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If you are contemplating a granular universe with a minimum quanta of distance or volume, then it may make sense to assume that there exists something of that precise size.  Otherwise one is wasting energy surely overengineering it.

So maybe one should be thinking that a neutrino is precisely that minimum physical size.

Not sure how everything would fit together.  Clearly you cannot have spaces inbetween things smaller than a neutrino, and so a clump of neutrinos would have to be really perfectly fitting together with no gaps, whatever that would mean.  Bang goes euclidean geometry with rather few ways of filling space with regular bodies.  Neutrinos are not cubes!

Probably time to set up a new set of axioms for a new geometry, neutridean geometry

- the Universe is the set of all quanta
- quanta a and b are contiguous if the set of a and b is the only straight line between them
- a set of quanta are contiguous if there are subsets for every pair of quanta, which are lines between them
- a line between two quanta a and b is a set of quanta that is contiguous and includes a and b, and from which no quanta can be removed without breaking the contiguity
- a straight line between a and b is a line with the minimum integer number of quanta
- there may be more than one straight line between a and b
- there is at least one straight line between a and b in the universe
- there are lines between any two quanta a and b in the universe

You can prove at least a few things, which I leave as exercises:

* If c is a quanta on a straight line between a and b, then there is a straight line between a and c and one between c and b, and the union of these two lines is a straight line between a and b.
* the Universe need not be finite or countable
* if a and b, and b and c, are contiguous, there is a line between a and c, but if need not be a straight line.
* if a,b and c are a straight line between a and c, then a and c are not contiguous

martin