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“The quantum mechanical car," "Is really the most bizarre," "For as soon as you’re knowing," "How fast you are going," "You can’t know where you are!” https://lnkd.in/eXFkBN7Q View in LinkedIn

DIFFRACTION GRATING. “In a relative geometry setting, these lines describe how particles on average are guided through space, setting a notion of what straight propagation means on a particle level, in relation to the apertures, which are obstacles to information exchange.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

TOOTH ENAMEL. “HAP is another biomineral, which was recently reported to form mesocrystals in tooth enamel-like structures and dentin remineralization suggesting a role of mesocrystals in calcium phosphate biominerals too.” https://lnkd.in/eNACsghr View in LinkedIn

THE MOST FAMOUS EXPERIMENT. “In the case of single- and double-slit diffraction, the symmetry of the set-up is directly observable in the lines delineating maxima and minima of the probability distribution of photons after diffraction by the slit in question.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

LINEAR PARTS OF HYPERBOLAE. “Since the wave pattern describes hyperbolae for single or double slits, the symmetry of the light diffraction is that of an elliptic cylindrical coordinate system. In that setting, the hyperbolae describe lines parameterized by one of the coordinate variables, providing an elementary example of straight lines.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

The winds causing the persistent eddy of winds on the Costa Brava. https://lnkd.in/e4_PbbuJ View in LinkedIn

STRANGE CIRCULAR WINDS. I observed that the Costa Brava weather often had conflicting wind conditions as seen by layered cloud movements. It turns out that the wind weather maps show that the winds tend to roar down undeterred through France to the southerly mountain gap between Marseille and Perpignan -- the powerful Mistral, and the Tramontana and then eddy in a large stationary gyre between Palafrugell and Barcelona. Between the funnel of the Pyrenees and the Alps mountains, the barrier of the African heat, and the coolness of the Mediterranean made this a persistent winter and spring pattern. https://lnkd.in/e4_PbbuJ View in LinkedIn

SO ENDS this section on mesocrystals in biomineral materials found in nature. The combination of proteins and minerals in a mesocrystal structure gives these biomineral materials considerable strength without brittleness. As is always the case, self assembly is key. Curiously, the chemistry points to magnetic and electric fields being important for the formation of mesocrystals but it is not yet described in living systems. https://lnkd.in/eNACsghr View in LinkedIn

SELF-ORGANIZATION. “Nonclassical crystallization has many facets, which so far may appear unrelated. However, the common underlying principle is controlled self organization. As this is a common principle in nature, we can further learn from natural organization schemes to take advantage of evolutionary optimization.” https://lnkd.in/eNACsghr View in LinkedIn

BIOLOGY IN CHEMISTRY. “Mesocrystal formation has a lot in common with known biological structuration processes and one can state that there is certainly a lot of "biology" involved in such nonclassical crystallization processes. This is also found in the related field of the so called biomorphs.” https://lnkd.in/eNACsghr View in LinkedIn