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1

Jorge, Pullin, ed. A first course in loop quantum gravity. Oxford: Oxford University Press, 2011.

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2

Gambini, Rodolfo. Loops, knots, gauge theories, and quantum gravity. Cambridge: Cambridge University Press, 1996.

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3

Ashtekar, Abhay, and Jorge Pullin. Loop Quantum Gravity. World Scientific, 2017. http://dx.doi.org/10.1142/10445.

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4

Pullin, Jorge, and Rodolfo Gambini. Loop Quantum Gravity for Everyone. World Scientific Pub Co Inc, 2020.

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5

Pullin, Jorge, and Rodolfo Gambini. First Course in Loop Quantum Gravity. Oxford University Press, 2011.

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6

Rovelli, Carlo. Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory. Cambridge University Press, 2014.

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7

Rovelli, Carlo. Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory. Cambridge University Press, 2014.

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8

Rovelli, Carlo. Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory. University of Cambridge ESOL Examinations, 2020.

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9

Rovelli, Carlo. Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory. Cambridge University Press, 2015.

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10

Kiefer, Claus. Time in Quantum Gravity. Edited by Craig Callender. Oxford University Press, 2011. http://dx.doi.org/10.1093/oxfordhb/9780199298204.003.0024.

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This chapter notes that quantum gravity places the concept of time on a new level. In the absence of experimental hints, mathematical and conceptual issues must be chosen as the guides in the search for such a theory. Just as reconceiving classical notions of time was key for Einstein, in his discovery of special relativity, so too many believe that time will again hold the clue for theoretical advancement, but this time with quantum gravity. The chapter details the challenge of reconciling quantum theory with relativity, concentrating especially on why time in particular causes trouble. It describes a result in canonical quantum gravity which is possibly of signal importance, namely, that fundamentally there is no time at all, and discusses the problem of time, quantization, semiclassical time, loop quantum gravity, and string theory.
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11

Chekhov, Leonid. Two-dimensional quantum gravity. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.30.

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This article discusses the connection between large N matrix models and critical phenomena on lattices with fluctuating geometry, with particular emphasis on the solvable models of 2D lattice quantum gravity and how they are related to matrix models. It first provides an overview of the continuum world sheet theory and the Liouville gravity before deriving the Knizhnik-Polyakov-Zamolodchikov scaling relation. It then describes the simplest model of 2D gravity and the corresponding matrix model, along with the vertex/height integrable models on planar graphs and their mapping to matrix models. It also considers the discretization of the path integral over metrics, the solution of pure lattice gravity using the one-matrix model, the construction of the Ising model coupled to 2D gravity discretized on planar graphs, the O(n) loop model, the six-vertex model, the q-state Potts model, and solid-on-solid and ADE matrix models.
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12

Chen, Wen Xiang. Relationship Between Cues from Loop Quantum Gravity and Superradiation. Eliva Press, 2021.

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13

Quantum Space: Loop Quantum Gravity and the Search for the Structure of Space, Time, and the Universe. Oxford University Press, 2018.

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14

Baggott, Jim. Quantum Space: Loop Quantum Gravity and the Search for the Structure of Space, Time, and the Universe. Oxford University Press, 2022.

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15

Tarasoff, Lev. Explorations in Quantum Gravity: from one loop effective actions to two-dimensional theories. 1992.

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16

Wüthrich, Christian, Baptiste Le Bihan, and Nick Huggett, eds. Philosophy Beyond Spacetime. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198844143.001.0001.

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The present volume collects essays on the philosophical foundations of quantum theories of gravity, such as loop quantum gravity and string theory. Central for philosophical concerns is quantum gravity's suggestion that space and time, or spacetime, may not exist fundamentally, but instead be a derivative entity emerging from non-spatiotemporal degrees of freedom. In the spirit of naturalized metaphysics, contributions to this volume consider the philosophical implications of this suggestion. In turn, philosophical methods and insights are brought to bear on the foundations of quantum gravity itself. For instance, the idea of functionalism, borrowed from the philosophy of mind and discussed by several chapters, exemplifies this mutual interaction the collection seeks to foster. The chapters of this collection cover three main subjects: first, the potential emergence of spacetime in various approaches to quantum gravity; second, metaphysical and epistemological considerations concerning the nature of this relation of emergence; and third, broader methodological aspects of the philosophy of quantum gravity.
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17

Smeenk, Chris, and Christian Wüthrich. Time Travel and Time Machines. Edited by Craig Callender. Oxford University Press, 2011. http://dx.doi.org/10.1093/oxfordhb/9780199298204.003.0021.

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This chapter examines the logical, metaphysical, and physical possibility of time travel understood in the sense of the existence of closed worldlines that can be traced out by physical objects, arguing that none of the purported paradoxes rule out time travel on the grounds of either logic or metaphysics. More relevantly, modern space–time theories such as general relativity seem to permit models that feature closed worldlines. The chapter discusses what this apparent physical possibility of time travel means, and, furthermore, reviews the recent literature on so-called time machines, of devices that produce closed worldlines where none would have existed otherwise. Finally, it investigates what the implications of the quantum behavior of matter might be for the possibility of time travel, and explicates in what sense time travel might be possible according to leading contenders for full quantum theories of gravity such as string theory and loop quantum gravity.
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18

Pullin, Jorge, Rodolfo Gambini, and Abhay Ashtekar. Loops, Knots, Gauge Theories and Quantum Gravity. Cambridge University Press, 2009.

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19

Pullin, Jorge, and Rodolfo Gambini. Loops, Knots, Gauge Theories and Quantum Gravity. Cambridge University Press, 2000.

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20

Pullin, Jorge, Rodolfo Gambini, and Abhay Ashtekar. Loops, Knots, Gauge Theories and Quantum Gravity. Cambridge University Press, 2011.

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