Spin-Statistics as Topological Holonomy via Jordan-Wigner Non-Locality — E8 Intelligence Research

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The spin-statistics connection is formalized via Jordan-Wigner non-locality and bundle gerbe holonomy, demonstrating that particle exchange is linked to topological winding rather than local geometry. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22732899

September 13, 2026Open Access

Spin-Statistics as Topological Holonomy via Jordan-Wigner Non-Locality — E8 Intelligence Research

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Key Points

To formalize the fermionic spin-statistics connection with Z₂ holonomy using non-local algebraic mappings and higher-order topological geometry.
Formulated particle exchange transformations using Jordan-Wigner non-local string operators.
Mapped many-body particle trajectories to topological winding invariants using bundle gerbe holonomy.
Demonstrates that the sign inversion during fermionic particle exchange maps directly to Z₂ bundle gerbe holonomy.
Establishes that the spin-statistics relation is governed by global topological winding rather than local geometric curvature.

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Implication

Theoretical analysis reveals the spin-statistics connection through bundle gerbe holonomy, indicating particle exchange emerges from topological winding rather than local geometry.

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6aa7b42d0926e14a848b3cea https://doi.org/10.5281/zenodo.22732899

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Spin-Statistics as Topological Holonomy via Jordan-Wigner Non-Locality — E8 Intelligence Research

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Spin-Statistics as Topological Holonomy via Jordan-Wigner Non-Locality — E8 Intelligence Research

Key Points

No abstract yet

Implication

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Cite This Study

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