An observed two-dimensional shadow might encompass more information than its corresponding three-dimensional object. By changing the orientation of a three-dimensional object or the observer’s position, we detect different shadows from diverse perspectives, therefore increasing our available information. Starting from this simple observation and extending it to the Einstein’s four-dimensional spacetime and to Bekenstein and Hawking equations, we show how, in terms of special and general relativity, information content is not a stationary and fixed quantity as currently believed, but rather depends on the observer’s standpoint. This has deep implications in digital physics, information theory, computer vision, shape theory and cosmology.
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[v1] 2017-03-07 04:56:09
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