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1

Rickles, Dean. Symmetry, structure, and spacetime. Elsevier Science Pub, 2008.

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2

1933-, Carmeli Moshe, ed. Relativity: Modern large-scale spacetime structure of the cosmos. World Scientific, 2008.

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3

1933-, Carmeli Moshe, ed. Relativity: Modern large-scale spacetime structure of the cosmos. World Scientific, 2008.

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4

Paolo, Farinella, and Vokrouhlický David, eds. Physics of the solar system: Dynamics and evolution, space physics, and spacetime structure. Kluwer Academic Publishers, 2003.

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5

M, Burko Lior, Ori Amos, and Agudah ha-fisiḳalit le-Yiśraʼel, eds. Internal structure of black holes and spacetime singularities: An international research workshop, Haifa, June 29-July 3, 1997. Institute of Physics Pub., 1997.

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6

S, Letelier P., and Rodrigues W. A, eds. Gravitation: The spacetime structure : proceedings of the 8th Latin American Symposium on Relativity and Gravitation, Aguas de Lindóia, Brazil, 25-30 July 1993. World Scientific, 1994.

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7

Manchak, J. B. Global Spacetime Structure. Cambridge University Press, 2020.

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8

Manchak, J. B. Global Spacetime Structure. Cambridge University Press, 2020.

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9

Rickles, Dean. Symmetry, Structure, and Spacetime. Elsevier Science & Technology Books, 2007.

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10

Symmetry, Structure and Spacetime. Elsevier, 2008. http://dx.doi.org/10.1016/s1871-1774(07)x0300-0.

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11

The structure of random discrete spacetime. Fermi National Accelerator Laboratory, 1990.

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12

Causality Measurement Theory And The Differentiable Structure Of Spacetime. Cambridge University Press, 2010.

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13

Farinella, P., D. Vokrouhlicky, and B. Bertotti. Physics of the Solar System: Dynamics and Evolution, Space Physics, and Spacetime Structure. Springer, 2012.

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14

Waldyr, Alves Jr Rodrigues. Gravitation: The Spacetime Structure Proceedings of the VIII Latin American Symposium on Relativity and Gravitation. World Scientific Publishing Company, 1994.

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15

North, Jill. Physics, Structure, and Reality. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192894106.001.0001.

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How do we figure out the nature of the world from a mathematically formulated physical theory? What do we infer about the world when a physical theory can be mathematically formulated in different ways? Physics, Structure, and Reality addresses these questions, questions that get to the heart of the project of interpreting physics—of figuring out what physics is telling us about the world. North argues that there is a certain notion of structure, implicit in physics and mathematics, that we should pay careful attention to, and that doing so sheds light on these questions concerning what physic
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16

Symmetry, Structure, and Spacetime, Volume 3 (Philosophy and Foundations of Physics) (Philosophy and Foundations of Physics). Elsevier Science, 2007.

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17

Internal Structure of Black Holes & Spacetime Singularities: Proceedings (Annuals of the Israel Physical Society Series, No 13). Institute of Physics Publishing, 1998.

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18

Bertotti, B., P. Farinella, and D. Vokrouhlicky. Physics of the Solar System: Dynamics and Evolution, Space Physics, and Spacetime Structure (Astrophysics and Space Science Library). Springer, 2003.

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19

Bertotti, B., Paolo Farinella, and David Vokrouhlický. Physics of the Solar System: Dynamics and Evolution, Space Physics, and Spacetime Structure (Astrophysics and Space Science Library). Springer, 2003.

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20

Ashtekar, Abhay. Asymptotic Structre Spacetme. University of Cambridge ESOL Examinations, 2000.

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21

Baker, David John. The Philosophy of Quantum Field Theory. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199935314.013.33.

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This is an opinionated survey of some interpretive puzzles in quantum field theory. The problem of inequivalent representations is sketched, including its connections with competing accounts of physical equivalence. The controversy between variant formulations of the theory, algebraic versus Lagrangian, is given a conciliatory resolution. Arguments against particles are addressed, demarcating clearly between different forms of particle interpretation. Field interpretations are then considered, including wavefunctional, spacetime state realist and Heisenberg operator realist interpretations. Ru
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22

North, Jill. A New Approach to the Relational–Substantival Debate. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198828198.003.0001.

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The debate over the existence of spacetime should be seen as one about the fundamentality of spatiotemporal structure to the physical world. This is a non-traditional conception of the debate, which captures the spirit of the traditional one. At the same time, it clarifies the point of contention between opposing views and offsets worries that the dispute is stagnant or non-substantive. It also unearths a novel argument for substantivalism, given current physics. Even so, that conclusion can be overridden by future physics. The chapter concludes that this debate is a substantive one, which the
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23

The Conformal Structure of SpaceTimes Lecture Notes in Physics. Springer, 2010.

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24

Mashhoon, Bahram. Field Equation of Nonlocal Gravity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0006.

