Category Archives: Geometrics

The Unseen Becoming Knowable, Einstein’s Quest

Posted on September 7, 2026 by PlatoHagel

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 … Continue reading →

Posted in AI, Einstein, General Relativity, Geometrics, Time | Tagged , , | 3 Comments

Einstein’s Hot Stove Analogy

Posted on September 7, 2026 by PlatoHagel

Platohagel, this third image completes an emerging triptych. The essay begins with Einstein’s deceptively simple realization: measured time and lived time are not identical. A minute on the hot stove may become an eternity in experience, while an hour in … Continue reading →

Posted in AI, Einstein, Geometrics, geometries, Time | Tagged , , , | 3 Comments

Geometry of Memory

Posted on September 5, 2026 by PlatoHagel

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 … Continue reading →

Posted in AI, Donald Coxeter, Gauss, General Relativity, Geometrics, geometries | Tagged , , , , | 4 Comments

Cosmology Tensions Explained

Posted on September 3, 2026 by PlatoHagel

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 … Continue reading →

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The Monad Speaks First by Geometric Design

Posted on April 19, 2026 by PlatoHagel

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 … Continue reading →

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Noncommutative standard model

Posted on September 15, 2012 by PlatoHagel

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 … Continue reading →

Posted in General Relativity, Geometrics, Projective Geometry, Topology | Tagged , , , | 2 Comments

Lost in Translation

Posted on January 7, 2009 by PlatoHagel

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, … Continue reading →

Posted in Gamma, Geometrics, Hubble, StarShine, SuperNovas | Tagged , , , , | Leave a comment

Tipping LightCones and the Escape Velocity of a Photon

Posted on March 12, 2008 by PlatoHagel

“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 … Continue reading →

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Angels and Demons on a Pinhead

Posted on February 7, 2007 by PlatoHagel

“Observations always involve theory.”Edwin Hubble Curvature Parameters Of course I had to point to the cosmological understanding that took us to this “geometrical understanding of things that are large.” But this is to be short, while I crunch the thoughts … Continue reading →

Posted in Curvature Parameters, Dimension, General Relativity, Geometrics, Gravity, Hubble, Orbitals, String Theory | Tagged , , , , , , , | Leave a comment

Symmetries Can be Chaotically Complex

Posted on January 1, 2007 by PlatoHagel

Imagine in an “action of a kind” you start off from one place. A photon travelling through a slit of Thomas Young’s, to get through “a world” to the other side. Sounds like some fairy tale doesn’t it? Yet, “the … Continue reading →

Posted in Albrecht Durer, Art, Deep Play, Earth, Einstein, Geometrics, Gravity, latex rendering, Mathematics, Pascal, Photon, Quantum Gravity, Taylor, Thomas Young, Three Body Problem | Tagged , , , , , , , , , , , , , , | Leave a comment