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UNCERTAINTY PRINCIPLE. “Similar to quantum mechanics, in the semi-classical quantum gravity picture, we should expect a(t) not to be well-defined.” (a(t) = the universe-scale factor). https://www.mdpi.com/2218-1997/7/6/164/htm View in LinkedIn

RIDDLED WITH FIELDS. “Like any other object, the center of mass of a system experiences quantum fluctuations.” https://www.mdpi.com/2218-1997/7/6/164/htm View in LinkedIn

HEISENBERG. “In the quantum mechanical picture, the center of mass motion obeys the uncertainty principle, and thus is not well-defined anymore.” https://www.mdpi.com/2218-1997/7/6/164/htm View in LinkedIn

Similar floral patterns in two species of flower. View in LinkedIn

COLLECTIVE HIVE MIND. “The juxtaposition of insect and human collectives is instructive in showing up common elements in terms of large-scale structures and how the needs of the overall collective can dwarf those of the individual.” https://lnkd.in/e2ktPTqP View in LinkedIn

SO ENDS this first of two weekends on the theme of time crystals. The ideas presented here are not entirely new, and come in part from Nobel prize winner Philip Anderson, the “pope of solid-state physics.” Condensed matter physics is the closest thing we have on Earth to investigating extreme conditions in outer space, with enormous densities, magnetism, heat, and cold, that likely require new physics to describe them. https://lnkd.in/e3uyixHV View in LinkedIn

ULTRACOLD ATOMS. “Another example is ultracold atoms in optical lattice potentials which are routinely created in the laboratory by means of electromagnetic standing waves. There, ultracold atoms behave like solid state systems but the crystalline structures in space do not emerge spontaneously.” https://lnkd.in/e5UXiem5 View in LinkedIn

PHOTONIC CRYSTALS. “For example, by imposing periodic behavior of the refractive index in space in dielectric materials, one obtains photonic crystals in which the propagation of electromagnetic waves possesses similar properties to the transport of an electron in a space crystal.” https://lnkd.in/e5UXiem5 View in LinkedIn

QUANTUM FIELDS. “Intermolecular forces are pervasive in nature and give rise to various phenomena including surface wetting, adhesive forces in biology, and the Casimir effect, which causes two charge-neutral, metal objects in vacuum to attract each other. These interactions are the result of quantum fluctuations of electromagnetic waves and the boundary conditions imposed by the interacting materials.” https://www.nature.com/articles/s41586-018-0777-8 View in LinkedIn

KEY THEORY. “Quantum fluctuations of the vacuum stress-energy tensor are highly non-Gaussian, and can have unexpectedly large effects on spacetime geometry.” https://lnkd.in/eeq_Rq-x View in LinkedIn