**Ben Goertzel** (*ben@goertzel.org*)

*Mon, 29 Mar 1999 10:16:01 -0500*

**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**ca314159: "[time 68] Re: [time 66] Geometric transformations & DSP"**Previous message:**Stephen P. King: "[time 66] Geometric transformations & DSP"**Next in thread:**ca314159: "[time 68] Re: [time 66] Geometric transformations & DSP"

Hi,

I've been lurking for a while here, and this may be a good time for me to

jump in, if only to ask for clarification. This discussion is fascinating,

although

sometimes beyond me (I'm a mathematician who has dabbled in a number of

radical and conventional physics theories, but does not have a really

thorough knowledge of

physics beyond the level of General Relativity and standard Quantum Mechanics).

My inclination with this kind of discussion is to try to strip away as much

mathematics

and terminology as possible and reduce things to the level of ultimate

simplicity, where

the core concepts are laid bare.

Mathematical tricks are not going to be enough to solve the current

problems of physics.

We need a conceptual innovation. Specifically, we need to figure out how local

subjective realities combine to yield the global reality (which then in

turn gives rise to the

local systems that spawn local subjective realities). The universe is an

attractor of

this dynamical system of localreality/globalreality intercreation. The

conceptual innovation

is going to be the right way to express this philosophical idea mathematically.

that said, now let me ask some basic questions about the current discussion...

*> The idea is to figure out how to:
*

*>1) How the quantity of time (past, future, "history") as it is
*

*>considered "classically" by observers is derived from the interactions
*

*>of LSs, which give us local clocks.
*

OK, I think I understand this, but I forget what "LS's" stands for :(

The point is that we want to get a global time out of the panoply of local

times associated with local coordinate systems in

general-relativistic-quantum-theory?

Is that correct?

*>and equivilantly:
*

*>2) How to derive the classical 3+1 spacetime from R^6n (or R^3n x R^3n)
*

*>via projections. Clue: Paul Hanna conjectures that a 3 + 3 relativity is
*

*>at work. I will be getting the formalisms from his shortly. :)
*

Why 6n?

Not knowing this background, I'm speaking in ignorance, but here are a few more

comments anyway...

I spent a while working with Tony Smith's physics theory in which he derives

3+1 spacetime from 8-dimensional spacetime, which is derived from N-dimensional

spacetime by the clifford algebra periodicity theorem (stating that Cl(n)

is expressible

as a direct product of clifford algebras of order 8 or below)

But this argument only makes sense if one is focusing on clifford products.

The question of projecting higher dimensions onto lower ones has to do with the

multiplication operations that one wishes to preserve via the projection.

Where addition

is concerned one can project anything onto anything.

ben

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