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Pete Martin on Gravity from a Probabilistic Point of View

Pete Martin on Gravity from a Probabilistic Point of View. July 10, 2007 (64). Gravity from a Probabilistic Point of View. Pete Martin. Spatial Information Research Centre. Department of Information Science University of Otago, Dunedin, New Zealand.

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Pete Martin on Gravity from a Probabilistic Point of View

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  1. Pete MartinonGravity from a Probabilistic Point of View July 10, 2007 (64)

  2. Gravity from a Probabilistic Point of View

  3. Pete Martin Spatial Information Research Centre Department of Information Science University of Otago, Dunedin, New Zealand

  4. Do things happen because they have to ? . . . Or because they can ?

  5. Differences and Flows Why does the river run ? –a difference. Why do Bénard cells form ? ...Or hurricanes ? –a difference.

  6. Foundation of Thermodynamics Or Entropy Dynamics “Wherever there exists a difference of temperature, motive force can be produced.” (And wherever there exists motive force, a difference of temperature can be produced !) Differenceis of the essence. Sadi Carnot, 1796 - 1832

  7. Temperature difference Electrical current Heat flow Electrical potential Reciprocal Relations

  8. Two assurances sustain the world: Order, and Disordering. ORDER (DIFFERENCE) DISORDERING (FLOW) • Revision of Paul Valéry quotation, • “Two dangers threaten the world: order, and disorder.”

  9. DIFFERENCE FLOW SPATIAL ORDER TEMPORAL ORDER CONFIGURATION LAW OF DYNAMICS

  10. Which comes first, Law, or Universe ?

  11. “What really interests me is whether God had any choice in the creation of the world.” - A. Einstein, as quoted by G. Holton “What really interests me is whether God has anything but choice in the creation of the world.” - Impertinent student

  12. Phase-space view of 2nd Law of Thermodynamics

  13. The start of the whole shebang THIS SHOULD DO IT . . . SPACE OF POSSIBILITIES G. A. AFTER PENROSE, 1989

  14. TEMPERATURE DIFFERENCE DENSITY DIFFERENCE GRAVITY DIFFERENCE

  15. “SPACE” TRANSFORMED BY ITS CONTENT From Tobler, 1976, “Cartograms and cartosplines”.

  16. SPACE “ITSELF” TRANSFORMED BY ITS CONTENT

  17. STATE SPACE TRANSFORMED BY STATE ? • Dimensionality ; Distinguishability • Extent • Numerical model

  18. Thanks for your attention and further ideas !

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