1.1 Rucker, Rudy B. The Fourth Dimension
Toward a Geometry of a Higher Reality
Houghton Mifflin
1984 ISBN 0-395-34420-4
 1.2 Rucker, R.B. Geometry, Relativity and the 4th Dimension Dover Publications
1977 ISBN 0-486-23400-2 N.Y, N.Y
 1.3 Hinton, Charles H.
Rucker, R.B.
Speculations on the 4th Dimension Dover Publications
1980 ISBN 0-486-23916-0 N.Y., N.Y.
 1.4 Ohanian, Hans
Ruffini, Remo
Gravitation and SpaceTime (2nd Ed.) Norton & Co.
1976,1994 ISBN 0-393-96501-5 N.Y.,N.Y.
 1.5 Whitrow, G.J. The Structure & Evolution of the Universe Harper Torchbooks
 1.6 Whitrow, G.J What is Time? (deSitter Space) Thames & Hudson
1972 ISBN 0-500-01085-4 London
 1.7 Whitrow, G.J. The Natural Philosophy of Time Clarendon Press
  1980 ISBN 0-19-858212-9 Oxford
 1.8 Appelquist, Thomas Modern-Kaluza-Klein Theories Addison Wesley
  1987 ISBN 0-201-09829-6
 1.9 Zuckerkandl, Victor Sound and Symbol: Music and the External World

Trans. Willard R. Trask
Pantheon Books
Princeton University Press

  1956   New York, NY
Princeton, NJ

 2.1 Synge, J.L. Quaternions, Lorentz Transformations, and the Conway-Dirac-Eddington Matrices Dublin Institute for Advance Studies
 2.2 Pearl, E.R. Representations of the Lorentz Group and Perspective Geometry Mathematisch Centrum Amsterdam
 2.3 Carmeli, Moshe Group Theory and General Relativity representations of the Lorentz Group and their applications to the Gravitational Field McGraw-Hill
1977 Great Britain
 2.4 O'Neill, Barrett Elementary Differential Geometry Academic Press
1966   London
 2.5 Belinfante, F.J A Survey of Hidden-Variable Theories Pergamnon Press
1973 ISBN 0-08-017032-3 Oxford

 3.1 Matts Roos Introduction to Cosmology Wiley & Sons
1994,97 ISBN 0-471-97383-1 NY,NY
 3.2 Marion & Thornton Classical Dynamics of Particles & Systems Harcourt College Publications
1995 ISBN 0-03-097302-3 Sand Diego
 3.3 Griffiths, David J. Introduction to Electrodynamics Prentice Hall
1981,99 ISBN 0-13-805326-X New Jersey
 3.3.1 pg 522 Section 12.3.1 - Magnetism as a Relativistic Phenomenon Reprint
 3.4 Krane, Kenneth Modern Physics Wiley & Sons
1996 ISBN 0-471-82887-6 NY,NY
3.4.1 pg 450 Table 14.1 - The Four Basic Forces
3.4.2 pg 223 Section 7.5- Intrinsic Spin
 3.5 Liboff, R.L Introductory Quantum Mechanics Addison-Wesley
1998 ISBN 0-201-87879-8 NY,NY
3.5.1 pg 369 Section 9.1 - Basic Properties / Orbital Versus Spin Angular Momentum
3.5.1 pg 527 Section 11.6 - The Pauli Spin Matrices
3.5.3 pg 534 Section 11.8 - The Magnetic Moment of an Electron
 3.6 Coughlan & Dodd The Ideas of Particle Physics Cambridge University Press
1984,94 ISBN 0-521-38672-2  
 3.7 Greene, Brian The Elegant Universe Norton & Co
1999 ISBN 0-393-04688-5 NY,NY
 3.8 Wesson, P.S Space - Time -Matter
Modern Kaluza-Klein Theory
World Scientific
1999 ISBN 981-02-3588-7 New Jersey
 3.9 Feynman, R.P. The Feynman Lectures on Physics Addison-Weseley
1963,64,65 ISBN 0-201-02116-1-P,-02117-X-P,-02118-8-P New Jersey
3.9.1 pg 3. Vol III, Section
 3.10 Feynman, R.P. Quantumelectrodynamics (QED) Princeton U. Press
1985 ISBN 0-691-02417-0 New Jersey
 3.11 Feynman, R.P. QED in New Zealand (Vols 1-4)
The '79 Sir Douglas Robb Lecture Videos
Scientific Consulting Services
1979 ISBN 1-58490-021-0 Cal Tech
3.12 Pathria, R.K. Statistical Mechanics Pergamon Press
1972 LoCCC No. 73-181690 Oxford, UK
3.12.1 pg 134 Fig 5.1 - Statistical Potential
3.13 Huang, Kerson Statistical Mechanics John Wiley & Sons
1963 UCI QC 175 H8 New York, USA
3.13.1 pg 217 Fig 10.3 - Statistical Potential

