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I’ve been wondering about the “Is space continuous or discrete?”-debate recently.

My question is the following: as far as I know, Heisenberg’s uncertainty principle and quantum mechanics are the main reasons why we believe it is discrete. Are these the only theories which predict this?

The reason why I am asking is that there may be another way to conclude that space (or everything else) must be discrete. This is based on the following thought: continuous space implies the concept of “eternity” or "endlessness": a particle (or wave) – if moving from one position to another – passes through an endless number of positions. Now: if we succeeded in questioning eternity/endlessness fundamentally, would that also make space discrete?

Questioning eternity in general may appear difficult at first, but maybe it is not. After all, eternity is something which we have never observed it in practice and, even more importantly, never will (because: how should this be done?). Like in quantum physics, which includes the core thought that “if there is no conceivable experiment which proves it, why still assume reality” – can we also apply this thinking here and thereby reject eternity, making space non-continuous and discrete?

A quick feedback would be appreciated!

Thank you,

Nick

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# Is space continuous or discrete?

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