Free Lunch

TL;DR

This paper argues that variational principles are unnecessary and Noether's theorem is trivial, emphasizing that natural phenomena rely solely on canonical mathematical structures without external guidance.

Contribution

It demonstrates the redundancy of variational principles and triviality of Noether's theorem within the framework of canonical mathematical structures in nature.

Findings

Variational principles are superfluous in describing nature.

Noether's theorem becomes trivial under the canonical structures.

Nature's reliance on intrinsic mathematical structures is emphasized.

Abstract

The Free Lunch Principle: Nature thrives on freebies. She chooses nothing, and no one helps Her. She must use canonical mathematical structures as there is no one to tell Her otherwise. With this I show where variational principles are superfluous and Noether's theorem is trivial.