Here we describe an experiment where the position and momentum of photons in two closely separated modes were, for the first time, simultaneously measured in the same space-time region.
After four hundred years, a dialogue is recreated between the characters that put forward the theory of mechanics in Galileo's Discorsi. The deeds and ideas Galileo Galilei are an ode to free thinking without prejudices.
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$\overset{o}{\varphi}^{2}=s_{\diamond}+x_{\diamond}\check{\mathbf{e}}_{x}+y_{\diamond}\check{\mathbf{e}}_{y}=s^{2}\left(1-\frac{x^{2}}{s^{2}}\right)\left(1-\frac{y^{2}}{s^{2}}\right)+2sx\left(1-\frac{y^{2}}{s^{2}}\right)\check{\mathbf{e}}_{x}+2sy\left(1-\frac{x^{2}}{s^{2}}\right)\check{\mathbf{e}}_{y}.\label{eq:sca squ fact}$
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