Menu

Blog

Archive for the ‘mathematics’ category: Page 123

Mar 25, 2020

Is nonlocality inherent in all identical particles in the universe?

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

What is interaction, and when does it occur? Intuition suggests that the necessary condition for the interaction of independently created particles is their direct touch or contact through physical force carriers. In quantum mechanics, the result of the interaction is entanglement—the appearance of non-classical correlations in the system. It seems that quantum theory allows entanglement of independent particles without any contact. The fundamental identity of particles of the same kind is responsible for this phenomenon.

Quantum mechanics is currently the best and most accurate theory used by physicists to describe the world around us. Its characteristic feature, however, is the abstract mathematical language of , notoriously leading to serious interpretational problems. The view of reality proposed by this theory is still a subject of scientific dispute that, over time, is only becoming hotter and more interesting. New research motivation and intriguing questions are brought forth by a fresh perspective resulting from the standpoint of quantum information and the enormous progress of experimental techniques. These allow verification of the conclusions drawn from subtle thought experiments directly related to the problem of interpretation. Moreover, researchers are now making enormous progress in the field of quantum communication and quantum computer technology, which significantly draws on non-classical resources offered by quantum mechanics.

Pawel Blasiak from the Institute of Nuclear Physics of the Polish Academy of Sciences in Krakow and Marcin Markiewicz from the University of Gdansk focus on analyzing widely accepted paradigms and theoretical concepts regarding the basics and interpretation of quantum mechanics. The researchers are trying to determine to what extent the intuitions used to describe quantum mechanical processes are justified in a realistic view of the world. For this purpose, they try to clarify specific theoretical ideas, often functioning in the form of vague intuitions, using the language of mathematics. This approach often results in the appearance of inspiring paradoxes. Of course, the more basic the concept to which a given paradox relates, the better, because it opens up new doors to deeper understanding a given problem.

Mar 24, 2020

A Letter About Coronavirus, the Longevity Movement, & Why Quarantining is Killing Us

Posted by in categories: biotech/medical, economics, employment, mathematics, transhumanism

I have not been a supporter of an extended public quarantine or shut down, if any. There are a number of reasons why (governments steal liberty during such times; national debt increases and is used to the point of total socialism; inequality becomes permanent; etc), but in this letter below to everyone I want to talk specifically about why a quarantine is ultimately harming the life extension and #transhumanism movements. Don’t ever forget, we are in a race to save the lives of “everyone” right now with the plague of aging, not just those who might get #coronavirus.


Dear Fellow Humans.

If you believe in the life extension movement of trying to live indefinitely through science and technology, then you likely should not support the worldwide quarantine (at least don’t support it over 14 days in the West where we don’t have the ability to do it as efficiently as Asia). It’s horrible that so many lives will be lost by COVID-19, but in a worse-case scenario it’s likely 100 million people will die globally (mostly older people who have only a few years left to live due to their underlying medical conditions of aging — and who have likely been kept alive due to science and 21st Century medicine anyway). But the damage we could cause (and almost certainly are causing) with the quarantine and shut down to the US and global economy may cost the life extension movement and its scientific research possibly three to five years of progress — because the funding, projects, and jobs around the anti-aging industry will disappear for a notable time. The math shows that if we achieve indefinite lifespans for the human race by the year 2035 vs 2040, approximately 250 million lives will be spared and could then go on indefinitely. The aging math (or life hours) for any transhumanist shows that if we care about human life and longevity — about how long people alive today live — then we should not quarantine the world right now, but get the economy going again as a first priority so that we may fund the future of anti-aging science for the species. Some of us call this reasoning the Transhumanist Wager. For the sake of everyone alive today, it must be acknowledged that there is a dramatically larger percent gain (many thousands of percent) of overall life years for our species by not quarantining and shutting down the world. This is all a horrible scenario, and one I am terribly sad to share with you, but that doesn’t mean we should cower from facts. We owe our species the most courageous decision for its long-term longevity of all its living citizens.

Continue reading “A Letter About Coronavirus, the Longevity Movement, & Why Quarantining is Killing Us” »

Mar 21, 2020

Two Probability Pioneers Just Won the Math Version of the Nobel Prize

Posted by in categories: computing, mathematics

Two retired professors are sharing the mathematics version of the Nobel Prize for their lifelong contributions to the changing nature of math in the computing age. Both Hillel Furstenberg and Gregory Margulis spent decades applying ideas from probability theory to different kinds of discrete mathematics in order to shake loose new ways to solve seemingly intractable problems. The Abel Prize, awarded since just 2003, honors career mathematical accomplishments with a prize of about $700,000.

Wait—there’s not a Nobel Prize for mathematics? It’s true, and although you may have heard a lascivious story to explain why, no one really knows for sure.

Mar 12, 2020

Scientists discover the mathematical rules underpinning brain growth

Posted by in categories: bioengineering, biotech/medical, mathematics

Life is rife with patterns. It’s common for living things to create a repeating series of similar features as they grow: think of feathers that vary slightly in length on a bird’s wing or shorter and longer petals on a rose.

It turns out the brain is no different. By employing advanced microscopy and mathematical modeling, Stanford researchers have discovered a pattern that governs the growth of brain cells or . Similar rules could guide the development of other cells within the body, and understanding them could be important for successfully bioengineering artificial tissues and organs.

