PREreview of A Hypothesis on Quantum Entanglement and Higher-Dimensional Identity

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.