In TRIZ, used for finding out practical inventive solutions to engineering problems, they say:
“Remember that the fields include mechanical, thermal, chemical, acoustic, electrical, magnetic,gravitational, weak nuclear and strong nuclear. ”
They don’t deal in quantum physics but they deal with everything classical. So, maybe inverting your issue to see what’s on “the other side” may help.
It seems to me that once you have tangents, the ONLY thing they _must_ have in common is the connection point where the transformation occurs.
Beyond that, well it’s a tangent. It can do whatever you need it to without necessarily affecting anything it’s a tangent from.