Towards a Unification of the Laws of Physics in Classical Fields Theory

1. Auflage 2026
ISBN: 978-1-78630-908-2
Verlag: Wiley

Buch, Englisch, 368 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 694 g

The unification of the laws of physics – a legitimate and long-standing aspiration – is undertaken here using the framework of discrete mechanics. Towards a Unification of the Laws of Physics in Classical Fields Theory extends these concepts to classical field physics.

This book examines and revisits the fundamental principles of physics to derive a unified law of motion capable of modeling the phenomena observed, which are currently described by disparate laws. The global reference frames of classical mechanics and relativity are abandoned: space is defined from a one-dimensional local reference frame, and time is considered discrete. Applying the principle of parsimony to the derivation of this single law leads to the rejection of many concepts from classical mechanics and relativity, retaining only proper acceleration as the sole absolute quantity.

The construction of this unified law of motion paves the way for a rational resolution of phenomena relating to mechanics, special and general relativity, electromagnetism and, more broadly, physics as a whole

Autoren/Hrsg.

Caltagirone, Jean-Paul

Fachgebiete

• Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Naturwissenschaften Physik Physik Allgemein

Inhaltsverzeichnis

Preface xi

List of Symbols xv

Chapter 1 Objections and Rebuttals of Current Laws 1

1.1. Discussion on the general concepts 1

1.1.1. Choosing a three-dimensional space 1

1.1.2. Galileo’s law of free-falling bodies 2

1.1.3. Uniform rotation, a Galilean motion 2

1.1.4. Galileo and Lorentz invariants 5

1.1.5. Distinction between velocity and celerity 6

1.1.6. Space–time or space and time? 7

1.2. Objections to the equations of classical mechanics 8

1.2.1. Equations of mechanics 8

1.2.2. Divergence and curl operators 10

1.2.3. The Stokes relation, an erroneous assumption 11

1.2.4. Non-relativistic equations 12

Chapter 2 A Different View of Space and Time 15

2.1. Maxwell’s local frame of reference 15

2.2. Length and time 17

2.3. The local notion of vector in an n-dimensional space 18

2.3.1. The example of the gravity vector 20

2.3.2. Vector precession 21

2.4. Acceleration, velocity and celerity 22

2.4.1. Velocity limits 23

2.4.2. Adding velocities 25

2.5. Galileo and Lorentz transformations 26

2.6. The genesis of a unified law 27

2.6.1. The principle of parsimony or Ockham’s razor 27

2.6.2. Extension of Galileo’s principle of inertia to rotation 29

2.6.3. Interpretation of the WEP 32

2.6.4. Concept of physical homology 36

2.7. Mass or energy 36

2.7.1. Energy per unit mass 37

2.8. The quantities of a unified physics 38

2.8.1. Historical background 38

2.8.2. From the international system to the unification of units 39

2.8.3. Unified variables 39

2.8.4. Unified potentials 40

2.8.5. Curvature of physics potentials 43

2.9. A one-dimensional model of space and time 45

2.9.1. Representation of space in the equations of physics 45

Chapter 3 Unified Law of Motion 49

3.1. Dynamics of accelerated motions 49

3.2. Dynam

Über Autor(innen)

Jean-Paul Caltagirone is Professor Emeritus at the National Polytechnic Institute of the University of Bordeaux, France. His research focuses on the conservation of acceleration in the field of mechanics, the basis of discrete mechanics, which has now been extended to all classical field physics.