This book seeks to construct a consistent fundamental quantum
theory of gravity, which is often considered one of the most
challenging open problems in present-day physics. It approaches
this challenge using modern functional renormalization group
techniques, and attempts to realize the idea of "Asymptotic Safety"
originally proposed by S. Weinberg. Quite remarkably, the book
makes significant progress regarding both the fundamental aspects
of the program and its phenomenological consequences. The
conceptual developments pioneer the construction of a well-behaved
functional renormalization group equation adapted to spacetimes
with a preferred time-direction. It is demonstrated that the
Asymptotic Safety mechanism persists in this setting and extends to
many phenomenologically interesting gravity-matter systems. These
achievements constitute groundbreaking steps towards bridging the
gap between quantum gravity in Euclidean and Lorentzian
spacetimes.The phenomenological applications cover core topics in
quantum gravity, e.g. constructing a phenomenologically viable
cosmological evolution based on quantum gravity effects in the very
early universe, and analyzing quantum corrections to black holes
forming from a spherical collapse.As a key feature, all
developments are presented in a comprehensive and accessible way.
This makes the work a timely and valuable guide into the rapidly
evolving field of Asymptotic Safety.
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