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Let us imagine that in 3030BC the total possessions of the people of Egypt filled one cubic metre. Let us propose that these possessions grew by 4.5% a year. How big would that stash have been by the Battle of Actium in 30BC? This is the calculation performed by the investment banker Jeremy Grantham.

Go on, take a guess. Ten times the size of the pyramids? All the sand in the Sahara? The Atlantic ocean? The volume of the planet? A little more? It’s 2.5 billion billion solar systems. It does not take you long, pondering this outcome, to reach the paradoxical position that salvation lies in collapse.

To succeed is to destroy ourselves. To fail is to destroy ourselves. That is the bind we have created. Ignore if you must climate change, biodiversity collapse, the depletion of water, soil, minerals, oil; even if all these issues miraculously vanished, the mathematics of compound growth make continuity impossible.

Economic growth is an artefact of the use of fossil fuels. Before large amounts of coal were extracted, every upswing in industrial production would be met with a downswing in agricultural production, as the charcoal or horse power required by industry reduced the land available for growing food. Every prior industrial revolution collapsed, as growth could not be sustained. But coal broke this cycle and enabled – for a few hundred years – the phenomenon we now call sustained growth.

It was neither capitalism nor communism that made possible the progress and pathologies (total war, the unprecedented concentration of global wealth, planetary destruction) of the modern age. It was coal, followed by oil and gas. The meta-trend, the mother narrative, is carbon-fuelled expansion. Our ideologies are mere subplots. Now, with the accessible reserves exhausted, we must ransack the hidden corners of the planet to sustain our impossible proposition.