Five-Dimensional Physics

The following sections are included:

• PREFACE

• CONTENTS

The following sections are included:

• Introduction

• Dimensions Then and Now

• Higher-Dimensional Theories

• Field Equations in N ≥ 4 Dimensions

• A Primer on Campbell's Theorem

• Conclusion

• References

The following sections are included:

• Introduction

• Flat 5D Universes

• The Singularity as a Shock Wave

• A Bounce Instead of a Bang

• The Universe as a 5D Black Hole

• Conclusion

• References

The following sections are included:

• Introduction

• Dynamics in Spacetime

• Fifth Force from Fifth Dimension

• Null Paths and Two Times

• The Equivalence Principle as a Symmetry

• Particle Masses and Vacua

• Conclusion

• References

The following sections are included:

• Introduction

• 4D Uncertainty from 5D Determinism

• Is Mass Quantized?

• The Klein-Gordon and Dirac Equations

• Gauges and Spins

• Particles and Waves: A Rapprochement

• Conclusion

• References

The following sections are included:

• Introduction

• The 5D Cosmological “Constant”

• Astrophysical Consequences

• Vacuum Instability

• Mach's Principle Anew

• Conclusion

• References

The following sections are included:

• Introduction

• Embeddings and Physics

• The Algebra of Embeddings

• The Campbell-Magaard Theorem

• Induced-Matter Theory

• Membrane Theory

• Conclusion

• References

“Given for one instance an intelligence which could comprehend all the forces by which nature is animated and the respective positions of the beings which compose it, if moreover this intelligence were vast enough to submit these data to analysis, it would embrace in the same formula both the movements of the largest bodies in the universe and those of the lightest atom; to it nothing would be uncertain, and the future as the past would be present to its eyes” (Pierre Laplace).

The following sections are included:

• INDEX