All right, same small room, exact same time. Theoretically, how precise is topocentric longitude?
You brought up the valid philosophical question that two things born at the same instant would have to be totally alike (if the premise of astrology is correct) and that we run into the contradiction that we are talking about two
different things, but this objection is invalidated by the fact of corporeality, and that it is the
matter (which occupies
space) that receives the influences of the stars,
not the time.
It's theoretically possible.
As a consequence, it is actually
theoretically impossible to be have one exact chart for two different things.
Practically, there would be always be a few seconds difference, and that is enough to change the Ascendant.
https://books.google.bg/books?id=Re...4sKHbLNBtsQ6AEwCHoECAgQAQ#v=onepage&q&f=false - note that Augustine's counterargument is less effective now that you have technology and very precise clocks available. It also was negligible at the time since there were astrological ways to find the minutes of the Ascendant.
How many angels can dance on the head of a pin? Can topocentric longitude help answer that Medieval question?
If the angels are material, then it depends on their size, if they are immaterial, it will have to be an infinite amount.