On Sep 6, 2005, at 9:16 PM, Jack Sarfatti wrote:

http://online.itp.ucsb.edu/online/gl...ill/oh/19.html

Lenny Susskind's "World Hologram" says that the number of computing
elements needed is only proportional to the 3D boundary of the 4D volume.

4|d3 = &4|3

The Dirac bra | is a co-form manifold of integration

The Dirac ket | is a form (the integrand)

d is the exterior derivative like a fermion creation operator, i.e.
p-form to p + 1 form

& is the adjoint boundary operator like a fermion destruction operator,
i.e. p + 1 co-form to p co-form.

d^2 = &^2 = 0

is like aa = 0 & a+a+ = 0

Pauli exclusion principle.

Note that ANYON para-statistics

generalizes this to a^p = 0 where p is a positive integer

So we can perhaps generalize d & & in a similar fashion?

When is the boundary of a boundary not zero? When the manifold is
multiply connected? A wormhole? That is non-bounding cycles. Similarly
in the dual closed forms that are not exact?

For example take a Star Gate (traversable wormhole held open by
universally repulsive zero point dark energy density with negative
pressure) with two "mouths" or portals. Each portal (The Doors of
Extraordinary Travel) is a closed flattened 2D sphere. One sphere is in
one universe, the other is in a universe next door in hyperspace in
which alien ETs live perhaps. You jump into the bubble floating on the
Bigelow Ranch in Utah and wind up God Knows Where and When in the blink
of an eye? ;-)