David Edwards
 
Blog:
http://davidaedwards.tumblr.com
Email:
davide@math.uga.edu
Alternate email if this isn't working: racquetballer46@yahoo.com
Mail: David Edwards 
Department of Mathematics
University of Georgia
Athens, GA, 30602
USA


The following is a book I'm working on:

Unity, Disunity and Pluralism in Science

The following are papers on the foundations of Statistical Mechanics, Quantum Mechanics, Quantum Field Theory, Unified Field Theories, and Quantum Geometrodynamics:

Phase transitions and Critical Phenomena
unpublished

The Mathematical Foundations of Quantum Mechanics
published as: http://www.springerlink.com/content/g047367766j30t07/

The Mathematical Foundations of Quantum Field Theory
published as: http://www.springerlink.com/content/m474808n785m3491/

Einstein's Dream
Lecture notes of lecture given at the international conference The Nature of Reality honoring the 150th birthday of Tagore, held at the Indian Institute for Advanced Study in Shimla, India, March 4-6, 2012.

Atomic Discourse in the Feynman Lectures on Physics
published as: http://www.springerlink.com/content/v60l01k93n272141/

The Structure of Superspace
published in: Studies in Topology, Academic Press, 1975
(This paper is related to Wheeler's notions of quantum geometrodynamics; it includes my defining a complete metric on the space of isometry classes of compact metric spaces-it was later rediscovered by Gromov and is called the Gromov metric.)


The following is a survey article and book on pro-homotopy theory and lecture notes on Adelic Homotopy Theory:

Čech Theory: Its Past, Present and Future
published in: The Rocky Mountain Journal of Mathematics, 1976

Čech and Steenrod Homotopy Theories with Applications to Geometric Topology
Spring Lecture Notes in Mathematics, 1976

Adelic Homotopy Theory
circulated lecture notes, 2010

The following are three unpublished works on the Atiyah-Singer Index Theorem and related topics:

The Index Program for K-Theory with Local Coefficients

Lectures on Index Theory: Lecture I Operator Theory and Topology
circulated notes, IAS, 1971

Lectures on Index Theory: Lecture II Index Theory for Toeplitz Operators
circulated notes, IAS, 1971

The following are papers on the foundations and philosophy of mathematics and category theory:

The Category of Categories as a Model for the Platonic World of Forms
circulated notes, Battelle Memorial Institute, 1968

Aesthetic Considerations in the Foundations of Mathematics
circulated notes, Battelle Memorial Institute, 1968

The following is a paper on the psychology of perception:

Modern Physics and Gibsonian Psychology
published as: Some Gibsonian perspectives on the ways that psychologists use physics

Psychology and physics: A reply to our critics

The following are papers on patent law:

Platonism Is the Law of the Land

Is the US patent system too restrictive?

Work in Progress:

Is Mathematics Invented or Discovered?

Aristotle's Mistake

Big Bang Model

Lecture on Einstein's UNIFIED FIELD THEORY

Post retirement flourishing

THE MATH MYTH
published as: Revolutionary Implications (edited; shorter)

Mathematics and Logic

Remarks:

Remarks on The Hard Problem of Consciousness

Generalizations of Quantum Logic

Hyperfunction Geometry

Padic Homotopy Theory

Pauli was Wrong

The Purpose of Life

There are three styles of knowing

Perspectivism

Superposition

In Principle vs In Practice


Direct questions and comments to davide@math.uga.edu