Vortex Dynamics: Mathematical Derivation of Galactic Rotation Curves

Sakhile Nyembe

doi:10.5281/zenodo.20820245

June 23, 2026Open Access

Vortex Dynamics: Mathematical Derivation of Galactic Rotation Curves

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Key Points

This work aims to derive vacuum constants essential for explaining galactic rotation curves without dark matter.
Derived three vacuum constants D∗, V∗, F∗ from principles of continuity and angular momentum conservation.
Utilized Gabriel’s Horn geometry to characterize spacetime dynamics.
Derivation yields flat rotation curves represented as v(r) →√V∗D∗, eliminating the need for dark matter.

Implication

Mathematical derivation reveals new vacuum constants affecting galactic rotation, indicating alternatives to dark matter.

Abstract

I derive three vacuum constants D∗, V∗, F∗ from continuity and angular momentumconservation. Eq 8 yields Gabriel’s Horn geometry for spacetime, producing flatrotation curves v(r) →√V∗D∗ without dark matter.

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Cite This Study

Sakhile Nyembe (2026) studied this question.

synapsesocial.com/papers/6a3e176b030ad1a9b3090daf https://doi.org/10.5281/zenodo.20820245

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Vortex Dynamics: Mathematical Derivation of Galactic Rotation Curves

Key Points

Implication

Abstract

Discussion

Cite This Study

Vortex Dynamics: Mathematical Derivation of Galactic Rotation Curves

Key Points

Implication

Abstract

Discussion

Cite This Study

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