Sophistic musing: if civilizations could expand at exponential rates, rather than sigmoidally (locally) or linearly (long-term), we would have been in touch with aliens by now
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If you assume energy consumption at current human levels, and a growth rate of ~3% per year (current), it would take ~2,500 years for us to consume all of the stars in the galaxy
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So a single civilization going exponential anywhere in the galaxy at least 2,500 years ago would have consumed our sun by now
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Even taking into account the speed of light as a hard limit on expansion, it would still only take on the order of 100k years -- less than the age of humanity
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Maybe they did, and we're living in the aftermath.
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Deep. At current human energy levels being the key phrase, 'cos it could be much less.
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But if efficiency improves exponentially too?
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