The accelerating effort to understand the mathematics of quantum field theory will have profound consequences for both math and physics.
Category: mathematics – Page 117
A Penn State scientist studying crystal structures has developed a new mathematical formula that may solve a decades-old problem in understanding spacetime, the fabric of the universe proposed in Einstein’s theories of relativity.
“Relativity tells us space and time can mix to form a single entity called spacetime, which is four-dimensional: three space-axes and one time-axis,” said Venkatraman Gopalan, professor of materials science and engineering and physics at Penn State. “However, something about the time-axis sticks out like sore thumb.”
For calculations to work within relativity, scientists must insert a negative sign on time values that they do not have to place on space values. Physicists have learned to work with the negative values, but it means that spacetime cannot be dealt with using traditional Euclidean geometry and instead must be viewed with the more complex hyperbolic geometry.
Quantum computing began in the early 1980s. It operates on principles of quantum physics rather than the limitations of circuits and electricity which is why it is capable of processing highly complex mathematical problems so efficiently. Quantum computing could one day achieve things that classical computing simply cannot. The evolution of quantum computers has been slow, but things are accelerating, thanks to the efforts of academic institutions such as Oxford, MIT, and the University of Waterloo, as well as companies like IBM, Microsoft, Google, and Honeywell.
IBM has held a leadership role in this innovation push and has named optimization as the most likely application for consumers and organizations alike.
Honeywell expects to release what it calls the “world’s most powerful quantum computer” for applications like fraud detection, optimization for trading strategies, security, machine learning, and chemistry and materials science.
These groups of brain cells are called “assemblies,” which Papadimitriou describes as “a highly connected, stable set of neurons which represent something: a word, an idea, an object, etc.”
Award-winning neuroscientist György Buzsáki describes assemblies as “the alphabet of the brain.”
The US Department of Energy on Thursday is officially dedicating Perlmutter, a next-generation supercomputer that will deliver nearly four exaflops of AI performance. The system, based at the National Energy Research Scientific Computing Center (NERSC) at Lawrence Berkeley National Laboratory, is the world’s fastest on the 16-bit and 32-bit mixed-precision math used for AI.
The HPE Cray system is being installed in two phases. Each of Phase 1’s GPU-accelerated nodes has four Nvidia A100 Tensor Core GPUs, for a total of 6159 Nvidia A100 Tensor Core GPUs. Each Phase 1 node also has a single AMD Milan CPU.
## MATHEMATICS • MAY 24, 2021
# *Noise is commonly discarded, but identifying patterns in noise can be very useful.*
*Generalize the Hearst exponent by adding more coefficients in order to get a more complete description of the changing data. This makes it possible to find patterns in the data that are usually considered noise and were previously impossible to analyze.*
*The development of this mathematical apparatus can solve the issue of parameterisation and analysis of processes for which there is no exact mathematical description. This opens up enormous prospects in describing, analyzing and forecasting complex systems.*
*by moscow institute of physics and technology*
One of the metrics used in economics and natural sciences in time series analysis is the Hurst exponent. It suggests whether the trend present in the data will persist: for example, whether values will continue to increase, or whether growth will turn to decline. This assumption holds for many natural processes and is explained by the inertia of natural systems. For example, lake level change, which is consistent with predictions derived from analysis of the Hurst exponent value, is determined not only by the current amount of water, but also by evaporation rates, precipitation, snowmelt, etc. All of the above is a time-consuming process.
Thanks to folkstone design inc. & zoomers of the sunshine coast BC
From a purely scientific frame of reference, many quantum phenomena like non-local correlations between distant entities and wave-particle duality, the wave function collapse and consistent histories, quantum entanglement and teleportation, the uncertainty principle and overall observer-dependence of reality pin down our conscious mind being intrinsic to reality. And this is the one thing the current physicalist paradigm fails to account for. Critical-mass anomalies will ultimately lead to the full paradigm shift in physics. It’s just a matter of time.
