In retrospect the solution to the Fermi Paradox was kind of obvious. When humans discovered they could modulate both the amplitude (AM) and frequency (FM) of radio waves in order to populate their airwaves with the music of their times, they naively figured that whatever aliens might be out there would similarly encode their sweet jams in the long waves.
Those waves cap out in the MHz frequency range. A thousand times faster you have the GHz range, and then a thousand times faster than that you have the THz range. Of course it's all light waves so you can modulate them just the same.
It wasn't until 2064 that Finn Haskin led a research team on the Sagan Space Telescope Array to analyze the spectral drift on the nearby bright star of Antares. Unexpectedly, the THz frequencies showed signs of regular modulation. Using advanced machine learning techniques, Haskin and team decoded the message: