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The shape of the universe revealed through algebraic geometry

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the mathematicians Claudia Fevola from Inria Saclay and Anna-Laura Sattelberger from the Max Planck Institute for Mathematics in the Sciences, recently published in the Notices of the American Mathematical Society.

Mathematics and physics share a close, reciprocal relationship. Mathematics offers the language and tools to describe physical phenomena, while physics drives the development of new mathematical ideas. This interplay remains vital in areas such as and cosmology, where advanced mathematical structures and physical theory evolve together.

In their article, the authors explore how algebraic structures and geometric shapes can help us understand phenomena ranging from particle collisions such as happens, for instance, in particle accelerators to the large-scale architecture of the cosmos. Their research is centered around . Their recent undertakings also connect to a field called positive geometry—an interdisciplinary and novel subject in mathematics driven by new ideas in and cosmology.

Customized moiré patterns achieved using stacked metal-organic framework layers

When two mesh screens or fabrics are overlapped with a slight offset, moiré patterns emerge as a result of interference caused by the misalignment of the grids. While these patterns are commonly recognized as optical illusions in everyday life, their significance extends to the nanoscale, such as in materials like graphene, where they can profoundly influence electronic properties.

This phenomenon opens new avenues for advancements in areas like superconductivity and quantum effects. Traditionally, controlling the length scales of moiré patterns has been challenging due to the fixed nature of atomic structures, which limits the ability to fine-tune .

A research team, led by Professor Wonyoung Choe at Ulsan National Institute of Science and Technology (UNIST), South Korea, has demonstrated, for the first time, the ability to precisely control over moiré periods by stacking (MOFs) layers—crystalline materials composed of metal clusters linked by .

Molecular hybridization achieved through quantum vacuum manipulation

Interactions between atoms and molecules are facilitated by electromagnetic fields. The bigger the distance between the partners involved, the weaker these mutual interactions are. In order for the particles to be able to form natural chemical bonds, the distance between them must usually be approximately equal to their diameter.

Using an which strongly alters the , scientists at the Max Planck Institute for the Science of Light (MPL) have succeeded for the first time in optically “bonding” several molecules at greater distances. The physicists are thus experimentally creating synthetic states of coupled molecules, thereby establishing the foundation for the development of new hybrid light-matter states. The study is published in the journal Proceedings of the National Academy of Sciences.

Atoms and molecules have clearly defined, discrete energy levels. When they are combined to form a , the energy states change. This process is referred to as molecular hybridization and is characterized by the overlap of electron orbitals, i.e., the areas where electrons typically reside. However, at a scale of a few nanometers, the interaction becomes so weak that molecules are no longer able to communicate with each other.

Scientists Discover Mysterious “Quantum Echo” in Superconductors

Quantum computing. The effect reveals and manipulates hidden quantum states.

Researchers from the U.S. Department of Energy’s Ames National Laboratory and Iowa State University have identified an unusual “quantum echo” in a superconducting material. This finding offers new understanding of quantum behavior that could be applied to future quantum sensing and computing systems.

Is gravity quantum? Experiments could finally probe one of physics’ biggest questions

“How quantum mechanics and gravity fit together is one of the most important outstanding problems in physics,” says Kathryn Zurek, a theoretical physicist at the California Institute of Technology (Caltech) in Pasadena.

Generations of researchers have tried to create a quantum theory of gravity, and their work has produced sophisticated mathematical constructs, such as string theory. But experimental physicists haven’t found concrete evidence for any of these, and they’re not even sure what such evidence could look like.

Now there is a sense that insights could be around the corner. In the past decade, many researchers have become more optimistic that there are ways to test the true nature of gravity in the laboratory. Scientists have proposed experiments to do this, and are pushing the precision of techniques to make them possible. “There’s been a huge rise in both experimental capability and our theoretical understanding of what we actually learn from such experiments,” says Markus Aspelmeyer, an experimental physicist at the University of Vienna and a pioneer of this work.

Graphene in Focus: Keeping Up to Date with Advances in Research

Graphene is a two-dimensional material composed of a single layer of carbon atoms arranged in a hexagonal lattice. Its first discovery was so astonishing because, despite its atomic-scale thickness, graphene exhibits exceptional mechanical strength, approximately 200 times greater than steel.

It also has high electrical and thermal conductivity and a very high theoretical surface area of approximately 2,630 m2/g, which means it can easily be functionalized, broadening its scope.

These properties make graphene suitable for applications in quantum electronics, biomedicine, sustainable construction, and energy storage.


Graphene’s role in technology is expanding, offering solutions for energy storage, cancer therapy, and sustainable construction through innovative research.

Scientists Say the Universe Might Be a HOAX — Here’s Why

Which leads us to a strange but necessary question:

If the universe is just structure — just syntax — then where’s the meaning?
Because that’s what we’ve been trying to find all along, isn’t it? Not just patterns. Not just formulas. But something is behind it. Something in it. A message. A cause. A reason why anything is the way it is. Something we could point to and say, “There — that’s what it’s all about.”

3:04 The Illusion of Physical Reality — Is Anything Really There?
10:16 Quantum Mechanics — When Reality Stops Making Sense.
18:04 The Holographic Principle — A Universe Made of Information.
26:24 Quantum Fields, Not Particles — The Fabric Beneath Matter.
33:29 Emergence — Time, Space, and Matter Are Not Fundamental.
41:49 Simulation Theory — But with a Physics Twist.
49:12 Quantum Gravity and the End of Local Reality.
57:29 Consciousness and the Collapse of Reality.
1:06:11 The “It from Bit” Hypothesis.
1:15:37 Experimental Clues — When the Universe Disobeys Logic.
1:23:46 If the Universe Isn’t Real, What Are We?
1:33:13 Could Physics Be Telling Us There’s No ‘There’ There?
1:39:33 Is the Universe a Language Without a Speaker?
1:46:53 So… What’s Left? Do We Actually Exist?
1:52:07 The Ultimate Twist — Could “Nothing” Be the Most Real Thing?
1:57:07 What If the Universe Is the Biggest Illusion Ever Constructed?

If you keep peeling everything back, does anything actually remain?
That’s the uncomfortable part. Because there’s a difference between saying “nothing exists the way we thought” and saying “nothing exists at all.” The first is about interpretation. The second is about presence. One reframes reality. The other questions whether there’s anything there to reframe.

Einstein was wrong: MIT just settled a 100 year quantum debate

MIT physicists confirm that, like Superman, light has two identities that are impossible to see at once. Physicists at MIT recreated the double-slit experiment using individual photons and atoms held in laser light, uncovering the true limits of light’s wave–particle duality. Their results proved Einstein’s proposal wrong and confirmed a core prediction of quantum mechanics.

MIT physicists have performed an idealized version of one of the most famous experiments in quantum physics. Their findings demonstrate, with atomic-level precision, the dual yet evasive nature of light. They also happen to confirm that Albert Einstein was wrong about this particular quantum scenario.

The experiment in question is the double-slit experiment, which was first performed in 1801 by the British scholar Thomas Young to show how light behaves as a wave. Today, with the formulation of quantum mechanics, the double-slit experiment is now known for its surprisingly simple demonstration of a head-scratching reality: that light exists as both a particle and a wave. Stranger still, this duality cannot be simultaneously observed. Seeing light in the form of particles instantly obscures its wave-like nature, and vice versa.

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