If you had an oscillating boson in a vacuum with an observer some distance away, how would you calculate the energy that the observer receives or loses as a result of experiencing a gravitational wave?
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2Your title and body are asking two quite different questions. A detector doesn’t absorb all of the energy that passes through. – G. Smith Oct 14 '20 at 20:12
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1Are you aware that we can’t detect gravitational waves from individual elementary particles? We can barely detect them from black holes and neutron stars. – G. Smith Oct 14 '20 at 20:13
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1Related: How much energy does the Earth absorb when a gravitational wave passes through it? – G. Smith Oct 14 '20 at 20:20
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Also, this answer shows how to calculate the gravitational energy emitted by a 2 body orbital system. – PM 2Ring Oct 14 '20 at 20:38
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I'm not really asking for a practical application just theoretically for a particle and observer. – JRRs Oct 15 '20 at 02:07