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Ducting in the Earth's magnetosphere and ionosphere at low HF frequencies (1-4 MHz). Some similarities with Whistlers.
If the Sun effects the Earth's magnetic field lines via the magnetosphere then it would also play part in the interference of these radio wave's distortions and time delays.
They undergo dispersion of several thousand kHz due to the slower velocity of the lower frequencies through the plasma environments of the ionosphere and magnetosphere.
Maybe not a source but a contributing factor. If we were to accelerate a particle (or radio wave in this case) a slight time dilation occurs, the signal slows from our perspective, and a length contraction, singal appears distorted.
Some believe that the aurora activity that follows a solar storm is the source of LDEs.
All of these relativistic explinations show that the signal can be slowed, speed up and distorted as seen from the perspective of an observer but not reverse time. We would need more than just a big magnet and a plasma solar flare to do that, I would think...if it were even possible.
The best thing to find would be a data packet with a time stamp BEFORE it was sent.