This keeps going in circles.
The alternator makes power from the field coil electromagnetic field. Voltage on white means pretty much nothing, the coil has to pass current... is the other field coil wire grounded? Are you sure your R/R works (like the OEM regulator) by controlling the positive? Some (ie DOHC4 type) control the negative and want the other field wire at +12V.
If unable to measure field coil current, you should be able to tell the coil is working by holding a steel tool near the alternator cover, it will be attracted by the magnetic field when the coil is working.
If that coil is making magnetic field, a spinning rotor will induce voltage on the stator yellow wires. Disconnected, I think over 25V should be expected yellow-yellow (all three combinations )but I've never measured it.
So measure the field current or test for the magnetism with a screwdriver or something.
The alternator must be fully assembled - field and stator coils on the cover, mounted over the rotor - to make power. If you have a good field, the rotor is turning, and all the wires are connected... it doesn't have many ways NOT to work.