I am being told to go to PT by the command on only 4-5 hours of sleep. As a junior enlisted, how do I solve this problem?

Simple. Go to PT

GET THE FUCK TO PT AND SHUT YOUR FUCKING WHINEY LITTL MOUT !!

I have spent multiple combat and noncombat deployments, getting only 2 to 3 hours of sleep most nights. You adjust for it and do yoir job, then catch up on sleep when you can.
Remember you joined the military, it is very different than a civilian job. If you can not accommodate yourself to the military, ETS when it is your time.

Specialist, perhaps you could speak to your shift supervisor and ask to report to duty 15 minutes late due to the First Sergeants accountability formation(unless he wants you to actually complete PT, for which only the 0530 time is a viable solution). Better yet, ask your Platoon Sergeant to speak to both your first Sergeant and/or your shift supervisor to find a compromise that works for all involved. Otherwise, sleep for a couple of hours complete PT take a shower and then go back to bed.

Post Script: Like SFC Davila stated, when my fellow E4 mafia and I would were at our first duty station. Wwe would come in from a night out just in time for PT and then we would try to sleep it off during personal hygiene/breakfast and lunch hours. Take another nap after duty and then do it all over again.

I'm guessing that you're not an Airborne Ranger.

Specialist, do you remember being at Basic Training with only limited sleep time and then begin training very early the next day? If you worked an 8-hour shift at the hospital and had to attend PT at 0530 hours, you can go back to sleep afterwards until you have to get ready for your shift. Just because you work in a Garrison environment does not exclude you from always training and preparing for combat where you could be deployed at a moments notice. I highly suggest that you look at getting control of your time management skills and make some adjustment to your daily schedule to meet all the training requirements and work schedule. Your first line supervisor should also look at a rotation of soldiers in the work schedule at the hospital so that everyone in your platoon has an opportunity to experience a different work environment that will prepare them for combat situation. You have made it this far in the Army as a Specialist so I know that you have the skills and training to adapt and overcome to complete your mission.

But I didn't have to show up for Formation are PT as back in Germany I drove for the BIG BRASS as in LTC and up and I had to be in their office at 0700 and ready for the day . That was the best 3 yrs as I never did PT are Formation's if I wanted to know what was going on I would ask my 1st Sarg. other than that I never showed up .

Suck it up as I have been out at a concert half drunk and we had to be up at 0530 for PT and we had only get if we was luck 10 minutes and most days we never made it all the way through PT . And when I was in Desert Storm I worked from 1800 til 0600 and then I had 4 hours of guard duty and then I had to drive as I was a mechanic and I drove the company 20 ton wrecker and most days I made it back and most day's we didn't . So suck it up are ETS and I sucked it up and did 20 and if you can't handle the heat then get out of the kitchen and your lucky to work inside as I was an Army Engineer Heavy and we was the one's they called when things needed to be destroyed .

Do I believe you should receive a "late call," yes. Are you entitled to one, absolutely not.

But really, I can't believe a SPC in the same Army as me even has the temerity to bring this question here.

If anything, you should talk to your FLL, and see if they can run it up the chain that SM's working late night or overnight, should receive a "late call."

It sounds like the new leadership there may be trying to flex a little, to get your unit to toe the line.

The enemy doesn't care how much sleep you've had. Suck it up, butter cup.