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A section through some seventy years of a sentient creature’s life, visible at a glance to those who know how to read the story. View in LinkedIn

ROLE OF SYMMETRY. “The key to a relative geometry is the symmetry of the set-up, and for that we now proceed with two illustrations: slit and edge diffraction.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

FREE OF OBSTACLES. “Relative geometry simply refers to a flat space-time which does not have a metric equal to the identity matrix in the vacuum reference frame (x,y). Away from obstacles, the relative geometry needs to approach the reference frame quickly, likely exponentially fast.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

INFORMATION FLOW. “Relative geometry in flat space-time: relative geometry would be present already in flat space-time and occur due to obstacles to information flow. It would introduce extra structure at changes in information connectivity, and so be non-trivial near e.g. apertures and edges.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

BIOMINERAL MESOCRYSTALS. “An important recent finding is that several Biominerals turned out to be mesocrystals like sea urchin spines, sponge spicules, foraminifera, nacre, calcite prisms in mussel shells,corals, or egg shells, as summarized by Oaki et al. and for calcareous sponge spicules.” https://lnkd.in/eNACsghr View in LinkedIn

ALCHEMY. “Once a mesocrystal is formed, it can be transformed to a mesocrystal of another mineral system by topotactic conversion under favorable conditions. The term topotaxy (Greek; "topos" = "space" and "taxis" = "in ordered manner") describes all solid state reactions that lead to a material with crystal orientations, which are correlated with crystal orientations in the initial product.” https://lnkd.in/eNACsghr View in LinkedIn

MINIMAL ENERGY STATES. “The driving force for the geometrical alignment is the minimization of the interface mismatch energy by forming a coherent interface and reducing the exposed surface area while edge sharing is promoted by reduction of the amount of dangling unsaturated bonds along the edge, which have an inherently high chemical energy.” https://lnkd.in/eNACsghr View in LinkedIn

GEOMETRIC CONSTRAINTS. “The fourth possibility for the formation of a mesocrystal would be a simple geometric argument. When crystalline nanoparticles grow and these nanoparticles are not spherical in shape, simple entropic arguments (known from the Onsager theory of liquid crystallinity) can explain their alignment in a constrained reaction environment upon particle growth.” https://lnkd.in/eNACsghr View in LinkedIn

MINERAL BRIDGES. “An assembly of mineral bridge connected crystals is in fact also a single crystal. Thus, this concept is the most straightforward one among the mesocrystal formation mechanisms to explain the mutual crystallographic orientation of the nanocrystal.” https://lnkd.in/eNACsghr View in LinkedIn

SOLVENT ACTIONS. “Release of surface hydration water or attached surfactant molecules can yield an additional entropic driving force besides the energy gain through elimination of two high energy surfaces. This would transform the mesocrystal into a single crystal.” https://lnkd.in/eNACsghr View in LinkedIn