Any Math wizards here?
Results 1 to 5 of 5

Thread: Any Math wizards here?

  1. #1
    Senior Member
    Join Date
    Oct 2005
    Posts
    106

    Question Any Math wizards here?

    Long story short, I decided to go to get more education (grad school) as a physicist. However, my focus is quantum gravity (always fun stuff when the adjective quantum is being used ) and I need to learn qualitative mathematics.

    So my problem is I need to learn qualitative math but I don't have a clue where to begin! I have been told "Topos theory" and "Category theory" are a "good start", but frankly I would like to verify this with a math wizard...someone with experience or knowledge of these things.

    Any help would be greatly appreciated!
    "The Texan turned out to be good-natured, generous and likeable. In three days no one could stand him." Catch 22 by Joseph Heller.

    Buddies? I have no buddies...


    Give the BSD daemon some love (proud FreeBSD user)

  2. #2
    Senior Member
    Join Date
    Oct 2003
    Posts
    149
    Goto a local university, ask the professor of quantum mechanics.
    Hi.

  3. #3
    Senior Member
    Join Date
    Mar 2004
    Posts
    557
    Hi

    Good knowledge of differential geometry[1], differential topology[1] and
    functional analysis[2] is mandatory if you want to understand anything
    involving the word quantum

    These mathematical fundamentals will allow you to understand quantum
    states and quantum operators - whether they are well-defined, not well-defined - and which are hoped to be well-defined ...

    These fundamentals will also allow you to understand curvatures of spaces,
    which are extremely important for general relativity (e.g. Ricci tensors).

    They will also help you to understand statistical mechanics - a topic
    extremely important to understand mechanism in the evolution of the
    universe (expansion, cooling down, phase transitions, ...).

    Good luck!
    Cheers.

    [1] http://en.wikipedia.org/wiki/Differe...y_and_topology
    [2] http://en.wikipedia.org/wiki/Functional_analysis
    Last edited by sec_ware; December 10th, 2006 at 10:44 AM.
    If the only tool you have is a hammer, you tend to see every problem as a nail.
    (Abraham Maslow, Psychologist, 1908-70)

  4. #4
    Junior Member
    Join Date
    Oct 2006
    Posts
    16
    Hey will u first explain me this "quantum". Wats this all about? I got my first college course on the topic earlier this year, but frankly speaking I got none of it into my head. So plzzz tell me wat fascinates u,Arkimedes? btw gud name! lol
    partyhardworkHARDER

  5. #5
    Senior Member
    Join Date
    Oct 2005
    Posts
    106
    Well, first of all, I'm sorry I haven't replied since I started this thread. I am at school, and I've been swamped with work.

    Thanks sec_ware, but I am interested in foundational problems of quantum mechanics (basically answering the question "Why is quantum mechanics so ****ed up?"). I've been reading Relational quantum mechanics by Carlo Rovelli, Geometry of Quantum Mechanics by J.M. Isidro, and a few other papers directed towards answering this question.

    I've been consulting the local quantum gravity guru on his opinion, and I think I've been pointed to an interesting direction. Take topos (categorical logic a sort of insanely obscure modal logic) and apply it to relational quantum mechanics.
    "The Texan turned out to be good-natured, generous and likeable. In three days no one could stand him." Catch 22 by Joseph Heller.

    Buddies? I have no buddies...


    Give the BSD daemon some love (proud FreeBSD user)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •