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Dive into the nature of gravity from a probabilistic standpoint, examining the essence of differences and flows in phenomena like river runs and hurricane formations. Explore the foundations of thermodynamics, the importance of temperature differences, and the intertwining concepts of order and disorder in the universe. Delve into the spatial and temporal aspects of dynamic laws and configurations, pondering whether the universe dictates the laws or vice versa. Discover the transformative power of space influenced by various content elements, leading to a deeper understanding of state spaces and dimensional distinctions. Join this exploration of possibilities and potential transformations in the realm of gravity.
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Pete MartinonGravity 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
Do things happen because they have to ? . . . Or because they can ?
Differences and Flows Why does the river run ? –a difference. Why do Bénard cells form ? ...Or hurricanes ? –a difference.
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
Temperature difference Electrical current Heat flow Electrical potential Reciprocal Relations
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.”
DIFFERENCE FLOW SPATIAL ORDER TEMPORAL ORDER CONFIGURATION LAW OF DYNAMICS
“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
The start of the whole shebang THIS SHOULD DO IT . . . SPACE OF POSSIBILITIES G. A. AFTER PENROSE, 1989
TEMPERATURE DIFFERENCE DENSITY DIFFERENCE GRAVITY DIFFERENCE
“SPACE” TRANSFORMED BY ITS CONTENT From Tobler, 1976, “Cartograms and cartosplines”.
STATE SPACE TRANSFORMED BY STATE ? • Dimensionality ; Distinguishability • Extent • Numerical model