New Horizons in Mathematical Physics
NHMP
>
Volume 1, Number 3, December 2017
A Pilot-Wave Gravity and the Titius-Bode Law
DOI:
10.22606/nhmp.2017.13001
Author(s)
J.R. Croca, P. Castro, M. Gatta, A. Cardoso, R. Moreira
Affiliation(s)
University of Lisbon, Faculty of Sciences, Department of Physics
Center of Philosophy of Sciences of the University of Lisbon
CINAV and Escola Naval (Portuguese Naval Academy)
Center of Philosophy of Sciences of the University of Lisbon
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/