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General relativity typically predicts singularities when
applied to high curvature regimes such as the very early universe or
within the cores of black-holes. Therefore, quantum gravity becomes
essential in describing the physics of such regions. In particular,
loop quantum gravity, when applied to such scenarios, result in
singularity-resolution due to nontrivial quantum corrections resulting
in the emergence of modified dynamics near Planck scales. However, a
quantum theory of gravity must also describe a theory of quantum
space-time. In this talk, I shall focus on implications for quantum
space-time due to loop quantum gravity corrections, the main physical
consequence of which is dynamical 'signature-change'. Similarities
with other approaches such as the Hartle-Hawking proposal and
non-commutative geometry shall also be briefly discussed. |