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Finding a Bound on the Information Transmitted through Newtonian Gravity

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Abstract:
According to Newton’s Law of Universal Gravitation, an object that is a certain distance away from another will experience a force proportional to the inverse-square of that distance. This force of gravity due to one body determines the other body’s motion. Consequently, information about each object’s location and mass must be exchanged. But how well can this information be communicated? Real-world signals are subject to many random processes in nature. These random processes introduce noise into a message that will be read by the recipient. We expect that gravitational signals will also be corrupted by noise and we therefore set out to investigate how noise propagates through a two-body system. In particular, noisy variation of the gravitational force will cause deviations in the orbital trajectories that can be quantified. Furthermore, a noisy gravitational force lends itself to analysis from an information theoretic perspective and is suggestive of a limit on the amount of information that can be exchanged.

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Citation

Daniels, Sultan, Miller-Dickson, Miles, and Rose, Christopher, "Finding a Bound on the Information Transmitted through Newtonian Gravity" (2021). Summer Research Symposium. Brown Digital Repository. Brown University Library. https://doi.org/10.26300/09q5-xd67

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  • Summer Research Symposium

    Each year, Brown University showcases the research of its undergraduates at the Summer Research Symposium. More than half of the student-researchers are UTRA recipients, while others receive funding from a variety of Brown-administered and national programs and fellowships and go …
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