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Phase-Relative Branch Multiplicity and the Illusion of Parallel Worlds

John F. Ryder

Published Feb 6, 2026• 0 citations
Publisher

Abstract

Quantum mechanics does not require parallel universes — only phase-relative structure within a shared spacetime manifold. This preprint presents an interpretive framework for quantum multiplicity that avoids spatial “parallel universe” metaphors. Building on standard quantum field theory, Everettian quantum mechanics, and decoherence theory, it argues that apparent multiplicity can be understood as phase-relative branch structure within a single shared spacetime manifold, rather than as spatially separate worlds. The work introduces no new dynamics, equations, or empirical predictions. Its contribution is conceptual: clarifying how mutually exclusive classical outcomes arise through branch-relative accessibility and loss of correlation, while preserving all governing invariants, including conservation laws and universal gravitational coupling in the semiclassical regime. A companion supplementary document presents the standard mathematical formalism—Hilbert space structure, density matrices, decoherence, and expectation-value stress–energy—to demonstrate that the interpretation remains fully consistent with established physics. In approaches to quantum gravity where spacetime is emergent—such as loop quantum gravity or holographic dualities—the framework would naturally reformulate in relational or entanglement-theoretic terms. In that context, branch-relative multiplicity corresponds not to multiple times or geometries, but to multiple decohered relational histories or bulk reconstructions supported by a single underlying quantum state. This paper is intended as a foundations-level reinterpretation for physicists and philosophers of physics interested in quantum ontology, decoherence, and the conceptual structure of spacetime.

