What fascinates me is the structural climax. The piece is 257 bars long. The 'Golden Mean' (257 / φ) lands exactly at bar 159... right in the middle of the arpeggiated bariolage section, the point of maximum tension.

Bach wasn't just composing; he was executing an optimization algorithm."

very interesting!..."I've been analyzing the Chaconne through an information-theoretic lens. It's the ultimate test case for parsimony.

The entire 15-minute structure (257 bars) is generated from a 4-bar genotype (~60 bits of information). That's a compression ratio of ~750:1!

lol!
😂

At first I I thought how can anything rival THE Chaconne BWV 1004? Then, I realized these are from 16ish yrs before. Lovely. Thanks for this.

Thanks for the heartening info. Sadly, it'll be a long time before we get good eco news "back home." In the 1920s SoCal "Roaring 20s," in your backyard where I grew up, we lost the last California Grizzly in Tujunga in 1927.

3/ Consider ontology not as abstract philosophy, but as a rigorous structural framework—a "research collaborator" that maps genuine mechanistic relationships between domains.

Not analogies or surface similarities, but deep isomorphisms grounded in empirical pathway data.

2/ The current wave of AI/LLM applications largely extracts low-hanging fruit: pattern recognition, text synthesis, narrow reasoning tasks.

But transformative breakthroughs require something more fundamental: ontologically grounded cross-domain frameworks validated by experimental evidence.

👍 & 'legitimate connection' is exactly the right bar. I'm exploring similar parsimony questions in biological and materials systems, diff substrate, same curiosity. Your physics work & methodological rigor genuinely help this pursuit not feel like a shot in the dark

Thank you, John. Your caution goes in my draft on parsimony in computational biology - a useful check on my bias. I want elegant connections to exist, which is when "no firm connections known" matters most. What would constitute a legitimate connection is the fascinating part.

Your work illuminates why Occam's Razor works: simplicity isn't our preference, it's nature's algorithm.
Thank you for sharing these beautiful structures. They're not just mathematically profound - they're practically transformative for those of us trying to understand how nature actually computes.

That's beautifully put - 'symmetry and logic' as universe's foundation. What strikes me is how these symmetric spaces might be nature's way of achieving computational parsimony.
That octonions appear in ALL exceptional cases says something profound about how bio/phys systems organize information.

This is really beautiful! Both the math and morphisms. 🐌 🪐⚛️...Not a Mathematician but use abstractions for simulations. Is this possibly the source of abstract structures that get projected into our dimension, as ubiquitous morph memes, spheres, orbits, etc ? Kind of like Plato's cave in math? COOL!

New chapters coming for healthcare and patient advocacy. Stay tuned for smarter, more humane systems.

I couldn't agree more. Healthcare providers are overstretched here on the Central West Coast of Oregon. I hear over and over, in many other less populated regions, the story is the same. Properly integrated AI health systems can streamline patient/provider communication & outcomes.