[time 430] Re: There really are lots of "nows"

Stephen Paul King (stephenk1@home.com)
Mon, 05 Jul 1999 23:05:49 GMT

On 5 Jul 1999 14:51:24 -0700, baez@galaxy.ucr.edu (John Baez) wrote:

>In article <tjLf3.2927$re6.60259@news2.randori.com>,
>Richard Crew <crew@math.ufl.edu> wrote:
>> I've always wondered why it is that physicists are perfectly willing to
>> add extra spatial dimensions to the space-time continuum, but not extra
>> time dimensions.
>Because nobody wants to be called a lousy cheatin' two-timer!
>Actually M-theory, which lives in 11 dimensions, may be related
>to a 13-dimensional theory in which time is 2-dimensional. Try
>reading these papers:
>Two-Time Physics
>Itzhak Bars
>We give an overview of the correspondence between one-time-physics and
>two-time-physics. This is characterized by the presence of an SO(d,2)
>symmetry and an Sp(2) duality among diverse one-time-physics systems
>all of which can be lifted to the same more symmetric two-time-physics
>system by the addition of gauge degrees of freedom. We provide several
>explicit examples of physical systems that support this correspondence.
>The example of a particle moving in (AdS_D) X (S^n), with SO(D+n,2)
>symmetry which is larger than the popularly known symmetry SO(D-1,2) X
>SO(n+1) for this case, should be of special current interest in view of
>the proposed AdS-CFT duality.
>Lifting M-theory to Two-Time Physics
>I. Bars, C. Deliduman, D. Minic
>M-theory has different global supersymmetry structures in its various dual
>incarnations, as characterized by the M-algebra in 11D, the type IIA,
>type-IIB, heterotic, type-I extended supersymmetries in 10D, and non-Abelian
>supersymmetries in the AdS_n x S^m backgrounds. We show that all of these
>supersymmetries are unified within the supersymmetry OSp(1/64), thus hinting
>that the overall global spacetime symmetry of M-theory is OSp(1/64). We
>suggest that the larger symmetries contained within OSp(1/64) which go beyond
>the familiar symmetries, are non-linearly realized hidden symmetries of
>M-theory. These can be made manifest by lifting 11D M-theory to the
>formalism of two-time physics in 13D by adding gauge degrees of freedom.
>We illustrate this idea by constructing a toy M-model on the worldline in
>13D with manifest OSp(1/64) global supersymmetry, and a number of new local
>symmetries that remove ghosts. Some of the local symmetries are bosonic
>cousins of kappa supersymmetries. The model contains 0-superbrane and
>p-forms (for p=3,6) as degrees of freedom. The gauge symmetries can be fixed
>in various ways to come down to a one time physics model in 11D, 10D,
>AdS_n x S^m, etc., such that the linearly realized part of OSp(1/64) is
>the global symmetry of the various dual sectors of M-theory.

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