This is how Ed Fredkin explained the nature of energy to me: There are two kinds of energy. Momentum is information disparity in space, and matter is information disparity in time. I don't even know if it is true, but it is a gem of deepest insight, if you can see it.
The trick is to understand how rate of change and shape of an observer get deformed depending on the observer's translation. Lorentz invariance seems to result from the observer's ignorance about its own deformation.
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This sounds weird. Whats the shape of an electron or photon?
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In Fredkin's thinking, a photon is a cylinder with a diameter of several meters, perpendicular to its direction of travel, and a height corresponding to its wavelength. Clipping a photon will destroy information about its momentum, which is why light falling through a gap strays.
End of conversation
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