Gravity in 2T-Physics

Abstract

The field theoretic action for gravitational interactions in d+2 dimensions is constructed in the formalism of 2T-physics. General Relativity in d dimensions emerges as a shadow of this theory with one less time and one less space dimensions. The gravitational constant turns out to be a shadow of a dilaton field in d+2 dimensions that appears as a constant to observers stuck in d dimensions. If elementary scalar fields play a role in the fundamental theory (such as Higgs fields in the Standard Model coupled to gravity), then their shadows in d dimensions must necessarily be conformal scalars. This has the physical consequence that the gravitational constant changes at each phase transition (inflation, grand unification, electro-weak, etc.), implying interesting new scenarios in cosmological applications. The fundamental action for pure gravity, which includes the spacetime metric, the dilaton and an additional auxiliary scalar field all in d+2 dimensions with two times, has a mix of gauge symmetries to produce appropriate constraints that remove all ghosts or redundant degrees of freedom. The action produces on-shell classical field equations of motion in d+2 dimensions, with enough constraints for the theory to be in agreement with classical General Relativity in d dimensions. Therefore this action describes the correct classical gravitational physics directly in d+2 dimensions. Taken together with previous similar work on the Standard Model of particles and forces, the present paper shows that 2T-physics is a general consistent framework for a physical theory.

24 pages, revision includes minor corrections and additional clarifying material

References in corpus (32)

• Light scalar at LHC: the Higgs or the dilaton?
• The $\nu$MSM, Inflation, and Dark Matter
• Conformal Symmetry and the Standard Model
• A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
• Novel Effects in Electroweak Breaking from a Hidden Sector
• Electroweak Higgs as a pseudo-Goldstone boson of broken scale invariance
• Effective Action, Conformal Anomaly and the Issue of Quadratic Divergences
• Gauged Duality, Conformal Symmetry, and Spacetime with Two Times
• Higher Spin Superalgebras in any Dimension and their Representations
• Survey of Two-Time Physics
• S-Theory
• The Standard Model of Particles and Forces in the Framework of 2T-physics
• Supersymmetry, p-brane duality and hidden space and time dimensions
• Lifting M-theory to Two-Time Physics
• Is there a new physics between electroweak and Planck scales?
• Supersymmetric Two-Time Physics
• Two-Time Physics in Field Theory
• High Spin Gauge Fields and Two-Time Physics
• Conformal Field Theory in Conformal Space
• Two-Time Physics with gravitational and gauge field backgrounds
• Noncommutative Sp(2,R) Gauge Theories - A Field Theory Approach to Two-Time Physics
• Interacting Two-Time Physics Field Theory With a BRST Gauge Invariant Action
• U*(1,1) Noncommutative Gauge Theory As The Foundation of 2T-Physics in Field Theory
• Field Theory in 2T-physics with N=1 Supersymmetry
• Dual Field Theories In (d-1)+1 Emergent Spacetimes From A Unifying Field Theory In d+2 Spacetime
• 2T-Physics 2001
• Conformal theories including conformal gravity as gauge theories on the hypercone
• Dualities among 1T-Field Theories with Spin, Emerging from a Unifying 2T-Field Theory
• Black hole entropy reveals a 12th "dimension"
• Supersymmetric Field Theory in 2T-physics
• Duality Covariant Type IIB Supersymmetry and Nonperturbative Consequences
• The Standard Model as a 2T-physics Theory

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• Geodesically Complete Analytic Solutions for a Cyclic Universe
• Complete Set of Homogeneous Isotropic Analytic Solutions in Scalar-Tensor Cosmology with Radiation and Curvature
• Possible antigravity regions in $F(R)$ theory?
• Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime
• Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics
• Geometry and Symmetry Structures in 2T Gravity
• The Big Bang and Inflation United by an Analytic Solution
• Physical Interpretation of Antigravity
• Modified Saez-Ballester scalar-tensor theory from 5D space-time
• Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory
• Dynamical String Tension in String Theory with Spacetime Weyl Invariance
• Generalized Dualities in 1T-Physics as Holographic Predictions from 2T-Physics
• Traversing Cosmological Singularities, Complete Journeys Through Spacetime Including Antigravity
• Duality Between Hydrogen Atom and Oscillator Systems via Hidden SO(d,2) Symmetry and 2T-physics
• Geodesically Complete Universe
• N=2,4 Supersymmetric Gauge Field Theory in 2T-physics
• Is Quantum Gravity a Chern-Simons Theory?
• Fundamental constraints on two-time physics
• CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold
• Wavefunction for the Universe Circa the Beginning with Dynamically Determined Unique Initial Conditions
• Extended Rindler Spacetime and a New Multiverse Structure
• Looking for Carroll particles in two time spacetime
• Electroweak phase transition via Dilaton in Two-Time Physics
• The Transition Amplitude for 2T Physics
• Super Yang-Mills theory in 10+2 dimensions, The 2T-physics Source for N=4 SYM and M(atrix) Theory
• Constraint on the Higgs-Dilaton potential via Warm inflation in Two-Time Physics
• Quantum fields on projective geometries
• Dual Quantum Mechanics