Archive for the ‘mathematics’ category: Page 39

Dec 8, 2022

Levitation Breakthrough Achieved in New Study of Acoustic Radiation Force Phenomenon

Posted by in categories: mathematics, particle physics

Scientists with the University of Technology Sydney (UTS) and the University of New South Wales (UNSW) have developed a method that helps to fine-tune the control of particles using ultrasonic waves according to new research, which they say expands our understanding of the field of acoustic levitation.

The levitation of objects, once a phenomenon seen only in science fiction and fantasy, now represents a field in acoustics with practical applications in multiple research areas, industries, and even among hobbyists. However, the use of high-intensity sound waves to suspend small objects in the air is nothing new. The theoretical basis for overcoming gravity with the help of acoustic radiation pressure goes as far back as the 1930s, when researcher Louis King first studied the suspension of particles in the field of a sound wave, and how this demonstrates acoustic radiation force being exerted against them.

Later calculations beginning in the 1950s helped to further refine our understanding of the acoustic radiation force produced by the scattering of sound waves. However, the modern foundation for acoustic levitation science draws mainly from the work of superconductivity pioneer Lev. P. Gorkov, who was the first to synthesize previous studies and provide a solid mathematical basis for the phenomenon.

Dec 8, 2022

The process algebra model: A new way of constructing reality

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

The concept of ‘anti-realism’ is widely seen as a fact of life for many physicists studying the mysterious effects of quantum mechanics. However, it also seems to contradict the assumptions of many other fields of research. In his research, Dr William Sulis at McMaster University in Canada explores the issue from a new perspective, by using a novel mathematical toolset named the ‘process algebra model’. In suggesting that reality itself is generated by interacting processes more fundamental than quantum particles, his theories could improve researchers’ understanding of fundamental processes in a wide variety of fields.

The concept of ‘locality’ states that objects and processes can only be influenced by other objects and processes in their immediate surroundings. It is a fundamental aspect of many fields of research and underpins all of the most complex systems we observe in nature, including living organisms. “Biologists and psychologists have known for centuries that the physical world is dominated by processes which are characterized by factors including transformation, interdependence, and information”, Dr Sulis explains. “Organisms are born, develop, continually exchange physical components and information with their environment, and eventually die.”

Beyond biology, the principle of locality also extends to Einstein’s theory of special relativity. Since the speed of light sets a fundamental speed limit on all processes in the universe, the theory states that no process can occur if it has not been triggered by another event in its past, at a close enough distance for light to travel between them within the time separating them. In general, these theories are unified by a concept which physicists call ‘realism’. Yet despite this seemingly intuitive rule, physicists have increasingly come to accept the idea that it doesn’t present a full description of how all processes unfold.

Dec 5, 2022

How Features of Our Consciousness Seem to Define Our Laws of Physics and Maths (Stephen Wolfram)

Posted by in categories: computing, mathematics, neuroscience, physics

Our Wolfram Physics Project has provided a surprisingly successful picture of the underlying (deeply computational) structure of our physical universe. I’ll talk here about how our perception of that underlying structure is determined by what seem to be key features of our consciousness—and how this leads to detailed laws of physics as we experience them. Our Physics Project has led to the concept of the ruliad—the entangled limit of all possible computations—which seems to represent a common underlying structure from which both physics and mathematics emerge. I’ll talk about the comparison between physical and mathematical observers, and how their common features in consciousness lead to implications for general laws of “bulk mathematics”.

Dec 5, 2022

Stephen Wolfram on the Wolfram Physics TOE, Blackholes, Infinity, and Consciousness

Posted by in categories: alien life, cryptocurrencies, economics, information science, mathematics, particle physics, robotics/AI

Stephen Wolfram is at his jovial peak in this technical interview regarding the Wolfram Physics project (theory of everything).
Sponsors: for 20% off. for supply chain AI.

