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Category: mathematics – Page 75

A new design for an optical fiber borrows concepts from topology to protect light from imperfections in the fiber’s light-guiding materials or from distortions in its cross section.

Using concepts from the mathematical field of topology, researchers at the University of Bath, UK, have designed an optical fiber that can robustly propagate light, even if there are variations in the properties of its light-guiding materials or in its overall geometry [1]. The team thinks that this newfound topological protection could enable advances in optical communication and photonic quantum computing.

The concept of topology is often explained using a joke about a donut and a coffee cup. A coffee cup made of rubber can be continuously twisted and stretched—no cuts need to be made—so that it takes on the shape of a donut. Even though the object’s outline changes under this transformation, its essence remains the same—it contains one hole. Thus, the quip goes, a topologist cannot tell the difference between the two things.

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The michael shermer show # 294

What is time? Does the past still exist? How did the universe begin and how will it end? Do particles think? Was the universe made for us? Why doesn’t anyone ever get younger? Has physics ruled out free will? Will we ever have a theory of everything? According to Sabine Hossenfelder, it is not a coincidence that quantum entanglement and vacuum energy have become the go-to explanations of alternative healers, or that people believe their deceased grandmother is still alive because of quantum mechanics. Science and religion have the same roots, and they still tackle some of the same questions: Where do we come from? Where do we go to? How much can we know? The area of science that is closest to answering these questions is physics. Over the last century, physicists have learned a lot about which spiritual ideas are still compatible with the laws of nature. Not always, though, have they stayed on the scientific side of the debate.

Shermer and Hossenfelder also discuss: theories of everything • quantum flapdoodle • Is math all there is? Is math universal? • Uniformitarianism and the laws of nature • theories of aging • Emergent properties, or why we are not just a bag of atoms • Is knowledge predictable? • Free will and determinism from a physicist’s perspective • Do copies of us exist? Could they ever? • Consciousness and computability • Does the universe think? • Why is there something rather than nothing? • What is the purpose of life, the universe, and everything?

Sabine Hossenfelder is a research fellow at the Frankfurt Institute for Advanced Studies, Germany, and has published more than eighty research articles about the foundations of physics, including quantum gravity, physics beyond the standard model, dark matter, and quantum foundations. She has written about physics for a broad audience for 15 years and is the creator of the popular YouTube channel “Science without the Gobbledygook.” Her writing has been published in New Scientist, Scientific American, the New York Times, and the Guardian (London). Her first book, Lost in Math: How Beauty Leads Physics Astray, appeared in 2018.

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Continue reading “Free Will and Determinism from a Physicist’s Perspective (Sabine Hossenfelder)” | >

Working with hundreds of thousands of high-resolution images, researchers from the Allen Institute for Cell Science, a division of the Allen Institute, put numbers on the internal organization of human cells — a biological concept that has proven incredibly difficult to quantify until now.

The scientists also documented the diverse cell shapes of genetically identical cells grown under similar conditions in their work. Their findings were recently published in the journal Nature.

“The way cells are organized tells us something about their behavior and identity,” said Susanne Rafelski, Ph.D., Deputy Director of the Allen Institute for Cell Science, who led the study along with Senior Scientist Matheus Viana, Ph.D. “What’s been missing from the field, as we all try to understand how cells change in health and disease, is a rigorous way to deal with this kind of organization. We haven’t yet tapped into that information.”

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https://youtube.com/watch?v=V8cPdjO3a_U&feature=share

Find out what the world will be like a million years from now, as well as what kind of technology we’ll have available.
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Timestamps:
0:00 No Physical Bodies.
1:51 Wormhole Creation.
2:44 Travel At Speed Of Light.
3:21 Type 3 Civilization.
4:52 Gravitational Waves.
5:46 Computers the Size of Planets.
6:56 Computronium.

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This video describes the world and its technologies in a million years. Future technology, future technologies, tech universe, computronium, the world in a million years, digital immortality, wormhole, wormholes, faster than light, type 3 civilization, control gravity, planet sized computer, black hole energy extraction, black hole, black hole energy, and so on.

Continue reading “Future World: A Million Years Later — Artificial Intelligence Tech That Will Change The Universe” | >

This video explores what would happen if fusion power became a mainstream technology in 2070. Watch this next video about the world in 2070: https://bit.ly/3nYXvjf.
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• https://www.iter.org/sci/Fusion.

