Time Contraction Within Lightweight Reference Frames
The special theory of relativity teaches us that, although distinct inertial frames perceive the same dynamical laws, space and time intervals differ in value. We revisit the problem of time contraction using the paradigmatic model of a fast-moving laboratory within which a photon is emitted and posteriorly absorbed. In our model, however, the laboratory is composed of two independent parallel plates, each of which allowed to be sufficiently light so as to get kickbacks upon emission and absorption of light. We show that the lightness of the laboratory accentuates the time contraction. We also discuss how the photon frequency shifts upon reflection in a light moving mirror. Although often imperceptible, these effects will inevitably exist whenever realistic finite-mass bodies are involved. More fundamentally, they should necessarily permeate any eventual approach to the problem of relativistic quantum frames of reference.
KeywordsTime contraction Lightweight reference frames Doppler effect Special relativity
We gratefully acknowledge A. D. Ribeiro, G. M. Kremer, and C. A. Duarte for discussions. M.F.S. and R.M.A. acknowledge the financial support from the CAPES and the National Institute for Science and Technology of Quantum Information (INCT-IQ, CNPq/Brazil), respectively.
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