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Time crystals are unexpected states of matter that spontaneously break time-translation symmetry either in a discrete or continuous manner. However, spatially mesoscale space-time crystals that break both space and time symmetries have not been reported. Here we report a continuous space-time crystal in a nematic liquid crystal driven by ambient-power, constant-intensity unstructured light. Our numerically constructed four-dimensional configurations exhibit good agreement with these experimental findings. Although meeting the established criteria to identify time-crystalline order, both experiments and computer simulations reveal a space-time crystallization phase formed by particle-like topological solitons. The robustness against temporal perturbations and spatiotemporal dislocations shows the stability and rigidity of the studied space-time crystals, which relates to their locally topological nature and many-body interactions between emergent spontaneously twisted, particle-like solitonic building blocks. Their potential technological utility includes optical devices, photonic space-time crystal generators, telecommunications and anti-counterfeiting designs, among others.
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http://dx.doi.org/10.1038/s41563-025-02344-1 | DOI Listing |
Nat Mater
September 2025
Department of Physics, University of Colorado, Boulder, CO, USA.
Time crystals are unexpected states of matter that spontaneously break time-translation symmetry either in a discrete or continuous manner. However, spatially mesoscale space-time crystals that break both space and time symmetries have not been reported. Here we report a continuous space-time crystal in a nematic liquid crystal driven by ambient-power, constant-intensity unstructured light.
View Article and Find Full Text PDFACS Photonics
August 2025
Department of Physics, University of Washington, Seattle, Washington 98195, United States.
Triggered by advances in atomic-layer exfoliation and growth techniques, along with the identification of a wide range of extraordinary physical properties in self-standing films consisting of one or a few atomic layers, two-dimensional (2D) materials such as graphene, transition metal dichalcogenides (TMDs), and other van der Waals (vdW) crystals now constitute a broad research field expanding in multiple directions through the combination of layer stacking and twisting, nanofabrication, surface-science methods, and integration into nanostructured environments. Photonics encompasses a multidisciplinary subset of those directions, where 2D materials contribute remarkable nonlinearities, long-lived and ultraconfined polaritons, strong excitons, topological and chiral effects, susceptibility to external stimuli, accessibility, robustness, and a completely new range of photonic materials based on layer stacking, gating, and the formation of moiré patterns. These properties are being leveraged to develop applications in electro-optical modulation, light emission and detection, imaging and metasurfaces, integrated optics, sensing, and quantum physics across a broad spectral range extending from the far-infrared to the ultraviolet, as well as enabling hybridization with spin and momentum textures of electronic band structures and magnetic degrees of freedom.
View Article and Find Full Text PDFSci Rep
August 2025
Department of Physics and Astronomy, UNC-Chapel Hill, Chapel Hill, NC, USA.
In this letter we show that, at its fundamental level, phantom dark energy is a fluid made up of time crystals that permeate the fabric of space-time. In turn, any well-behaved stable theory of a non-canonical scalar field that acts as phantom dark energy also leads to the production of time crystals. This relation offers a new way of thinking and a deeper insight into the nature of the most inexplicable of all ingredients in the universe, dark energy.
View Article and Find Full Text PDFAnal Bioanal Chem
August 2025
CeMOS - Research and Transfer Center, Technische Hochschule Mannheim, Paul-Wittsack-Straße 10, 68163, Mannheim, Germany.
The article presented here deals with the quality parameter dispersed surface in material systems like suspensions or dispersions in which several phases are present simultaneously such as solids in continuous solution. Here, other quality parameters are relevant for the quality of the products than, for example, in pure solutions or gases. The dispersed surface is relevant for reaction rates, absorption capacity, and many other properties of the suspension.
View Article and Find Full Text PDFJ Acoust Soc Am
July 2025
Laboratoire Ondes et Milieux Complexes UMR CNRS 6294, UNIHAVRE, Normandie University, 75 rue Bellot, 76600 Le Havre, France.
Piezoelectric phononic-crystal plates, structured on their surface with metallic strips introducing electric-circuit loads, exhibit a tunable frequency-dispersion behaviour, nondestructively controlled in real time. Under an appropriate choice of boundary conditions through these loads, obeying a space-time propagation rule, it is demonstrated experimentally that these systems support nonreciprocal propagation of Lamb-like guided modes in their interior. The observations combined with numerical calculations confirm a broadband translation of the dispersion curves in the frequency-wavenumber space depending on the modulation speed.
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