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Continue reading “Fusion Power: 10 Ways It Will Change The World” | >

Dr. Ben Goertzel.
SingularityNET

The Coming Consciousness Explosion.

Bio: Dr. Ben Goertzel is a cross-disciplinary scientist, entrepreneur and author. Born in Brazil to American parents, in 2020 after a long stretch living in Hong Kong he relocated his primary base of operations to the rural Seattle area. He leads the SingularityNET Foundation, the OpenCog Foundation, and the AGI Society which runs the annual Artificial General Intelligence conference.

Dr. Goertzel also chairs the futurist nonprofit Humanity+, and serves as Chief Scientist of AI firms Singularity Studio, Rejuve, SingularityDAO and Xccelerando Media, all parts of the SingularityNET ecosystem. As Chief Scientist of robotics firm Hanson Robotics, he led the software team behind the Sophia robot; as Chief AI Scientist of Awakening Health he leads the team crafting the mind behind Sophia’s little sister Grace.

Dr. Goertzel’s research work encompasses multiple areas including artificial general intelligence, natural language processing, cognitive science, machine learning, computational finance, bioinformatics, virtual worlds, gaming, parapsychology, theoretical physics and more. He has published 25+ scientific books, ~150 technical papers, and numerous journalistic articles, and given talks at a vast number of events of all sorts around the globe.

Before entering the software industry Dr. Goertzel obtained his PhD in mathematics from Temple University in 1989, and served as a university faculty in several departments of mathematics, computer science and cognitive science, in the US, Australia and New Zealand.

Continue reading “The Coming Consciousness Explosion | Dr. Ben Goertzel | SCS2022” | >

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Science Asylum video on Schrodinger Equation:

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CHAPTERS:
0:00 The most important motion in the universe.
1:08 How get energy and mental focus.
2:20 A spring: Classical simple harmonic oscillator.
4:48 QUANTUM Harmonic oscillator.
6:00 Science Asylum — what is the Schrodinger equation?
7:30 Quantum Field Theory (QFT) uses spring math!
10:00 Intuitive description of what’s going on!
12:37 What is really oscillating in QFT?

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Continue reading “Everything — Yes, Everything — is a SPRING! (Pretty much)” | >

Renowned physicist Neil Turok, Holder of the Higgs Chair of Theoretical Physics at the University of Edinburgh, joins me to discuss the state of science and the universe. is Physics in trouble? What hope is there to return to more productive and Simple theories? What is Peter Higgs up to?

Neil Turok has been director emeritus of the Perimeter Institute for Theoretical Physics since 2019. He specializes in mathematical physics and early-universe physics, including the cosmological constant and a cyclic model for the universe.

He has written several books including Endless Universe: Beyond the Big Bang and The Universe Within: From Quantum to Cosmos.

00:00:00 Intro.
00:03:28 What is the meaning of Neil’s book cover?
00:06:46 The Nature of the Endless Universe.
00:14:31 What would happen to James Clerk Maxwell and Michael Faraday on Twitter?
00:16:10 What’s wrong with physics today?
00:20:06 How did Neil’s life change after his theory was proven wrong?
00:23:28 Neil shows us fundamental laws of the Universe in equations.
00:33:59 How well do our modern equations satisfy the conditions of the observable Universe?
00:56:29 How is the Universe simple?
01:20:01 Can Neil’s model explain flatness without inflation?
01:54:54 Existential Questions on the meaning of life, advice to his former self, and things he’s changed his mind on.

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Continue reading “Neil Turok: Physics is in Crisis” | >

Warm dense matter (WDM) measures thousands of degrees in temperature and is under the pressure of thousands of Earth’s atmospheres. Found in many places throughout the universe, it is expected to have beneficial applications on Earth. However, its investigation is a challenge.

Even the temperature of a material under WDM conditions is anything but easy to determine. A team of researchers led by Dr. Tobias Dornheim from the Center for Advanced Systems Understanding (CASUS) at HZDR has demonstrated a mathematical solution that allows an accurate assessment of the temperature.

As the team points out in the journal Nature Communications, their method can readily be used at experimental facilities of matter research around the world and expedite the gain of scientific knowledge.

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