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Archive for the ‘mathematics’ category: Page 5

Nov 2, 2024

Artificial Consciousness? It’s Inevitable: A Study Challenges Chalmers

Posted by in categories: mathematics, robotics/AI

Artificial consciousness is inevitable, says new study. Mathematical model unifies theories and paves the way for sentient robots.

Oct 31, 2024

1992, 31 October

Posted by in categories: chemistry, mathematics, physics

On this day in 1992, the Vatican admitted that Galileo was correct in believing that the earth went around the sun.


2. In the first place, I wish to congratulate the Pontifical Academy of Sciences for having chosen to deal, in its plenary session, with a problem of great importance and great relevance today: the problem of ‘the emergence of complexity in mathematics, physics, chemistry and biology

The emergence of the subject of complexity probably marks in the history of the natural sciences a stage as important as the stage which bears relation to the name of Galileo, when a univocal model of order seemed to be obvious. Complexity indicates precisely that, in order to account for the rich variety of reality, we must have recourse to a number of different models.

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Oct 30, 2024

The Hidden Math Behind All Living Systems

Posted by in categories: biological, mathematics, neuroscience, robotics/AI

Dr. Sanjeev Namjoshi, a machine learning engineer who recently submitted a book on Active Inference to MIT Press, discusses the theoretical foundations and practical applications of Active Inference, the Free Energy Principle (FEP), and Bayesian mechanics. He explains how these frameworks describe how biological and artificial systems maintain stability by minimizing uncertainty about their environment.

Namjoshi traces the evolution of these fields from early 2000s neuroscience research to current developments, highlighting how Active Inference provides a unified framework for perception and action through variational free energy minimization. He contrasts this with traditional machine learning approaches, emphasizing Active Inference’s natural capacity for exploration and curiosity through epistemic value.

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Oct 30, 2024

How a classical computer beat a quantum computer at its own game

Posted by in categories: computing, mathematics, quantum physics

Researchers explore an intriguing phenomenon in quantum systems, drawing inspiration from a recent quantum computing experiment.


Earlier this year, researchers at the Flatiron Institute’s Center for Computational Quantum Physics (CCQ) announced that they had successfully used a classical computer and sophisticated mathematical models to thoroughly outperform a quantum computer on a task that some thought only quantum computers could solve.

Oct 25, 2024

If the Universe Is a Hologram, This Long-Forgotten Math Could Decode It

Posted by in categories: holograms, mathematics, quantum physics, space

A 1930s-era breakthrough is helping physicists understand how quantum threads could weave together into a holographic space-time fabric.

Oct 23, 2024

Meta AI tackles maths problems that stumped humans for over a century

Posted by in categories: mathematics, robotics/AI

A type of mathematical problem that was previously impossible to solve can now be successfully analysed with artificial intelligence.

By Chris Stokel-Walker

Oct 21, 2024

Srinivasa Ramanujan Was a Genius. Math Is Still Catching Up

Posted by in category: mathematics

Srinivasa Ramanujan embodies the myth of the self-taught genius.


Born poor in colonial India and dead at 32, Ramanujan had fantastical, out-of-nowhere visions that continue to shape the field today.

Oct 17, 2024

Big Advance on Simple-Sounding Math Problem Was a Century in the Making

Posted by in category: mathematics

On their own, addition and multiplication are simple operations. But the relationship between them is a complicated mystery that mathematicians are still working to understand.


A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture.

Oct 16, 2024

Quantum theory is challenging long-standing ideas about entropy

Posted by in categories: mathematics, quantum physics

A mathematical study finds that three definitions of what it means for entropy to increase, which have previously been considered equivalent, can produce different results in the quantum realm.

By Karmela Padavic-Callaghan

Oct 16, 2024

CERN Just Found Ultra-Rare Particle, Which Is Creating New Physics

Posted by in categories: mathematics, particle physics

In a particle collider at CERN, a rarely-seen event is bringing us tantalizingly close to the brink of new physics.

From years of running what is known as the NA62 experiment, particle physicist Cristina Lazzeroni of the University of Birmingham in the UK and her colleagues have now established, experimentally observed, and measured the decay of a charged kaon particle into a charged pion and a neutrino-antineutrino pair. The researchers have presented their findings at a CERN seminar.

It’s exciting stuff. The reason the team has been pursuing this very specific kind of decay channel so relentlessly for more than a decade is because it’s what is known as a “golden” channel, meaning not only is it incredibly rare, but also well predicted by the complex mathematics making up the Standard Model of physics.

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