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Equation 1 · Part 3 · What a Biosignature Has to Rule Out

=

Φ=G(nobs)−G(neq).\Phi = G(\mathbf{n}_{\mathrm{obs}}) - G(\mathbf{n}_{\mathrm{eq}}).
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

If no gas can be trusted individually, the natural move is to look for a property of the whole atmosphere. The most general candidate is thermodynamic disequilibrium: life is a persistent chemical engine, so a biosphere should hold its planet’s atmosphere away from the composition it would relax to if all permitted reactions ran to completion. The quantity is the available Gibbs energy — the difference between the free energy of the observed composition and that of its equilibrium state at the same elemental abundances, temperature and pressure: Φ=G(nobs)−G(neq)\Phi = G(\mathbf{n}_{\mathrm{obs}}) - G(\mathbf{n}_{\mathrm{eq}}). Krissansen-Totton, Olson and Catling computed this across Earth history and reported values that make the appeal obvious and…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.