Is it possible for two separate particles to hold the same position at the same time, or is it that the definition of ‘separate’ presupposes either a difference in position or time? Could someone point me to an article related to this subject.
The Pauli exclusion principle might help?
Yes it’s possible. See above. I do always wonder when some smart a## will use this to try to invalidate praxeology.
Particles according to quantum wavefunction dynamics (the Schrodinger equation and Dirac equation), have only several properties (angular momentum, charge, velocity, spin, position space, and mass… and combinations of what was previously mentioned in the form of Hamiltonian and Langragian formulations). Of those properties, spin is an abstract property (analogous to a sphere spinning on its own axis… but not quite… it’s an abstract propety because it’s spin is “quantum” in description… heavily restricted) of particles that can be easily measured in a lab (NMR technology). It’s been verified via experimental procedure that matter particles (electrons, protons, nuetrons) are particles that are described by spin of 1/2 integers (ie fermions), and particles of force as bosons which have whole integer spin (what’s important is that fermions have 1/2 spin and bosons have whole integer spin).
Basically, fermions are matter particles that can not occupy the same space-time. This make sense because we never see matter particles ever existing in the same space time.
Bosons, on the other hand, can.
Because fermions and bosons have varying properties in their abillity to exist in space time, they have different statistical and quantum formulations.