*WDEshleman@aol.com*

*Sun, 5 Sep 1999 04:05:04 EDT*

**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**Hitoshi Kitada: "[time 676] Re: [time 674] Re: [time 664] Reply to NOW/PAST question"**Previous message:**WDEshleman@aol.com: "[time 674] Re: [time 664] Reply to NOW/PAST question"**Next in thread:**Stephen P. King: "[time 681] Re: [time 675] Infinite Objective Reality"

Stephen and Matti,

[WDE]

My infinite products are simply candidates for role of the

objective multiplicity that subjectively offers the seemingly

non-intuitive conclusions drawn above.

[SPK]

I think that the infinite product offer a way to construct coordinate

systems that are "subjective" yet can be "shared".

[WDE]

Yes, Stephen; what I believe that I have is an example of a

subjective mathematical description of a holographic reality.

So then you may ask, what is the underlying objective

structure? You are ready Stephen; you can understand the

simple math I will give you. There are two other infinite

products equal to 1/(1 - x) besides the one I use in my

paper. The first is simply that:

1/(1 - x) = (1 + x)(1 + x^2)(1 + x^4)(1 + x^8)(1 + x^16)... (A)

with no holographic properties. Now, by induction, we

know that since (1 + x^2) = { (1 + x^2)^(1/2) } * { (1 + x^2)^(1/2) }

and (1 + x^4)

= { (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4) }*{ (1 +

x^4)^(1/4) }

and so on for each of the factors in (A) above. This produces a

bifurcating Christmas tree with 1/(1 - x) as the star equal to the

product of,

(1 + x) *

{ (1 + x^2)^(1/2) } * { (1 + x^2)^(1/2) } *

{ (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4)

} *

then 8 roots of (1 + x^8) *

then 16 roots of (1 + x^16) *

then 32 roots of (1 + x^32) * * *

to infinity.

This is what I accept for now as the underlying objective holographic reality.

It is holographic (many-worlded) in the sense that any branch or even

sub-branch contains exactly the same structure (distribution) as

does the whole (product). A structure that appears the same, no matter

which node that it is observed from internally. And because it is equal

to 1/(1 - x) it gives an impression to observers that present states are

being drawn toward all possible future states instead of being pushed

into the future or past by means of histories. The mathematical relations

above are derived by repeated cyclotomic factorizations.

Sincerely,

Bill

**Next message:**Hitoshi Kitada: "[time 676] Re: [time 674] Re: [time 664] Reply to NOW/PAST question"**Previous message:**WDEshleman@aol.com: "[time 674] Re: [time 664] Reply to NOW/PAST question"**Next in thread:**Stephen P. King: "[time 681] Re: [time 675] Infinite Objective Reality"

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