Eikonal Approach to Planck Scale Physics
Saurya Das (Institute of Mathematical Sciences, Madras)
TL;DR
This paper investigates high-energy gravitational scattering at the Planck scale using black hole metrics within general relativity and dilaton gravity, highlighting the special role of extremal black holes as elementary particles.
Contribution
It introduces a framework for calculating scattering amplitudes at Planckian energies using black hole geometries, emphasizing extremal black holes in dilaton gravity.
Findings
Scattering amplitudes can be modeled with arbitrary black hole metrics in general relativity.
In dilaton gravity, only extremal black hole metrics are suitable for modeling.
Supports the idea that extremal black holes are elementary particles.
Abstract
We consider gravitational scattering of point particles with Planckian centre-of-mass energy and fixed low momentum transfers in the framework of general relativity and dilaton gravity. The geometry around the particles are modelled by arbitrary black hole metrics of general relativity to calculate the scattering amplitudes. However, for dilaton gravity, this modelling can be done {\it only} by extremal black hole metrics. This is consistent with the conjecture that extremal black holes are elementary particles.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Advanced Differential Geometry Research