mathematics – Lifeboat News: The Blog https://lifeboat.com/blog Safeguarding Humanity Sat, 28 Dec 2024 19:21:33 +0000 en-US hourly 1 https://wordpress.org/?v=6.7.1 This Cryptographer Helps Quantum-Proof the Internet https://russian.lifeboat.com/blog/2024/12/this-cryptographer-helps-quantum-proof-the-internet https://russian.lifeboat.com/blog/2024/12/this-cryptographer-helps-quantum-proof-the-internet#respond Sat, 28 Dec 2024 19:21:33 +0000 https://lifeboat.com/blog/2024/12/this-cryptographer-helps-quantum-proof-the-internet

Users of Google’s Chrome browser can rest easy knowing that their surfing is secure, thanks in part to cryptographer Joppe Bos. He’s coauthor of a quantum-secure encryption algorithm that was adopted as a standard by the U.S. National Institute of Standards and Technology (NIST) in August and is already being implemented in a wide range of technology products, including Chrome.

Rapid advances in quantum computing have stoked fears that future devices may be able to break the encryption used by most modern technology. These approaches to encryption typically rely on mathematical puzzles that are too complex for classical computers to crack. But quantum computers can exploit quantum phenomena like superposition and entanglement to compute these problems much faster, and a powerful enough machine should be able to break current encryption.

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Can Classical Worlds Emerge from Parallel Quantum Universes? https://russian.lifeboat.com/blog/2024/12/can-classical-worlds-emerge-from-parallel-quantum-universes https://russian.lifeboat.com/blog/2024/12/can-classical-worlds-emerge-from-parallel-quantum-universes#respond Sat, 28 Dec 2024 19:07:29 +0000 https://lifeboat.com/blog/2024/12/can-classical-worlds-emerge-from-parallel-quantum-universes

Simulations deliver hints on how the multiverse produced according to the many-worlds interpretation of quantum mechanics might be compatible with our stable, classical Universe.

We understand quantum mechanics well enough to make stunningly accurate predictions, ranging from atomic spectra to the structure of neutron stars, and to successfully exploit these predictions in devices such as lasers, MRI machines, and tunneling microscopes. Yet there is no generally accepted explanation of how the solid reality of such devices—or of objects such as cats, moons, and people—arise from a nebulous quantum wave in an abstract mathematical space. Some physicists prefer to ignore the problem, suggesting that we should just “shut up and calculate!” Others seek answers by modifying quantum theory in various ways or by searching for ways to explain how stable structures can emerge from quantum theory itself.

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The Mathematical Language of Consciousness https://russian.lifeboat.com/blog/2024/12/the-mathematical-language-of-consciousness https://russian.lifeboat.com/blog/2024/12/the-mathematical-language-of-consciousness#respond Wed, 25 Dec 2024 16:22:41 +0000 https://lifeboat.com/blog/2024/12/the-mathematical-language-of-consciousness

A breakthrough discovery in quantum semantics.

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An AI system has reached human level on a test for ‘general intelligence’—here’s what that means https://russian.lifeboat.com/blog/2024/12/an-ai-system-has-reached-human-level-on-a-test-for-general-intelligence-heres-what-that-means https://russian.lifeboat.com/blog/2024/12/an-ai-system-has-reached-human-level-on-a-test-for-general-intelligence-heres-what-that-means#respond Wed, 25 Dec 2024 11:25:29 +0000 https://lifeboat.com/blog/2024/12/an-ai-system-has-reached-human-level-on-a-test-for-general-intelligence-heres-what-that-means

A new artificial intelligence (AI) model has just achieved human-level results on a test designed to measure “general intelligence.”

On December 20, OpenAI’s O3 system scored 85% on the ARC-AGI benchmark, well above the previous AI best score of 55% and on par with the average human score. It also scored well on a very difficult mathematics test.

Creating artificial , or AGI, is the stated goal of all the major AI research labs. At first glance, OpenAI appears to have at least made a significant step towards this goal.

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Computer models are vital for studying everything. Here’s how AI could make them even better https://russian.lifeboat.com/blog/2024/12/computer-models-are-vital-for-studying-everything-heres-how-ai-could-make-them-even-better https://russian.lifeboat.com/blog/2024/12/computer-models-are-vital-for-studying-everything-heres-how-ai-could-make-them-even-better#respond Tue, 24 Dec 2024 10:28:56 +0000 https://lifeboat.com/blog/2024/12/computer-models-are-vital-for-studying-everything-heres-how-ai-could-make-them-even-better

Here’s one definition of science: it’s essentially an iterative process of building models with ever-greater explanatory power.

A model is just an approximation or simplification of how we think the world works. In the past, these models could be very simple, as simple in fact as a mathematical formula. But over time, they have evolved and scientists have built increasingly sophisticated simulations of the world as new data has become available.

A computer model of the Earth’s climate can show us temperatures will rise as we continue to release greenhouse gases into the atmosphere. Models can also predict how infectious disease will spread in a population, for example.

