The Potential Field Theory: A proposed framework to find a solution for the Millenium Problem about the Navier-Stokes equations for a incompressible fluid

Q: What does this research mean for the field?

A proposed Potential Field Theory framework, incorporating a Beltrami reduction, offers a potential mathematical approach to solving the Millennium Problem regarding the Navier-Stokes equations for incompressible fluids. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Herman Jahzeel Martinez Suazo

doi:10.5281/zenodo.22255331

September 2, 2026Open Access

The Potential Field Theory: A proposed framework to find a solution for the Millenium Problem about the Navier-Stokes equations for a incompressible fluid

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Key Points

To deduce a potential field framework aimed at formulating an analytical solution for the Millennium Prize problem concerning incompressible Navier-Stokes equations.
Theoretical mathematical deduction deriving a potential field representation for fluid flow equations.
Analytical evaluation of a Beltrami reduction as a dedicated special case within the proposed formulation.
Provides a complete theoretical derivation establishing the proposed potential field framework.
Demonstrates the mathematical reduction of the incompressible Navier-Stokes system under specialized Beltrami flow conditions.

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Implication

Theoretical analysis demonstrates a potential field framework using Beltrami reduction for incompressible fluids, suggesting a pathway toward solving the Navier-Stokes Millennium Problem.

Abstract

A complete deduction of my Potential field, with a special case of a Beltrami reduction.

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Herman Jahzeel Martinez Suazo (2026) studied this question.

synapsesocial.com/papers/6a9a861f5d9e33f25c631b4d https://doi.org/10.5281/zenodo.22255331

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The Potential Field Theory: A proposed framework to find a solution for the Millenium Problem about the Navier-Stokes equations for a incompressible fluid

Key Points

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Implication

Abstract

Discussion

Cite This Study

The Potential Field Theory: A proposed framework to find a solution for the Millenium Problem about the Navier-Stokes equations for a incompressible fluid

Key Points

No abstract yet

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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