Math and Physics
"Dr. Albert" at the Wesleyan University Graduation Ceremonies
May,2006
-
April 28, 2015:
Effectively Infinite Sets:
Coping with Infinity in Modern Physics
(doc)
(docx)
(pdf)
Notes and Commentary for a Seminar on
"Mathematical errors
in the foundations of Statistical Mechanics
and how to correct them"
(docx)
(doc)
(pdf)
- April 7,2012
Observations on the Hubble Expansion of the Universe(pdf)
(docx)
(doc)
(htm)
- August, 2011
On spontaneous changes in the speed of light (pdf)
(docx)
(doc)
Many consequences are drawn from this basic thesis:"It is impossible by
any means to design an experiment, within the universe described by
Special Relativity, that can detect any change in the speed of light".
-
Irreversible Motion in One Dimension:
An exercise in teleogeometryIrreversibility (doc file)
Irreversibility(pdf file)
-
Dynamical Systems and Ordinal Arithmetic:
The classification of general functions on the real lineOrdinal Maps (doc)
Ordinal Maps (pdf)
-
Dynamics of Iterate sets of real numbers in basis representations (1983)
n-cimals (pdf) -
A Model for a Double-Intersection Projective Geometry
Geometry (doc)
Geometry(pdf) Postscript,
March 21:2010. A few paragraphs have been adjoined at the end,
suggesting ways in which this construction could be extended to variants
in elliptic and hyperbolic non-Euclidean spaces.
Lecture Notes
Mathematical
Fractures in the Foundations of Statistical Mechanics. Notes for a talk
in the mathematics department of the University of Illinois at Chicago,
October 2013
-
Lecture notes from a seminar on
The Dirac Equation of the Electron
Dirac Equation (doc)
Dirac Equation(pdf) -
Lecture notes from a seminar on Spinors
Rotation Groups of Physics -
Lecture notes from a seminar on Vector Fields
Vector Fields -
Set Theory, the Zermelo-Fraenkel Axioms, and Form in Science and Art
(Updated December 21,2007):
Zermelo-Fraenkel(pdf)
- Time measurement in empirical and conceptual Space-time models:
Non-Metrizable Time -
Generalizing Set Theory:
Russell's Paradox and the Isostructure Theorem -
Framing Questions in Quantum Physics:
A.Quantum Question Theory
B.Time Derivatives and Uncertainty -
Descartes/Huyghens from an advanced standpoint:
A.Two Trains and a Fly
B.The Restricted Collision Theorem
C.The General Collision Theorem
- On the Inequivalence of Inertial and Gravitational Mass
Inequivalence(docx)
(doc)
(pdf)
Mechanics in special manifolds:
A on-going series of communications on reference frames in Special Relativity, General Relativity, and All-Over-The-Place Relativity!
- New! August 16, 2014
Absolute versus Relative Motion(docx)
(pdf)
-
Between Special and General Relativity:
Rest Observers and Reference Frames
(docx)
"
(pdf)
-
Gravity on the 2-Cone
- 3-Cone Gravity, the Hubble field and dark energy
-
Relative Motion on 2-Manifolds (pdf);(doc);
(docx)
- On Inertial Paths, Frames and Groups (docx);(doc);(pdf)
-
Galilean Relativity
and the group structure of Inertia (docx)
;(doc);(pdf)
- On random versus systematic Uncertainty:
Quantum Astronomy and the Big Bang (html);(pdf)
- The
Paradoxes of Zeno, as seen by:
Peter Lynds
- Knot Theory in the:
Hydrodynamics of Bus Boarding(html);(pdf)
- Logical finitism in physics:
Barrier Theory(pdf)
- Measuring irreversible time in irreversible time, with consequences:
Topological Paradoxes of Time Measurement
- Speculations on Kuhnian relativism:
On Counter-Intuitive Science(.pdf)
Table (.pdf)
- Heraclitus versus Empedocles revisited:
Thoughts on Gravitation -
Book Review:
The Road to Reality
Roger Penrose, Alfred Knopf.2005
Return to
Home