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Hidden Variable Field of Laws (HVFL)

Jincheng Zhang

Published Aug 17, 2026• 0 citations
Publisher

Abstract

The Hidden Variable Field of Laws (HVFL) proposes a novel framework for understanding the fundamental nature of physical laws. It posits that the apparent randomness observed in quantum mechanics and other physical phenomena arises not from inherent indeterminacy, but from the influence of a previously unobserved 'control field' – denoted as [Λ(x)]. This field, characterized by a spatial dependence Λ(x), dictates the specific form of physical laws at any given point in space. The HVFL aims to reconcile deterministic principles with the observed probabilistic outcomes by suggesting that the universe operates according to pre-determined laws, but these laws are effectively 'shaped' by this underlying control field. This paper outlines the core concepts of the HVFL, explores its implications for established physics, and considers its potential to unlock a deeper understanding of the universe and potentially lead to significant breakthroughs. The model provides a framework for analyzing observed phenomena through the lens of this control field, offering a potentially novel approach to resolving longstanding questions regarding causality and the nature of reality. ---

DOI
10.5281/zenodo.21975821

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The Hidden Variable Field of Laws (HVFL) proposes a novel framework for understanding the fundamental nature of physical laws. It posits that the apparent randomness observed in quantum mechanics and other physical phenomena arises not from inherent indeterminacy, but from the influence of a previously unobserved 'control field' – denoted as [Λ(x)]. This field, characterized by a spatial dependence Λ(x), dictates the specific form of physical laws at any given point in space. The HVFL aims to reconcile deterministic principles with the observed probabilistic outcomes by suggesting that the universe operates according to pre-determined laws, but these laws are effectively 'shaped' by this underlying control field. This paper outlines the core concepts of the HVFL, explores its implications for established physics, and considers its potential to unlock a deeper understanding of the universe and potentially lead to significant breakthroughs. The model provides a framework for analyzing observed phenomena through the lens of this control field, offering a potentially novel approach to resolving longstanding questions regarding causality and the nature of reality. ---
This paper introduces the Quantum State Hidden Degree (HQSD) framework, a novel approach to understanding quantum mechanics that moves beyond the standard Copenhagen interpretation. The core idea centers on the possibility of hidden variables, not as merely correcting for measurement errors, but as fundamental elements intrinsically linked to the quantum state itself. We propose that a quantum state, represented as [|\psi\rangle], may possess additional "hidden degrees of freedom" denoted as [λq], which are distinct from traditional hidden variables. These λq variables influence the correlations observed in quantum experiments, yet are not simply corrections to a pre-existing, objective reality. The HQSD framework aims to provide a more complete and potentially more accurate description of quantum phenomena, particularly concerning entanglement and non-locality. This work outlines the theoretical foundations of HQSD and explores its potential implications for understanding fundamental aspects of quantum mechanics. ---
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This paper presents a novel theoretical model for quantum decoherence based on topological hidden-variable field theory. The core claim is to establish a model that elucidates the physical mechanism of quantum decoherence and offers a new theoretical foundation for research into quantum computation's resilience against decoherence. We posit that quantum decoherence can be viewed as an emergent phenomenon arising from interactions mediated by hidden variables within a topological hidden-variable field structure. The model utilizes mathematical tools derived from topological hidden-variable field theory to formulate and analyze the underlying physical processes. We demonstrate how the topological nature of the hidden-variable fields influences the decoherence process, providing a fresh perspective on this fundamental challenge in quantum information science. The model aims to bridge the gap between quantum mechanics and topological physics, potentially leading to innovative strategies for mitigating decoherence in quantum computing systems. Key parameters and variables are defined within the model, and the theoretical framework is presented with a focus on providing a conceptual understanding of the decoherence mechanism.
This work develops a deterministic, field-based reformulation of quantum mechanics in which entanglement arises naturally from correlated hidden variables, directly realizing Einstein’s prediction. Fermions are modeled as coupled real fields whose internal oscillatory phases provide a physical ontology for spin, interference, and charge. The model yields the standard −cosθ correlation law in the uniform-phase limit, while predicting a small deterministic correction C( θ )=−cosθ+ε sin 2 θ with ε≈0.06 . This deviation is benchmarked against historic and modern Bell tests, showing it is not excluded but lies within the sensitivity of angle-resolved experiments. Thus, the work provides a realist, experimentally testable account of entanglement, aligning with Einstein’s vision of hidden variables. Experimental deviation between the quantum mechanics model to our real coupled-fields model is expected to be of order ε=0.06 . The model provides unique experimental predictions—a finite offset at symmetry points (e.g. Δ = 45˚) not explained by noise or reduced visibility. This work examines the violation of Bell’s inequality through the lens of the Coupled-Fields model. While standard quantum mechanics attributes these results to nonlocal entanglement, the Coupled-Fields framework reproduces the same correlations through deterministic, local interactions between the internal variables of the coupled strings. Each fermion pair shares an intrinsic phase relationship established at creation, which governs measurement outcomes without requiring instantaneous influence. Statistical violation of Bell’s inequality thus reflects the geometry of internal field orientations rather than true nonlocality. This analysis reconciles experimental data with physical realism, demonstrating that local hidden variables—when properly defined within the coupled-fields structure—can reproduce the full quantum correlation pattern. Our conclusion is that Einstein (EPR) [1] was right. Internal phase is the hidden variable.
When statistical models are used in social sciences, there is no presumption that actual reality is stochastic. Even if actual reality is deterministic, hidden and unobservable variables require a use of effective (in ordinary language, approximate) models, with number of variables potentially unrestricted. From the quantum reconstruction point of view, quantum mechanics can be interpreted as a statistical information-processing framework - therefore, the aforementioned view in social sciences can naturally be transported to quantum physics - this especially so given prevalent uses of effective theories. This naturally gives us the common framework behind hidden variables interpretations unconstrained by particular laws of deterministic motion. The measurement problem is cleanly identified as arising from missing hidden variables. However, hidden variables interpretations do not imply that a final UV-complete theory of physics has to be usable - the theory may be uncomputable, with inability to generate predictions. In such a case, an infinite sequence of effective quantum theories would have to be used. Therefore, even if hidden variables interpretations are correct, supremacy of the orthodox quantum mechanics framework may be upheld, which is supported by a combination of quantum reconstruction and computational complexity arguments. This allows us to bypass considerable difficulties of hidden variables interpretations in satisfying Lorentz invariance. Connections to entropic gravity are then explored.