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Archive for the ‘mathematics’ category: Page 41

Oct 16, 2023

Saturday Citations: Gravitational waves, time travel and the simulated universe hypothesis

Posted by in categories: alien life, computing, mathematics, physics, time travel

This week, researchers proved empirically that life isn’t fair. Also, you’ll notice that, in a superhuman display of restraint, I managed to write a paragraph about the simulated universe hypothesis without once referencing “The Matrix.” (Except for this reference.)

Oh, so a European research team has proven that flipped coins aren’t actually fair? Buddy, life isn’t fair! Do you think the world owes you two equally probable outcomes as established by an axiomatic mathematical formalization? When I was a kid, we didn’t even have coins! We had to roll dice! It took 10 minutes to start a football game! Oh, so a coin is very slightly more likely to land on the same face as its initial position? Quit crying! It’s only a meaningful bias if you flip a coin multiple times!

Applying a recently discovered physical law, a physicist at the University of Portsmouth has contributed to the discussion about whether or not the universe is a simulation. The simulated universe hypothesis proposes that the universe is actually a simulation running on a vastly complex computing substrate and we’re therefore all just NPCs, walking through our animation loops and saying, “Hail, summoner! Conjure me up a warm bed!” and “Do you get to the Cloud District often?”

Oct 13, 2023

Could AI communicate with aliens better than we could?

Posted by in categories: alien life, mathematics, robotics/AI

Consider the potential problems. Number one would be that any potential aliens we encounter won’t be speaking a human language. Number two would be the lack of knowledge about the aliens’ culture or sociology — even if we could translate, we might not understand what relevance it has to their cultural touchstones.

Eamonn Kerins, an astrophysicist from the Jodrell Bank Centre for Astrophysics at the University of Manchester in the U.K., thinks that the aliens themselves might recognize these limitations and opt to do some of the heavy lifting for us by making their message as simple as possible.

“One might hope that aliens who want to establish contact might be attempting to make their signal as universally understandable as possible,” said Kerins in a Zoom interview. “Maybe it’s something as basic as a mathematical sequence, and already that conveys the one message that perhaps they hoped to send in the first place, which is that we’re here, you’re not alone.”

Oct 12, 2023

Echoes of Electromagnetism Found in Number Theory

Posted by in category: mathematics

A new magnum opus posits the existence of a hidden mathematical link akin to the connection between electricity and magnetism.

Oct 11, 2023

The biological blueprint of arithmetic: Unveiling the connection between evolutionary perception and mathematics

Posted by in categories: biological, mathematics

Arithmetic, rooted in our biological perception, is a natural consequence of how we perceive and organize the world around us. This connection between perception and mathematical truths suggests that mathematics is both a uniquely human invention and a universal discovery, highlighting a profound unity between the mind and the physical universe…

Oct 11, 2023

Spacetime is just a headset: An interview with Donald Hoffman

Posted by in categories: mathematics, neuroscience, quantum physics

Prof. Donald Hoffman talks to Essentia Foundation’s Hans Busstra about his theory of conscious agents, according to which space and time are cognitive constructs in consciousness, not an objective scaffolding of the world outside. The interview also touches on Prof. Hoffman’s personal history and life, bringing the warmth of his humanity to the academic rigor of his theories.

00:00 Intro: Beyond the spacetime headset.
03:32 About Donalds personal background.
07:35 On the importance of mathematics.
13:22 Quantum theory and spacetime.
19:24 Why exactly is spacetime ‘doomed’?
24:34 Did physics ‘encounter’ consciousness in quantum theory?
32:49 On heavy vs light metaphysical claims.
37:36 How is your theory affecting your personal life?
42:17 Is The Matrix a good metaphor?
46:38 How can the space time interface affect consciousness?
53:09 What makes you say that if spacetime is not fundamental, consciousness must be fundamental?
55:44 Physicalism fails to give an accurate model of consciousness… 1:00:24 How can we put the spacetime headset off? 05:39 Beyond the spacetime fantasies of Christopher Nolan and the Matrix… 1:09:27 The ontology of conscious agents 1:15:05 Are meditation and psychedelics ‘hacks’ in the interface? 1:21:41 Should we revalue religious and mystic literature? 1:29:54 Could idealism as a worldview help us better solve the challenges humanity faces? 1:34:23 The role of mathematics in bringing together science and spirituality Copyright © 2022 by Essentia Foundation. All rights reserved. https://www.essentiafoundation.org.
1:00:24 How can we put the spacetime headset off?
05:39 Beyond the spacetime fantasies of Christopher Nolan and the Matrix…
1:09:27 The ontology of conscious agents.
1:15:05 Are meditation and psychedelics ‘hacks’ in the interface?
1:21:41 Should we revalue religious and mystic literature?
1:29:54 Could idealism as a worldview help us better solve the challenges humanity faces?
1:34:23 The role of mathematics in bringing together science and spirituality.

