The Measurement Problem in Quantum Mechanics.pdf
0 likes19 views
This paper introduces a novel theoretical framework aimed at reconciling quantum nonlocality, the measurement problem, and relativistic invariance. The model proposes a discretized spacetime lattice interwoven with a non-local, infinitely scalable grid dimension. This grid, conceptualized as a structural discontinuity between Planck-scale quantized units of spacetime, enables the staggering of parallel worlds and relativistic frames of reference without mutual interference. The framework offers a geometric interpretation of quantum entanglement and the Many-Worlds Interpretation, and aligns with Feynman's path integral formulation. While speculative, it is grounded in existing theoretical insights and provides a fertile ground for further exploration in quantum gravity and cosmology.
The Measurement Problem in Quantum Mechanics.pdf
- 1. The Measurement Problem in Quantum Mechanics Written by: Eran Sinbar Affiliation: independent researcher, Misgav, Israel Corresponding Author Email: eyoran2016@gmail.com Abstract This paper introduces a novel theoretical framework aimed at reconciling quantum nonlocality, the measurement problem, and relativistic invariance. The model proposes a discretized spacetime lattice interwoven with a non-local, infinitely scalable grid dimension. This grid, conceptualized as a structural discontinuity between Planck-scale quantized units of spacetime, enables the staggering of parallel worlds and relativistic frames of reference without mutual interference. The framework offers a geometric interpretation of quantum entanglement and the Many-Worlds Interpretation, and aligns with Feynman's path integral formulation. While speculative, it is grounded in existing theoretical insights and provides a fertile ground for further exploration in quantum gravity and cosmology. Keywords Quantum Measurement Problem, Many-Worlds Interpretation, Quantum Nonlocality, Relativistic Invariance, Grid Dimension, Planck Scale, Quantum Gravity 1. Introduction Quantum mechanics presents a profound conceptual challenge in the form of the measurement problem. According to Schrödinger’s equation, quantum systems evolve deterministically in a superposition of states. However, upon measurement, only a single outcome is observed. This discontinuity between unitary evolution and measurement collapse remains unresolved. 2. The Many-Worlds Interpretation and the Problem of Localization One of the most compelling responses to this paradox is the Many-Worlds Interpretation (MWI), which posits that all possible outcomes of a quantum event are realized in a branching multiverse. Each quantum event results in a bifurcation of the universe into parallel, non-interacting branches. However, this interpretation raises a fundamental question: where and how are these parallel worlds instantiated? 3. Quantized Spacetime and the Grid Dimension Recent developments in quantum gravity and information theory suggest a possible framework. The Bekenstein-Hawking entropy bound implies that information is discretized at the Planck scale, hinting that spacetime itself may be composed of fundamental, quantized units. Building on this, we propose a model in which spacetime is discretized into Planck-scale units, and these units are embedded within or connected by a non-local, grid- like dimension.
- 2. 4. The Grid as a Structural Discontinuity This additional dimension—referred to here as the grid dimension—is not spatial in the conventional sense but acts as a non-local connective structure between discrete spacetime units. It can be conceptualized as a higher-dimensional lattice or matrix that enables instantaneous correlations across spatially separated regions, thereby offering a geometric resolution to quantum nonlocality and entanglement. 5. Implications for Relativity and Light Propagation In this framework, light propagates through the grid dimension by traversing one Planck length per Planck time for each staggered matrix of spacetime. This mechanism ensures that the speed of light remains invariant across all frames of reference and parallel worlds, consistent with the postulates of special relativity. 6. Conceptual Unification and Future Directions While this model is not empirically verifiable with current technology, it provides a conceptual scaffold that unifies several foundational issues in physics. It offers a visualizable and mathematically tractable approach to: • Quantum nonlocality, by enabling instantaneous correlations via the grid; • The measurement problem, by embedding all possible outcomes in a staggered multiverse; • Special relativity, by interpreting each parallel world as a distinct frame of reference evolving through the grid. Moreover, this structure aligns with Feynman's path integral formulation, wherein particles explore all possible trajectories. Each path can be interpreted as a traversal through a different branch of the grid, contributing to the observed outcome via quantum interference. Conclusion The proposed model of quantized spacetime interlaced with a non-local grid dimension offers a unified ontological framework for understanding quantum mechanics, relativity, and the multiverse. While speculative, it is grounded in existing theoretical insights and provides a fertile ground for further exploration in quantum gravity and cosmology.