Hi Grant
I'm sorry for not providing enough information beforehand. I will try to summarize now.
Just to mention, it would be helpful if you first look at the photos earlier in the blog stream as they provide some explanation.
This is a 2011 (late) Mac Pro 15inch. It will not startup in safe mode or macOS recovery mode. I've reset PRAM, NVRAM and SMC several times. I've used Single User Mode and run FSCK -UY. Iv'e also run an Apple Hardware Test/ Apple Diagnostic and been given a message of no trouble found with the Hard Drive (Hardware Test?) and no trouble found with the Logic Board.
I've recently tried 2 different ways of trying starting up, both with StartUp Manager. (Holding "Option key" on startup)
A. Using the Mac HD (Kathy's MacPro 2011). I use option hold and select to launch the the HD itself next comes the apple logo is gray and has a strange progress bar with a couple places it's not defined well or has some overlapping lines. After partial progress the screen switches to an all white screen then turns a little gray before repeating self restarting several times until it simply freezes on the grayish/white color screen.
the second way of using the startup manager has a different final result.
B. Using the StartUp DVD or Flash Drive (you can see the DVD a photo )
I use the same option hold and select to launch the the DVD/Flash Drive itself; next comes the apple logo is gray and has a strange progress bar with a couple places it's not defined well or has some overlapping lines. After partial progress the screen switches to an all blue and is frozen like that. (the fan is running but nothing else happens until I force it off)
Additional information: from your questions...
Do you get the solid Apple? Yes
do you get the "regular" progress bar? Yes but a bit jagged as shown in the photo
does the progress bar get extended? tough one, I'm not sure? (probably)
does the Mac shut off? by itself? no only when I force it (correct that, it just turned itself off after just a few minutes of blue screen) perhaps it's intermittent ?
I'm not sure but I think you made an interesting point when you said
if the process stalls, this may indicate you have Bad Blocks on your Boot drive. The re-reading of Bad blocks can take a very long time (on the order of a quarter minute for each Bad Block).
If this is true is there anyway of knowing so and anyway of repairing or getting past it to get the machine started in to disk utility and allow me to erase it and start over??
Thank again for your help and patience!