Glimpses of Space-Time Beyond the Singularities Using Supercomputers

Abstract

A fundamental problem of Einstein's theory of classical general relativity is the existence of singularities such as the big bang. All known laws of physics end at these boundaries of classical space-time. Thanks to recent developments in quantum gravity, supercomputers are now playing an important role in understanding the resolution of big bang and black hole singularities. Using supercomputers, explorations of the very genesis of space and time from quantum geometry are revealing a novel picture of what lies beyond classical singularities and the new physics of the birth of our universe.

Invited semi-technical overview article appeared in IEEE publication Computing in Science and Engineering, special issue on "Supercomputing-Enabled Advances in Science and Engineering" edited by S. Gottlieb and G. Khanna. 8 pages, 3 figures. Uses IEEE style file

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• Towards a reduced phase space quantization in loop quantum cosmology with an inflationary potential
• Non-singular quantum gravitational dynamics of an LTB dust shell model: the role of quantization prescriptions
• Phenomenological implications of modified loop cosmologies: an overview
• Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
• Primordial power spectrum from a matter-Ekpyrotic bounce scenario in loop quantum cosmology
• Hysteresis and beats in loop quantum cosmology
• On consistent gauge fixing conditions in polymerized gravitational systems
• Quantum gravity might restrict a cyclic evolution
• Tunneling wavefunction proposal with loop quantum geometry effects
• Universal properties of the evolution of the Universe in modified loop quantum cosmology
• A diffeomorphism invariant family of metric-affine actions for loop cosmologies
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• Loop quantum cosmology and its gauge-covariant avatar: a weak curvature relationship
• Basis Function Method for Numerical Loop Quantum Cosmology: The Schwarzschild Black Hole Interior
• Space-Time Collocation Method: Loop Quantum Hamiltonian Constraints