Holographic Space-time and Newton's Law

Abstract

We derive Newton's Law from the formalism of Holographic Space-Time (HST). More precisely, we show that for a large class of Hamiltonians of the type proposed previously for the HST description of a geodesic in Minkowski space, the eikonal for scattering of two massless particles at large impact parameter scales as expected with the impact parameter and the energies of the particles in the center of mass (CM) frame. We also discuss the criteria for black hole production in this collision, and find an estimate, purely within the HST framework, for the impact parameter at which it sets in, which coincides with the estimate based on general relativity.

10 pages, no figures, missing appendix added, acknowledgments updated

References in corpus (3)

• Holographic Space-Time: The Takeaway
• Holographic Theory of Accelerated Observers, the S-matrix, and the Emergence of Effective Field Theory
• Holographic space-time and its phenomenological implications

Cited by in corpus (10)

• The Holographic Space-Time Model of Cosmology
• Fluctuation and dissipation in de Sitter space
• The Super BMS Algebra, Scattering and Holography
• Holographic Space-time and Black Holes: Mirages As Alternate Reality
• Supersymmetry Breaking and the Cosmological Constant
• Holographic Space-time, Newton's Law and the Dynamics of Black Holes
• Current Algebra on the Conformal Boundary and the Variables of Quantum Gravity
• Holographic Space-time and Quantum Information
• Note on Localized Objects as Constrained States of Holographic Variables
• Holographic Inflation and the Low Entropy of the Early Universe