Receiver/observer starts moving towards equidistant light pulses:
Frequency at the receiver shifts, which means that either the speed of the pulses relative to the receiver shifts proportionally (goodbye relativity, goodbye modern physics), or distance between pulses shifts inversely proportionally, in accordance with the formula
(frequency at receiver) = (speed of light relative to receiver)/(distance between light pulses)
The motion of the receiver cannot change distances between incoming pulses, can it? Here is a confirmation coming from the headquarters of Einsteinian physics:
Max Planck Institute for Gravitational Physics: "Here is an animation of the receiver moving towards the source...You can see for yourself that, once more, there is a blue-shift - the pulse frequency measured at the receiver is somewhat higher than the frequency with which the pulses are sent out. This time, THE DISTANCES BETWEEN SUBSEQUENT PULSES ARE NOT AFFECTED, but still there is a frequency shift. As the receiver moves towards each pulse, the time until pulse and receiver meet up is shortened. In this particular animation, which has the receiver moving towards the source at one third the speed of the pulses themselves, four pulses are received in the time it takes the source to emit three pulses." https://www.einstein-online.info/en/spotlight/doppler/

Frequency at the receiver shifts, which means that either the speed of the pulses relative to the receiver shifts proportionally (goodbye relativity, goodbye modern physics), or distance between pulses shifts inversely proportionally, in accordance with the formula
(frequency at receiver) = (speed of light relative to receiver)/(distance between light pulses)
The motion of the receiver cannot change distances between incoming pulses, can it? Here is a confirmation coming from the headquarters of Einsteinian physics:
Max Planck Institute for Gravitational Physics: "Here is an animation of the receiver moving towards the source...You can see for yourself that, once more, there is a blue-shift - the pulse frequency measured at the receiver is somewhat higher than the frequency with which the pulses are sent out. This time, THE DISTANCES BETWEEN SUBSEQUENT PULSES ARE NOT AFFECTED, but still there is a frequency shift. As the receiver moves towards each pulse, the time until pulse and receiver meet up is shortened. In this particular animation, which has the receiver moving towards the source at one third the speed of the pulses themselves, four pulses are received in the time it takes the source to emit three pulses." https://www.einstein-online.info/en/spotlight/doppler/
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