A Hypothesis on Quantum Entanglement and Higher-Dimensional Identity

  1. Ichiro Tsukamoto

Reviewed by

Read the full article See related articles

Discuss this preprint

Start a discussion What are Sciety discussions?

Listed in

Log in to save this article

Abstract

This letter proposes a speculative interpretation of quantum entanglement by integrating concepts from string theory, higher-dimensional compactification, and nonlocal correlations. It aims to provide an intuitive, higher-dimensional explanation for the apparent superluminal correlation observed in entangled particles such as electrons.

Article activity feed

  1. PREreview

    This Zenodo record is a permanently preserved version of a PREreview. You can view the complete PREreview at https://prereview.org/reviews/15353759.

    This manuscript introduces a compelling and geometrically elegant interpretation of quantum entanglement. By proposing that entangled particles are projections of a unified quantum entity embedded in compactified higher-dimensional space, the author contributes a clear and structured model that invites deeper examination and integration within contemporary theoretical physics.

    Strengths:

    • The paper presents a rigorous and clean mathematical formulation, notably the extended wavefunction Ψ(X)=ψ4(x1,x2)⊗δ(y1−y2)\Psi(X) = \psi_4(x_1, x_2) \otimes \delta(y_1 - y_2)Ψ(X)=ψ4(x1,x2)⊗δ(y1−y2), which effectively encapsulates the central idea of dimensional identity.

    • The framework connects directly with key themes in modern physics, including compactified dimensions, string theory constructs, and nonlocal quantum behavior, offering a well-motivated alternative to conventional interpretations.

    • The use of an effective Lagrangian over compactified coordinates demonstrates a high level of coherence and consistency with formal physics approaches.

    • The clarity of exposition and the logical progression of the hypothesis are well suited for engagement by both quantum theorists and those working on geometric models of spacetime.

    Original Contributions:

    • The interpretation of entanglement as a manifestation of geometric identity in higher-dimensional configuration space marks a meaningful advance in conceptual understanding.

    • The introduction of delta-constrained compact geometry as a tool to encode unity of the entangled system is both innovative and mathematically appropriate.

    • The discussion successfully situates the model within a broader context of quantum geometry, enhancing its accessibility for future theoretical applications.

    Suggestions for Continued Development:

    • Further exploration of how the delta-function identity could be derived from established compactification mechanisms would enrich the physical grounding of the model.

    • Development of quantitative examples—such as predictions for entanglement behavior under curvature or external fields—would support broader application in simulations or future experimental designs.

    • A visual or computational model illustrating how projection from higher-dimensional space manifests as entanglement in four dimensions could enhance understanding and pedagogical value.

    • Additional connections with existing approaches in geometric quantum mechanics, holography, or brane dynamics may expand the reach of the formalism and encourage interdisciplinary dialogue.

    Conclusion:

    This work is thoughtfully constructed, conceptually clear, and mathematically well-articulated. It opens new directions for interpreting quantum nonlocality in terms of dimensional structure and provides a strong foundation for continued investigation. The author has demonstrated vision and precision in developing this framework, and the manuscript deserves attention and discussion within the broader physics community.

    Recommendation: Strongly encouraged for further theoretical elaboration and constructive engagement with related geometric and quantum frameworks. The work represents a valuable step toward bridging structural and informational approaches in quantum theory.

    Competing interests

    The author declares that they have no competing interests.

  2. PREreview

    This Zenodo record is a permanently preserved version of a PREreview. You can view the complete PREreview at https://prereview.org/reviews/15354164.

    This work presents an original and intellectually engaging hypothesis that interprets quantum entanglement as the projection of a single quantum object embedded in a higher-dimensional compactified space. The mathematical structure is coherent, particularly the use of the delta function δ(y1−y2)\delta(y_1 - y_2)δ(y1−y2) to express higher-dimensional identity, and the formulation of the effective Lagrangian is well-aligned with methods found in string theory and noncommutative geometry.

    Physically, the idea reframes nonlocal correlations not as violations of causality but as consequences of hidden geometric unity. This interpretation is consistent with the ER=EPR conjecture and brings a refreshing geometric perspective to entanglement that avoids speculative signaling mechanisms. The model aligns well with current speculative approaches in high-energy physics and offers a unified way to view entanglement and spacetime structure.

    Suggestions for Improvement:

    1. Add a more detailed diagram that visually explains how a single entity in higher dimensions projects into two entangled particles in 4D spacetime.

    2. Specify under what physical conditions (e.g., high curvature, near black holes, or in analog simulations) deviations from standard entanglement behavior might appear.

    3. Clarify whether the delta function identity implies strict unification or allows for small fluctuations, and how that might translate into testable effects.

    4. Draw a clearer comparison between this approach and other geometric or holographic models like D-branes or AdS/CFT.

    5. Suggest a realistic physical platform (such as trapped ions, optical systems, or quantum simulators) where this idea might be tested or modeled indirectly.

    This hypothesis, while speculative, is grounded in meaningful mathematics and modern theoretical frameworks. With refinement and further development, it holds potential for deeper exploration of the link between geometry and quantum coherence.

    Competing interests

    The author declares that they have no competing interests.

  3. Version published to 10.20944/preprints202504.1713.v1