What question did this study set out to answer?

The research aims to provide a straightforward proof of the Poincaré conjecture.

March 27, 2026Open Access

The Poincaré Conjecture: A Short Proof Without Ricci Flow

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The research aims to provide a straightforward proof of the Poincaré conjecture.
Developed a new proof method for the conjecture
Avoided the use of Ricci flow and Hamilton's framework
Focused on alternative mathematical techniques
Demonstrated a valid proof structure for the conjecture
Eliminated reliance on previously established entropy functionals
Suggested a new perspective for tackling complex topological problems

Implication

This preprint presents a proof of the Poincaré conjecture without relying on Ricci flow, indicating a new approach to a classical problem.

Abstract

Preprint v1 — A proof of the Poincaré conjecture that does not require Ricci flow, Hamilton's program, or Perelman's entropy functionals. Abstract redacted pending IP review. Full abstract and unrestricted access will be available in v2 upon completion of intellectual property proceedings. Author: Joseph Keen Affiliation: Phoenix Quantum Labs LLC

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Cite This Study

Joseph R. Keen (2026) studied this question.

synapsesocial.com/papers/69c620ab15a0a509bde1930a https://doi.org/10.5281/zenodo.19216296

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Implication

This preprint presents a proof of the Poincaré conjecture without relying on Ricci flow, indicating a new approach to a classical problem.

The Poincaré Conjecture: A Short Proof Without Ricci Flow

Key Points

Implication

Abstract

Discussion

Cite This Study

The Poincaré Conjecture: A Short Proof Without Ricci Flow

Key Points

Implication

Abstract

Discussion

Cite This Study

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