Mathematical solutions to thorny quantum problems can be found more quickly by exploiting the correspondence between the statistical methods used in deep learning and techniques for implementing quantum simulations, a team led by a RIKEN researcher has shown in a new study published in the Journal of High Energy Physics.
Professor Donald Hoffman is a cognitive neuroscientist and the author of more than 90 scientific papers and three books, including Visual Intelligence and The Case Against Reality.
He is best known for his theory of consciousness, which combines evolutionary theory with mathematics to make a compelling case that the reality we see every day is an illusion created by our minds.
Dr. Asela Abeya, of SUNY Poly faculty in the Department of Mathematics and Physics, has collaborated with peers at the University at Buffalo and Rensselaer Polytechnic Institute on a research paper titled “On Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background,” which has been published in Communications in Mathematical Physics.
Mathematics application to a new understanding thd world and life and information.
Dr. David Spivak introduces himself as a keynote speaker at the 17th Annual Artificial General Intelligence Conference in Seattle and shares his lifelong passion for math. He discusses his journey from feeling insecure about the world as a child, to grounding his understanding in mathematics.
face_with_colon_three steps towards infinity getting much closer to the solution with reinmans hypothesis: D.
Just as molecules are composed of atoms, in math, every natural number can be broken down into its prime factors—those that are divisible only by themselves and 1. Mathematicians want to understand how primes are distributed along the number line, in the hope of revealing an organizing principle for the atoms of arithmetic.
“At first sight, they look pretty random,” says James Maynard, a mathematician at the University of Oxford. “But actually, there’s believed to be this hidden structure within the prime numbers.”
A discrepancy between mathematics and physics has plagued astrophysicists’ understanding of how supermassive black holes merge, but dark matter may have the answer.
A mathematical model suggests there is an unusual region of space where objects can get pulled into the sun’s orbit – meaning we may have to redraw the boundary of the solar system.
AI models can easily generate essays and other types of text. However, they’re nowhere near as good at solving math problems, which tend to involve logical reasoning—something that’s beyond the capabilities of most current AI systems.
But that may finally be changing. Google DeepMind says it has trained two specialized AI systems to solve complex math problems involving advanced reasoning. The systems—called AlphaProof and AlphaGeometry 2—worked together to successfully solve four out of six problems from this year’s International Mathematical Olympiad (IMO), a prestigious competition for high school students. They won the equivalent of a silver medal.
Scientists all over the world use modeling approaches to understand complex natural systems such as climate systems or neuronal or biochemical networks. A team of researchers has now developed a new mathematical framework that explains, for the first time, a mechanism behind long transient behaviors in complex systems.
In this thought-provoking exploration, we delve into the profound reflections of Edward Witten, a leading figure in theoretical physics. Join us as we navigate the complexities of dualities, the enigmatic nature of M-theory, and the intriguing concept of emergent space-time. Witten, the only physicist to win the prestigious Fields Medal, offers deep insights into the mathematical and physical mysteries that shape our understanding of reality. From the holographic principle to the elusive (2,0) theory, we uncover how these advanced theories interconnect and challenge our conventional perceptions. This journey is not just a deep dive into high-level physics but a philosophical quest to grasp the nature of existence itself. Read the full interview here: https://www.quantamagazine.org/edward…
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