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)
ncimals (pdf) 
A Model for a DoubleIntersection 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 nonEuclidean 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 ZermeloFraenkel Axioms, and Form in Science and Art
(Updated December 21,2007):
ZermeloFraenkel(pdf)
 Time measurement in empirical and conceptual Spacetime models:
NonMetrizable 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 ongoing series of communications on reference frames in Special Relativity, General Relativity, and AllOverThePlace 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 2Cone
 3Cone Gravity, the Hubble field and dark energy

Relative Motion on 2Manifolds (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 CounterIntuitive Science(.pdf)
Table (.pdf)
 Heraclitus versus Empedocles revisited:
Thoughts on Gravitation 
Book Review:
The Road to Reality
Roger Penrose, Alfred Knopf.2005
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