Is the statement of Murphy's Law valid?

TL;DR

This paper examines Murphy's Law, constructs a formal mathematical statement, and disproves it by showing that energy differences tend to level off, challenging its analogy with physical laws like the Second Law of Thermodynamics.

Contribution

It provides a formal mathematical formulation of Murphy's Law and offers a proof that contradicts its validity based on physical principles.

Findings

Murphy's Law can be formally expressed mathematically.

The formal statement of Murphy's Law is disproven.

Energy differences tend to level off along steepest descent paths.

Abstract

Murphy's Law is $not$ a law in the formal sense yet popular science often compares it with the Second Law of Thermodynamics as both the statements point toward a more disorganized state with time. In this paper, we first construct a mathematically equivalent statement for Murphy's Law and then disprove it using the intuitive idea that energy differences will level off along the paths of steepest descent, or along trajectories of least action.