Roger,
Your Leibniz monads are not extended, but the monads of string theory
are extended yet have most of the important properties of inextension.
Richard

On Fri, Oct 26, 2012 at 9:08 AM, Roger Clough <rclo...@verizon.net> wrote:
> Hi Richard Ruquist
>
> Thank you, but monads are not extended in space,
> they are mental and so inextended.
>
>
> Roger Clough, rclo...@verizon.net
> 10/26/2012
> "Forever is a long time, especially near the end." -Woody Allen
>
>
> ----- Receiving the following content -----
> From: Richard Ruquist
> Receiver: everything-list
> Time: 2012-10-26, 08:08:44
> Subject: Re: Re: Compact dimensions and orthogonality
>
>
> No Roger,
>
> In string theory dimensions are conserved but can undergo extreme
> modification such as in compactification where formerly orthogonal
> dimensions become embedded in 3D space in spite of what Brent thinks.
> However, the string theory monads that result from compactification
> have many of the properties that you ascribe to unextended realms.
> Because of BEC and instant mapping effects, the entire collection of
> monads in the universe may behave as though the existed at a single
> point despite being extended.
> Richard
>
> On Fri, Oct 26, 2012 at 7:56 AM, Roger Clough  wrote:
>> Hi Richard,
>>
>> Is there some way, such as reducing the dimensions of
>> strings to zero, that one can transverse from the world
>> of extension (the physical world) to that of inextended
>> experience or theory?
>>
>>
>> Roger Clough, rclo...@verizon.net
>> 10/26/2012
>> "Forever is a long time, especially near the end." -Woody Allen
>>
>>
>> ----- Receiving the following content -----
>> From: meekerdb
>> Receiver: everything-list
>> Time: 2012-10-25, 14:23:04
>> Subject: Re: Compact dimensions and orthogonality
>>
>>
>> On 10/25/2012 10:49 AM, Richard Ruquist wrote:
>>> On Thu, Oct 25, 2012 at 1:43 PM, Stephen P. King wrote:
>>>> On 10/25/2012 11:52 AM, meekerdb wrote:
>>>>
>>>> On 10/25/2012 4:58 AM, Richard Ruquist wrote:
>>>>
>>>> Stephan,
>>>>
>>>> Since yesterday it occurred to me that you may be thinking of the 10
>>>> or more dimensions of string theory as being orthogonal because they
>>>> were so before the big bang. But the dimensions that
>>>> curled-up/compactified went out of orthogonality during the big bang
>>>> according to Cumrun Vafa. I'll look up that reference if you are
>>>> interested.
>>>>
>>>> According to Vafa 2 dimensions compactified for every single space
>>>> dimension that inflated. In over simplified terms, 2 dimensions
>>>> (actually in strips of some 10,000 Planck lengths) to be compactified
>>>> lined up say in the east-west space dimension so that space in an
>>>> orthogonal direction could expand. So some semblance of orthogonality
>>>> exists in the compactification process, but it is clear that the
>>>> compactified dimensions become embedded in 3D space for inflation to
>>>> occur.
>>>>
>>>>
>>>> It's implicit in the definition of dimensions of a Riemannian manifold that
>>>> there are as many orthogonal directions as dimensions. Compactified
>>>> dimensions are just small; they're small, not infinite, because they have
>>>> closed topology. That property is completely independent of having
>>>> orthogonal directions.
>>>>
>>>> Brent
>>>>
>>>> Dear Brent,
>>>>
>>>> Compactness and orthogonality are not the same quantities. Yes. But my
>>>> point is that the compact structures in string theories (super or not) are
>>>> orthogonal to the dimensions of space-time. Maybe we need all take a
>>>> remedial math class on linear algebra and geometry!
>>> I am still waiting for the explanation of how you know that to be true-
>>> that the compact manifolds are orthogonal to space dimensions.
>>> Richard
>>
>> If they weren't orthogonal then a vector on them could be represented by by 
>> a linear
>> combinations of vectors in 3-space - and then they wouldn't provide the 
>> additional degrees
>> of freedom to describe particles and fields. They'd just be part of 3-space.
>>
>> Brent
>>
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