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Majorana Intrinsic Spin Correlations: Reproducing Bell‑Test Violations with Topological Qubits

Ellis Ammons

Published Jun 11, 2026• 0 citations
Publisher

Abstract

This paper develops a deterministic spinor‑phase model showing that Majorana‑type intrinsic spin excitations naturally reproduce the quantum correlations observed in Bell‑test experiments. By treating the Majorana electron–hole pair as a real, measurable spinor excitation — rather than a purely mathematical construct — the model demonstrates how classical field‑wave geometry gives rise to a quantum‑equivalent state space. Applying this framework to modern topological qubits, including Microsoft’s 2026 Majorana 2 device, reveals that their underlying spinor structure inherently supports Bell‑inequality violations even when such correlations have not yet been experimentally resolved. The result is a unified explanation of intrinsic spin, Majorana modes, and quantum hardware behavior within a fully local, realist, and deterministic theory. Email: ellis.ammons1@gmail.com

DOI
10.5281/zenodo.20635511

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This paper develops a deterministic spinor‑phase model showing that Majorana‑type intrinsic spin excitations naturally reproduce the quantum correlations observed in Bell‑test experiments. By treating the Majorana electron–hole pair as a real, measurable spinor excitation — rather than a purely mathematical construct — the model demonstrates how classical field‑wave geometry gives rise to a quantum‑equivalent state space. Applying this framework to modern topological qubits, including Microsoft’s 2026 Majorana 2 device, reveals that their underlying spinor structure inherently supports Bell‑inequality violations even when such correlations have not yet been experimentally resolved. The result is a unified explanation of intrinsic spin, Majorana modes, and quantum hardware behavior within a fully local, realist, and deterministic theory. Email: ellis.ammons1@gmail.com
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Bell’s theorem is a foundational result in quantum theory, demonstrating that no local hidden-variable model satisfying certain assumptions can reproduce quantum correlations. While mathematically correct within its formal framework, the theorem implicitly relies on a specific representational choice: measurement outcomes are modeled as scalar, commutative variables (±1). This assumption, though natural for flat and static configurations, is not mandated by physical necessity. In this work, we examine the consequences of relaxing this representational constraint when measurement outcomes arise as projections of states with nontrivial topology. We show that when physical correlations are naturally organized as elements of an S³-valued structure — such as those associated with spin and rotational degrees of freedom — the induced measurement algebra becomes noncommutative. Under these conditions, the key algebraic factorizations employed in Bell-type derivations no longer apply. We construct an explicit local, realistic model in which observable correlations reproduce the quantum expectation E(a, b) = − cos θ and violate the CHSH bound S ≤ 2, without invoking non-local interactions or superluminal influences. The effective S³×I structure arises not as a fundamental substrate, but as the natural geometric form taken by the actualization of physical processes within an underlying relational framework. Importantly, this structure was not introduced to address quantum entanglement specifically; it emerged independently in the study of cosmological expansion, emergent gravity, and mass generation. Its relevance to Bell-type correlations follows as a consequence of geometry, not as an ad hoc modification. These results suggest that quantum entanglement may reflect topological features of physical realization rather than intrinsic non-locality. Possible experimental implications and connections to geometric and substrate-based approaches to fundamental physics
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.
Intrinsic Spin Momentum (ISM Model) presents a classical hidden‑variable framework capable of reproducing CHSH violations without invoking nonlocality or quantum indeterminism. The model assigns each entangled pair an intrinsic spin‑momentum phase, or a set of phases, established at emission. Measurement outcomes depend on local detector settings and this shared phase structure, producing non‑factorizable correlations while preserving physical locality. The ISM Model serves as a minimal, geometry‑based abstraction of more detailed physical approaches. In particular, it complements the author’s earlier work Quantum Mechanics as Deterministic Electromagnetic Logic, where intrinsic spin and phase relationships arise from confined electromagnetic excitations. The ISM Model isolates the essential correlation‑producing mechanism—shared phase geometry—without committing to a specific physical ontology. This paper clarifies the distinction between physical locality and Bell‑locality, demonstrates how classical non‑factorizable models can exceed CHSH = 2, and provides a simple Monte‑Carlo simulation illustrating the resulting correlations. The ISM Model offers a unified, classical perspective on quantum‑like correlations and their geometric origin.
Quantum entanglement is traditionally described as a statistical correlation encoded in a many-body wavefunction. While this framework successfully predicts measurement outcomes, it leaves unresolved whether entanglement reflects purely probabilistic structure or an intrinsic physical organization of quantum states. Recent experiments have demonstrated that high-dimensional entangled states possess thousands of distinct, experimentally accessible topological invariants that persist under basis changes, noise, and local perturbations. These features are difficult to reconcile with a purely statistical interpretation of the wavefunction, but arise naturally if entanglement corresponds to intrinsic geometric structure within state space. This work analyzes experimental results reported in Nature Communications (2025) showing robust, high-dimensional topological structure embedded in conventional entangled states. We show that the multiplicity, stability, and basis-independence of these invariants support an interpretation of entanglement as intrinsic geometry rather than as observer-dependent probability. Under this interpretation, nonlocal correlations reflect shared geometric structure rather than information transfer, and robustness arises from topological protection rather than statistical averaging. The paper does not modify the formal machinery of quantum mechanics, but reframes the physical meaning of the quantum state. Entanglement is interpreted as a geometric configuration of collective modes whose topology constrains allowed correlations. This perspective provides a natural physical explanation for robustness, nonlocality, and measurement independence, and places strong constraints on interpretations in which the wavefunction is purely epistemic. Together with independent results in condensed matter and gravitational physics, these findings support a geometry-first interpretation of quantum phenomena and contribute to a growing body of experimental evidence that quantum states possess intrinsic physical structure beyond probabilistic description.