, and outlines its methodological and predictive framework.