Since my last post it has occurred to me that Henri Poincaré's complex space-time is a 5 dimensional reality.

Well ok, its patently obvious, and i even said as much, but what I have just realised is that Poincaré's 5D reality agrees with my assertion that space is 5 dimensional because the maximal volume of a unit n-sphere is that of the 5D hyper-sphere - adding more dimensions actually reduces the unit volume. Therefore space must naturally be 5D - because if pure energy is to explode in a "big bang" it will naturally want to fill 5 dimensions of space, not just 3. So where are the other 2 dimensions? Did Poincaré also realise that space must be 5D for the same reason?

According to string theory (in fact ST requires 11D) extra spacial dimensions are "curled up" at the plank length, but Poincaré may have discovered that not only could time replace spacial dimensions but it would need to be complex to make a 5D reality. Thus 3D+2D=5D.

Poincarre space-time is truly a great insight and its a shame that he has been overlooked as the original creator of space-time. If Poincaré was right and Minkowsky wrong then perhaps its little wonder that relativity fails at quantum scales. Perhaps all that is needed is to consider quantum space in terms of 5d Poincaré space-time as the great man originally proposed.

Has anyone encountered or done some investigation into this ? For example, does complex time help explain why the (eg) hydrogen electron can be found in some places but not others (see

http://www.chemistry.mcmaster.ca/esam/C ... ion_2.html) ?

its also occurred to me that wherever time is squared the result is real. So accelerating in complex time (eg gravity) is always real but speed is not. Perhaps this explains why Einstein needed different approaches to special and general relativity, and why the latter fails at the quantum level. Poincaré was not a fool, whereas Minkowski is only famous for being one of Einstein's professors and his plagerisation/adulteration of Poincaré space-time. Einstein acknowledged his mate by referring to Poincaré Space-Time in 4D as Minkowski space-time.

This single act of cronyism by Einstein has distracted attention away from the original complex time, such that complex time is regarded by those ignorant of the history as "crackpottery". Yet Einsteins preference for 4d space-time instead of 5D complex space-time may well be the reason why general relativity fails in quantum space.