Comment by rimunroe
2 years ago
So first off: charge is quantized. Glossing over some weird particles (like quarks) which can't exist by themselves an integer multiple of e as their charge.
It's been a while since I finished undergrad so my knowledge is rusty, but I don't recall any isolatable particles whose charge wasn't -1e, 0, or 1e. If that's the case, the easiest explanation for why they have the same charge is that if they didn't have opposite charges there wouldn't be anything holding them together in an atom.
clearly related to measure (in the abstract sense) and harmonics of natural numbers. what has fascinated me for years has been the sense that we need to rebuild number up using complex numbers and harmonic measures. what we get are still numbers but no longer this monotonic sequence which is a ‘lazy’ or ‘simple minded’ way of ordering N. when ordered by harmonic measures of primes, N itself has structure (beyond a simple incrementing list) but the order is strictly limited to measures provided (rational) with the prime roots of the measure. (an example is the ‘primorial’ harmonic measure of {2, 3, 5} - think rings).
in these harmonic measures, ‘gaps’ between various levels naturally would arise from simple (x) op. For non-relative prime members, the mapping n x n is all over the place but for relative prime members, n x n always results in another relative prime in the ring, so, naturally those ‘lines’ are ‘stable’ and ‘in phase’ so ‘manifested’.
in other words, there is stuff in the R realm — in between ‘quanta’ — but we’re not allowed, capable, ever, of seeing or measureing it.[edit: as in they ‘exist’ in the same realm that (sqrt -1) i exists in — an unseen realm we call ‘imaginary’..]
Oops, missed the edit window. That was supposed to be "Glossing over some weird particles (like quarks) which can't exist by themselves, all particles have a charge which is an integer multiple of e"