Galileo’s discovery of scaling laws

  title={Galileo’s discovery of scaling laws},
  author={M. Peterson},
  journal={American Journal of Physics},
  • M. Peterson
  • Published 2001
  • Physics
  • American Journal of Physics
Galileo’s realization that nature is not scale invariant motivated his subsequent discovery of scaling laws. His thinking is traced to two lectures he gave on the geography of Dante’s Inferno. 
Comment on “Galileo’s discovery of scaling laws,” by Mark A. Peterson [Am. J. Phys. 70 (6), 575–580 (2002)]–Galileo and the existence of hell
Mark Peterson has given a brilliant and fascinating account of Galileo Galilei’s early lectures ~1588! on Dante’s Inferno and their relation to Galileo’s mature theory of the laws of scaling,Expand
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The appendix on the centres of gravity that appears at the end of Galileo's book, Two New Sciences, is analysed. It is shown that the method used by Galileo in this work has an interesting reasoningExpand
Scaling Laws in Galileo: An Educational Proposal.
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– A reading of the Divina Commedia with the eyes of a modern scientist reveals that Dante devoted great attention to the description of a wide variety of natural phenomena, particularly thoseExpand
Galileo's Muse: Renaissance Mathematics and the Arts
Mark Peterson makes an extraordinary claim in this fascinating book focused around the life and thought of Galileo: it was the mathematics of Renaissance arts, not Renaissance sciences, that becameExpand
Scaling Laws
It is a very well-known fact that when size diminishes to extremely small levels, Newtonian mechanics fails. In such situations one has to use quantum mechanics for studying physical systems of suchExpand
General Thermodynamic Efficiency Loss and Scaling Behavior of Eukaryotic Organisms
A simple and general thermodynamic theory is applied to describe the irreversible aspects of the continuous process of functional efficiency loss, which occurs in dissipative biological structures ...
Scaling laws in the distribution of galaxies
Past surveys have revealed that the large-scale distribution of galaxies in the universe is far from random: it is highly structured over a vast range of scales. Surveys being currently undertakenExpand
Unifying Physics and Psychophysics on the Basis of Symmetry, Least-Action ≈ Simplicity Principle, and Conservation Laws ≈ Veridicality
Psychophysics refers to the branch of Experimental Psychology that deals with the study of Sensation and Perception. A consensus has grown up among experts in Psychophysics during the last hundredExpand


Dialogue concerning the Two Chief World Systems
Several years ago there was published in Rome a salutary edict which, in order to obviaie the dangerous tendencies of our present age, imposed a seasonable silence upon the Pythagorean opinion thatExpand
Archimedes' law of the lever, the balance of torques, was second nature to Galileo
  • Archimedes' law of the lever, the balance of torques, was second nature to Galileo
Two New Sciences, op. cit
  • Two New Sciences, op. cit
Two New Sciences, op.cit
  • Two New Sciences, op.cit
See, for example, the entertaining account in William Dunham
  • Journey Through Genius
  • 1990
See, for example, the entertaining account in William Dunham
  • Journey Through Genius
  • 1990
Galileo at Work (Dover Publications Inc
  • Mineola, NY,
  • 1978
Galileo at Work ͑Dover
  • 1978
Two New Sciences, (tr
  • by Henry Crew and Alfonso de Salvio, Dover Publications,
  • 1954
Two New Sciences, translated by Henry Crew and Alfonso de Salvio ͑Dover
  • 1954