Just wanted to add on here that I'm having the *exact* same issue. I have a 4,1 Mac Pro that has been flashed to 5,1 and upgraded to 2 x 6-core CPUs.
I, too, followed the step-by-step guide in the 2009 Technician PDF where you remove everything but the power supply and step-by-step add piece by piece. Everything goes fine with various diagnostic lights until I connect the processor and ram with the processor tray.
Once I do that, it turns on and the power light just flashes white continually. No powering off or anything. No memory diagnostic lights or CPU diagnostic lights. Everything looks fine except for the blinking power light, no chime / speaker feedback and no video. Fans spin up just fine.
I have 8 different 16GB sticks of RAM and I've tried all by themselves in Slot 1 of Processor A (with only Processor A installed), as well as in Slot 2, 3 and 4.
I have swapped the CPUs and that didn't help anything.
I'm out of ideas at this point. Open to others.
I have literally just purchased another Mac Pro 4,1 on Kijiji and will be picking it up tonight. Will try and swap the trays, etc. to see if I can get it working and narrow down the root cause. Any ideas from you smart lot, would be appreciated.
My goal here is to fix this Mac Pro to gift it to my neighbour friend for Christmas.
Cheers!
Josh
Btw, current state of things attached.