**Matti Pitkanen** (*matpitka@pcu.helsinki.fi*)

*Fri, 27 Aug 1999 12:41:02 +0300 (EET DST)*

**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**Matti Pitkanen: "[time 628] I try to find files about Kahler actions and variational principles"**Previous message:**Stephen P. King: "[time 626] Re: [time 624] Re: [time 621] Winding Space. Space-time sheets"**In reply to:**Matti Pitkanen: "[time 624] Re: [time 621] Winding Space. Space-time sheets"

On Fri, 27 Aug 1999, Stephen P. King wrote:

*> Dear Matti,
*

*>
*

*> Matti Pitkanen wrote:
*

*> >
*

*> > When this book is published?
*

*>
*

*> I can find the origional reference but I think it was in the early
*

*> '70s...
*

*>
*

*> > By the way, 8-dimensional imbedding space is of maximal dimension in the
*

*> > sense that only in this dimension two 4-surfaces in general intersect
*

*> > in point just as two curves in plane intersect generalically
*

*> > but miss each other in dimensions D>2.
*

*>
*

*> Yes, I agree! I will be looking into Pratt's Chu_8 spaces, there is a
*

*> relation there!
*

*>
*

*> > This might have some deep implications. For instance, cognitive
*

*> > spacetime sheets would generically intersect material
*

*> > spacetime sheets in D=8 but not in D>9. D<9 maximimizes
*

*> > geometric contact interactions in well defined sense.
*

*>
*

*> Wow! That would be great if we could prove it.
*

*>
*

*> > Furthermore, two 3-surfaces in 7-dimensional lightcone
*

*> > boundary delta M^4_+c xCP_3 or in a=constant hyperboloid can get
*

*> > linked just as curves in 3-space get linked. Could the linking
*

*> > of 3-surfaces can have any physical effects? It could if
*

*> > the topological reaction destroying the linking requires
*

*> > large enough energy: in this case linked 3-surface would be
*

*> > confined.
*

*>
*

*> Could the linking be use to define entanglement or locality? It does
*

*> seem that a Planck energy is needed in a Planck volume to achive grand
*

*> symmetry, perhaps it is here were topological variations occur... I
*

*> don't know...
*

No. Quantum entanglment is purely Hilbert space concept related

with tensor product. Of course, 'ontogeny recapitulates phylogeny'

suggests that there is geometric counterpart for entanglement.

Join along boundaries for 3-surface makes interaction between them

possible and is excellent candidate for geometric prequisite

of quantum entanglement. Also linking certaily correlates

the quantum positions of two 3-surfaces and might imply entanglement

in position coordinates.

Best,

MP

*>
*

*> Later,
*

*>
*

*> Stephen
*

*>
*

**Next message:**Matti Pitkanen: "[time 628] I try to find files about Kahler actions and variational principles"**Previous message:**Stephen P. King: "[time 626] Re: [time 624] Re: [time 621] Winding Space. Space-time sheets"**In reply to:**Matti Pitkanen: "[time 624] Re: [time 621] Winding Space. Space-time sheets"

*
This archive was generated by hypermail 2.0b3
on Sat Oct 16 1999 - 00:36:31 JST
*