Symmetries,Singularities and the De-Emergence of Space

Abstract

Recent work has revealed intriguing connections between a Belinsky-Khalatnikov-Lifshitz-type analysis of spacelike singularities in General Relativity and certain infinite dimensional Lie algebras, and in particular the `maximally extended' hyperbolic Kac--Moody algebra E10. In this essay we argue that these results may lead to an entirely new understanding of the (quantum) nature of space(-time) at the Planck scale, and hence -- via an effective `de-emergence' of space near a singularity -- to a novel mechanism for achieving background independence in quantum gravity.

arXiv comment10 pages

References in corpus (9)

• E_11 and M Theory
• E10 and a "small tension expansion" of M Theory
• Chaos in Superstring Cosmology
• E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology
• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• Singularities and Quantum Gravity
• Extended E8 Invariance of 11-Dimensional Supergravity
• Higher order M theory corrections and the Kac-Moody algebra E10
• Two Conjectures on Gauge Theories, Gravity, and Infinite Dimensional Kac-Moody Groups

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• Aspects of higher curvature terms and U-duality
• Hyperbolic Weyl groups and the four normed division algebras
• Relativistic Wavepackets in Classically Chaotic Quantum Cosmological Billiards
• Cosmological singularity
• Integral forms of Kac-Moody groups and Eisenstein series in low dimensional supergravity theories
• Sugawara-type constraints in hyperbolic coset models
• Hidden Symmetries of M-Theory and Its Dynamical Realization
• Chaos and Symmetry in String Cosmology
• Kac--Moody groups and automorphic forms in low dimensional supergravity theories
• Raum, Zeit und Wechselwirkung in der Quantentheorie der Ur-Alternativen
• Some Hidden Structure in BKL
• The Formation of the Universe: Conjectures