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The aim is to propose a geometric framework connecting spacetime and standard model characteristics.

April 10, 2026Open Access

Emergent Spacetime Geometry and Standard Model Structure from a Complex Null Orientation Field

Key Points

The aim is to propose a geometric framework connecting spacetime and standard model characteristics.
Developed a framework based on a complex null multiplet N(x) ∈ C^5.
Identified physical configurations projectively using internal orientation space CP^4.
Applied a decomposition process from CP^4 to CP^2 and CP^1.
Established a relationship between the emergent geometry and gauge symmetries like SU(3) × SU(2) × U(1).
Fixed hypercharge through constraints on the relative phase generator.

Abstract

We propose a geometric framework in which spacetime structure, gauge symmetry, fermion chirality, and electroweak symmetry breaking emerge from correlations of a fundamental complex null multiplet N (x) ∈ C⁵. Physical configurations are identified projectively, leading to an internal orientation space CP⁴. A minimal decomposition CP⁴ → CP² ⊕ CP¹ naturally motivates the symmetry structure SU (3) × SU (2) × U (1), with hypercharge fixed by a trace constraint on the relative phase generator.

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sanjeev kumar meena (Wed,) studied this question.

www.synapsesocial.com/papers/69d895ea6c1944d70ce071fb — DOI: https://doi.org/10.5281/zenodo.19471112

Emergent Spacetime Geometry and Standard Model Structure from a Complex Null Orientation Field

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