Are there modifications I can make on a Mac Pro 2012 so it can run macOS Catalina? Are there any processor upgrades I can use to allow me to run Catalina on my trusty 2012 Mac Pro 5,1 ?

Thanks

Update!

It worked using http://dosdude1.com/catalina. Veering slightly from the video, I cloned my Mojave startup drive, and installed on the clone. 

At the point in the app and video where you are asked to make a USB drive installer, I selected "install to Computer". This worked!

After the install, the patcher app starts and installs some more patches. 

So far, so good.

However, I don't know how long this system will work! Will I be able to use Software Update? Use at your own risk! 

Please watch the video and use it as a guide.
There is a macOS Catalina Patcher by @dosdude1 that is supposed to be compatible with Mac Pro 5,1. As of this moment, it is currently confirmed to working with Dev Preview 9 and Public Beta 8.

With modifications like this, there is always the risk of data loss or bricking, so make sure to have good backups and follow directions carefully.