Marcel

The only way to stay grounded is to look deep into space! #science #universe #space

On September 8, OpenAI announced that an AI system had produced a proof about the Navier-Stokes equations, which describe how fluids move. Much of the coverage reported that OpenAI had solved these equations. The result is something different.

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That is a significant result in mathematics, and a different one from the headline. I wrote about the difference between the equation and the problem here: www.tangential.ch/blog/the-equ...

tangential.chtangential

#LLM #AI #Mathematics

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Second, they borrow credibility. The machine check confirms the proof is correct for the statement given to the computer. Whether that statement matches the original problem still needs confirmation by mathematicians. The headline lends the check's authority to a claim the check does not cover.

Third, they shape expectations. The headline suggests progress in simulation and engineering, where the result has no direct application. Stated accurately: an AI system produced a machine-checked proof that, if mathematicians accept it, resolves one formulation of a well-known open problem.

Engineers compute solutions to these equations every day, for aircraft design and weather forecasts. OpenAI addressed a mathematical question about them, one of the seven Millennium Prize Problems: whether the equations allow a smoothly moving fluid to reach infinite speed in finite time.

The proof covers the version of the problem in which an external force acts on the fluid. Whether a fluid left to itself can do this remains open. Headlines like "solved" cause three problems. First, they widen the claim: a result about one question becomes a claim about the equations as a whole.

How independent can a scientist be? Is independence even possible? #science

One frame, 10 mins Ha - uncalibrated. CDK14 at work. The universe is great. #astrophotography #universe

Beatrice Heinze Photography

You see nothing. It just does the work! CDK14 on a 10micron HPS 2000.

Marcel reposted

@beatriceheinze.bsky.social

9 Aug

NGC 5128 Centaurus A (LRGB) Centaurus A, also know as NGC 5128 or Caldwell 77, is a peculiar elliptical #galaxy in the constellation of #Centaurus. #astrophotography #astronomy #photography #art #BlueSkyArtshow #PhotographersUnite #science @kat-astro-bot.bsky.social (See more => click ALT 👇)

4 Aug

Agents. LOL.

2 Aug

My latest image of the Dumbbell Nebula (M27), a planetary nebula located roughly 1,300 light-years away in the constellation Vulpecula. This capture reveals the brighter central core along with some of the fainter outer hydrogen-alpha structures. #astrophotography #space #astronomy #M27

18 July

After a storm there is always hope.

16 July

Give me a break. The universe is beautiful. One 10 mins sub in OIII. #Astrophotography

16 July

Dirty flats. #Astrophotography

7 July

#Astrophotography

Marcel@macelblattner.bsky.social

My @planewave.bsky.social CDK14 is a beast. But I love it!!

7 July

My @planewave.bsky.social CDK14 is a beast. But I love it!!

30 June

The universe is great and doesnt care about humans. Which is good :-)

23 June

NGC 7822 is a striking and visually captivating emission nebula in the constellation Cepheus, lying roughly 2,900 light-years away. Exposure time 15 hours. #Astrophotography #deepsky #universe

21 June

Paris.

14 June

The M109 Galaxy (NGC 3992) is a barred spiral galaxy located in the constellation Ursa Major. It is often nicknamed the "Vacuum Cleaner Galaxy". Distance from Earth about 70 Mio. light-years. Imaged with my CDK14 and Moravian C3-61000 mono camera. #Astrophotography #Universe #Galaxy

13 June

Caldwell 4 - the Iris Nebula. A reflection nebula about 1400 light-years away from Earth. Shot with RGB and my CDK14 hosted at e-eye in Spain. The universe is great. #Astrophotography #deepsky #space #universe

app.astrobin.comCaldwell 4 - the Iris Nebula - AstroBinCaldwell 4 is a reflection nebula about 1400 light-years away from Earth. It's my first time shooting a reflection nebula, and I really enjoyed processing my data. I must say I’m happy with my decisio...

13 June

higher resolution can be accessed here: app.astrobin.com/u/blattnem?i...

11 June

The joke of our century: I am a #AI „expert“.

7 June

The Tulip Nebula (Sh2-101) An H II emission region located in the constellation Cygnus, approximately 6,000 light-years from Earth. The structure spans roughly 70 light-years across. #astrophotography #deepsky

23 May

1/3 Planarian fragments can regenerate normal gross anatomy after a transient bioelectric perturbation, yet display altered outcomes upon re-cutting. This implies regeneration stores a persistent hidden state. A new preprint formalizes that state geometrically.

23 May

2/3 The construction is an open-path Tangential Action Spaces formulation. The coarse anatomical trajectory is prescribed; the hidden state is a baseline-relative endpoint displacement in a higher-dimensional physiological fibre. Re-cutting acts as a challenge readout.

23 May

3/3 A reduced rank-one fit to published 8-OH counts identifies a cryptic interval below the immediate double-headed threshold and predicts out-of-sample re-challenge penetrances near 15% for nigericin- and monensin-treated survivors. doi.org/10.64898/2026.04.01.715890 #morphogenesis #planarian

doi.orgdoi.org

21 May

Sun dog. First time I see one.

21 May

Needle Galaxy (NGC 4565) is a giant spiral galaxy. Total integration time about 2 hours. CDK 14, Moravian C3-61000 mono camera. #Astrophotography

25 Apr

Quick moonshot with #SeestarS50. #Astrophotography #moon

25 Apr

The Whirlpool Galaxy (Messier 51a/NGC 5194). This interacting grand-design spiral galaxy features a Seyfert 2 active galactic nucleus. Captured with a Seestar S50 (120 x 10s integration) and processed in PixInsight. #astrophotography #M51 #space #astronomy #SeestarS50 #PixInsight #Astrophotography

20 Apr

Jones-Emberson 1 (PK 164+31.1), also known as the Headphone Nebula, is a 14th magnitude planetary nebula in the constellation Lynx at a distance of 1600 light years. #Astrophotography

18 Apr

My view. #Astrophotography

16 Apr

Abell 31 (also known as Sh2-290) is an ancient planetary nebula in the constellation of Cancer. It is estimated to be about 2,000 light years away. #Astrophotography

15 Apr

Owl Nebula. #Astrophotography

9 Apr

First light with my CDK14. Operational test. Fun scope. #Astrophotography

27 Mar

Experimenting with inversions. #astrphotography

10 Feb

Have a great evening 🌙 The universe is awesome. #astrophotography

31 Dec 2025

Happy New Year!

30 Nov 2025

Have a nice Sunday.

23 Nov 2025