Arithmon

A research program exploring whether the constants of nature are counts: topological invariants of a compact geometry. Founding framework: GIFT.

[Arithmon @ArithmonProgram]

A naming update: the research program formerly known as GIFT is now Arithmon. Same mathematics, same frozen predictions, same timeline: a durable name for a durable question: are the constants of nature counts?

find out more 👇

https://t.co/ILtpDE6U8x

[Arithmon @ArithmonProgram]

Prime numbers 47, 59, 71 multiply to give the Monster dimension 196883. Primes know about physics.

#GIFT #G2Holonomy #StandardModel
https://t.co/wbfJ1pYGwV

[Physics In History @PhysInHistory]

"Geometry does not teach us to draw these lines, but requires them to be drawn."

- Isaac Newton

[Arithmon @ArithmonProgram]

Why 4D spacetime? In GIFT: 11 - 7 = 4. The internal G₂ manifold K₇ is 7D. Dimensionality explained.

#TheoreticalPhysics #StandardModel #Physics
https://t.co/PzkrTUCJBs

[Arithmon @ArithmonProgram]

Mirage. Defending. T-side is pushing mid. You hear a footstep.

You walk: silent but slow, you arrive late, you die. You run: fast but loud, the enemy heard everything, you die.

No third option. The game forces you to choose between being efficient in speed and being efficient in stealth. Every advantage you gain in one is given up in the other.

Episode 8 is up. It's about something Heisenberg figured out in 1927, and that you've been doing with your mouse for 800 hours without ever putting words on it.

https://t.co/wWbGJaVhre

[Arithmon @ArithmonProgram]

The Koide formula Q = 2/3 is exact in GIFT, derived as dim(G₂)/b₂ = 14/21. Deviation from experiment: 0.0009%.

#Lean4 #Physics #Mathematics
https://t.co/PzkrTUCJBs

[Arithmon @ArithmonProgram]

@NextScience I tried to explain what I understood of it in a simple way (at least for gamers...):
https://t.co/xqgB4dPaqX

[Arithmon @ArithmonProgram]

Confession: I installed Factorio specifically to write this episode. That was three weeks ago. Send help.

But also: the game does something rare. It makes you feel, in your hands, why ordered structures need energy flow to exist. Why building creates pollution. Why pollution creates threats. Why the threats force you to grow. The whole loop is the loop of life itself, on a slightly different scale.

Episode 7 is up:

https://t.co/vK1hcBZrWd

[Arithmon @ArithmonProgram]

GIFT is a proposal, not a proven theory. It makes falsifiable predictions. That's what makes it science.

#GIFT #Physics #Lean4
https://t.co/KLiEKd5gzn

[Arithmon @ArithmonProgram]

Joyce existence theorem verified numerically: L* = 0.815, ρ = 0.014, safety margin 1.23×. The metric converges.

#G2Holonomy #TheoreticalPhysics #GIFT
DOI: 10.5281/zenodo.18837071

[Arithmon @ArithmonProgram]

GIFT predicts δ_CP = 197° for neutrinos. DUNE at Fermilab will measure it in the 2030s. Falsifiable.

#GIFT #Lean4 #Geometry
https://t.co/KLiEKd5gzn

[Arithmon @ArithmonProgram]

Spring 28 in Stardew Valley. You harvested three quarters of your parsnips yesterday. The last quarter is still in the ground, a day from harvest.

You wake up on Summer 1. They're all dead. Not wilted, not rotted: dead. The loading screen tells you flatly: "Crops from the previous season have perished."

You curse, you replant, you move on. But what you just touched is one of the most mysterious things in all of physics: time goes in one direction, always, and no one really knows why.

Episode 6 is up:

https://t.co/R4xYuWDYyM

[Physics In History @PhysInHistory]

Pythagoras’ Constant: the square root of 2 (approximately 1.41). It’s the very first irrational number ever discovered and has a fascinating history behind it. Interestingly, Babylonian mathematicians discovered Pythagoras’ famous theorem 1,000 years before Pythagoras himself did.

[Arithmon @ArithmonProgram]

@NextScience 5379

[Physics In History @PhysInHistory]

John v. Neumann on 'the usefulness of Mathematics'

A large part of mathematics which becomes useful developed with absolutely no desire to be useful, and in a situation where nobody could possibly know in what area it would become useful; and there were no general indications that it ever would be so. By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment when it is useful; and that this lapse of time can be anything from 30 to 100 years, in some cases even more; and that the whole system seems to function without any direction, without any reference to usefulness, and without any desire to do things which are useful.

-- as mentioned in "The Role of Mathematics in the Sciences and in Society" (1954)

[Arithmon @ArithmonProgram]

GIFT cited by Imperial College London + UNICAMP researchers working on neural G₂ metrics (arXiv:2602.12438).

#Geometry #TheoreticalPhysics #StandardModel
https://t.co/KLiEKd5gzn

[Arithmon @ArithmonProgram]

A PINN with 564,678 parameters learned the G₂ metric. Then we distilled it to 169 exact numbers. A blackboard suffices.

#G2Holonomy #StandardModel #TheoreticalPhysics
https://t.co/wbfJ1pZemt

[Arithmon @ArithmonProgram]

You're walking north out of Whiterun. A ruined fort on the horizon, held by bandits. You've been there before.

Ask yourself a simple question: right now, while you walk, what are the bandits doing? Are they cooking? Sharpening axes? Tending the fire?

Answer: nothing. They don't exist. No line of code is running for them. They're waiting for an observer.

Episode 5 is up. It's about that strange thing every open-world gamer has lived without ever putting words on it: a universe that only runs where you place your gaze. And the question John Wheeler spent his late career on: maybe that's a little bit true of the real universe too.

https://t.co/pKtnFYYNwr

[Physics In History @PhysInHistory]

The book of nature is written in the language of mathematics.

– Galileo Galilei

[Arithmon @ArithmonProgram]

The strong coupling α_s and electroweak couplings emerge from the same G₂ structure constants. Unified origin.

#GIFT #StandardModel #Geometry
DOI: 10.5281/zenodo.18837071