Do Chemical, Atomic, and Nuclear Reactions Occur in Three Spatial Dimensions?

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Char. Limit
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How does one know that chemical, atomic, and nuclear reactions occur in three spatial dimensions?

Why not four, or two, or negative pi, or sixty-seven dimensions?

And yes, I know the last two are implausible.
 
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Just wanted to bring this up again...

I still don't get why chemistry uses the standard three dimensions while quantum physics uses 31 for example.
 
Thanks, although I can't be the first weirdo to have thought of this... can I?