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Category: mathematics – Page 153

Published: 2012/11/01 | ISBN: 311027325X | PDF | 349 pages | 12.06 MB

The subject of this book is theory of quantum system presented from information science perspective. The central role is played by the concept of quantum channel and its entropic and information characteristics. Quantum information theory gives a key to understanding elusive phenomena of quantum world and provides a background for development of experimental techniques that enable measuring and manipulation of individual quantum systems. This is important for the new efficient applications such as quantum computing, communication and cryptography. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. This book gives an accessible, albeit mathematically rigorous and self-contained introduction to quantum information theory, starting from primary structures and leading to fundamental results and to exiting open problems.

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The Universe as we know it is made up of a continuum of space and time — a space-time fabric that’s curved by massive objects such as stars and black holes, and which dictates the movement of matter.

Thanks to Einstein’s gravitational waves, we know disturbances can propagate through both space and time. But what’s less understood is exactly how that happens when properties of the fabric is continuously shifting.

That could soon be about to change. Researchers have just come up with a brand new mathematical framework that could finally explain how disturbances move through a dynamic space-time fabric — a concept known as ‘field patterns’.

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Quantum replicants of responsive systems can be more efficient than classical models, say researchers from the Centre for Quantum Technologies in Singapore, because classical models have to store more past information than is necessary to simulate the future. They have published their findings in npj Quantum Information.

The word ‘replicant’ evokes thoughts of a sci-fi world where society has replaced common creatures with artificial machines that replicate their behaviour. Now researchers from Singapore have shown that if such machines are ever created, they’ll run more efficiently if they harness theory to respond to the environment.

This follows the findings of a team from the Centre for Quantum Technologies (CQT), published 10 February in npj Quantum Information. The team investigated ‘input-output processes’, assessing the mathematical framework used to describe arbitrary devices that make future decisions based on stimuli received from the environment. In almost all cases, they found, a quantum device is more efficient because classical devices have to store more past information than is necessary to simulate the future.

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In Brief:

Researchers found a new “supercomputer” using nanotechnology. These biocomputers can solve mathematical problems faster, and they are more energy efficient.

Researchers from Lund University in Sweden have created a biological computer using nanotechnology. This, in itself, is not so remarkable, but it can solve mathematical problems much faster than conventional computers. The team was also able to prove that biological computers using molecular motors are more energy efficient.

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Nice write up and anyone working or researching central nervous system should not find this research and findings shocking.

Re: Scam hunter’s question; “Can you explain what a scalar torsion field model is?”

The History of Scalar Energy

The discovery of Scalar Energy can be attributed to James Clark Maxwell, a Scotsman who was born in the 19th century. Maxwell was a mathematical genius whose work led to the development of quantum physics. Albert Einstein worked on Maxwell’s findings and discovered “The Theory of Relativity”.

Continue reading “Tesla and Scalar Energy Explained” | >

Quantum Cognition — recently published as a new field term for cognitive thinking.

Quantum cognition is an emerging field which applies the mathematical formalism of quantum theory to model cognitive phenomena such as information processing by the human brain, language, decision making, human memory, concepts and conceptual reasoning, human judgment, and perception. [1][2][3][4] The field clearly distinguishes itself from the quantum mind as it is not reliant on the hypothesis that there is something micro-physical quantum mechanical about the brain. Quantum cognition is based on the quantum-like paradigm[5][6] or generalized quantum paradigm [7] or quantum structure paradigm [8] that information processing by complex systems such as the brain, taking into account contextual dependence of information and probabilistic reasoning, can be mathematically described in the framework of quantum information and quantum probability theory.

Quantum cognition uses the mathematical formalism of quantum theory to inspire and formalize models of cognition that aim to be an advance over models based on traditional classical probability theory. The field focuses on modeling phenomena in cognitive science that have resisted traditional techniques or where traditional models seem to have reached a barrier (e.g., human memory [9]), and modeling preferences in decision theory that seem paradoxical from a traditional rational point of view (e.g., preference reversals [10]). Since the use of a quantum-theoretic framework is for modeling purposes, the identification of quantum structures in cognitive phenomena does not presuppose the existence of microscopic quantum processes in the human brain.

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Agree; math is a must. However, experimentation is when the rubber meets the road.

In the mid-1990s, I studied mathematics. I wasn’t really sure just what I wanted to do with my life, but I was awed by the power of mathematics to describe the natural world. After classes on differential geometry and Lie algebras, I attended a seminar series offered by the math department about the greatest problem in fundamental physics: how to quantize gravity and thereby bring all the forces of nature under one theoretical umbrella. The seminars focused on a new approach pioneered by Abhay Ashtekhar at Penn State University. It wasn’t research I had previously encountered, and I came away with the impression that the problem had been solved; the news just hadn’t yet spread.

It seemed a clear victory for pure thought. The requirement of mathematical consistency also led, for example, to the discovery of the Higgs boson. Without the Higgs, the Standard Model of particle physics would stop working for particles that are collided at energies above 1 teraelectron-volts, well within the range of the Large Hadron Collider. Probabilities would no longer add to 100 percent and would cease to make mathematical sense. Something new thus had to turn up once that energy was crossed. The Higgs was the simplest possibility that physicists could think of—and, sure enough, they found it.

In the ’20s and ’30s, the mathematical inconsistency between Einstein’s special theory of relativity and the original version of quantum mechanics gave rise to quantum field theory, on which the Standard Model was later based. The mathematical inconsistency between special relativity and Newtonian gravity gave rise to the general theory of relativity, our state-of-the-art theory of gravity. Now physicists are left with the inconsistency between the Standard Model and general relativity. Of course we expect its resolution, in the form of a quantum theory of gravity, to be as revelatory as the earlier cases.

Continue reading “What Quantum Gravity Needs Is More Experiments” | >

The researchers from the University of Southampton, working with colleagues in Canada and Italy, claim there is as much evidence for this theory as for traditional explanations for these irregularities.

A holographic universe, an idea first suggested in the 1990s, is one where all the information, which makes up our 3D ‘reality’is contained in a 2D surface on its boundaries.

Until now the bizarre theory had rarely been tested, but recent mathematical models suggest that the mind-boggling principle could be true.

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A discussion about Simulation theory, quantum mechanics and Super Mario!

Futurists Keith Comito, Gray Scott, Luis Arana, and Zach Waldman talk about the simulation theory as part of the #FuturistSessions at the Soho House New York. Discussions include quantum mechanics, mathematical realism vs mathematical fictionalism, the Matrix, Pacman, and Mario!

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Continue reading “The Futurist Sessions: Simulation Theory — ft. Keith Comito, Gray Scott, Luis Arana, and Zac Waldman” | >

In Brief Science fiction often serves as a curiosity catalyst for a lot of technological innovation. One such example is this Alcubierre Warp Drive, that would absolutely revolutionize the capability of humans to traverse the stars.

It’s always a welcome thing to learn that ideas that are commonplace in science fiction have a basis in science fact. Cryogenic freezers, laser guns, robots, silicate implants… and let’s not forget the warp drive! Believe it or not, this concept – alternately known as FTL (Faster-Than-Light) travel, Hyperspace, Lightspeed, etc. – actually has one foot in the world of real science.

In physics, it is what is known as the Alcubierre Warp Drive. On paper, it is a highly speculative, but possibly valid, solution of the Einstein field equations, specifically how space, time and energy interact. In this particular mathematical model of spacetime, there are features that are apparently reminiscent of the fictional “warp drive” or “hyperspace” from notable science fiction franchises, hence the association.

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