Their study, published in Nature Physics, builds on the fact that the brain contains many different types of neurons and that it takes several types working in concert to perform any tasks. The researchers wanted to uncover the invisible growth patterns that enable the right kinds of neurons to arrange themselves into the right positions to build a brain.

Mar 10, 2020

Lowly Slime Mold Enables New Map Of Local Cosmic Web

Posted by in categories: mathematics, space

Using data from the Hubble Space Telescope’s Cosmic Origins Spectrograph, the team was able to observe the distinctive absorption signature in the spectrum of light that passes through it, and the sight-lines of hundreds of distant quasars that pierce the volume of space occupied by the SDSS galaxies, says the university.

This lowly slime mold does a good job of characterizing the large-scale structure of the Universe over a wide range of scale, Burchett told me.

“I see how it works from a mathematical and [topological] perspective, but that doesn’t diminish my continued amazement that the slime mold-inspired method handles this difficult problem so elegantly and efficiently,” Burchett told me.

Mar 7, 2020

Reality is an Infinite Consciousness Exploring Itself Forever. Neuroscientist Donald Hoffman on “Conscious Realism”

Posted by in categories: mathematics, space

For all of science’s impressive advancements, one problem has stubbornly eluded us: Why do we have consciousness? How does inert unconscious matter give rise to the light of conscious experience? Neuroscientist Donald Hoffman has been pondering this question throughout his career. His thinking has gradually led him to a surprising possibility — that consciousness itself is fundamental to reality. Donald’s theory, however, differs from that of the growing number of other scientists and philosophers now arriving at this conclusion.

“We’ve been stuck on the same problem for centuries. It’s time to take a different approach.”

The fundamental nature of reality, Donald theorizes, is comprised of an infinite network of interacting conscious agents. Uniquely, Donald offers a precise mathematical definition of a conscious agent. He believes the theory may be used to reconstruct the universe and existing scientific discoveries purely through the interaction of these units of consciousness.

Mar 6, 2020

The Man Who Cracked The Code to Everything …

Posted by in categories: alien life, computing, mathematics, particle physics

Circa 2002 4 lines of code to solve everything.


… But first it cracked him. The inside story of how Stephen went from boy genius to recluse to science renegade.

Word had been out that Stephen, the onetime enfant terrible of the science world, was working on a book that would Say It All, a paradigm-busting tome that would not only be the definitive account on complexity theory but also the opening gambit in a new way to view the universe. But no one had read it.

Continue reading “The Man Who Cracked The Code to Everything ...” »

Feb 26, 2020

Katherine Johnson, famed NASA mathematician and inspiration for the film ‘Hidden Figures,’ is dead at 101

Posted by in categories: computing, mathematics, space travel

NASA announced Johnson’s death on Monday.

Johnson was part of NASA’s “Computer Pool,” a group of mathematicians whose data powered NASA’s first successful space missions. The group’s success largely hinged on the accomplishments of its black women members.


Johnson was among a group of black women mathematicians who helped power NASA’s space travel in the early 1960s when the agency was still segregated.

Feb 25, 2020

Computer modeling brings simple, efficient rocket engine closer to reality

Posted by in categories: computing, mathematics, space travel

https://youtube.com/watch?v=zXSsd7uXjt8

Engineers at the University of Washington are working on a new type of rocket engine that holds the promise of being lighter, more efficient, and simpler to make than conventional liquid-fuel rockets. Called a Rotational Detonation Engine (RDE), one of the biggest hurdles to making it practical is to develop mathematical models that can describe how the very unpredictable engine design works in order to make it more stable.

An RDE is a rocket engine that is similar to the pulse jet engines that powered the infamous German V1 cruise missile of the Second World War, which used a simple combustion chamber with an exhaust pipe at one end and spring-mounted slats on the front face. In operation, air would come in through the slats, mix with fuel, which was then detonated, producing a pulse of thrust. An RDE takes this idea one step further.

Continue reading “Computer modeling brings simple, efficient rocket engine closer to reality” »

Feb 25, 2020

Progressing Towards Assuredly Safer Autonomous Systems

Posted by in categories: information science, mathematics, robotics/AI, transportation

The sophistication of autonomous systems currently being developed across various domains and industries has markedly increased in recent years, due in large part to advances in computing, modeling, sensing, and other technologies. While much of the technology that has enabled this technical revolution has moved forward expeditiously, formal safety assurances for these systems still lag behind. This is largely due to their reliance on data-driven machine learning (ML) technologies, which are inherently unpredictable and lack the necessary mathematical framework to provide guarantees on correctness. Without assurances, trust in any learning enabled cyber physical system’s (LE-CPS’s) safety and correct operation is limited, impeding their broad deployment and adoption for critical defense situations or capabilities.

To address this challenge, DARPA’s Assured Autonomy program is working to provide continual assurance of an LE-CPS’s safety and functional correctness, both at the time of its design and while operational. The program is developing mathematically verifiable approaches and tools that can be applied to different types and applications of data-driven ML algorithms in these systems to enhance their autonomy and assure they are achieving an acceptable level of safety. To help ground the research objectives, the program is prioritizing challenge problems in the defense-relevant autonomous vehicle space, specifically related to air, land, and underwater platforms.

The first phase of the Assured Autonomy program recently concluded. To assess the technologies in development, research teams integrated them into a small number of autonomous demonstration systems and evaluated each against various defense-relevant challenges. After 18 months of research and development on the assurance methods, tools, and learning enabled capabilities (LECs), the program is exhibiting early signs of progress.