Euler’s formula as a model for the universe

Theodore Greenbaum
11 min readMar 7, 2024

Euler’s formula relates imaginary numbers, the natural logarithm, trigonometry, and the ratio of a circle’s diameter and circumference, all in a single equation. I would like to propose that this equation can also describe the potential and kinetic energy of an ideal oscillating system, and, in doing so, provide a useful model for the hypothetical expansion and contraction of the universe.

The equation is written as follows:

If math isn’t your thing, I’ll explain the symbols real quick…

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