Modern Mathematical Models of Time and their Applications to Physics and Cosmology

1. The Approaches to Cosmology Gravitation and Time in General Relativity

   1. Gravitation and Time in General Relativity

      1. Einstein’s Greatest Mistake?

         • P. C. W. Davies

         Pages 219-227

      2. Time, Space and Complex Geometry

         • R. Penrose

         Pages 229-229

      3. Discrete Spatial Scales in a Fractal Universe

         • D. F. Roscoe

         Pages 231-248

      4. Possible New Properties of Gravity

         • Tom Van Flandern

         Pages 249-261

      5. On the Cosmic Limits of Physical Laws

         • Leopold Halpern

         Pages 263-268

      6. Changes in Concepts of Time from Aristotle to Einstein

         • Mendel Sachs

         Pages 269-281

      7. On the Transmutation and Annihilation of Pencil-Generated Spacetime Dimensions

         • Metod Saniga

         Pages 283-290

2. Nuclear and Particle Physics Mathematical Models and Methods

   1. Front Matter

      Pages 291-291

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   2. Nuclear and Particle Physics

      1. Particles, Space, and Time

         • Vincent Icke

         Pages 293-311

      2. Time Anisotropy and Quantum Measurement: Clues for Transcending the Geometric Picture of Time

         • Avshalom C. Elitzur

         Pages 313-319

      3. 3-D Period Doubling and Magnetic Moments of Particles

         • Ari Lehto

         Pages 321-328

      4. Relics of the Primordial Origin of Space and Time in the Low Energy World

         • C. Wolf

         Pages 329-346

      5. Unexplained Empirical Relations among Certain Scatterings

         • L. W. Morrow

         Pages 347-351

      6. Spherical Rotation, Particles and Cosmology

         • Martin Kokus

         Pages 353-356

   3. Mathematical Models and Methods

      1. A Non-Linear Model for Time

         • Carl L. Devito

         Pages 357-369

      2. Defining Spacetime

         • W. M. Stuckey

         Pages 371-374

      3. Some Elementary Geometric Aspects in Extending the Dimension of the Space of Instants

         • A. P. Pitucco

         Pages 375-385

      4. Fisher Information as a Measure of Time

         • B. R. Frieden

         Pages 387-391

3. Back Matter

   Pages 393-396

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The nature of time has long puzzled physicists and philosophers. Time potentially has very fundamental yet unknown properties. In 1993 a new model of multi-dimensional time was found to relate closely to properties of the cosmological redshift. An international conference was subsequently convened in April 1996 to examine past, current and new concepts of time as they relate to physics and cosmology. These proceedings incorporate 34 reviews and contributed papers from the conference. The major reviews include observational properties of the redshift, alternative cosmologies, critical problems in cosmology, alternative viewpoints and problems in gravitation theory and particle physics, and new approaches to mathematical models of time. Professionals and students with an interest in cosmology and the structure of the universe will find that this book raises critical problems and explores challenging alternatives to classical viewpoints.

• Cosmology
• Gravity
• Potential
• Relativity
• Universe
• general relativity

• Department of Astronomy, University of Arizona, Tucson, USA

  W. G. Tifft, W. J. Cocke

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