Shape Dynamics
Relativity and Relationalism
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describe situations in which the spacetime picture is no longer adequate, such as in the presence of singularities, when the idealization of infinitesimal rods measuring scales and infinitesimal clocks measuring proper time fails.
This tutorial book contains both a quick introduction for readers curious about Shape Dynamics, and a detailed walkthrough of the historical and conceptual motivations for the theory, its logical development from first principles and a description of its present status. It includes an explanation of the origin of the theory, starting from problems posed first by Newton more than 300 years ago. The book will interest scientists from a large community including all foundational fields of
physics, from quantum gravity to cosmology and quantum foundations, as well as researchers interested in foundations. The tutorial is sufficiently selfcontained for students with some basic background in Lagrangian/Hamiltonian mechanics and General Relativity.
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Utgitt:
2018
Forlag: Oxford University Press
Innbinding: Paperback
Språk: Engelsk
ISBN: 9780198789482
Format: 25 x 17 cm
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«Shape Dynamics is a new theory of gravity based on fewer and arguably more fundamental principles than the general theory of relativity. It reproduces all of the hitherto confirmed predictions of Einstein's theory but is much more restrictive in the solutions that it allows. Besides being therefore a more strongly predictive theory, it also reveals new aspects of gravity that have the potential to transform our understanding of the Big Bang and black holes. Flavio Mercati has been actively involved with the recent exciting developments of Shape Dynamics. His monograph includes a valuable account of the historical background to the theory and its conceptual underpinnings. It is an excellent introduction suitable for readers of a wide range of abilities: from physics and mathematics undergraduates, to active gravitational and cosmological researchers.»
I. Historical Motivation
2: Newton's bucket
3: Origins of the MachPoincare Principle
II. Relational Particle Dynamics
4: BarbourBertotti best matching
5: Best matching: Technical details
6: Hamiltonian formulation
III. Relational Field Theory
7: Relativity without Relativity
8: York's solution to the initialvalue problem
9: A derivation of Shape Dynamics
10: Cottonsquared theory
IV. Shape Dynamics
11: Historical interlude
12: Shape Dynamics and the Linking Theory
13: Solutions of Shape Dynamics
V. Appendices
A: ArnowittDeserMisner Gravity
B: Other appendices
Mercati has published around 30 scientific articles and three essays. In 2015 he won the Buchalter Prize for Cosmology for his research on the arrow of time. This work has received considerable attention by the media, leading to interviews by popular science journals like Wired, Scientific American, Le
Scienze and Discovery News.