Abstract
We first show that Doppler’s effect implies that the time runs identically in the frames of reference of the source of light and the observer. Furthermore, we then show that the frequency shift due to the (assumed) expansion of space, if any, is “indistinguishable” from that due to the motion of the source with respect to the observer; and that the shift does not depend on the distance to the source. Observed frequency shifts of cosmological sources then need to be interpreted as being only due to their motions with respect to us. This has important implications for our ideas in cosmology.
Highlights
We show that the frequency shift due to the expansion of space, if any, is “indistinguishable” from that due to the motion of the source with respect to the observer; and that the shift does not depend on the distance to the source
In 1842, Christian Doppler discovered [1] that whenever a source of light is in motion relative to an observer, the period of the light wave as measured by that observer is different than that it is emitted by the source with
The frequency shift due to the expanding space is, mathematically rigorously, equivalent to the Doppler shift corresponding to appropriate velocity v, of the kind shown in Part (c) of Figure 2, with the “space’’ being Euclidean
Summary
In 1842, Christian Doppler discovered [1] that whenever a source of light is in motion relative to an observer, the period of the light wave as measured by that observer is different than that it is emitted by the source with. We are concerned with the implications of the general explanation of Doppler’s effect, with generality of explanation referring here to its applicability for any state of the relative motion of the source and observer, whether of uniform velocity or accelerated
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