More likely you d use a camera in the ceiling and probably want to process it with opencv.
Floor reflection unity.
More info see in glossary window that are used for editing the size and probe origin properties directly within the scene.
Screen space reflection is a technique for reusing screen space data to calculate reflections.
The effect descriptions on this page refer to the default effects found within the post processing stack.
I can t wrap my head around how do you make a floor that reflect the environment and just the floor.
You can probably use this for more things like wall mirrors and multiple reflections in the same scene but that would require quite a bit more scripting magic.
I suspect that this will be the hardest part of what you need to accomplish.
With the leftmost button size selected.
Now i did realize that unity free has reflection probes.
It is commonly used to create more subtle reflections such as on wet floor surfaces or in puddles.
There are two buttons at the top of the reflection probe inspector a unity window that displays information about the currently selected gameobject asset or project settings alowing you to inspect and edit the values.
I like this opencv asset for unity.
It may be possible to get some sort of sensors in the floor and then you re doing entirely custom things to read the data.