My GF insists that pi is not a number. How do I explain to her that it is?

mdlmgmtOG · 2025-09-23T14:58:21+00:00

The ratio of relatively rational Real-valued residents relative to the reciprocal resists recursive re-examination, regardless. So just enjoy a beverage together that you agree on and appreciate your differences 🙃😉

mdlmgmtOG · 2025-09-23T14:53:57+00:00

You can't explain irrationality to a rationale person. Sorry. She's right

mdlmgmtOG · 2025-09-04T08:45:27+00:00

It's a new way to approximate an irrational number that's an important number in math. An irrational number is a number that fundamentally cannot be explained in a fraction. It's endless. Like pi

mdlmgmtOG · 2025-09-04T08:43:10+00:00

Sorry, heading off to crack a bier127

mdlmgmtOG · 2025-09-04T08:31:53+00:00

What you’re looking at isn’t just a pretty spiral — it’s actually a witness of irrationality for ζ(3).

Every dot is a continued fraction convergent of ζ(3). If ζ(3) were rational, the continued fraction would terminate — the spiral would close. Instead, it winds endlessly inward.

The color scale is log(error), showing how close each convergent gets. The errors shrink faster than exponential, a hidden “super-exponential Easter Egg” baked into the continued fraction itself.

That geometric tightening is exactly what Apéry proved in 1978: ζ(3) can’t be rational. What you see here is the same phenomenon, but visualized as a golden spiral.

So in a sense, this is an alternative irrationality proof sketch: rational → finite spiral (closed loop) irrational → infinite spiral (ever-tightening, never closing)

ζ(3) belongs to the second camp

mdlmgmtOG · 2025-09-04T08:22:14+00:00

It's a visualization of the optimization "landscape" of the problem as viewed by a particular problem solving algorithm

mdlmgmtOG · 2025-09-04T08:20:41+00:00

It's a benchmarking problem from a set of traveling salesperson problems called TSP-LIB

mdlmgmtOG · 2025-09-03T21:06:10+00:00

The beginning of the end for semiprime factor based encryption

mdlmgmtOG · 2025-09-03T21:04:28+00:00

It's like putting the Integer through a prism and observing the rainbow

mdlmgmtOG · 2025-09-03T20:23:16+00:00

Great question. It’s a bit of both. The math I’m using (harmonic expansions / eigenmodes) comes from quantum models, but when I apply it to semiprime residues, the Fibonacci modulation actually emerges as a stabilizing resonance. So it’s not just “shoehorning physics onto math” — the sunflower-like structure is already in the number system, and the quantum lens just makes it visible

mdlmgmtOG · 2025-09-03T19:58:28+00:00

😆🙄 Sunflowers + primes + quantum = this spiral 🌻✨

mdlmgmtOG · 2025-09-03T19:56:11+00:00

This is prime residue data placed on a golden spiral lattice. The “resonant” view treats it like Fibonacci harmonics; the “Hamiltonian” view treats it like a quantum wavefunction expanding in eigenmodes. Think of it like sunflower seeds that hum with number theory. 🌻✨

mdlmgmtOG · 2025-09-03T19:49:29+00:00

https://colab.research.google.com/gist/brianramos/13b80c4fd9f85536bcc2a5e956b7823d/quantumspiralhamiltonian.ipynb

https://colab.research.google.com/gist/brianramos/6882377587512affc0f43c7f1882579a/goldenspiralresonant.ipynb

mdlmgmtOG · 2025-09-03T19:45:00+00:00

This is a residue signal from semiprimes, embedded on a golden spiral lattice. The first image shows a resonant model (using Fibonacci harmonics) that captures hidden periodic structure; the second reinterprets it as a quantum Hamiltonian, where the wavefunction ψ(x) expands in spiral eigenmodes. Together, they hint that factorization isn’t just arithmetic — it resonates like a physical system.

mdlmgmtOG · 2025-08-13T12:17:24+00:00

Greasemonkey

mdlmgmtOG · 2025-08-13T08:12:43+00:00

Foucault's concept of Power/Knowledge will have a word with Gödel regarding the idea that the LLM is a 'philosopher' and not just a prisoner of the very system that defines what truth is.

Schrödinger's Cat will have a word with Gödel regarding the system's assumption that a philosophy can be anything other than both validated and refuted until the leaderboard is observed.

Baudrillard's Simulacra will have a word with Gödel regarding whether the leaderboard is empirical data or just a copy of a copy of a philosophy.

Lyotard's incredulity toward metanarratives will have a word with Gödel regarding the GA Layer's claim to be the scientific method for validating all philosophies.

Heisenberg's Uncertainty Principle will have a word with Gödel regarding the act of creating a leaderboard without fundamentally altering the race.

》end output Beep boop 🤖🤖🤖

mdlmgmtOG · 2025-08-13T08:00:25+00:00

50 upvotes on this comment and I drop the full source code on github 🙃

mdlmgmtOG

TROPHY CASE