Effective Spacetime: Understanding Emergence in Effective Field Theory and Quantum Gravity
This book discusses the notion that quantum gravity may represent the "breakdown" of spacetime at extremely high energy scales. If spacetime does not exist at the fundamental level, then it has to be considered "emergent", in other words an effective structure, valid at low energy scales. The author develops a conception of emergence appropriate to effective theories in physics, and shows how it applies (or could apply) in various approaches to quantum gravity, including condensed matter approaches, discrete approaches, and loop quantum gravity.
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account of emergence analogue models approaches to quantum approximation argue asymptotic safety autonomy background independence Batterman behaviour Cao and Schweber causal set causal set theory claim classical conception of emergence condensed matter physics continuum coupling constants CQFT critical phenomena cutoff decoherence defined definition degrees of freedom derivation described diffeomorphism invariance discrete approaches discussed domains dynamics effective field theory emergent spacetime energy scale equations explain failure of reduction final theory fixed point fundamental gauge geometry Hamiltonian high-energy physics high-energy theory Hilbert space Huggett idea of emergence interactions Lagrangian limit loop low-energy physics Markopoulou means metric micro-theory Morrison non-renormalisable novelty ontological parameters particle phase transition Physical Review predictions principle problem quantisation quantum field theory quantum gravity quantum theory relation renormalisable theory renormalisation represent Rovelli Sect sense spacetime spin foam spin network standard model structure supervenience symmetry symmetry-breaking thermodynamics top–down underdetermination WŁthrich