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The Road to Reality by Roger Penrose
Dr. Trader Joe:Since I am a newbie on this forum, I am totally a stranger than paradise!I have heard Mr. Penrose is a super-hyper swimmer specalizing himelf into butterfly stroke!TooNeat
The Road to Reality by Roger Penrose
QuoteOriginally posted by: TooNeatDr. Trader Joe:Since I am a newbie on this forum, I am totally a stranger than paradise!I have heard Mr. Penrose is a super-hyper swimmer specalizing himelf into butterfly stroke!TooNeatTNYour manner of dress reminds me of someone who is scarce of late. May I see your papers
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- Cuchulainn
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The Road to Reality by Roger Penrose
Last edited by Cuchulainn on September 2nd, 2006, 10:00 pm, edited 1 time in total.
The Road to Reality by Roger Penrose
Cuch,The material on 618 & 619 is interesting and relevant. Dirac's general idea was correct, but unfortunately his knowledge of Clifford algebra was poor.Dirac's solution is in general incorrect but does yield a few correct points on the manifold at the intersection of certain geodesics. What's interesting is that these geodesics correspond to positive and negative correlations and the intersections are rotations from the spin matrices.It's now known (maybe not by physicists) that non-commutting spin quantities are associated with 2-forms (Hamiltonian flows).What you're interested in is the general solution where the right type of operator splitting is employed.N
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- Cuchulainn
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The Road to Reality by Roger Penrose
QuoteOriginally posted by: NCuch,The material on 618 & 619 is interesting and relevant. Dirac's general idea was correct, but unfortunately his knowledge of Clifford algebra was poor.What you're interested in is the general solution where the right type of operator splitting is employed.NDirac's splitting was very good but - as can be seen in the book - the formula is left hanging in mid air after the splitting it seems... The current splitting is different in approach from dimensional splitting or corrected operator splitting methods. We just have a product of simpler equations.Don't suppose you know of numerical methods associated with Dirac splitting? I reckon the BCS become a bit easier.
Last edited by Cuchulainn on September 3rd, 2006, 10:00 pm, edited 1 time in total.
The Road to Reality by Roger Penrose
QuoteOriginally posted by: CuchulainnI reckon the BCS become a bit easier.BCS works only if the splitting is algebraically plurisubharmonic over Gal(VFu2)...