Constants of nature, scientific revolutions, and simplicity

Abstract

Since Isaac Newton, many physicists have conveyed the idea of the true laws of nature being governed by “simplicity,” a notion that has rarely been properly defined. When analyzing the history of fundamental physics until 1930, the number of constants of nature appears to be a useful measure for the complexity of theories, as opposed to the notion of simplicity. It can be observed that paradigm-shifting progress is often related to explanations of physical constants, thereby reducing their total number. Thus, it is argued that scientific revolutions are usually characterized by a pattern consisting of (1) a conceptual idea, (2) a mathematical formalism, and (3) a reduction of the number of independent constants of nature. This leads to a better understanding of the long-term impact of physical theories and may help to evaluate the current state of fundamental physics.