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Category: mathematics – Page 69

New chip opens door to AI computing at light speed

University of Pennsylvania engineers have developed a new chip that uses light waves, rather than electricity, to perform the complex math essential to training AI. The chip has the potential to radically accelerate the processing speed of computers while also reducing their energy consumption.

The silicon-photonic (SiPh) chip’s design is the first to bring together Benjamin Franklin Medal Laureate and H. Nedwill Ramsey Professor Nader Engheta’s pioneering research in manipulating materials at the nanoscale to perform mathematical computations using light—the fastest possible means of communication—with the SiPh platform, which uses silicon, the cheap, used to mass-produce computer chips.

The interaction of with matter represents one possible avenue for developing computers that supersede the limitations of today’s chips, which are essentially based on the same principles as chips from the earliest days of the computing revolution in the 1960s.

Google DeepMind’s New AI Matches Gold Medal Performance in Math Olympics

After cracking an unsolvable mathematics problem last year, AI is back to tackle geometry.

Developed by Google DeepMind, a new algorithm, AlphaGeometry, can crush problems from past International Mathematical Olympiads—a top-level competition for high schoolers—and matches the performance of previous gold medalists.

When challenged with 30 difficult geometry problems, the AI successfully solved 25 within the standard allotted time, beating previous state-of-the-art algorithms by 15 answers.

Time and Quantum Mechanics SOLVED? | Lee Smolin

Lee Smolin joins TOE to discuss his work in theoretical physics, the dynamic nature of the laws of physics and the concept of time.

TIMESTAMPS:
00:00:00 — Intro.
00:04:13 — Doubly Special Relativity and Violation of Lorentz Invariance.
00:09:15 — The Concept of Thick Time.
00:19:11 — Duality Between String Theory and Loop Quantum Gravity.
00:23:50 — Condensed Matter Theory.
00:28:35 — Approximating by a Continuum and Discrete Sets.
00:34:11 — Misapprehensions about Loop Quantum Gravity.
00:38:43 — Defining Complexity and the View of the Universe by One Observer.
00:43:52 — Causal Energetic: The Relationship Between Varieties and Kinetic Energy.
00:48:38 — Varying Parameters in the Universe.
00:53:35 — The Bomes Interpretation of Quantum Mechanics.
00:58:30 — Causality and Relativity.
01:03:15 — Different Styles in Mathematics and Chess.
01:07:55 — The Fundamental Questions in Biology.
01:12:49 — Marrying Outside Your Field.
01:18:04 — Discussion on Authors and Novels.
01:23:35 — Conversations with Fire Robin.
01:28:39 — Being Sincere and Ambitious.
01:33:39 — A Visit from BJ
01:38:34 — Outro.

NOTE: The perspectives expressed by guests don’t necessarily mirror my own. There’s a versicolored arrangement of people on TOE, each harboring distinct viewpoints, as part of my endeavor to understand the perspectives that exist.

THANK YOU: To Mike Duffey for your insight, help, and recommendations on this channel.

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Continue reading “Time and Quantum Mechanics SOLVED? | Lee Smolin” | >

Revolutionizing Physics With a Game-Changing Topological Approach

Innovative research introduces a practical, model-free method for exploring topological properties in materials, enhancing the scope and efficiency of topological studies.

The branch of mathematics known as topology has become a cornerstone of modern physics thanks to the remarkable – and above all reliable – properties it can impart to a material or system. Unfortunately, identifying topological systems, or even designing new ones, is generally a tedious process that requires exactly matching the physical system to a mathematical model.

Researchers at the University of Amsterdam and the École Normale Supérieure of Lyon have demonstrated a model-free method for identifying topology, enabling the discovery of new topological materials using a purely experimental approach.

The Extraordinary Theorems of John Nash — with Cédric Villani

Fields medalist Cédric Villani explains some of John Nash’s most amazing theorems.

Fields medal winner Cédric Villani takes us through the very special world of mathematical creation of John Nash, who founded several new chapters of game theory and geometric analysis in just a few revolutionary contributions that seemed to come from nowhere.
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Buy Cedri’s book \.

Research team takes a fundamental step toward a functioning quantum internet

Hong-Ou-Mandel interference of single-#photon-level pulses stored in independent room-temperature #quantum #memories Quantum #repeater #networks require independent absorptive quantum memories capable of #storing and #retrieving indistinguishable photons to perform high-repetition entanglement…

Research with quantum computing and quantum networks is taking place around the world in the hopes of developing a quantum internet in the future. A quantum internet would be a network of quantum computers, sensors, and communication devices that will create, process, and transmit quantum states and entanglement and is anticipated to enhance society’s internet system and provide certain services and securities that the current internet does not have.

A team of Stony Brook University physicists and their collaborators have taken a significant step toward the building of a testbed by demonstrating a foundational quantum network measurement that employs room-temperature . Their findings are described in a paper published in npj Quantum Information.

The field of quantum information essentially combines aspects of physics, mathematics, and classical computing to use quantum mechanics to solve complex problems much faster than classical computing and to transmit information in an unhackable manner.

Mathematical model connects innovation and obsolescence to unify insights across diverse fields

In Lewis Carroll’s Through the Looking-Glass, the Red Queen tells Alice, “It takes all the running you can do, to keep in the same place.” The race between innovation and obsolescence is like this.

Recent evidence about the slowing of technological and scientific progress in contrast to the accelerating epidemiological risks in a globalized world—in the opposite direction—indicates the importance of the relative rates of and obsolescence.

When does innovation outpace, or fail to outpace, obsolescence? Understanding this dynamic is nascent, and the way that innovation is discussed is largely fragmented across fields. Despite some qualitative efforts to bridge this gap, insights are rarely transferred.

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