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Riemann Makes Explicit what Lagrange Implied.
1. What the Lagrangian perspective truly is The Lagrangian perspective does not ask: “What forces push an object at this point in space?” Instead, it asks: “Along which path does the system choose to move, given all constraints?” Motion is not constructed step by step. It is selected. This is the first philosophical shift. 2.…
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The Logic to Galactic-scale Transport Networks
We will not imagine engines of fantasy, but extend a principle already proven true. 1. What must be preserved when scaling up When moving from the solar system to the galaxy, we must preserve relations, not mechanisms. The preserved ideas are these: Motion follows extrema of action, not straight lines. Geometry constrains motion more than…
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Inspirations
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Sacks Spiral
Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state. Mathematics Problem That Remains Elusive —And Beautiful By Raymond Petersen Sacks Spiral of prime numbers Robert Sacks…
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Nature’s Experiment on the Meaning of Weight
“Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state.” Mathematics Problem That Remains Elusive—And Beautiful By Raymond Petersen This picture resides at the bottom of my…
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Who said it?
At this point in the development, although geometry provided a common framework for all the forces, there was still no way to complete the unification by combining quantum theory and general relativity. Since quantum theory deals with the very small and general relativity with the very large, many physicists feel that, for all practical purposes,…
