Generation Structure of Null Directions, Direction Bundles, and Light Cones in Minkowski Spacetime

Shin Tamaki

doi:10.5281/zenodo.21920614

August 13, 2026Open Access

Generation Structure of Null Directions, Direction Bundles, and Light Cones in Minkowski Spacetime

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Key Points

To describe the geometric structure of null directions and light cones in Minkowski spacetime and analyze how curvature arises in general relativity.
Analyzed null directions using projectivized tangent structures in Minkowski spacetime.
Modeled light-cone geometry as a cone over a two-dimensional sphere, Cone(S2).
Null directions in Minkowski spacetime were shown to yield a two-dimensional sphere (S2), with the light cone emerging as Cone(S2).
Spacetime curvature in general relativity was demonstrated to originate from the non-commutative generation of null directions, which alters local light-cone geometry.

Implication

Theoretical analysis reveals how null directions construct light cones, indicating that non-commutative generation shapes spacetime curvature.

Abstract

We describe null directions in Minkowski spacetime via the projectivized tangent structure, yielding a two‑dimensional sphere S2. The light cone emerges as Cone(S2). Curvature in general relativity arises from non‑commutative generation of null directions, deforming local light‑cone geometry.

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Cite This Study

Shin Tamaki (2026) studied this question.

synapsesocial.com/papers/6a801a1a75c2e31742c8691f https://doi.org/10.5281/zenodo.21920614

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Generation Structure of Null Directions, Direction Bundles, and Light Cones in Minkowski Spacetime

Key Points

Implication

Abstract

Discussion

Cite This Study

Generation Structure of Null Directions, Direction Bundles, and Light Cones in Minkowski Spacetime

Key Points

Implication

Abstract

Discussion

Cite This Study

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