Menu

Blog

Archive for the ‘mathematics’ category: Page 34

Dec 7, 2023

Quantum ‘magic’ could help explain the origin of spacetime

Posted by in categories: cosmology, mathematics, particle physics, quantum physics

A quantum property dubbed “magic” could be the key to explaining how space and time emerged, a new mathematical analysis by three RIKEN physicists suggests. The research is published in the journal Physical Review D.

It’s hard to conceive of anything more basic than the fabric of spacetime that underpins the universe, but have been questioning this assumption. “Physicists have long been fascinated about the possibility that space and time are not fundamental, but rather are derived from something deeper,” says Kanato Goto of the RIKEN Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS).

This notion received a boost in the 1990s, when theoretical physicist Juan Maldacena related the gravitational theory that governs spacetime to a theory involving . In particular, he imagined a hypothetical space—which can be pictured as being enclosed in something like an infinite soup can, or “bulk”—holding objects like that are acted on by gravity. Maldacena also imagined particles moving on the surface of the can, controlled by . He realized that mathematically a used to describe the particles on the boundary is equivalent to a gravitational theory describing the black holes and spacetime inside the bulk.

Dec 7, 2023

Wormholes help resolve black hole information paradox

Posted by in categories: cosmology, mathematics, quantum physics

A RIKEN physicist and two colleagues have found that a wormhole—a bridge connecting distant regions of the Universe—helps to shed light on the mystery of what happens to information about matter consumed by black holes.

Einstein’s theory of predicts that nothing that falls into a black hole can escape its clutches. But in the 1970s, Stephen Hawking calculated that black holes should emit radiation when , the theory governing the microscopic realm, is considered. “This is called black hole evaporation because the black hole shrinks, just like an evaporating water droplet,” explains Kanato Goto of the RIKEN Interdisciplinary Theoretical and Mathematical Sciences.

This, however, led to a paradox. Eventually, the black hole will evaporate entirely—and so too will any information about its swallowed contents. But this contradicts a fundamental dictum of quantum physics: that information cannot vanish from the Universe. “This suggests that general relativity and quantum mechanics as they currently stand are inconsistent with each other,” says Goto. “We have to find a unified framework for quantum gravity.”

Dec 6, 2023

IBM finally unveils quantum powerhouse, a 1,000+ qubit processor

Posted by in categories: biotech/medical, mathematics, quantum physics, supercomputing

With a processor that has fewer qubits, IBM has improved error correction, paving the way for the use of these processors in real life.


IBM has unveiled its much-awaited 1,000+ qubit quantum processor Condor, alongside a utility-scale processor dubbed IBM Quantum Heron at its Quantum Summit in New York. The latter is the first in the series of utility-scale quantum processors that IBM took four years to build, the company said in a press release.

Continue reading “IBM finally unveils quantum powerhouse, a 1,000+ qubit processor” »

Dec 5, 2023

Astronomers Discover Rare Solar System Where Planets Orbit in Mathematical Harmony

Posted by in categories: mathematics, space

The ‘resonant’ planets could provide insight about how such systems form and evolve—and why our own solar system is not synced up.

Dec 3, 2023

Edge of Chaos Theory | Cellular Automata, Wolfram, & Psychology

Posted by in categories: mathematics, philosophy

Order vs Disorder, Jordan Peterson’s Yin Yang analogy, & Stephen Wolfram’s 4 classes of cellular automata are explored. The edge of chaos is the phase transition zone between order and disorder which is found across a broad range of complex systems. We discuss Norman Packard, Christopher Langton, John Beggs, Stuart Kauffman, Mihaly Csikszentmihalyi, and M. Mitchell Waldrop. Wolfram’s Rule 110 and John Conway’s Game of Life, both Turing complete, make appearances.

0:00 Intro.
0:59 Lambda & Wolfram’s 4 Classes.
3:32 Criticality, Avalanches, & John Beggs.
4:44 Homework? More like FUNwork!
5:08 Flow by Mihaly Csikszentmihalyi.
5:35 Jordan Peterson (Yin-Yang)
9:39 M. Mitchell Waldrop’s Complexity.

Continue reading “Edge of Chaos Theory | Cellular Automata, Wolfram, & Psychology” »

Nov 28, 2023

Why mathematical truths exist with or without minds to consider them

Posted by in categories: mathematics, quantum physics

What can a quantum information theorist say about the certainty of arithmetic and the universality of mathematical truth?

Nov 28, 2023

Contrary to reports, OpenAI probably isn’t building humanity-threatening AI

Posted by in categories: education, mathematics, robotics/AI

Has OpenAI invented an AI technology with the potential to “threaten humanity”? From some of the recent headlines, you might be inclined to think so.

Reuters and The Information first reported last week that several OpenAI staff members had, in a letter to the AI startup’s board of directors, flagged the “prowess” and “potential danger” of an internal research project known as “Q*.” This AI project, according to the reporting, could solve certain math problems — albeit only at grade-school level — but had in the researchers’ opinion a chance of building toward an elusive technical breakthrough.

Continue reading “Contrary to reports, OpenAI probably isn’t building humanity-threatening AI” »

Nov 27, 2023

Unpacking the hype around OpenAI’s rumored new Q* model

Posted by in categories: education, mathematics, robotics/AI

If OpenAI’s new model can solve grade-school math, it could pave the way for more powerful systems.

Ever since last week’s dramatic events at OpenAI, the rumor mill has been in overdrive about why the company’s chief scientific officer, Ilya Sutskever, and its board decided to oust CEO Sam Altman.

Nov 26, 2023

Variational Quantum Linear Solver

Posted by in categories: engineering, mathematics, quantum physics, supercomputing

Carlos Bravo-Prieto1,2,3, Ryan LaRose4, M. Cerezo1,5, Yigit Subasi6, Lukasz Cincio1, and Patrick J. Coles1

1Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87,545, USA. 2 Barcelona Supercomputing Center, Barcelona, Spain. 3 Institut de Ciències del Cosmos, Universitat de Barcelona, Barcelona, Spain. 4 Department of Computational Mathematics, Science, and Engineering & Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48,823, USA. 5 Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, USA 6 Computer, Computational and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, NM 87,545, USA

Get full text pdfRead on arXiv Vanity.

Nov 24, 2023

The Future of Biology: Decoding Cell and Tissue Mechanics in 3D With Active Matter Theory

Posted by in categories: biological, information science, mathematics, supercomputing

Open-source supercomputer algorithm predicts patterning and dynamics of living materials and enables studying their behavior in space and time.

Biological materials are made of individual components, including tiny motors that convert fuel into motion. This creates patterns of movement, and the material shapes itself with coherent flows by constant consumption of energy. Such continuously driven materials are called “active matter.” The mechanics of cells and tissues can be described by active matter theory, a scientific framework to understand shape, flows, and form of living materials. The active matter theory consists of many challenging mathematical equations.

Scientists from the Max Planck Institute of Molecular Cell.

Page 34 of 153First3132333435363738Last