Solved!

I'm trying to replace the light pull switch on the ceiling fan. Breaker is off, light bulbs are out.

The old switch has two black wires that run into the light socket, out of the socket comes a white and black wire. The black wire seems to be connected all the way through, the white wire obviously starts in the small socket fixture.

How do I connect these wires? Further up is a crimp connecter on the white and black wires.

I thought this was going to be easier.

Edit: pictures hopefully fixed.
I also don't have any wire nuts or similar connectors apparently so, I am running to grab that.

Edited: link to pics deleted for my sanity

I have a light/fan combo in a bathroom that are controlled with a single switch. I want to control them separately, but running a new wire would require ripping out drywall, which I don't want to do. It is in a guest room, so it can't be controlled with an app, even though I know there are ways to give guest access to certain home automation systems.

The power runs up from the floor, through the switch, and then up to the fan, so I have power at both locations. The wiring for the fan is in the attic, so putting something up there is easy.

What I imagine exists is a remote double relay that can be controlled by 2 physical switches(preferably single gang, but I am prepared to open up the wall a bit to install a double gang box). I would prefer that the relay be powered by 120v, rather than a 12v device that needs a plug somewhere, but its not a total deal breaker.

Anyone have any ideas?

Ok, this is one of those thoughts I have in my brain and that I can't quite get rid of.
It breaks down into a couple of questions. For the purposes of this, I'm aware that what eyes see is the reflection of light bouncing off objects, but I'm curious the impact on the visibility of both objects and other lights.

A. If eyes emitted any light, could they still see anything at all?
B. If eyes emitted, for example, red light, could they see everything except red items? What about red lights? Does this change if the light is green or violet?
B.1. If they can't red things would they just be invisible?
B.2. If they can't see red lights, would it matter if the red light they're seeing is brighter or dimmer, and would it still be an invisible/blank space?
C. I'm not sure how infrared interacts here but I know animals that sense infrared do emit it, is there a reason that's different, if it's different.

The internet is mostly not super helpful with this, since eyes don't emit light, just reflect it and look glowy, but yeah, anyway... thanks for entertaining my weird fixation.