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From: Brian Tenneson <tennesb.domain.name.hidden>

Date: Sun, 27 Apr 2008 20:11:38 -0700

In an attempt to recruit the help of a friend from school, he writes

this in an email in response:

<quote>

So, about your question, I've actually never heard

of a lattice-ordered abelian group, so I don't think I

can help you there. I can tell you about the

connection of category theory to physics, though

(although you may already know this): when you talk

about open string theory (i.e. adding D-branes to the

theory), depending on whether you consider the A or B

twist, the D branes are supposed to form a derived

Fukaya category for the A twist, or a category of

derived coherent sheaves on the B twist. In

categorical language, the objects are the D branes,

and the morphisms are (open) strings stretching

between D branes. If you wanted to then make some

(tenuous at best) connection to the real universe,

assuming that string theory is actually true, since

all particles are supposed to be strings (strings are

a subset of D branes), this means that theoretically

the entire universe could be described by a category

of D branes. The problem with this, though, is that D

branes are not fully described by even the derived

Fukaya/coherent sheaf setup, so before that kind of

connection can be made, (1) string theory has to be

proven true, (2) a complete mathematical description

of D branes has to be worked out.

</quote>

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Received on Sun Apr 27 2008 - 23:12:09 PDT

Date: Sun, 27 Apr 2008 20:11:38 -0700

In an attempt to recruit the help of a friend from school, he writes

this in an email in response:

<quote>

So, about your question, I've actually never heard

of a lattice-ordered abelian group, so I don't think I

can help you there. I can tell you about the

connection of category theory to physics, though

(although you may already know this): when you talk

about open string theory (i.e. adding D-branes to the

theory), depending on whether you consider the A or B

twist, the D branes are supposed to form a derived

Fukaya category for the A twist, or a category of

derived coherent sheaves on the B twist. In

categorical language, the objects are the D branes,

and the morphisms are (open) strings stretching

between D branes. If you wanted to then make some

(tenuous at best) connection to the real universe,

assuming that string theory is actually true, since

all particles are supposed to be strings (strings are

a subset of D branes), this means that theoretically

the entire universe could be described by a category

of D branes. The problem with this, though, is that D

branes are not fully described by even the derived

Fukaya/coherent sheaf setup, so before that kind of

connection can be made, (1) string theory has to be

proven true, (2) a complete mathematical description

of D branes has to be worked out.

</quote>

--~--~---------~--~----~------------~-------~--~----~

You received this message because you are subscribed to the Google Groups "Everything List" group.

To post to this group, send email to everything-list.domain.name.hidden

To unsubscribe from this group, send email to everything-list-unsubscribe.domain.name.hidden

For more options, visit this group at http://groups.google.com/group/everything-list?hl=en

-~----------~----~----~----~------~----~------~--~---

Received on Sun Apr 27 2008 - 23:12:09 PDT

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