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Q: How would the universe be different if π = 3?
Unlike other constants, if π were different, then scientists (mathematicians especially) would continually have the sneaking suspicion that there’s something deeply, deeply wrong with the universe. In a very hand-wavy way, if π were bigger, then the universe would be more certain. π shows up in way too many places to make a meaningful statement about the impact on the universe, one way or another. Mathematician: The idea of giving π a new value of could be interpreted in a few different ways. For some sets of axioms, there won’t even exist a mathematical entity that you reasonably could identify as being π.
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