A Dyson sphere is a hypothetical megastructure that encompasses a star and captures a large percentage of its power output. The concept is a thought experiment that attempts to imagine how a spacefaring civilization would meet its energy requirements once those requirements exceed what can be generated from the home planet’s resources alone. Because only a tiny fraction of a star’s energy emissions reaches the surface of any orbiting planet, building structures encircling a star would enable a civilization to harvest far more energy.
What does IR red shift into over cosmic distances? But it would be just as, if not less, noticeable as a star suddenly dimming to [100%-optimal capture rate]
Deeper IR, microwave and radio. Within a galaxy, redshift can be ignored. In another galaxy, the issue is moot, you don’t need to worry about them and they don’t need to worry about you.
Our current scopes can pick up brown dwarfs with a surface temperature below freezing. An object the diameter of a planetary orbit, with the gravitational effect of a main sequence star and giving off just black body radiation is gonna stick out like a neon “Interesting stuff here!” sign the moment someone does a long wavelength survey of your general region.
Even if you build a swarm instead of a solid shell, you’re still going to shift the star’s apparent spectrum towards IR, from the swarm radiating waste heat. A star whose mass, diameter and emission spectrum don’t match up with the math is inviting investigation, regardless of how you try to mask what you’ve been doing.
The gravity from the star will also still be there regardless of how much of its EM signature is visible outside of the sphere.