This work proposes a theoretical framework reinterpreting particle motion andfield excitation propagation as emergent phenomena arising from sequences of discrete transition events, rather than traditional continuous trajectories or waves.We develop an operator algebra to explore how fundamental physics might emergefrom such transitions, which could operate at either discrete or infinitesimal scalesdepending on spacetime’s structure. The spacetime-agnostic architecture accommodates both continuous and discrete models while offering fresh perspectives on paradoxes of particle identity, field localization, and quantum measurement. Testable predictions for mass-dependent quantum interference phenomena are derived, providing potential experimental pathways to probe the transition-based paradigm.
This work proposes a theoretical framework reinterpreting particle motion andfield excitation propagation as emergent phenomena arising from sequences of discrete transition events, rather than traditional continuous trajectories or waves.We develop an operator algebra to explore how fundamental physics might emergefrom such transitions, which could operate at either discrete or infinitesimal scalesdepending on spacetime’s structure. The spacetime-agnostic architecture accommodates both continuous and discrete models while offering fresh perspectives on paradoxes of particle identity, field localization, and quantum measurement. Testable predictions for mass-dependent quantum interference phenomena are derived, providing potential experimental pathways to probe the transition-based paradigm.
We present a quantum framework grounded in micro-causality and spacetime quantization, where spacetime is composed of discrete, causally ordered units rather than a continuous manifold. This intrinsic structure naturally generates fundamental quantum features—wave–particle duality, energy quantization, and the Heisenberg uncertainty principle—without invoking canonical quantization, matter-wave postulates, or harmonic-oscillator models. Consequently, this paradigm eliminates the long-standing paradoxes of wavefunction collapse, self-interference, and non-local spooky correlations in entanglement.Within this causal lattice spacetime, quantum commutation relations emerge from finite shift operators, and the uncertainty principle arises geometrically from non-commutativity at the fundamental level. Unlike standard quantum field theory (QFT), which predicts infinite vacuum energy and requires renormalization, the present framework removes zero-point energy, ultraviolet divergences, and fine-tuning. Moreover, U(1) symmetry is broken geometrically on the lattice, leading to mass generation without a Higgs mechanism.The Casimir effect is reinterpreted as a temperature-dependent imbalance in thermal radiation pressure rather than the consequence of vacuum fluctuations, predicting that the Casimir force should vary with ambient temperature. Experimental confirmation of such dependence would directly support the lattice interpretation and challenge the QFT view of vacuum energy.By unifying key quantum behaviors through discrete causal geometry, this model offers a divergence-free and physically grounded alternative to continuum-based QFT. It opens new avenues for quantum unification, cosmology, and the understanding of fundamental constants, without speculative constructs, singularities, or infinities.
Abstract The nature of fundamental particles remains one of the deepest unresolved questions in modern physics. While quantum field theory describes particles as excitations of underlying fields, and string theory posits them as vibrational modes, neither framework fully explains the origin of particle properties, identity, or the informational architecture that governs their behavior. This volume presents a comprehensive reformulation of particle ontology within the Informational Constraints Quantum Event Realism (ICQER) framework. We propose that particles are not fundamental entities but emergent, stable clusters of discrete quantum events bound together by networks of informational constraints. Through this lens, we demonstrate how particle properties—including mass, charge, and spin—arise naturally from the geometry and topology of event clusters embedded in the constraint lattice. The formation, stability, and dynamics of event clusters are examined in detail, revealing constraint propagation as the fundamental mechanism underlying binding forces and interactions. Particle identity and indistinguishability are resolved through equivalence classes of cluster configurations, providing an ontological foundation for quantum statistics (Fermi–Dirac and Bose–Einstein). Interactions, creation, and annihilation processes are reinterpreted as dynamical reconfigurations of constraint networks, establishing a direct correspondence with quantum field operators while potentially eliminating divergences through discrete regularization. We further explore the implications for quantum field theory, offering pathways toward a finite, unified description that reconciles particle and field perspectives as scale-dependent manifestations of the same underlying event-constraint architecture. Experimental signatures and testable predictions are identified, including modified scattering amplitudes, vacuum phenomena deviations, and constraint-induced correlations beyond standard quantum entanglement. This volume advances the ICQER–ToE program by grounding particle physics in a coherent, information-theoretic ontology, transforming our understanding of particles from fundamental objects to emergent informational structures woven from the fabric of reality itself.
