2T-Physics 2001

Abstract

The physics that is traditionally formulated in one--time-physics (1T-physics) can also be formulated in two-time-physics (2T-physics). The physical phenomena in 1T or 2T physics are not different, but the spacetime formalism used to describe them is. The 2T description involves two extra dimensions (one time and one space), is more symmetric, and makes manifest many hidden features of 1T-physics. One such hidden feature is that families of apparently different 1T-dynamical systems in d dimensions holographically describe the same 2T system in d+2 dimensions. In 2T-physics there are two timelike dimensions, but there is also a crucial gauge symmetry that thins out spacetime, thus making 2T-physics effectively equivalent to 1T-physics. The gauge symmetry is also responsible for ensuring causality and unitarity in a spacetime with two timelike dimensions. What is gained through 2T-physics is a unification of diverse 1T dynamics by making manifest hidden symmetries and relationships among them. Such symmetries and relationships is the evidence for the presence of the underlying higher dimensional spacetime structure. 2T-physics could be viewed as a device for gaining a better understanding of 1T-physics, but beyond this, 2T-physics offers new vistas in the search of the unified theory while raising deep questions about the meaning of spacetime. In these lectures, the recent developments in the powerful gauge field theory formulation of 2T-physics will be described after a brief review of the results obtained so far in the more intuitive worldline approach.

15 pages, LaTeX

References in corpus (5)

• BPS states in M-theory and twistorial constituents
• High Spin Gauge Fields and Two-Time Physics
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• Noncommutative Sp(2,R) Gauge Theories - A Field Theory Approach to Two-Time Physics
• On the Embedding of Space-Time Symmetries into Simple Superalgebras

Cited by in corpus (17)

• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• On Higher Spins with a Strong Sp(2,R) Condition
• Brane Partons and Singleton Strings
• On the underlying gauge group structure of D=11 supergravity
• Gravity in 2T-Physics
• Twistor Superstring in 2T-Physics
• Supersymmetric null-surfaces
• Single twistor description of massless, massive, AdS, and other interacting particles
• Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime
• Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics
• Twistor Transform in d Dimensions and a Unifying Role for Twistors
• Interacting Two-Time Physics Field Theory With a BRST Gauge Invariant Action
• Singletons and their maximal symmetry algebras
• Supersymmetric Field Theory in 2T-physics
• Generalized Twistor Transform And Dualities, With A New Description of Particles With Spin, Beyond Free and Massless
• Electroweak phase transition via Dilaton in Two-Time Physics
• The Transition Amplitude for 2T Physics