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*unpublished*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 150^{th} 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 are a survey article and a 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The following are three unpublished works on the Atiyah-Singer Index Theorem and related topics: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__
__What should you do when you don't have to do anything?__
__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__ |