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PARITY. “Gödel's Incompleteness Theorems have the same scientific status as Einstein's principle of relativity, Heisenberg's uncertainty principle, and Watson and Crick's double helix model of DNA.” https://lnkd.in/eMrs9PXv View in LinkedIn

DIFFERENT PERSPECTIVE. “With slits however, the maxima and minima of the light distribution after the aperture describe hyperbolae, which are bent with respect to (x, y) but straight lines in the relative geometry delineated in figure 1.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

STANDARD VIEW. “An illustration of the slit diffraction example can be found in figure 1. There, the reference frame (x,y) is flat, and incident light rays would delineate straight lines in the absence of an aperture.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

FLATNESS. “The point made is that based on the symmetry of the particle diffraction, it is possible to identify a relative geometry metric that is compatible with general relativity, since it is flat.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

EXAMPLES. “In each case, the pair of relative geometry metric and reference frame metric represent metrics general relativity does not distinguish between, where a space-time originating in information exchange would do so, i.e. in agreement with different physics being observed (in terms of particle paths) for the two distinct scenarios (obstacles vs not).” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

CONCRETE examples of relative geometry. “These represent metrics that appear bent in the reference frame, but which represent flat space-time metrics.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

THE NUT. “Note that the concept fits within flat space-time. That an observer comparing one region with a reference frame based on the vacuum configuration might see non-trivial geometry is in agreement with diffeomorphism invariance.” (“relative geometry constitutes a first deviation from the properties of a standard space-time scenario.”) https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

This Girona stone mason, like the majority, spends 95% of his time cutting slabs of stone for kitchens, a far cry from his profession 50 years ago. View in LinkedIn

Raindrops perfectly inverting distant tree images. View in LinkedIn

ILLUSION OF CHAOS. “Behind the veil of apparent randomness, though, many processes are highly ordered, following simple rules.” (James P. Crutchfield, Complexity Sciences Center and Physics Department, University of California at Davis). https://lnkd.in/evskumw5 View in LinkedIn