Homer Ellis’ Home Page

Last update: 1 December 2012

The long-standing primary goal of my research is to explain as many as possible (prospectively, all) of the phenomena of physics as hidden properties of space brought to light by careful examination of its geometry. By ‘space’ I mean three-dimensional space described by differential geometry, the geometry of Riemann in particular. All dimensions beyond the three dimensions of space (the time dimension in space-time, for one) are to be found inherent in the geometry of space. The program has produced among others the following striking results:

• A horizonless, singularity-free, geodesically complete, ‘drainhole’ model for spherically symmetric gravitational fields that is better than the standard ‘black hole’ model.
• A five-dimensional unified field theory able to model qualitatively (and quantitatively to an extent not yet fully explored) many of the phenomena thought to be explainable only by quantum theory.
• A replacement for the standard cosmological model which fits well the observational data and almost effortlessly provides a unified explanation for inflation, deceleration, acceleration, dark matter, and ‘dark energy’.

Papers presenting these results:

• Ether flow through a drainhole: A particle model in general relativity, Journal of Mathematical Physics 14, 104–118 (1973); Errata: 15, 520 (1974).
• Time, the grand illusion, Foundations of Physics 4, 311–319 (1974); Erratum: 5, p. 193 (1975).
• Space-time–time: Five-dimensional Kaluza–Weyl space (http://arxiv.org/abs/gr-qc/0107023).
• Quantum effects from a purely geometrical relativity theory, Journal of Physics: Conference Series 24, 225–230 (2005).
• Cosmic acceleration, inflation, dark matter, and dark ‘energy’ in one neat package (http://arxiv.org/abs/gr-qc/0701012v3);
  revised to
  Cosmic inflation, deceleration, acceleration, dark matter, and dark ‘energy’ in one coherent package (http://arxiv.org/abs/gr-qc/0701012v4);
  further revised as
  Cosmic inflation, deceleration, acceleration, dark matter, and dark ‘energy’ in one coherent package (see below).

To see electronic versions of these and others of my relativity papers, follow the links below.

Relativity Papers Cosmic Inflation, Deceleration, Acceleration, Dark Matter, and Dark ‘Energy’ in One Coherent Package Cosmic Acceleration, Inflation, Dark Matter, and Dark ‘Energy’ in One Neat Package Time, the Grand Illusion Space-Time–Time Space-Time–Time: Five-Dimensional Kaluza–Weyl Space Quantum Effects From a Purely Geometrical Relativity Theory An Expanding Universe of Spinning Spheres

Einstein's Real “Biggest Blunder” Explain Cosmic Acceleration? First, Correct Einstein Ether Flow Through a Drainhole: A Particle Model in General Relativity The Evolving, Flowless Drainhole: A Nongravitating-Particle Model in General Relativity Theory Darkholes: Nicer Than Blackholes–With a Bright Side, Too (Does Energy Produce Gravity?) Leptons Might Not Generate Gravity The Warp Drive and Antigravity

Mathematica Notebooks CosmicEvolution.new CosmicEvolution.old

SampleRun.new SampleRun.old

Calculus Course

Mathematics 2300: Analytic Geometry and Calculus 2

 

Relativity Course

Mathematics 8250: Mathematical Theory of Relativity I

 

DeLong Lectures

Current and recent lectures (2003-2004 to present)

 

Contact Information:

Postal address:

• Department of Mathematics
• University of Colorado at Boulder
• 395 UCB
• Boulder, CO 80309-0395

Telephones:

• 303 492 7754 (office)
• 303 492 7664 (department)
• 303 492 7707 (fax)