DOI
10.5281/zenodo.18507961

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Quantum mechanics does not require parallel universes — only phase-relative structure within a shared spacetime manifold. This preprint presents an interpretive framework for quantum multiplicity that avoids spatial “parallel universe” metaphors. Building on standard quantum field theory, Everettian quantum mechanics, and decoherence theory, it argues that apparent multiplicity can be understood as phase-relative branch structure within a single shared spacetime manifold, rather than as spatially separate worlds. The work introduces no new dynamics, equations, or empirical predictions. Its contribution is conceptual: clarifying how mutually exclusive classical outcomes arise through branch-relative accessibility and loss of correlation, while preserving all governing invariants, including conservation laws and universal gravitational coupling in the semiclassical regime. A companion supplementary document presents the standard mathematical formalism—Hilbert space structure, density matrices, decoherence, and expectation-value stress–energy—to demonstrate that the interpretation remains fully consistent with established physics. In approaches to quantum gravity where spacetime is emergent—such as loop quantum gravity or holographic dualities—the framework would naturally reformulate in relational or entanglement-theoretic terms. In that context, branch-relative multiplicity corresponds not to multiple times or geometries, but to multiple decohered relational histories or bulk reconstructions supported by a single underlying quantum state. This paper is intended as a foundations-level reinterpretation for physicists and philosophers of physics interested in quantum ontology, decoherence, and the conceptual structure of spacetime.
Popular accounts of quantum mechanics and cosmology increasingly invoke metaphors of “layered realities,” parallel universes, or co-located worlds accessible through perceptual or conscious “tuning.” While such metaphors are rhetorically compelling, they misrepresent both the operational content of quantum theory and the physical meaning of decoherence. In this correspondence, we argue that scalar-time physics (Time-Scalar Field Theory, TSFT) admits no ontological multiplicity of macroscopic histories. Instead, persistence of information requires dynamically stabilized resonance structures within a single continuous scalar-time manifold. Unrealized possibilities do not constitute parallel realities; they dissipate as non-propagating phase fluctuations once coherence is lost. We show that neither observer consciousness nor neural resonance functions as a selector among coexisting worlds, but rather as a coherenceparticipating subsystem embedded in the same scalar-time geometry. This framework preserves quantum indeterminacy without invoking ontological inflation and maintains empirical accountability through experimentally testable coherence dynamics.
At present, there are two possible, and equally plausible, explanations for the physics of quantum measurement. The first explanation, known as the many-worlds interpretation, does not require any modification of quantum mechanics, and asserts that at the time of measurement the Universe splits into many branches, one branch for every possible alternative. The various branches do not interfere with each other because of decoherence, thus providing a picture broadly consistent with the observed Universe. The second explanation, which requires quantum mechanics to be modified from its presently known form, is that at the time of measurement the wavefunction collapses into one of the possible alternatives. The two explanations are mutually exclusive, and up until now, no theoretical reasoning has been put forward to choose one explanation over the other. In this article, we provide an argument which implies that the collapse interpretation is favored over the many-worlds interpretation. Our starting point is the assertion (which we justify) that there ought to exist a reformulation of quantum mechanics which does not refer to a classical spacetime manifold. The need for such a reformulation implies that quantum theory becomes nonlinear on the Planck mass/energy scale. Standard linear quantum mechanics is an approximation to this nonlinear theory, valid at energy scales much smaller than the Planck scale. Using ideas based on noncommutative differential geometry, we develop such a reformulation and derive a nonlinear Schrödinger equation, which can explain collapse of the wavefunction. We also obtain an expression for the lifetime of a quantum superposition. We suggest ideas for an experimental test of this model.
This work presents a conceptual and representational framework aimed at clarifying the structural relationships among established physical theories across relativistic, quantum, and cosmological regimes. Rather than proposing new dynamical laws, particles, or experimentally testable predictions, the manuscript focuses on how existing physical descriptions may be consistently interpreted within a unified representational structure. The proposed Dual-Spacetime Projection Framework distinguishes between an underlying descriptive domain and an observed effective spacetime, connected through a scale-dependent projection. This distinction is intended as a formal and interpretative tool, not as an ontological claim about the existence of multiple physical spacetimes. Within this perspective, several foundational features of modern physics—such as Lorentz invariance, finite signal propagation, quantum uncertainty, and large-scale cosmological behavior—are discussed as consequences of representational structure rather than as independent postulates. The manuscript is positioned as a contribution to the foundations of theoretical physics, offering a coherent conceptual lens for organizing and interpreting existing theories. It is intended for readers interested in foundational questions, conceptual unification, and the representational aspects of physical law, and does not rely on experimental data or numerical simulation.
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Everett's relative-state construction in quantum theory has never been satisfactorily expressed in the Heisenberg picture. What one might have expected to be a straightforward process was impeded by conceptual and technical problems that we solve here. The result is a construction which, unlike Everett's one in the Schrödinger picture, makes manifest the locality of Everettian multiplicity, its inherently approximative nature and its origin in certain kinds of entanglement and locally inaccessible information. (By Everettian , we are referring not only to Everett's own work, but also to versions of quantum theory that elaborate and refine his. The notion of relative states first appeared in Everett (Everett 1973 In The many worlds interpretation of quantum mechanics (eds BS DeWitt, N Graham)). We are proposing a formalism for relative states that is more detailed and more illuminating than Everett's.) Our construction also allows us to give a more precise definition of an Everett ‘universe’, under which it is fully quantum, not quasi-classical, and we compare the Everettian decomposition of a quantum state with the foliation of a space–time.
This paper proposes a geometric interpretive framework for a set of foundational phenomena in quantum physics, including the measurement problem, quantum entanglement, and the emergence of classical spacetime structure. Building on the dimensional analogy introduced by Abbott (1884), we develop a model in which observed physical events correspond to lower dimensional intersections of higher-dimensional wave-like structures with an observer's accessible domain. Within this picture, a particle detection event is reinterpreted as the intersection of an extended wave with an observer's plane, and measurement outcomes arise from the geometric relationship between the observer's orientation and the underlying structure, rather than from a physical collapse process. In the context of entanglement, we develop a model in whichcorrelated outcomes observed by spatially separated detectors are understood as local samplings of a single wave generated at a common origin event . The dependence of measurement correlations on detector settings is interpreted in terms of angular separation along the shared wave front, yielding an account consistent with the standard quantum prediction P(same) = cos²(θ/2). The proposal does not modify the mathematical formalism of quantum mechanics and does not introduce novel quantitative predictions at this stage. Its contribution is conceptual: it provides a coherent geometric perspective that unifies several interpretive challenges—wave–particle duality, the measurement problem, and apparent non-locality—within a single structuralpicture. Connections to relational quantum mechanics, holographic duality, and the ER = EPR conjecture are identified as indications of structural compatibility. Open questions and possible directions for formalization are outlined.