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In extended general relativity (GR), Einstein’s field equation of GR can be expressed in terms of torsion and this leads to the teleparallel equivalent of GR, namely, GR||, which turns out to be the gauge theory of the Abelian group of spacetime translations. The structure of this theory resembles Maxwell’s electrodynamics. We use this analogy and the world function to develop a nonlocal GR|| via the introduction of a causal scalar constitutive kernel. It is possible to express the nonlocal gravitational field equation as modified Einstein’s equation. In this nonlocal gravity (NLG) theory, the
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25

Wüthrich, Christian, and Nick Huggett. Out of Nowhere. Oxford University PressOxford, 2025. https://doi.org/10.1093/oso/9780198758501.001.0001.

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Abstract The two fundamental pillars of physics for over 100 years have been quantum theory and general relativity, but their unification at short distances remains elusive, both technically and conceptually. This work is a philosophical investigation of the second kind of problem, and in particular of the striking fact that in many approaches to ‘quantum gravity’ classical spacetime structures are not merely quantized, but arguably absent—so that spacetime is not merely a classical limit, but ‘emergent’. This issue is not only central to the problem of quantum gravity, but of deep significanc
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26

Mules, Warwick. Film Figures. Bloomsbury Publishing Inc, 2024. http://dx.doi.org/10.5040/9781501361241.

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Film Figures develops a figural account of the memory structure of films. Employing theoretical concepts drawn from a range of sources, including French post-humanist philosophy and German Idealism, this book undertakes an organology of film guided by the work of Bernard Stiegler whose philosophy of mnemotechnesis provides a framework of analysis. Situating films in the quantum field of spacetime relativity as a field of cosmic views, Film Figures begins with disturbances in the experience of films themselves, posing questions of the relation between the dead past and the living future in film
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27

Deruelle, Nathalie, and Jean-Philippe Uzan. Cosmological perturbations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0061.

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This chapter describes the first steps toward an understanding of large structures, which are observed in the universe at all scales—galaxies, groups of galaxies, and galactic clusters. It does so by studying the evolution of perturbations at linear order in Friedmann–Lemaître spacetimes. To simplify the discussion, the chapter limits the scope to the textbook case where the spatial sections of the background space are Euclidean (K = 0), and anisotropic perturbations and entropy perturbations are absent. This basically means that the matter reduces to a single fluid. The relativistic and Newto
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28

Chruściel, Piotr T. Geometry of Black Holes. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198855415.001.0001.

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There exists a large scientific literature on black holes, including many excellent textbooks of various levels of difficulty. However, most of these prefer physical intuition to mathematical rigour. The object of this book is to fill this gap and present a detailed, mathematically oriented, extended introduction to the subject. The first part of the book starts with a presentation, in Chapter 1, of some basic facts about Lorentzian manifolds. Chapter 2 develops those elements of Lorentzian causality theory which are key to the understanding of black-hole spacetimes. We present some applicatio
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29

Doran, Connemara. Poincaré’s Mathematical Creations in Search of the ‘True Relations of Things’. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797258.003.0004.

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How did the vast corpus of mathematical innovation of Henri Poincaré (1854–1912) engage the rationale, and impact the fate, of the notion of the ether in physics? Poincaré sought the ‘true relations’ that adhere in the phenomena—relations that persist irrespective of the choice of a metric geometry and a change in physical theory. This chapter traces how Poincaré embedded utterly new geometries and topological intuitions at the heart of pure mathematics, mathematical physics and philosophy. It demonstrates that Poincaré had no ownership of the physicists’ ether concept and that he viewed the e
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30

Mercati, Flavio. Shape Dynamics and the Linking Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0012.

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This chapter explains in detail the current Hamiltonian formulation of SD, and the concept of Linking Theory of which (GR) and SD are two complementary gauge-fixings. The physical degrees of freedom of SD are identified, the simple way in which it solves the problem of time and the problem of observables in quantum gravity are explained, and the solution to the problem of constructing a spacetime slab from a solution of SD (and the related definition of physical rods and clocks) is described. Furthermore, the canonical way of coupling matter to SD is introduced, together with the operational d
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31

Robertson, Katie, and Alastair Wilson, eds. Levels of Explanation. Oxford University PressOxford, 2024. https://doi.org/10.1093/oso/9780192862945.001.0001.

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Abstract The different sciences furnish us with a wide variety of explanations: some work at macroscopic scales, some work at microscopic scales, and some operate across different levels. How do these different explanatory levels relate to one another, and what is an explanatory level in the first place? Over the last fifty years, more and more philosophers—both reductionists and anti-reductionists—have no longer subscribed to the idea that the best explanation resides at the fundamental physical level. New challenges arise from the success of scientific explanations employing multi-level mode
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32

9780192867414, Tom Lancaster, and Stephen Blundell. General Relativity for the Gifted Amateur. Oxford University PressOxford, 2025. https://doi.org/10.1093/oso/9780192867407.001.0001.

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Abstract General relativity is a field theory that describes gravity. It engages profoundly with the nature of space and time and is based on simple ideas from the physics of fields. It can be summarised by the Einstein equation which relates a geometrical quantity, the curvature of space and time that follows from the metric field., to a physical quantity that reflects a field that describes the matter content of the Universe. We begin in Part I with an introduction to the geometry of flat spacetime, reviewing special relativity and setting up the mathematics of the metric. Part II introduces
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