 4.1 Foley & vanDam Computer Graphics - Principles and Practice Addison-Weseley
1987,90 ISBN 0-201-12110-7 NY,NY
 4.2 Savitch, W. JAVA - An Introduction Prentice Hall
1999 ISBN 0-13-287426-1 New Jersey
 4.3 Schildt, H. Java 2 - The Complete Reference McGraw-Hill
2001 ISBN 0-07-213084-9 Berkeley
 4.5 Bhangal,Farr & Rey Foundation Flash 5 Friends of Ed
2000 ISBN 1-903450-31-4 Birmingham,UK

5.1 Einstein, Albert Relativity, the special and general theory. Pi Press
2005 ISNB: 0-13-186261-8 NY


CAD - "Computer Aided Design". A CAD software package is used to view and edit 2D representations of 3D objects. 3D objects are projected into 2D representation via various 3D to 2D transforms as selected by the operator. The most common transforms include Orthogonal, Perspective, and Isometric views, among others.

EMF and Gravity - Electro Motive Force, the force due to electrical potential, and Gravity, the force due to a gravity potential are both forces that obey identical laws, except for their respective scales and 'charge'. EMF has two different charges, and gravity has only one charge. Why are these forces different?

Galileian System of Coordinates - A system of coordinates of which the state of motion is such that the law of inertia holds relative to it.[5.1]

GUT's - Grand Unified Theory.

The Hierarchy Problem - The difference in the scale or strength of the forces of nature, specifically between Gravity and the other 3 forces (Strong, EMF, and Weak). More here.

Intrinsic Spin - If the Magnetic Moment of electrons was due to their physical rotation, then they must rotate faster than the speed of light. Since we know this is impossible, our theories must include an explanation for the spin of the electron. Contemporary QM explains the electron's spin as an intrinsic property of the particle: i.e. - God made it that way.

Intuitive Grasp - The understanding of a concept or operation such that cognitive thought is not necessary to manipulate the concept (or its symbol). The concept itself becomes internalized as a fundamental principle. [LUT processing?] Like walking or talking in your native language.

LUT Processing - Look Up Table Processing. It has been suggested that intuitive understanding comes from personal LUT created in memory by experience. Thus we understand how to hit a baseball with a bat because we remember hitting many baseballs, and can interpolate between prior similar pitches to extrapolate when and how to swing the bat. Practice-practice-practice.

The Missing Mass - In order for galaxies to rotate at the speed that astronomers observe, they need to be composed of 10 times as much mass as we can see. Sometimes referred to as Dark Matter since it does not shine like the star(s) we know. More here

Particles vs. Waves,

QM - Quantum Mechanics,

TOE's - Theory Of Everything.

TOOLBOX - Useful Internet Resources

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A work in progress ...

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    This Applet requires JAVA 2. Here is where to get it.

Community Features:
    Provide eMail link (no address - ask for it)
    Provide Chat room link(IRCd?)
    News Server Link (NNTP?)

Additional 4D Viewer Features:
    1) Standardize Rotation Code (done)
    2) Label selected vertices (done)
    3) Automated Rotations (done)
    4) 3D cross sections. (begun)
    5) WxX projection along Y axis.(begun)
    6) Other 4D objects.(begun)
    7) Use Dithering for probability.
    8) Use shading for the W axis.
    9) Hook 'amplitude' to the W axis.
    10) Use alternate metrics for W,
        e.g. - Cylindrical, Hyperbolic, Spherical, Elliptical, as well as Infinite.
    11) Try 4D & 5D rotations (intrinsic spin interpretation)
    12) Interpret W as Time (Create animations of 3D sections along W axis)
    13) Add Time axis (1+4D & 1+5D)


This website is brought to you by Edutech Project, an educational resource of Digital ChoreoGraphics. Copyright 2002
Don V Black