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Algebraic geometry offers fresh solution to data center energy inefficiency https://russian.lifeboat.com/blog/2024/12/algebraic-geometry-offers-fresh-solution-to-data-center-energy-inefficiency https://russian.lifeboat.com/blog/2024/12/algebraic-geometry-offers-fresh-solution-to-data-center-energy-inefficiency#respond Tue, 24 Dec 2024 10:26:39 +0000 https://lifeboat.com/blog/2024/12/algebraic-geometry-offers-fresh-solution-to-data-center-energy-inefficiency

The manic pace of sharing, storing, securing, and serving data has a manic price—power consumption. To counter this, Virginia Tech mathematicians are leveraging algebraic geometry to target the inefficiencies of data centers.

“We as individuals generate tons of data all the time, not to mention what large companies are producing,” said Gretchen Matthews, mathematics professor and director of the Southwest Virginia node of the Commonwealth Cyber Initiative. “Backing up that data can mean replicating and storing twice or three times as much information if we don’t consider smart alternatives.”

Instead of energy-intensive data replication, Matthews and Hiram Lopez, assistant professor of mathematics, explored using certain algebraic structures to break the information into pieces and spread it out among servers in close proximity to each other. When one server goes down, the algorithm can poll the neighboring servers until it recovers the .

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Scientists reinvent equations governing formation of snowflakes, raindrops and Saturn’s rings https://russian.lifeboat.com/blog/2024/12/scientists-reinvent-equations-governing-formation-of-snowflakes-raindrops-and-saturns-rings https://russian.lifeboat.com/blog/2024/12/scientists-reinvent-equations-governing-formation-of-snowflakes-raindrops-and-saturns-rings#respond Tue, 24 Dec 2024 10:25:38 +0000 https://lifeboat.com/blog/2024/12/scientists-reinvent-equations-governing-formation-of-snowflakes-raindrops-and-saturns-rings

Skoltech researchers have proposed novel mathematical equations that describe the behavior of aggregating particles in fluids. This bears on natural and engineering processes as diverse as rain and snow formation, the emergence of planetary rings, and the flow of fluids and powders in pipes.

Reported in Physical Review Letters, the new equations eliminate the need for juggling two sets of equations that had to be used in conjunction, which led to unacceptable errors for some applications.

Fluid aggregation is involved in many processes. In the atmosphere, agglomerate into rain, and ice microcrystals into snow. In space, particles orbiting come together to form rings like those of Saturn.

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Grapes of math: Ordinary fruit enhances performance of quantum sensors https://russian.lifeboat.com/blog/2024/12/grapes-of-math-ordinary-fruit-enhances-performance-of-quantum-sensors https://russian.lifeboat.com/blog/2024/12/grapes-of-math-ordinary-fruit-enhances-performance-of-quantum-sensors#respond Tue, 24 Dec 2024 00:14:27 +0000 https://lifeboat.com/blog/2024/12/grapes-of-math-ordinary-fruit-enhances-performance-of-quantum-sensors

Macquarie University researchers have demonstrated how ordinary supermarket grapes can enhance the performance of quantum sensors, potentially leading to more efficient quantum technologies.

The study, published in Physical Review Applied on 20 December 2024, shows that pairs of grapes can create strong localized magnetic field hotspots of microwaves which are used in quantum sensing applications—a finding that could help develop more compact and cost-effective quantum devices.

“While previous studies looked at the causing the plasma effect, we showed that grape pairs can also enhance magnetic fields, which are crucial for quantum sensing applications,” says lead author Ali Fawaz, a quantum physics Ph.D. candidate at Macquarie University.

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Google Reveals New A.I. Model That Predicts Weather Better Than the Best Traditional Forecasts https://russian.lifeboat.com/blog/2024/12/google-reveals-new-a-i-model-that-predicts-weather-better-than-the-best-traditional-forecasts https://russian.lifeboat.com/blog/2024/12/google-reveals-new-a-i-model-that-predicts-weather-better-than-the-best-traditional-forecasts#respond Sun, 22 Dec 2024 18:24:31 +0000 https://lifeboat.com/blog/2024/12/google-reveals-new-a-i-model-that-predicts-weather-better-than-the-best-traditional-forecasts

Instead of crunching mathematical calculations, GenCast was trained on four decades of historical weather data to produce an array of 15-day forecasts.

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Can Entangled Particles Communicate Faster than Light? https://russian.lifeboat.com/blog/2024/12/can-entangled-particles-communicate-faster-than-light https://russian.lifeboat.com/blog/2024/12/can-entangled-particles-communicate-faster-than-light#respond Sun, 22 Dec 2024 18:03:24 +0000 https://lifeboat.com/blog/2024/12/can-entangled-particles-communicate-faster-than-light

Entanglement is perhaps one of the most confusing aspects of quantum mechanics. On its surface, entanglement allows particles to communicate over vast distances instantly, apparently violating the speed of light. But while entangled particles are connected, they don’t necessarily share information between them.

In quantum mechanics, a particle isn’t really a particle. Instead of being a hard, solid, precise point, a particle is really a cloud of fuzzy probabilities, with those probabilities describing where we might find the particle when we go to actually look for it. But until we actually perform a measurement, we can’t exactly know everything we’d like to know about the particle.

These fuzzy probabilities are known as quantum states. In certain circumstances, we can connect two particles in a quantum way, so that a single mathematical equation describes both sets of probabilities simultaneously. When this happens, we say that the particles are entangled.

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