Infinite Fractal Universe
A brief manifesto that puts the paradigm of an infinite self-similar cosmos into historical context.
Self-Similar Cosmological Model: Introduction and Empirical Tests
International Journal of Theoretical Physics, 28(6), 669-694,
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,
Second part of a review of The Self-Similar Cosmological Model. See Paper
1 for part one.
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,
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.
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.
Apparent Gap in the Stellar Mass Distributions at ≈
0.7M¤ and a Possible Explanation
Astrophysics and Space Sciences, 278, 423-430,
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.
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
Legend of Cosmological Homogeneity
Various lines of evidence suggest that on the largest scales the structure
of the cosmos is fractal, not homogeneous.
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.
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.
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 1038 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.
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.
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
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.