I am having a bit of trouble conceptualizing how Salesforce DX works. I just received a new computer for work and I set up the sfdx-cli and everything to get going. In my Git repo, I have all my source code, minus the config files under the .sfdx folder. Since I work at the office with one computer, and at home with another, I would like to be able to access the same scratch org from both computers.
However, when I try to connect my home computer to the same Scratch Org that my computer is connected to by sending myself the .sfdx config files, it tells me that I don't have the correct configuration for this org. I assume the configuration is somewhere inside the apex.db file, which I can't inspect to confirm my suspicion.
Does anybody have a clear picture of how I could connect the two computers to the same scratch org?