From Osher Doctorow
In n-dimensional Euclidean or complex space (n integer > = 1), a set is
compact iff it is closed and bounded, which by the way makes
compactness a very nice way to define not only a particle and little
string but a macroscopic body (of finite extent) and arguably
"intermediate" objects like molecules.
This gives rise to the idea that the field or wave in wave-particle
duality or particle-field duality is an "anti-compact" set. It is
arguably not closed and bounded. We could almost define it as not
closed (arguably open) and unbounded, although we need to specify that
it is "attached" to the closed bounded particle or body or little
string or brane.
In any case, either "anti-compact" sets (and their compact attached
objects) or wave-particle and particle-field duality are excellent
candidates for subtype 16 of Invariance-Intersection Theory.
It would be interesting to ask whether any life forms in intergalactic
space might be more wave-field than wave-particle or particle-field
since usual matter might have a rough time in such scenarios.
Entanglement and interference and solitons can perhaps give us some
clues in this direction.
Osher Doctorow
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