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Numerical Free Physics Intuition: Is It Faster to Fall Through the Earth or Orbit to the Other Side?
Numerical free intuition in the physical sciences will become more important than ever as we learn to interact with AI "colleagues" to study our world.
Figure 1: The Shuttle Radar Topology Mission, a collaboration between the DLR (Deutsches Zentrum für Luft- und Raumfahrt, ), ASI (Agenzia Spaziale Italiana, ) and , used radar ranging to produce a complete, detailed topographical map of our home between 60º latitude North and 56º South with a lateral resolution of 30 meters. Axial resolution is difficult to define: averaged over the 30m×30m region that the radar probe reflects from, the resolution is a few centimeters (hundredths to tenths of the wavelength). This means that if one low pass filters the terrain by a low pass filter with 30m×30m Fourier kernel, the resulting shape can be resolved within centimeters. Each interferogram point is the altitude averaged over the 30m×30m region around the point.
I have a VERY long history of solving physics problems — mainly electromagnetic field simulation as well as, in later years, numerical relativity as my confidence in numerical processing strengthened and i knew that i could…