- The
Infinite Fractal Universe

A brief manifesto that puts the paradigm of an infinite self-similar cosmos into historical context.

- The
Self-Similar Cosmological Model: Introduction and Empirical Tests

*International Journal of Theoretical Physics*,**28**(6), 669-694, 1989.

Part 1 of an introductory review of the Self-Similar Cosmological Model, emphasizing the basic ideas and many retrodictive tests.

- Self-Similar Cosmological Model: Technical Details, Predictions, Unresolved Issues, and Implications

*International Journal of Theoretical Physics*, Vol. 28, No. 12, 1503-1532, 1989.

Second part of a review of The Self-Similar Cosmological Model. See Paper 1 for part one.

- A
Fractal Universe?

Non-technical discussion of hints that nature might have a fractal structure with discrete self-similarity.

- Successful Predictions of Three Stellar Scale Enigmas

*International Journal of Theoretical Physics*,**35**(12), 2475-2481, 1996.

This paper demostrates the predictive power of the Self-Similar Cosmological Model. Three stellar scale mysteries: (1) an unexpected cutoff in the stellar mass function, (2) the unexpected discovery of planets orbiting neutron stars, and (3) the surprising result that Dark Matter objects of about 0.2 solar masses make up at least 50% of the Galaxy, were predicted by the fractal cosmological paradigm.

- Mass
Estimates for Galactic Dark Matter Objects as a Test of a Fractal Cosmological Paradigm

*Fractals*,**10**(1), 27-38, 2002.

An updated review (see 11 for an earlier review) of mass estimates for galactic dark matter objects (MACHOs). The estimates come primarily from gravitational microlensing experiments. The data are consistent with predictions of the Self-Similar Cosmological Paradigm. Trends in the data are discussed, as well as empirical support for a predicted correlation between stellar mass functions and dark matter mass functions.

- An
Apparent Gap in the Stellar Mass Distributions at ≈
0.7M
_{¤}and a Possible Explanation

*Astrophysics and Space Sciences*,**278**, 423-430, 2001.

The Self-Similar Cosmological Paradigm definitively predicts that stellar mass functions have anomalous deficits at about 0.73M_{¤}. This prediction is based on the fact that there are no atoms with masses of 5 atomic mass units, hence a gap in the atomic mass function. Mass functions for several stellar samples appear to have the predicted deficit. Prospects for further testing of this prediction are considered.

- Critical
Prediction of the Self-Similar Cosmological Paradigm: Anomalously Few Planets Orbiting Red Dwarf Stars

*New Advances in Physics***3**(2), 55-59, 2009.

The Self-Similar Cosmological Paradigm predicts that lowest mass M-dwarf stars have anomalously few planetary companions, data so far support this prediction.

- The
Legend of Cosmological Homogeneity

Various lines of evidence suggest that on the largest scales the structure of the cosmos is fractal, not homogeneous.

- Janus-Faced
Cosmology

*Sky and Telescope*, April, 1998.

Discusses the contradiction between the overly optimistic public face of cosmology and the real situation in the field, where we cannot even give a basic description of the cosmos because 90% to 99% of its composition is enigmatic "dark matter". And that is just for starters.

- M-Set
as Metaphor

*Physics Education*, p. 433, September, 2001.

Fractal cosmology for English majors; the beauty and infinite wonders of the Mandelbrot set.

- Hadrons as Kerr-Newman Black Holes
*Journal of Cosmology***6**, 1361-1374, 2010*.*

[pdf version]

The possibility that the proton and other hadrons might be successfully modeled in terms of Kerr-Newman charged black holes is considered. The SSCP prediction that the gravitational interaction for the Atomic Scale is about 10^{38}times stronger than for the Stellar Scale passes two important retrodictive tests.

- Discrete Scale Relativity

*Astrophysics and Space Science*, 311(4), 431-433, October 2007.

[pdf version]

The discrete cosmological self-similarity observed in nature is discussed in terms of conformal symmetry and discrete dilation invariance. An extension of the Principle of General Covariance and a further generalization of General relativity are considered.

- The
Galactic Dark Matter: Predictions and Observations

*Astrophysics and Space Science*,**257**(2), 271-278, 1998.

The Self-Similar Cosmological Model's crucial predictions regarding the masses and physical states of the galactic dark matter objects are shown to agree with available experimental evidence, while the Standard Big Bang Model's predictions are not supported. Additional SSCM predictions are discussed.

- Nature
Adores Self-Similarity

This non-technical essay introduces the reader to one of nature's most common design strategies: self-similarity. Over 80 examples from all realms of nature are discussed.