This paper introduces a novel theoretical framework that bridges discrete and continuous descriptions in physics through a unified probabilistic approach. At its core, the framework demonstrates how continuous forms naturally emerge from discrete entities via probability distributions, providing fresh insights into phenomena ranging from classical mechanical systems to quantum mechanics. The work develops a rigorous mathematical formalism that includes a geometric interpretation through Riemannian metrics and extends naturally to relativistic systems.What sets this approach apart is its ability to describe transitions between discrete and continuous regimes using a single mathematical structure, while maintaining compatibility with both classical and quantum mechanical descriptions. The framework introduces a continuity probability function that characterizes systems across all scales, offering new perspectives on wave-particle duality and the emergence of continuous forms in nature. By providing a unified mathematical language for describing such phenomena, this work opens up new possibilities for understanding the relationship between discrete and continuous aspects of physical reality.
This project presents a conceptual reinterpretation of wave–particle phenomena in quantum experiments by introducing a relational-temporal perspective on measurement and event formation. Rather than treating wave-like and particle-like behavior as competing ontological properties of quantum entities, the framework distinguishes between extended relational amplitude structures and localized measurement events. Interference phenomena are interpreted as manifestations of relational structures distributed across spacetime, while particle detections are understood as temporally stabilized events emerging through measurement interactions. By reviewing key experimental paradigms—including double-slit interference, which-path experiments, quantum erasers, weak measurements, and decoherence—the study demonstrates that many apparent paradoxes of quantum mechanics arise from classical assumptions about intrinsic properties and time as an external background parameter. Without modifying the formalism of quantum theory, the relational-temporal interpretation offers a physically conservative framework that reframes wave–particle duality as a distinction between structure and event rather than a dual ontology of physical objects.
This paper proposes the Excitation Field Unification (EMU), a theoretical framework that unifies quantum mechanics and general relativity by redefining the fundamental structure of spacetime. We posit that the universe is not a continuous manifold but a discrete lattice of physical scalar oscillators (Quantum Circulation Loops). By rejecting the probabilis- tic interpretation of the wave function in favor of a realistic "physical rotation" model, we demonstrate that matter and mass emerge inevitably as topological defects (winding num- bers) within this lattice. Furthermore, we derive the wave-particle duality and the de Broglie relations as geometric consequences of pattern propagation on the lattice, without invoking the collapse of a wavefunction. This work constitutes Part I of a trilogy, focusing on the ontology of the quantum state and the origin of mass, setting the stage for the emergence of gravity (Part II) and fundamental constants (Part III).
This work develops a theoretical framework in which the Planck constant ℏ is promoted from a fixed universal constant to a dynamical field ℏ(x), defining a continuum of quantum regimes. The quantum state space is extended into a bundle of Hilbert spaces labeled by distinct ℏ values, allowing quantum systems to evolve not only in spacetime but also along an additional ℏ-dimension. Within this framework, discrete quantum transitions emerge as projections of smooth trajectories in the extended (x, ℏ) space, while coherence and entanglement acquire a geometric interpretation. The theory introduces scalar excitations of the ℏ-field, termed hbarons, and predicts observable signatures in interferometry, atomic spectroscopy, quantum optics, and cosmology. Standard quantum mechanics is recovered in the limit ∂μℏ → 0. The model offers a unified geometric perspective on quantization, coherence, and entanglement, and provides concrete experimental pathways for testing variability of the Planck constant.