Quantum Superposition and Major Interpretations of Quantum Mechanics: Toward a Hypothesis of Two-Dimensional Time

Houcem Djemal

Published Jan 13, 2026• 0 citations

Abstract

We propose a simple, unconventional hypothesis to reinterpret key quantum phenomena—especially “two paths at once” in Young’s double-slit experiment and nonclassical entanglement correlations—within an extended notion of time. Besides ordinary time t, we introduce a hidden internal coordinate s that is not directly observable macroscopically but may be active in quantum regimes. Superposition is described as a single quantum system having support at multiple s values while sharing the same observed t, so apparent path multiplicity becomes a projection effect when s is ignored. Measurement corresponds to progressively restricting access to s, yielding a single outcome.

DOI: 10.5281/zenodo.18230648

Related papers

Reality in Superposition: Quantum Mechanics

Lev Reyzin

This chapter introduces quantum mechanics through the experimental discoveries that revealed the limits of classical physics. Beginning with the historical debate over whether light is a wave or a particle, it examines Young’s double-slit experiment and its modern single-particle versions, which demonstrate that quantum objects can exist in superpositions of mutually exclusive states. The chapter explains how interference arises when alternative possibilities are not measured and how interaction with the environment suppresses these effects through decoherence, giving rise to classical behavior at macroscopic scales. A sequence of thought experiments involving interferometers and Stern–Gerlach devices highlights the counterintuitive structure of quantum measurement and the incompatibility of certain physical properties, as captured by the uncertainty principle. The chapter emphasizes that quantum mechanics does not describe particles taking multiple paths simultaneously in a classical sense but rather requires a new framework for probability based on amplitudes and interference. Finally, the discussion connects these foundational ideas to emerging technologies such as quantum computing, showing how superposition and entanglement can be harnessed to perform computations that have no classical analogue.

Cambridge University Press eBooksOct 21, 20260 citations

The Overtime Interpretation of Quantum Mechanics

Stanislav Vasilyev

A key conceptual achievement of special relativity was the abandonment of absolute time and the introduction of an operational definition of simultaneity through clock synchronization. Building on Einstein’s operational treatment of simultaneity, we extend the logic of clock synchronization to the quantum domain. Within the Overtime interpretation, quantum systems evolve in an internal time τ that becomes related to the observer’s time t only through synchronization. Measurement is thus understood as a temporal embedding rather than a physical collapse. Crucially, this resolution requires no new ontological entities—no additional state vectors, hidden variables, collapse mechanisms, or cosmological boundary conditions. The parameter τ is simply the standard ordering parameter of the Schrödinger equation, reinterpreted as system-intrinsic. This approach preserves all standard quantum predictions, maintains relativistic causality, and offers a unified conceptual framework for superposition, entanglement, delayed-choice phenomena, and the apparent discontinuity of measurement. The interpretation naturally aligns with the operational logic of special relativity and clarifies the role of entropy and the arrow of time in distinguishing macroscopic and microscopic systems.

Feb 7, 20260 citations

Time Library: Path Selection Mechanics Without Wave Function Collapse

Andrzej Statowski

The classical interpretation of the double‑slit experiment ties path selection to the collapse of the wave function: observation destroys interference, and superposition disappears. In this preprint, I introduce an alternative, constructive model of path selection that does not require superposition, does not rely on parallel worlds, and does not destroy the underlying process during measurement. The model is built on three key elements: memory of the previous frame, the reorganization state of the medium (“the in‑between”), and a hierarchy of possible futures, represented as pages, notebooks, books, and libraries. I propose a mechanics of time in which each subsequent “frame” of reality does not emerge from nothing but is the result of medium reorganization between states. The in‑between generates all possible future scenarios (pages), from which the medium selects one — without destroying the others. This model extends the intuition of the double‑slit experiment into a full mechanics of time, allowing visualization of multi‑trajectory evolution without collapse. It is a home experiment: anyone can perform it mentally, similar to Einstein’s thought experiments, but in a constructive, mechanical form. ─── 1. Introduction: the problem of path selection in physics For over a century, quantum physics has struggled with the problem of path selection: Why does a photon “choose” a slit only upon measurement? Why does interference vanish when we observe the process? Why is superposition so fragile? Standard interpretations attempt to explain this through: • wave‑function collapse, • parallel worlds, • hidden variables, • superposition of states, • the role of the observer. All these approaches share one assumption: path selection is a property of the photon. In this preprint, I show that path selection is a property of the medium, not the photon. And that changes everything. ─── 1. The double‑slit experiment — limitations of the classical interpretation In the classical experiment: • the photon has all possible paths, • it interferes with itself, • measurement destroys interference, • path selection appears only at detection. This leads to paradoxes: • superposition exists only when unobserved, • the observer influences the outcome, • reality is “undefined” before measurement. The model presented here eliminates these paradoxes. ─── 1. The clamp and pages model: visualizing multi‑trajectory time Imagine: • a paper clamp holding the first page — this is Frame 1, the initial state, full information; • pages — possible future scenarios, reorganizations of the medium; • a notebook — a limited set of variants; • a book — the full structure of possible futures; • a library — the cosmos of all possible reorganizations. The clamp does not decide the future. The clamp simply says: “This is where the story begins.” ─── 1. The in‑between as the medium’s reorganization state The key insight: Time is not a line. Time is the medium’s reorganization process between frames. The in‑between is not empty. The in‑between is: • the place where memory of the previous frame is interpreted, • the place where all possible futures are generated, • the place where one page is selected, • the place where time is created. This is mechanical, not metaphysical. ─── 1. Memory of the previous frame as the foundation of time Each new frame: • does not arise from nothing, • is not independent, • is not a pure present moment. Each frame is the result of reorganizing the previous state. This is medium memory — the missing element in quantum physics. ─── 1. Path selection without destroying the process In classical physics: • measurement destroys superposition, • interference disappears, • path selection is destructive. In this model: • the in‑between generates all pages, • the medium selects one, • the remaining pages do not disappear, • measurement does not destroy the process, • path selection is constructive, not destructive. This is the fundamental difference. ─── 1. Notebook, book, library — hierarchy of possible futures Hierarchy of duration: • photon — zero duration → one page • matter — positive duration → notebook • black hole — boundary duration → book • singularity — absolute duration → library This is the mechanical structure of time. ─── 1. Consequences for quantum physics, cosmology, and time This model: • eliminates wave‑function collapse, • eliminates superposition as a necessity, • eliminates the observer as a destructive agent, • allows visualization of path selection, • connects quantum behavior with cosmology, • provides a mechanical description of time, • opens new directions for interpreting quantum experiments. ─── 1. Home experiment: anyone can perform it This is crucial. This experiment: • requires no laboratory, • no detectors, • no lasers, • no specialized equipment. It requires: • a clamp, • pages, • the concept of the in‑between, • understanding medium reorganization. It is a constructive experiment, accessible to everyone. ─── 1. Conclusions: a new mechanics of time I propose a model in which: • time is medium reorganization, • the future is a set of possible pages, • path selection does not destroy the process, • measurement is non‑destructive, • the photon does not choose — the medium chooses, • the in‑between is where reality is formed. This mechanics of time may open many doors — in quantum physics, cosmology, and the study of temporal structure.

