|
|
Up |
|
|
  |
Author: postdoc4everpostdoc4ever Date: Aug 9, 2008 13:40
http://www.math.columbia.edu/~woit/wordpress/?p=762#comment-42541
http://www.fqxi.org/large-grants/awardee/details/2008/baez says,
"Dr. John Baez
University of California at Riverside
Project Title:
Categorifying Fundamental Physics
Summary:
In ordinary mathematics, and physics as well, equations are
fundamental. However, every equation is a half-truth: after all, if
the two sides of the equation look different, why are we saying
they're the same? 'Categorification' is a fancy name for coming clean
on this issue: instead of merely saying that two things are the same,
we specify a way of regarding them as the same.
This has surprising consequences. For example, we usually think of
quantities like energy as continuously variable, or 'analog'. Quantum
mechanics shows there is a certain discreteness built into the world,
but it still uses analog ideas. Using categorification, we can phrase
large portions of quantum mechanics in a purely discrete way. We want
to know how far we can push this.
|
| Show full article (2.66Kb) |
|
| | 15 Comments |
|
  |
Author: Uncle AlUncle Al Date: Aug 9, 2008 14:01
>
> http://www.math.columbia.edu/~woit/wordpress/?p=762#comment-42541
>
> http://www.fqxi.org/large-grants/awardee/details/2008/baez says,
>
> "Dr. John Baez
> University of California at Riverside
>
> Project Title:
> Categorifying Fundamental Physics
>
> Summary:
> In ordinary mathematics, and physics as well, equations are
> fundamental. However, every equation is a half-truth: after all, if
> the two sides of the equation look different, why are we saying
> they're the same? 'Categorification' is a fancy name for coming clean
> on this issue: instead of merely saying that two things are the same,
> we specify a way of regarding them as the same.
> ...
|
| Show full article (1.63Kb) |
|
| | no comments |
|
  |
|
|
  |
Author: Pentcho ValevPentcho Valev Date: Aug 9, 2008 14:51
On Aug 9, 10:40Â pm, postdoc4e...@ gmail.com wrote:
> http://www.math.columbia.edu/~woit/wordpress/?p=762#comment-42541
>
> http://www.fqxi.org/large-grants/awardee/details/2008/baez says,
>
> "Dr. John Baez
> University of California at Riverside
>
> Project Title:
> Categorifying Fundamental Physics
>
> Summary:
> In ordinary mathematics, and physics as well, equations are
> fundamental. However, every equation is a half-truth: after all, if
> the two sides of the equation look different, why are we saying
> they're the same? 'Categorification' is a fancy name for coming clean
> on this issue: instead of merely saying that two things are the same,
> we specify a way of regarding them as the same.
>
> This has surprising consequences. For example, we usually think of ...
|
| Show full article (4.62Kb) |
| no comments |
|
  |
|
|
  |
Author: Pentcho ValevPentcho Valev Date: Aug 9, 2008 15:48
On Aug 10, 12:25Â am, Traveler nowhere.net> wrote:
> ahahaha... I love it. Dr. John Baez of UC Riverside, who loves to
> point out that he regularly flies to conferences around the world
> (he's a proud jet-setting physicist), is the well-known usenet
> crackpot and math puzzle fanatic who once wrote this wonderful gem:
>
> Â Â I would prefer to say that there are infinitely many "nows", but no
> Â Â one "now" that is any better than the rest. Â In special or general
> Â Â relativity, we can define a "now" to be a spacelike hypersurface -
> Â Â or more technically, a Cauchy surface. Â In one "now", I am typing
> Â Â this article while sitting at my desk on a hot summer morning in
> Â Â Riverside. In another, I am asleep on an airplane flying to
> Â Â Portugal. Â In most of them, I don't exist. Â Since we can describe
> Â Â the state of the universe by giving the values of fields at any
> Â Â given "now", all these "nows" give isomorphic descriptions of the
> Â Â universe. Â The isomorphism between them is what we call "the
> Â Â passage of time".
>
> ahahaha... Wait, it gets even better. In response to the following
> mesmerizing nugget of wisdom by fellow crackpot, Mark William Hopkins: ...
|
| Show full article (3.30Kb) |
| no comments |
|
  |
Author: SpacemanSpaceman Date: Aug 9, 2008 16:16
> http://www.math.columbia.edu/~woit/wordpress/?p=762#comment-42541
>
> http://www.fqxi.org/large-grants/awardee/details/2008/baez says,
>
> "Dr. John Baez
> University of California at Riverside
>
> Project Title:
> Categorifying Fundamental Physics
>
> Summary:
> In ordinary mathematics, and physics as well, equations are
> fundamental. However, every equation is a half-truth: after all, if
> the two sides of the equation look different, why are we saying
> they're the same? 'Categorification' is a fancy name for coming clean
> on this issue: instead of merely saying that two things are the same,
> we specify a way of regarding them as the same.
>
> This has surprising consequences. For example, we usually think of ...
|
| Show full article (1.51Kb) |
| no comments |
|
  |
Author: TravelerTraveler Date: Aug 9, 2008 16:21
On Sat, 9 Aug 2008 15:48:24 -0700 (PDT), Pentcho Valev
yahoo.com> wrote:
>On Aug 10, 12:25Â am, Traveler nowhere.net> wrote:
>> ahahaha... I love it. Dr. John Baez of UC Riverside, who loves to
>> point out that he regularly flies to conferences around the world...
|
| Show full article (3.56Kb) |
| no comments |
|
  |
Author: AndroclesAndrocles Date: Aug 9, 2008 16:39
"Traveler" nowhere.net> wrote in message
news:fs4s94tanser1fms7tac6o14i0kkje1060@4ax.com...
| On Sat, 9 Aug 2008 13:40:44 -0700 (PDT), postdoc4ever@gmail.com wrote:
|
| >http://www.math.columbia.edu/~woit/wordpress/?p=762#comment-42541
| >
| >http://www.fqxi.org/large-grants/awardee/details/2008/baez says,
| >
| >"Dr. John Baez
| >University of California at Riverside
| >
| >Project Title:
| >Categorifying Fundamental Physics
| >
| >Summary:
| >In ordinary mathematics, and physics as well, equations are
| >fundamental. However, every equation is a half-truth: after all, if
| >the two sides of the equation look different, why are we saying
| >they're the same? 'Categorification' is a fancy name for coming clean
| >on this issue: instead of merely saying that two things are the same, ...
|
| Show full article (6.53Kb) |
| no comments |
|
  |
|
|
  |
Author: TravelerTraveler Date: Aug 9, 2008 16:56
On Sun, 10 Aug 2008 00:39:32 +0100, "Androcles"
wrote:
>
>"Traveler" nowhere.net> wrote in message
>news:fs4s94tanser1fms7tac6o14i0kkje1060@4ax.com...
>| On Sat, 9 Aug 2008 13:40:44 -0700 (PDT), postdoc4ever@gmail.com wrote:
>|
>| >http://www...
|
| Show full article (7.22Kb) |
| no comments |
|
|
|
|