Our entire cosmic history is theoretically well-understood, but only because we understand the theory of gravitation that underlies it, and because we know the Universe’s present expansion rate and energy composition. Light will always continue to propagate through this expanding Universe, and we will continue to receive that light arbitrarily far into the future, but it will be limited in time as far as what reaches us. A single equation, the Friedmann equations, can tell us what our past and future history was so long as there are no abrupt, discontinuous changes in what types of energy are present in our Universe. (Credit: Nicole Rager Fuller/National Science Foundation)

This is the most important equation in cosmology

Ethan Siegel
Starts With A Bang!
11 min readJun 16, 2022

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If you want to understand the Universe, cosmologically, you just can’t do it without the Friedmann equation. With it, the cosmos is yours.

Cosmology is the study of the Universe: from the smallest scales to the largest. If we want to understand this Universe we inhabit, we have no choice but to consider everything all together, from the subatomic particles that compose our reality to the largest-scale structures that they form. This requires understanding not only the various quanta that bind together and make up all that we can observe and interact with, but the proverbial stage upon which they move. The Universe doesn’t simply exist, but rather evolves with both space and time as our cosmic story unfolds.

It was barely a century ago — back in 1915 — that Einstein first unveiled the General theory of Relativity, which detailed how space-and-time affected the matter and energy within it, and how, conversely, the matter and energy within it determined the shape and evolution of spacetime. Remarkably, it would be just seven years later, a full 100 years ago at the time this article is being written, that the single most important equation in cosmology was first derived: the first Friedmann equation.

To a non-expert, it might seem like a travesty that the Friedmann equation, and not Hubble’s law, would be…

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Ethan Siegel
Starts With A Bang!

The Universe is: Expanding, cooling, and dark. It starts with a bang! #Cosmology Science writer, astrophysicist, science communicator & NASA columnist.