Aug 6, 20260 citations

The Double-Slit Experiment Reinterpreted: Matter-Wave Propagation and the Physical Mechanism of Quantum Interference

YOUNG HO GOH

The double-slit experiment has stood for a century as the paradigmatic demonstration of quantum superposition: the standard interpretation holds that a particle passes through both slits simultaneously, existing in a superposition of two spatially separated states. This paper proposes a physically distinct alternative: the particle's matter wave — a real physical wave propagating through space in accordance with de Broglie's relation λ = h/p — passes through both slits, while the particle itself (matter) remains in an undetermined state until a constructive interference maximum is formed at the detection screen. The particle does not simultaneously occupy two locations; the wave does. This distinction eliminates the need for superposition as an ontological commitment while fully reproducing the observed interference pattern. We further show that the disappearance of the interference pattern upon which-path measurement is explained without invoking wavefunction collapse: the measurement interaction redirects the matter wave to a single-slit geometry, eliminating the two-wave interference condition. Three experimentally testable predictions distinguish this framework from the standard interpretation: (1) weak-measurement trajectory reconstruction should reveal single particle paths inconsistent with simultaneous two-slit passage; (2) diffraction fringe spacing should depend on the mass density of the slit material, because denser slit edges generate a steeper refractive-index gradient for the matter wave; (3) the fringe pattern should exhibit a density-dependent phase shift measurable with current matter-wave interferometry technology. This reinterpretation requires no new mathematical formalism — the Schrödinger equation and Born's rule are retained — but replaces the ontological claim of simultaneous multi-location existence with the physically consistent picture of matter-wave propagation through an undetermined-state particle.

Apr 22, 20260 citations

Time as Superposition: How Observation Collapses the Present

John Cicilioni

This paper proposes that time behaves not as a continuous stream but as a quantum superposition of possible moments that collapse into a single present through observation. The theory draws from quantum field models and wavefunction-based mathematics to argue that time carries amplitudes and interference effects much like spatial quantum states. Instead of treating time as a passive background, the model treats it as a measurable quantity that reacts to attention and resolution. Moreover, it integrates thought experiments, proposed physical tests using time-bin qubits and optical clocks, and theoretical links to entropy, consciousness, and metaphysics. It stays within the framework of relativity and standard quantum mechanics while offering a shift in how time is involved in measurement and reality formation. It suggests that the “now” does not exist until something observes it, and each observation activates one real version of time while excluding all others. Because of this, the paper calls for a new view of time—not as something flowing on its own but as a quantum variable that becomes real only through interaction.

Jun 30, 20250 citations

Higher-Dimensional Projection Theory with Computational Time

David Martínez-Méndez

This working paper proposes a speculative ontological framework in which selected quantumphenomena are interpreted as three-dimensional manifestations of higher-dimensional spatialstructures. The central hypothesis is that fundamental particles are not complete objectsconfined to accessible three-dimensional space, but higher-dimensional structures whose observableproperties correspond to constrained projections, slices, or manifestations within a coherentthree-dimensional layer. In this framework, time is not treated as a spatial dimension. Instead,time is defined as the computational ordering of state transitions. Measurement is interpretedas a physical interaction that constrains higher-dimensional possibility into a definite three-dimensional outcome. The double-slit experiment is used as a guiding example: superposition isinterpreted as multiple compatible three-dimensional manifestations of one higher-dimensionalentity, while which-path detection corresponds to a constraint that eliminates interference byforcing one stable observable manifestation. The framework does not replace standard quantummechanics. Rather, it proposes an ontological interpretation of why quantum formalism maybe required for observers whose access is restricted to a three-dimensional domain. Major openproblems include deriving the Born rule, reproducing the full formalism of quantum mechanicsand quantum field theory, explaining relativistic effects under computational time, and generatingtestable predictions.

Jul 10, 20260 citations