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This research seeks to establish a deeper connection between algebra and topology by rectifying the Fundamental Theorem of Algebra.

May 7, 2026Open Access

Beyond the G¨ottingen Catastrophe: Rectifying the Fundamental Theorem of Algebra through the MDC-X Topological Invariant ∆ = 4 ln 99

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Theorems reveal algebraic closure necessity in complex roots, suggesting topology alters classical mathematics.

This research seeks to establish a deeper connection between algebra and topology by rectifying the Fundamental Theorem of Algebra.
Derived the complex plane from first principles using the Mahapatra-Dalvi-Collatz X Theorem.
Utilized the Collatz parity-block map for ergodic dissipation analysis.
Developed rigorous Python code to compute topological invariant ∆ and its relationships.
Confirmed that the existence of roots aligns with the integer base derived from topological principles.
Demonstrated that the constant π can be derived from the established topological invariant.

Dillip Kumar Mahapatra (2026) studied this question.

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May 7, 2026Open Access

View Full Paper

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Authors

Theorems reveal algebraic closure necessity in complex roots, suggesting topology alters classical mathematics.

This research seeks to establish a deeper connection between algebra and topology by rectifying the Fundamental Theorem of Algebra.
Derived the complex plane from first principles using the Mahapatra-Dalvi-Collatz X Theorem.
Utilized the Collatz parity-block map for ergodic dissipation analysis.
Developed rigorous Python code to compute topological invariant ∆ and its relationships.
Confirmed that the existence of roots aligns with the integer base derived from topological principles.
Demonstrated that the constant π can be derived from the established topological invariant.

Dillip Kumar Mahapatra (2026) studied this question.

View Full Paper

Ask AI

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