Shape Dynamics: Relativity and Relationalism 1st edition

Shape Dynamics: Relativity and Relationalism 1st edition- Ebook Instant Download/Delivery ISBN(s): 9780198789475,0198789475,9780192506603, 0192506609

Product details:

• ISBN-10 ‏ : ‎ 0192506609
• ISBN-13 ‏ : ‎ 9780192506603
• Author: Flavio Mercati

This textbook on the nature of space and time explains the new theory of Space Dynamics, which describes the dynamics of gravity as the evolution of conformal 3-dimensional geometry. Shape Dynamics is equivalent to Einstein’s General Relativity in those situations in which the latter has been tested experimentally, but the theory is based on different first principles. It differs from General Relativity in certain extreme conditions. Shape Dynamics allows us to 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.

Table contents:

1 Introduction

2 Newton’s Bucket

3 Origins of the Mach–Poincaré Principle

4 Barbour–Bertotti Best Matching

5 Best Matching: Technical Details

6 Hamiltonian Formulation

7 Relativity Without Relativity

8 York’s Solution to the Initial-Value Problem

9 A derivation of Shape Dynamics

10 Cotton-Squared Theory

11 Historical Interlude

12 Shape Dynamics and the Linking Theory

13 Solutions of Shape Dynamics

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