Link to the Wolfram project:

Continue reading “Stephen Wolfram on the Wolfram Physics TOE, Blackholes, Infinity, and Consciousness” »

Dec 3, 2022

‘Infinity Computer’ Calculates Area Of Sierpinski Carpet Exactly

Posted by in categories: computing, mathematics

Year 2012 😗

A Sierpinksi carpet is one of the more famous fractal objects in mathematics. Creating one is an iterative procedure. Start with a square, divide it into nine equal squares and remove the central one. That leaves eight squares around a central square hole. In the next iteration, repeat this process with each of the eight remaining squares and so on (see above). One interesting problem is to find the area of a Sierpinski triangle. Clearly this changes with each iteration. Assuming the original square has area equal to 1, the area after the first iteration is 8/9. After the second iteration, it is (8÷9)^2; after the third it is (8÷9)^3 and so on.

Nov 28, 2022

Predicting the Structures of Proteins

Posted by in categories: bioengineering, biological, mathematics, physics, robotics/AI

Kathryn Tunyasuvunakool grew up surrounded by scientific activities carried out at home by her mother—who went to university a few years after Tunyasuvunakool was born. One day a pendulum hung from a ceiling in her family’s home, Tunyasuvunakool’s mother standing next to it, timing the swings for a science assignment. Another day, fossil samples littered the dining table, her mother scrutinizing their patterns for a report. This early exposure to science imbued Tunyasuvunakool with the idea that science was fun and that having a career in science was an attainable goal. “From early on I was desperate to go to university and be a scientist,” she says.

Tunyasuvunakool fulfilled that ambition, studying math as an undergraduate, and computational biology as a graduate student. During her PhD work she helped create a model that captured various elements of the development of a soil-inhabiting roundworm called Caenorhabditis elegans, a popular organism for both biologists and physicists to study. She also developed a love for programming, which, she says, lent itself naturally to a jump into software engineering. Today Tunyasuvunakool is part of the team behind DeepMind’s AlphaFold—a protein-structure-prediction tool. Physics Magazine spoke to her to find out more about this software, which recently won two of its makers a Breakthrough Prize, and about why she’s excited for the potential discoveries it could enable.

All interviews are edited for brevity and clarity.

Nov 26, 2022

Mathematics and sex | Clio Cresswell | TEDxSydney

Posted by in categories: evolution, mathematics, neuroscience, sex

Never miss a talk! SUBSCRIBE to the TEDx channel:

Mathematics and sex are deeply intertwined. From using mathematics to reveal patterns in our sex lives, to using sex to prime our brain for certain types of problems, to understanding them both in terms of the evolutionary roots of our brain, Dr Clio Cresswell shares her insight into it all.

Continue reading “Mathematics and sex | Clio Cresswell | TEDxSydney” »

Nov 24, 2022

A New Sound Levitation Breakthrough

Posted by in categories: biological, mathematics, particle physics

Sound waves, like an invisible pair of tweezers, can be used to levitate small objects in the air. Although DIY acoustic levitation kits are readily available online, the technology has important applications in both research and industry, including the manipulation of delicate materials like biological cells.

Researchers at the University of Technology Sydney (UTS) and the University of New South Wales (UNSW) have recently demonstrated that in order to precisely control a particle using ultrasonic waves, it is necessary to take into account both the shape of the particle and how this affects the acoustic field. Their findings were recently published in the journal Physical Review Letters.

Sound levitation happens when sound waves interact and form a standing wave with nodes that can ‘trap’ a particle. Gorkov’s core theory of acoustophoresis, the current mathematical foundation for acoustic levitation, makes the assumption that the particle being trapped is a sphere.

Nov 24, 2022

Decades-old math theorem cracks US government encryption algorithm

Posted by in categories: computing, encryption, government, information science, mathematics, quantum physics, security

The information security landscape is rapidly changing in response to quantum computing technology, which is capable of cracking modern encryption techniques in minutes, but a promising US government encryption algorithm for the post-quantum world was just cracked in less than an hour thanks to a decades-old math theorem.

In July 2022, the US National Institute of Standards and Technology (NIST) chose a set of encryption algorithms that it hoped would stand up to the encryption-cracking power of quantum computers and tasked researchers with probing them for vulnerabilities, offering a $50,000 prize for anyone who was able to break the encryption.

Nov 24, 2022

Using math to decode biology’s programming language

Posted by in categories: biological, mathematics, media & arts

There is a deep root of mathematics within biology. How this came to be, you’ll have to watch the video to find out.

Created by Prompt Suathim (2nd year undergrad, Integrated Science, UBC)

Continue reading “Using math to decode biology’s programming language” »

Page 39 of 123First3637383940414243Last