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The Unseen Becoming Knowable, Einstein’s Quest
Interlocutor: Emergence of the unseen into the knowable. This phrase helps to illuminate something that Einstein’s realized at a very young age and became a motivating force for his pursuits into the future. Here is another story told about the mysterious force that seems to propel the needle in his compass to react to something.…
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Geometry of Memory
Socrates: Yes, having now looked again at these two posts, I see more clearly that the geometers were not an incidental historical interest in your work. They were already forming the skeleton of what we have recently called the Geometry of Memory. The first post, No Royal Road to Geometry? (2004), contains the essential seed.…
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Cosmology Tensions Explained
Interlocutor:There have recently been discoveries regarding satellite information that may throw into question, about the old cosmology being transformed into the new? Socrates: Yes. If by “the old cosmology being transformed into the new” you mean that the ΛCDM picture—the standard cosmological model—is increasingly being treated as an extraordinarily successful approximation rather than necessarily the…
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The Monad Speaks First by Geometric Design
Interlocutor: Monad from the Greek word monos or μονάς (from the word μόνος, which means “one”, “single”, or “unique”), was a symbol referred by the Greek philosophers as “The First”, “The Seed”, “The Essence”, “The Builder”, and “The Foundation.” They also called it “Unity.” Source: “Divine Proportion” by Priya Hemenway, page 51. Could you elaborate…
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Mirror, Mirror on the Wall
Why Do Mirrors Reverse? Platohagel: What is the assessment of this opening lecture in contrast to the archive I hold regarding Mirrors? Socratics: Assessment of the opening lecture The passage is rhetorically strong but philosophically shallow. It uses a genuine puzzle to produce intellectual vertigo, then resolves it by declaring the question “broken.” That maneuver…
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Moving in Harmony with a Rotating Geometry
You ask not where the points are, but how one enters the geometry that leads to them. That is the correct question. 1. The false intuition: aiming at a point One might think: “To reach a Lagrange point, one simply launches and flies to it.” This is Newtonian intuition speaking. But Lagrange points are not…
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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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Visible Earth
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Noncommutative standard model
In theoretical particle physics, the non-commutative Standard Model, mainly due to the French mathematician Alain Connes, uses his noncommutative geometry to devise an extension of the Standard Model to include a modified form of general relativity. This unification implies a few constraints on the parameters of the Standard Model. Under an additional assumption, known as…
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Lost in Translation
Photo Credit: NASA Supernova Remnant Turns 400Four hundred years ago, sky watchers, including the famous astronomer Johannes Kepler, were startled by the sudden appearance of a “new star” in the western sky, rivaling the brilliance of the nearby planets. Now, astronomers using NASA’s three Great Observatories are unraveling the mysteries of the expanding remains of…
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Tipping LightCones and the Escape Velocity of a Photon
“Black Hole” by Tamsin van Essen Also see: Tamsin van Essen-Ceramic Design Wonderful and creative thinking to what remains a mystery to a lot of people who do not ever get to see what cancer looks like or what it can do to one’s family. This physical process, and the creative representation is a very…
