DuttonΦ

"NP Math is Physics" | taming the Turing Machine Tape combustion | stacking invites to Dinner

[DuttonΦ @duttonphi]

https://t.co/cli5b9np5G

[DuttonΦ @duttonphi]

@ENERGY I assume it will implement Rational Quantum Mechanics (RaQM) by default ? (j/k)

[DuttonΦ @duttonphi]

@CJHandmer “Checking it out right now. Thanks!” ~🦫

[Chandler G @Echo5550]

I am proud to present a new updated map of The Space Coast!

Here is the rundown for the pad colors:
Green - Active
Red - Inactive
Purple - Under Development
Cyan - Leased / Proposed

I have also attempted to mark out different factories and buildings around the coast. I am extremely proud of this, if you have any suggestions or even something I potentially missed, leave them below!

[DuttonΦ @duttonphi]

@appler @yunta_tsai fun fact: You can also tail Graham's Number.

[DuttonΦ @duttonphi]

@CJHandmer My mind just got blown 2x. Once reading your article. Again after when I realized John Carmack recently posted about being frustrated by lack of gram scale cryo pumps capable of handling the violence of thermal mass inversion

https://t.co/bdFQMqIgsV

[John Carmack @ID_AA_Carmack]

Back in the Armadillo Aerospace days, our liquid oxygen loadouts were 50 to 100 gallons, and the tanks only weighed about a tenth of the propellant, so cooldown effects didn’t dominate. I have an effort going on now dealing with several-gram quantities of multiple cryogenic fluids, and it is an enormous pain when your valves and plumbing mass tens of times the fluid you are trying to deal with. I wish there was a viable cryogenic peristaltic pump!

[DuttonΦ @duttonphi]

Thought I was watching the movie "The Back Room"

[LakeShowYo @LakeShowYo]

Curaçao keeper Eloy Room had 15 saves and didn’t allow a single goal to Ecuador 🤯

[DuttonΦ @duttonphi]

@yunta_tsai honest workspace expansion
ride a probe on a rail
let the system dilate

https://t.co/Hv9iQjh8uk

[DuttonΦ @duttonphi]

https://t.co/qNR6gIbO0m

[DuttonΦ @duttonphi]

@CJHandmer I had a chuckle when I read the shoutout to LK-99.

[DuttonΦ @duttonphi]

3/3 The 2026 disproof of the Erdős unit distance conjecture shows what becomes possible when we stop riding only the old geometric rails.

Many are still thinking in terms of grids, elegant pairings, or simple convex-hull-style dilation. Those moves are honest, but they hit natural density limits. The new construction shows that when you let algebraic structure (class field towers, multi-axis unit constraints, deliberate splitting as programmable gauge) actively shape the expansion mechanism, you can produce significantly denser and more resonant certificates than pure geometric dilation alone.

This is the move from Graham Number Probe (riding the rail using Knuth recursive towers) to what I’ve been calling an Algebraic Graham Probe — same honest spirit, but now the rail itself carries richer invariants as active color and tension. The geometry opens up once you stop treating algebraic structure as background and start using it as deliberate gauge on the probe.
https://t.co/TMFjzmEFQm

[DuttonΦ @duttonphi]

https://t.co/qNR6gIbO0m

[DuttonΦ @duttonphi]

1/3 Allow the combined geometric and algebraic workspace expansion to dilate honestly and then

Carve and ride the Rails on Probes of Glory 🎆🚀

[Yun-Ta Tsai @yunta_tsai]

Intelligence is to discover the true boundary of Shannon encoding, given the precondition of P(x), where P(x) is set by the initial prompt.

A right prompt sets the condition of seamlessly boundless possibilities that distill chaos to order.

Thus, a good model would first reframe the prompt to a proper question to unlock the effectiveness of its trajectories.

[DuttonΦ @duttonphi]

2/3 Hilbert came pretty close to riding rails.

In his writings, he was already sensing that resonance — clean, global geometric behavior emerging from difficult local conditions — was a real prize. He kept returning to questions of analyticity, regularity, and variational problems because he could feel that something deeper than formal manipulation was at work.

But Hilbert was working a century too early. He didn’t yet have access to what Thurston would later reveal: that honest, maximal geometric dilation along the curvature and topology rail (the Thurston Probe) can itself sculpt stable orbital hulls where resonant certificates become preloadable. Hilbert was reaching for resonance with the tools of analysis. He didn’t know the rail could be ridden geometrically first.

[DuttonΦ @duttonphi]

@NASAAdmin @APKramar I always wondered how much it cost to send 1 Big Auntie Mater to orbit

[DuttonΦ @duttonphi]

@brian_armstrong @elonmusk decided to bust out an Article about this

https://t.co/uoieobYvsh

[DuttonΦ @duttonphi]

https://t.co/NiK7pOfW9o

[DuttonΦ @duttonphi]

https://t.co/NiK7pOfW9o

[DuttonΦ @duttonphi]

@yunta_tsai As a user, not a single day goes by without me thinking about the interpretation layer as Semiotics.

[DuttonΦ @duttonphi]

@UnderratedUSMNT World Class wasn't on my radar

[DuttonΦ @duttonphi]

@pronounced_kyle Good lookin' out

[DuttonΦ @duttonphi]

@Xaraphim @whatRanjuSaid now do El Segundo

[DuttonΦ @duttonphi]

@LightDriver21 @midjourney my attempts to make cosmic puns are definitely sloppy

[DuttonΦ @duttonphi]

@brian_armstrong "still worth attempting hard things that can move society forward even if difficult"
Yes. That's why I prefer to outright declare "NP Math Is Physics". It's almost like P=(?)NP was kept around to derail progress or just to prop up Computer Science departments in academe.