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 27, 2022
Get the pan-integralism mug.