Einstein s Unification 1st Edition by Jeroen van van Dongen – Ebook PDF Instant Download/Delivery: 1139649329, 9781139649322
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Product details:
ISBN 10: 1139649329
ISBN 13: 9781139649322
Author: Jeroen van van Dongen
Einstein s Unification 1st Table of contents:
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Background: The Need for Unification
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Problems with classical physics and the separation of forces
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The pursuit of a unified description of gravity and electromagnetism
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The significance of mathematical elegance in physical laws
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General Relativity: The Foundation of Gravity
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A brief overview of Einstein’s General Theory of Relativity
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Gravity as the curvature of spacetime
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Einstein’s equations and the geometric nature of gravity
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Electromagnetism and the Maxwell Equations
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The classical theory of electromagnetism
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Unification efforts between electric and magnetic fields
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The connection between electricity and magnetism in the electromagnetic field
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Einstein’s Early Attempts at Unification (1915–1925)
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Initial thoughts on unifying gravity and electromagnetism
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The role of the Ricci tensor and other mathematical constructs in early theories
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Correspondence with other physicists (e.g., Hermann Weyl, David Hilbert)
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The Role of Symmetry in Physics
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The concept of symmetry and its relationship to physical laws
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Gauge symmetry and the beginnings of field theory
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Symmetry groups and their implications for unification
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The Tensorial Approach to Unification
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The introduction of the unified field equations
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Einstein’s use of higher-dimensional space-time constructs
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Problems and challenges in unifying the forces mathematically
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Quantum Mechanics and the Limitations of Classical Theories
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The rise of quantum mechanics in the early 20th century
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The incompatibility between quantum mechanics and general relativity
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The need for a quantum theory of gravity
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Einstein’s Unified Field Theory (1920s–1950s)
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The transition from General Relativity to a unified field theory
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The introduction of the concept of a “unified field”
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Work on the Kaluza-Klein theory and higher dimensions
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The problems with non-linearities and mathematical inconsistencies
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The Einstein-Hilbert Lagrangian and Field Equations
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The derivation of field equations from variational principles
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Attempts to extend field theory to include electromagnetism
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Challenges in linking electromagnetism to gravitation within a single framework
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Later Developments and Collaborations (1940s–1950s)
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Einstein’s final attempts and correspondence with other physicists
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The relationship between unified field theory and quantum electrodynamics
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The impact of the development of the Standard Model of particle physics
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Legacy and Influence
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Einstein’s lasting impact on theoretical physics
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Theoretical and experimental challenges in modern attempts at unification
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The continued relevance of Einstein’s unified field theory ideas in string theory and beyond
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