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pan-integralism

The paradigm that an Abelian integral to solve the quintic equation would arbitrarily solve equations of every higher power.
Galois found that quintic equations were only solvable by a discrete set of Noether symmetries which all involved the conservation-of-energy but varied from quintic equation to equation.

Abel found that there was no algebraic solution to quintic polynomials and polynomials of a higher order.

Pan-integralism argues that if an Abelian integral can be found to solve quintic equations; it can solve all higher-order equations as well.

This integral would be a pentagon-shaped non-Tarski space with its vertices on the surface-interior of a circle...
by metastatic February 26, 2022
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quintic integral

A non-Tarski space (convex vertices within the surface-interior of a sphere) that is propounded to solve all quintic and higher-level polynomials.

Arises from Abelian conjecture...which states that no algebraic solutions to polynomials at the 5th order and higher are possible.
The quintic integral fulfills the conditions of pan-integralism which state that the solution to a fifth-order equation can only come in the form of an Abelian surface-area specifically a non-Tarski space in the shape of a Pentagon...
by metastatic February 26, 2022
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