With consciousness as primary, everything remains the same and everything changes. Mathematics, physics, chemistry, biology are unchanged. What changes is our interpretation as to what they are describing. They are not describing the unfolding of an objective physical world, but transdimensional evolution of one’s conscious mind. There’s nothing “physical” about our physical reality except that we perceive it that way. By playing the “Game of Life” we evolved to survive not to see quantum mechanical reality. At our classical level of experiential reality we perceive ourselves as physical, at the quantum level we are a probabilistic wave function, which is pure information.
No matter how you slice it, reality is contextual, the notion that immediately dismisses ‘observer-independent’ interpretations of quantum mechanics and endorses the Mental Universe hypothesis. But we have to be careful here not to throw the baby out with the bathwater, so to speak. I’d like to make a very important point at this juncture of our discussion: Mental and physical are two sides of the same coin made of information. Both should be viewed as the same substance.
Engineering A Safer World For Humans With Self Driving Cars, Drones, and Robots — Dr. Missy Cummings PhD, Professor, Duke University, Director, Humans and Autonomy Laboratory, Duke Engineering.
Dr. Mary “Missy” Cummings, is a Professor in the Department of Electrical and Computer Engineering, at the Pratt School of Engineering, at Duke University, the Duke Institute of Brain Sciences, and is the Director of the Humans and Autonomy Laboratory and Duke Robotics.
Dr. Cummings received her B.S. in Mathematics from the US Naval Academy in 1988, her M.S. in Space Systems Engineering from the Naval Postgraduate School in 1994, and her Ph.D. in Systems Engineering from the University of Virginia in 2004.
Dr… Cummings was one of the Navy’s first female fighter pilots earning the rank of lieutenant and serving as naval officer and military pilot from 1988–1999.
Dr. Cummings research interests include human-unmanned vehicle interaction, human-autonomous system collaboration, human-systems engineering, public policy implications of unmanned vehicles, and the ethical and social impact of technology.
Protocol to reverse engineer Hamiltonian models advances automation of quantum devices.
Scientists from the University of Bristol ’s Quantum Engineering Technology Labs (QETLabs) have developed an algorithm that provides valuable insights into the physics underlying quantum systems — paving the way for significant advances in quantum computation and sensing, and potentially turning a new page in scientific investigation.
In physics, systems of particles and their evolution are described by mathematical models, requiring the successful interplay of theoretical arguments and experimental verification. Even more complex is the description of systems of particles interacting with each other at the quantum mechanical level, which is often done using a Hamiltonian model. The process of formulating Hamiltonian models from observations is made even harder by the nature of quantum states, which collapse when attempts are made to inspect them.
Artificial womb technology for extremely preterm infants — jasmijn kok, juno perinatal healthcare.
Every year, 800000 babies are born extremely preterm (defined as less than 28 weeks of age) worldwide. These infants are usually transferred to an air-based neonatal intensive care unit to support their heart and lung development. Exposure to air, however, leads to many complications, because the lungs are not fully developed yet.
An artificial uterus, or artificial womb, is a device that would allow for extra-corporeal pregnancy, by supporting the growth of a fetus outside the body of an organism that would normally carry the fetus to term.
Juno Perinatal Healthcare (https://www.junoperinatalhealthcare.com/) is a fascinating Dutch neonatal healthcare start-up which has a mission of developing a novel, alternative environment, similar to the mother’s womb, where extremely premature babies could be transferred, where the lungs remain filled with fluid and the umbilical cord will be attached to an artificial placenta to improve their organ development and ease the transition to newborn life.
Juno Perinatal Healthcare is a companion project to a interdisciplinary consortium known as the Perinatal Life Support (PLS) Project (https://perinatallifesupport.eu/), a consortium of three European universities, Aachen, Milan and Eindhoven, to establish the first ex-vivo fetal maturation system for clinical use.