Continue reading “Spacetime is just a headset: An interview with Donald Hoffman” »

Oct 8, 2023

John Wheeler — Kurt Gödel and the Closed Time-like Line

Posted by in categories: alien life, health, mathematics, quantum physics

To listen to more of John Wheeler’s stories, go to the playlist: https://www.youtube.com/playlist?list=PLVV0r6CmEsFzVlqiUh95Q881umWUPjQbB

American physicist, John Wheeler (1911−2008), made seminal contributions to the theories of quantum gravity and nuclear fission, but is best known for coining the term ‘black holes’. A keen teacher and mentor, he was also a key figure in the Manhattan Project. [Listener: Ken Ford]

Continue reading “John Wheeler — Kurt Gödel and the Closed Time-like Line” »

Oct 6, 2023

New technique based on 18th-century mathematics shows simpler AI models don’t need deep learning

Posted by in categories: information science, mathematics, media & arts, robotics/AI

Researchers from the University of Jyväskylä were able to simplify the most popular technique of artificial intelligence, deep learning, using 18th-century mathematics. They also found that classical training algorithms that date back 50 years work better than the more recently popular techniques. Their simpler approach advances green IT and is easier to use and understand.

The recent success of artificial intelligence is significantly based on the use of one core technique: . Deep learning refers to techniques where networks with a large number of data processing layers are trained using massive datasets and a substantial amount of computational resources.

Deep learning enables computers to perform such as analyzing and generating images and music, playing digitized games and, most recently in connection with ChatGPT and other generative AI techniques, acting as a conversational agent that provides high-quality summaries of existing knowledge.

Oct 6, 2023

Behold Modular Forms, the ‘Fifth Fundamental Operation’ of Math

Posted by in category: mathematics

Modular forms are one of the most beautiful and mysterious objects in mathematics. What are they?

Oct 4, 2023

People with autistic traits tend to have higher intolerance of uncertainty, leading to dichotomous thinking

Posted by in categories: mathematics, space

A study conducted in Japan has found that individuals exhibiting strong autistic traits are often inclined towards dichotomous thinking. The research suggests that these autistic traits might lead to a heightened intolerance of uncertainty, subsequently increasing the propensity for dichotomous thinking. The study was published in Scientific Reports.

Autism Spectrum Disorder (ASD) is a complex neurodevelopmental condition characterized by a wide range of symptoms and challenges. Individuals with autism spectrum disorder typically have restricted interests, difficulties in social interaction and communication. The severity of these challenges can vary greatly from person to person. Some individuals with ASD may have significant language delays and struggle with everyday social interactions, while others may have milder symptoms and excel in certain areas, such as mathematics or art.

Aside from atypical social functioning, autistic individuals tend to exhibit a thinking pattern known as dichotomous, “black-and-white”, or binary thinking. This is a form of cognitive distortion wherein an individual perceives things in a binary way – either black or white, good or bad. There is no middle zone or space for any nuances. The result of this thinking pattern is that the person oversimplifies very complex issues, leading often to inappropriate or obviously poor decisions.

Oct 3, 2023

Quantum Computers Could Crack Encryption Sooner Than Expected With New Algorithm

Posted by in categories: encryption, information science, mathematics, quantum physics, robotics/AI

One of the most well-established and disruptive uses for a future quantum computer is the ability to crack encryption. A new algorithm could significantly lower the barrier to achieving this.

Despite all the hype around quantum computing, there are still significant question marks around what quantum computers will actually be useful for. There are hopes they could accelerate everything from optimization processes to machine learning, but how much easier and faster they’ll be remains unclear in many cases.

One thing is pretty certain though: A sufficiently powerful quantum computer could render our leading cryptographic schemes worthless. While the mathematical puzzles underpinning them are virtually unsolvable by classical computers, they would be entirely tractable for a large enough quantum computer. That’s a problem because these schemes secure most of our information online.

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