A Pilot-Wave Gravity and the Titius-Bode Law

Download PDF (246.3 KB) PP. 75 - 81 Pub. Date: December 21, 2017

DOI: 10.22606/nhmp.2017.13001

Author(s)

J.R. Croca^*
University of Lisbon, Faculty of Sciences, Department of Physics
P. Castro
Center of Philosophy of Sciences of the University of Lisbon
M. Gatta
CINAV and Escola Naval (Portuguese Naval Academy)
A. Cardoso
Center of Philosophy of Sciences of the University of Lisbon
R. Moreira
Center of Philosophy of Sciences of the University of Lisbon

Abstract

Since its initial proposal in 1766, Titius-Bode empirical law has remained a puzzling source of discomfort as it predicts the average distances from the planets to the Sun for no apparent reason. Using a framework analogous to de Broglie’s pilot wave theory and the self-organizing Principle of Eurhythmy, we claim that several main physical quantities describing the Solar System are quantified. Hence the Titius-Bode Law is a direct manifestation of gravitational pilot-waves at work in the Solar System.

Keywords

Titius-Bode Law, Gravity, Pilot wave theory, planet-star interactions.

References

[1] Blagg, Mary Adela, “On a suggested substitute for Bode's Law”, Mon. Not. R. Astron. Soc. 73, 414-22 (1913).

[2] Richardson, D. E., “Distances of planets from the Sun and of satellites from Their primaries in the satellite systems of Jupiter, Saturn, and Uranus”, Pop. Astron. 53, 14-26 (1945).

[3] Nieto, Michael Martin. The Titius-Bode Law of Planetary Distances: Its History and Theory. Edited by D. Ter Haar. Pergamon, 1972.

[4] de Broglie, Louis, “La mécanique ondulatoire et la structure atomique de la matière et du rayonnement” in Le Journal de Physique et le Radium (6), 8, 225–41, (Paris: 1927).

[5] Croca, J. R., Eurhythmic Physics or Hyperphysics. Saarbrücken: LAP Lambert Academic Publishing, 2015.

[6] Planetary Fact Sheet – Metric webpage, Available: http://nssdc.gsfc.nasa.gov/planetary/factsheet/

New Horizons in Mathematical Physics