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May 3, 20260 citationsOpen Access

A 5D Scalar-Vector-Spinor Effective Field Theory in Cl(2,3): Real-Imaginary Time Co-ordering Energy-Information

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YYYing Ye

Key Points

  • To explore the relationship between information, geometry, and matter fields through a five-dimensional effective field theory.
  • Developed a five-dimensional scalar-vector-spinor effective field theory (5D SVS-EFT) based on real Clifford algebra.
  • Introduced compact topological-order coordinates equivalent to Euclidean time at the level of thermal field theory.
  • Examined nontrivial winding encoded by Clifford rotors in bivector planes to derive chiral projections.
  • Introduced a heuristic relation for action-normalized topological information variables with En=αnkBT.
  • Showed that the framework offers directions for investigating chirality selection and compact-order excitations.
  • Provided a dimensional consistency check indicating meaningful connections in cosmological effective stress-energy.

Abstract

The possibility that information, geometry, and matter fields are different projections of a deeper state space has motivated many approaches to quantum gravity, extra-dimensional field theory, and information thermodynamics. This paper develops a five-dimensional scalar-vector-spinor effective field theory (5D SVS-EFT) formulated in the real Clifford algebra . The fifth coordinate is not introduced as an ordinary macroscopic spatial direction. Instead, it is interpreted as a compact topological-order coordinate equivalent, at the level of thermal field theory, to Euclidean or imaginary time. The organizing postulate is “one Clifford algebra, one state”: a local physical configuration is represented by one multivector field whose scalar, vector, bivector, spinorial, and higher-grade projections are coupled by the five-dimensional geometric derivative. Relaxing the usual Kaluza-Klein cylinder condition permits nontrivial winding along the compact order coordinate. Such winding can be encoded by Clifford rotors in spatial-order and temporal-order bivector planes. Spatial-order rotors provide a geometric route by which four-dimensional chiral projections may arise from a single five-dimensional state. Temporal-order rotors define an information-energy sector controlled by Matsubara compactness and thermodynamic information bounds. A dimensional consistency check shows that the heuristic relation is meaningful only if denotes an action-normalized topological information variable; equivalently the observable form is En=αnkBT, with n an integer winding number and α a model-dependent dimensionless coefficient. The framework is presented as an effective theory and as a mathematical research program rather than as an established replacement for the Standard Model or general relativity. It yields testable directions involving chirality selection, compact-order excitations, and cosmological effective stress-energy.

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Cite This Study

Ying Ye (2026) studied this question.

synapsesocial.com/papers/69f6e6648071d4f1bdfc7121https://doi.org/10.5281/zenodo.19949736
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