**Stephen P. King** (*stephenk1@home.com*)

*Mon, 06 Sep 1999 03:08:32 -0400*

**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**Hitoshi Kitada: "[time 682] Re: [time 680] Re: [time 678] Re: [time 676] Reply to NOW/PAST question"**Previous message:**Hitoshi Kitada: "[time 680] Re: [time 678] Re: [time 676] Reply to NOW/PAST question"**In reply to:**WDEshleman@aol.com: "[time 674] Re: [time 664] Reply to NOW/PAST question"

Dear Bill,

WDEshleman@aol.com wrote:

*>
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*> Stephen and Matti,
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*>
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*> [WDE]
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*> My infinite products are simply candidates for role of the
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*> objective multiplicity that subjectively offers the seemingly
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*> non-intuitive conclusions drawn above.
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*>
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*> [SPK]
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*> I think that the infinite product offer a way to construct coordinate
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*> systems that are "subjective" yet can be "shared".
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*>
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*> [WDE]
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*> Yes, Stephen; what I believe that I have is an example of a
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*> subjective mathematical description of a holographic reality.
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*> So then you may ask, what is the underlying objective
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*> structure? You are ready Stephen; you can understand the
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*> simple math I will give you. There are two other infinite
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*> products equal to 1/(1 - x) besides the one I use in my
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*> paper. The first is simply that:
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*>
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*> 1/(1 - x) = (1 + x)(1 + x^2)(1 + x^4)(1 + x^8)(1 + x^16)... (A)
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*>
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*> with no holographic properties. Now, by induction, we
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*> know that since (1 + x^2) = { (1 + x^2)^(1/2) } * { (1 + x^2)^(1/2) }
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*> and (1 + x^4)
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*> = { (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4) }*{ (1 +
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*> x^4)^(1/4) }
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*>
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*> and so on for each of the factors in (A) above. This produces a
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*> bifurcating Christmas tree with 1/(1 - x) as the star equal to the
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*> product of,
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*>
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*> (1 + x) *
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*> { (1 + x^2)^(1/2) } * { (1 + x^2)^(1/2) } *
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*> { (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4) }*{ (1 + x^4)^(1/4)
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*> } *
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*> then 8 roots of (1 + x^8) *
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*> then 16 roots of (1 + x^16) *
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*> then 32 roots of (1 + x^32) * * *
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*> to infinity.
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Cool! I am thinking about the pictoral meaning of this...

*> This is what I accept for now as the underlying objective holographic reality.
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*> It is holographic (many-worlded) in the sense that any branch or even
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*> sub-branch contains exactly the same structure (distribution) as
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*> does the whole (product). A structure that appears the same, no matter
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*> which node that it is observed from internally. And because it is equal
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*> to 1/(1 - x) it gives an impression to observers that present states are
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*> being drawn toward all possible future states instead of being pushed
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*> into the future or past by means of histories. The mathematical relations
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*> above are derived by repeated cyclotomic factorizations.
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My question is: What if these exist subbranches that are 1/x : x \elem

[0,1] different from the "whole"? How long or how many disjoint steps

does it take to alter it so that it is equal?

I see each "world" as constructed from pieces of others; so what if a

given world were finite? What effect would the "other", \infinity - x,

pieces of worlds have on it? None? This looks like the renormalization

problem!

I am thinking that a finite amount of information requires only a

finite number of particles in some configuration to encode it, so what

if there exists an infinite amount of information, like Lexicons, "at"

each point in a space? Can we think of "time" as the parametrization of

the encoding/decoding process?

Onward,

Stephen

**Next message:**Hitoshi Kitada: "[time 682] Re: [time 680] Re: [time 678] Re: [time 676] Reply to NOW/PAST question"**Previous message:**Hitoshi Kitada: "[time 680] Re: [time 678] Re: [time 676] Reply to NOW/PAST question"**In reply to:**WDEshleman@aol.com: "[time 674] Re: [time 664] Reply to NOW/PAST question"

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