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Mathematician solves algebra’s oldest problem using intriguing new number sequences

A UNSW Sydney mathematician has discovered a new method to tackle algebra’s oldest challenge—solving higher polynomial equations.

Polynomials are equations involving a variable raised to powers, such as the degree two polynomial: 1 + 4x – 3x2 = 0.

The equations are fundamental to math as well as science, where they have broad applications, like helping describe the movement of planets or writing computer programs.

Sound-controlled light paves way for GPS-free navigation

Imagine having to find your way with only a compass and the stars and being handed a GPS. This is what David Marpaung and colleagues have just done for designers of light-based chips. Through their discovery of steering light with sound, the UT researchers have made available a powerful new tool to expand the scope and performance of this up-and-coming technology that’s quickly moving beyond its traditional use in .

Detailed in Science Advances, Marpaung has essentially molded the precision and versatility of a well-known physical phenomenon called Stimulated Brillouin Scattering (SBS) into a form that’s ready for mass manufacturing.

Brain-computer interface allows paralyzed users to customize their sense of touch

University of Pittsburgh School of Medicine scientists are one step closer to developing a brain-computer interface, or BCI, that allows people with tetraplegia to restore their lost sense of touch.

While exploring a digitally represented object through their artificially created sense of touch, users described the warm fur of a purring cat, the smooth rigid surface of a door key and the cool roundness of an apple. This research, a collaboration between Pitt and the University of Chicago, is published in Nature Communications.

In contrast to earlier experiments where artificial touch often felt like indistinct buzzing or tingling and didn’t vary from object to object, scientists gave BCI users control over the details of the electrical stimulation that creates tactile sensations, rather than making those decisions themselves. This key innovation allowed participants to recreate a sense of touch that felt intuitive to them.

Torsion unipolar barrier heterojunction device simplifies optical imaging and sensing

Polarization, along with intensity, wavelength, and phase, is a fundamental property of light. It enhances contrast and resolution in imaging compared to traditional intensity-based methods. On-chip polarization devices rely on complex four-pixel arrays or external polarizers.

Current solutions face two key challenges: limited spectral response in plasmonic and metasurface-based devices, and difficulty in simultaneously detecting the angle (AoLP) and degree (DoLP) of linear in low-dimensional anisotropic materials. Achieving wide-spectrum, high-precision polarization detection remains a critical challenge in the field.

To address this, a research team led by Prof. Li Liang from the Institute of Solid State Physics, the Hefei Institutes of Physical Science of the Chinese Academy of Sciences, in collaboration with Prof. Zhai Tianyou from Huazhong University of Science and Technology, has developed a novel “torsion unipolar barrier heterojunction” device.

Universal all-optical logic gate reaches 240 GHz at room temperature

A research team from Skoltech and the University of Wuppertal in Germany determined that an all-optical universal logic gate that was previously developed at Skoltech can operate at a speed of 240 GHz at room temperature.

In an article published in the Physical Review B journal, the authors also examined what limits the time between successive condensations by examining the effect of bimolecular quenching—it plays a key role in limiting the speed of transistors.

The Skoltech Laboratory of Hybrid Photonics, headed by Distinguished Professor Pavlos Lagoudakis, Senior Vice President for Fundamental Research at Skoltech and a laureate of the Vyzov Scientific Prize, continues its research project on how to speed up computing and computers with optics.

Say goodbye to everything we knew about our brain: scientists discover how it creates, stores and retrieves memories

Everything related to the human brain and neuroscience has always been an area in which specialists have said that there is much to discover, learn and investigate. In fact, the generation of memory in human beings, memories, and the different diseases that are clustered around the CPU of the body have always been constantly evolving.

Now, Dr. Tomas Ryan of Trinity College Dublin, a neuroscientist who has explored the issues of brain learning by tracking the cells involved in this process, has found new findings suggesting that memory formation depends on the connections between groups of engram cells, neurons thought to capture and store distinct experiences.

In this new research, the experts indicate that each experience leaves a pattern of neuronal activation that can be activated later, which would mean the creation of a memory. To reach this conclusion, the neuroscientists tracked two sets of engram cells, each linked to a different memory.

Rapid lithium extraction eliminates use of acid and high heat, scientists report

Lightweight lithium metal is a heavy-hitting critical mineral, serving as the key ingredient in the rechargeable batteries that power phones, laptops, electric vehicles and more. As ubiquitous as lithium is in modern technology, extracting the metal is complex and expensive. A new method, developed by researchers at Penn State and recently granted patent rights, enables high-efficiency lithium extraction—in minutes, not hours—using low temperatures and simple water-based leaching.

“Lithium powers the technologies that define our modern lives—from smartphones to electric vehicles—and has applications in grid energy storage, ceramics, glass, lubricants, and even medical and nuclear technologies,” said Mohammad Rezaee, the Centennial Career Development Professor in Mining Engineering at Penn State, who led the team that published their approach in Chemical Engineering Journal.

“But its extraction must also be environmentally responsible. Our research shows that we can extract lithium, and other , more efficiently while drastically reducing energy use, greenhouse gas emissions and waste that’s difficult to manage or dispose of.”

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