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DEDUCTION. “All of this implies a consistent ansatz to be that each quantum particle is associated with a Gaussian interaction rate profile.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

EUCLID AND BLACK HOLES. “Gaussians interactions give rise to Euclidean geometry. Relations such as Pythagoras’ theorem (and relations with angles in general) can be recovered from that consecutive interactions, by necessity products, add up in terms of lengths.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

BELL CURVE. “The fall-off of relative geometry away from geometry without an imposed scale is Gaussian, and relative geometry is sensitive to boundary conditions modulus Gaussian profiles.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

These catenations today look charming and old worldly, but in times past in the city of a thousand sieges, Girona, they could mean the difference between the quick and the dead. View in LinkedIn

WHERE SPACETIME DIES. “Supposedly, matter falls inside the black hole whenever it reaches its event horizon. The Planck scale, however, imposes a limit on how much matter can occupy the center of a black hole. It is shown here that the density of matter exceeds Planck density in the singularity, and as a result, spacetime tears apart.” https://osf.io/js7rf View in LinkedIn

ACCESS PERMITTED. “As to the profile of the quantum interaction rates (in equilibrium), the fall-off of the profile is implied by several properties of the static, flat space-time.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

IMPLICATION. “Although the analysis decouples properties related to time from those of space and only probe the latter, a statistical average is implied in the coordinates of a flat, vacuum reference frame, where the configuration (σi) needs to be shaped by some flatness condition.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

PARTIAL ANSWER. “While these properties seem to be internally consistent and in agreement with an information origin of space-time, they say nothing of the nature of quantum fluctuations, or of restrictions from properties of curvature on a macroscopic scale.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

STANDARD REFERENCE. “The suggested interaction profile is derived only from classical structures: the static, flat scenario analysed in section 2 and properties of Euclidean space and the metric.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn

PRE-EQUILIBRIUM. “The profile is an idealization in the sense that its spread must be limited by causality.” https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf View in LinkedIn