Relational Particles: A Field-Based Framework for Quantum Emergence, Identity, and Disappearance

Fisenko

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Does Physical Existence Require Predefined Identity, Position, or Distance? This paper investigates a foundational possibility: physical entities may exist without possessing fully defined relational identities, positions, or measurable distances. It proposes that these properties become physically meaningful through relational structures capable of representing the information that defines them. The framework explores two applications of this principle. In quantum physics, it examines the indistinguishability of identical particles, fermionic antisymmetry, bosonic occupation multiplicity, and entanglement through the distinction between physical existence and relational identity. In emergent geometry, it proposes that spatial distinction can precede measurable distance, with metric structure arising from a larger network of physical relations. The mathematical development introduces a weighted relational network and employs graph Laplacians, Green functions, spectral dimension, and effective resistance to investigate the emergence of geometric structure. A relational compensation principle motivates preliminary equilibrium conditions and dynamical models. An initial numerical experiment shows that a localized perturbation can produce a nonlocal structural response across the network. Although this result does not yet reproduce a gravitational law, it provides a concrete starting point for investigating field-like behavior within the proposed framework. The central contribution is a common relational foundation for quantum identity and emergent spacetime geometry, supported by mathematical constructions and preliminary numerical investigation. The work does not claim a completed unification of quantum mechanics and general relativity. Open challenges include deriving a unique network dynamics, three-dimensional space, the Born rule, and gravitational field equations. The principal research question is whether a single relational dynamics can yield quantitative, testable predictions in both quantum physics and emergent spacetime geometry.

Gil C. Santos

Clint Svancara

Denis Bailet

This paper argues that virtual particles are not physical entities but structural adjustments within a quantum field. Using a relation‑first framework, it reframes the vacuum as a generative environment that maintains coherence under constraint. Virtual particles are treated as local signatures of global relational updates, not objects that appear and disappear. This interpretation clarifies the Casimir effect, avoids reification, and aligns quantum field behavior with a broader relational ontology in which structure—not substance—does the explanatory work.

Diederik Aerts