Math educator. Author of 'Sequential Experiments with Primes' (Springer, 2017). Views are my own.

525 S. Main St. Ada, OH. 45810
Joined October 2014
Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
VOYAGER 1 JUST CAME BACK FROM THE DEAD Something thought to be broken for more than 20 years has suddenly come back to life on a spacecraft more than 15 billion miles from Earth. NASAโ€™s Voyager 1, launched in 1977, recently faced another problem that could have threatened its ability to communicate with us. Engineers needed backup roll thrusters to help keep the spacecraftโ€™s antenna precisely aimed at Earth. But those thrusters had been considered unusable since 2004 after their tiny heaters stopped receiving power. Then NASA engineers took another look at the old failure. They suspected the heaters might not actually be dead, but stuck in the wrong electrical state. So they sent a carefully planned command into deep space. The signal took more than 23 hours to reach Voyager 1. There was no instant response and no way to intervene if the spacecraft reacted badly. Engineers had to wait. Then, more than a day later, the telemetry arrived. The temperature had risen. The heaters were working. A system believed to be lost for two decades had been brought back to life from billions of miles away. The timing matters. Voyagerโ€™s working thrusters are slowly becoming less reliable as fuel residue builds up inside their narrow tubes. Meanwhile, the spacecraftโ€™s nuclear power source loses about four watts every year. NASA has already been forced to shut down instruments to conserve its shrinking supply of electricity. Only two science instruments remain operating. And Voyager 1 is still heading farther into interstellar space. In November 2026, it is expected to become the first human-made object to reach a distance of one light-day from Earth โ€” about 16.1 billion miles away. A spacecraft built nearly half a century ago is still whispering information back to Earth from the darkness between the stars. And somehow, every time it seems ready to fall silent, engineers find another way to keep it talking. Source: NASA/JPL
Readers added context they thought people might want to know
The events described, including the Voyager 1 backup thruster revival, occurred in March 2025 and were announced by NASA in May 2025. science.nasa.gov/blogs/voyager/โ€ฆ
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Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
ยซI believe that scientific knowledge has fractal properties, that no matter how much we learn, whatever is left, however small it may seem, is just as infinitely complex as the whole was to start withยป โ€” Isaac Asimov (I Asimov, 1995)
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Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
Visualization of the Navier-Stokes blowup solution: left- and right-handed swirls (blue and purple) wind up while the axial flow (brown) shrinks, but slower. As a result, the vortex core develops a singularity.
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Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
Weโ€™re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics. The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra. The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
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Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
Fun fact. Voyager 1, currently over 16 billions miles away (nearly 1 light day), still operates using 69 KB of memory, 8 track tape and Fortran code written in 1977.
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Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
White Cherry Tree from Japan ๐Ÿ‡ฏ๐Ÿ‡ต
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Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
A Tragic Moment in the History of Science 120 years ago, on 5 September 1906, the eminent physicist Ludwig Boltzmann took his own life during a family holiday at the Hotel Ples in Duino, Italy. His tombstone in Vienna includes his famous entropy formula. greatatomdebate.com
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Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
The Himalayan blue poppy [๐Ÿ“นManoj Kinger]
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Mihai Caragiu ๐Ÿ‡บ๐Ÿ‡ฆ๐Ÿ‡ช๐Ÿ‡บ๐ŸŒ retweeted
In chaotic systems, the smallest fluctuations get amplified. As scientist Edward Lorenz put it in the 1960s and 70s, even a seagull flapping its wings might eventually make a big difference to the weather. Here's how scientists came to understand what chaos is, and how to wrangle it: quantamagazine.org/the-hiddeโ€ฆ
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