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?

The UCMJ ( if that is even applicable today) states, allows 4 hrs. Of sleep in 24 hrs. I ain't nothing special but as the men with me on many occasions, for 3 or 4 days without sleep was not uncommon. A cat nap, one man at a time was all. If it was what you referring to as "sleep" was done...CHARLIE would see to it you woke up with your throat cut. Boy Scouts get to sleep to play, In war you stay awake to live. Sounds like a personal problem to me. Chaplains hours are 9 to 12. Or quit.

Your in the Military roll with it

As an ongoing thing, talk to the PSG and set up a separate PT session for your section. In the meantime, suck it up

When I was stationed in Germany, I worked the night shift in a computer operations section for logistics. Our work schedule was 1630 until we got finished with our nightly work schedule. Some nights, we worked until 1930, some nights, we worked until 0600. Our section was exempt from morning PT formation and morning formation. Our OIC worked this all out with the company and battalion commanders. We were still responsible for getting our workouts in, because we were NOT exempt from PT tests, weapons qual, and the duty roster. I would recommend that this particular soldier needs to have a chat with his NCOIC and OIC as to have a more logical solution to his particular dilemma.

Suck it up. I was in a SIGINT unit where we did rotating shifts. Days, eves, mids, & then two days off. We would work all night & then have to do PT, do the APFT, train for the range, go to the range & qualify, & then do all kinds of things. And don't you dare fall asleep. If the PT field was getting the grass cut or the range had issues, we would have to mull around until things were ready. Sometimes in the afternoon. This occurred at several strategic assignments I was at. Our favorite time for the APFT in Hawaii was at midnight after an evening shift. It was laid back, cooler, & nobody else around. We just had to whisper loudly so we didn't disturb those who worked normal hours. Is it fair? No. But it does have it's benefits. Make sure to grab good sleep time when you can & when you do go to war, you won't be crying when the enemy attacks you after only 2 hours asleep. Been there & done that too.

Too many anecdotal stories of coming to PT still feeling the effects of drinking the night before (especially in Germany). That was nothing compared to being in Korea during that time. Not only the aftereffects of Mechcu but add in the smell of Kimchi coming out through the sweat pores and it is far worse.
As for the problem of the SPC (P), since she posted this two years ago, I would have liked to know as a soon-to-be NCO how she resolved the issue. It is not fair that her shift was treated differently. She did not say how many people were affected by the policy, there is strength in numbers.

Under the regs have changed since I ETSed, leadership is required to give you the opportunity to sleep for 7 hours (but not consecutively). As said by all responses, it sucks. However, it is also a poor leadership decision which obviously is leading to poor morale. I would talk to my team leader, squad leader, and platoon sergeant. But don't just go and complain. I am sure they already know that the situation sucks and is bring down the company's morale. Instead, trying to come up with a viable solution to the problem that might appeal to your 1SG or at least your NCOs will be able to sell to him. Then, with solution(s) in hand, talk to your NCOs. Present to them the problem, the consequences of the problem (lower morale, likely lower numbers of Soldiers reupping, etc), and then the possible solutions that might be acceptable to your 1SG. Think seperate formations and PT for each shift with a weekly or monthly 0530 PT formation for the whole or majority of the company. You have to give something.

There's my two cents. Best of luck.

Suck it up or kick rocks. Some of us went on 30 minutes asleep a day for months overseas. Maybe try to get less sleep on your own and adjust. Tower guard is always an option too.

My suggestion is to talk to the 1SG off line explain your situation and work out an alternative

Army regulations state that you be allowed only 6 hours downtime while in garrison and 4 hours downtime while on FTX or deployed. Those are down times, and if it takes you half an hour to fall asleep you get 3 and a half or 5 and a half hours sleep. This is why you learn to sleep when you can and fall asleep fast. You are a soldier, you chose this, you swore an oath and now you're going to whine about having to follow orders because you need your nappy time? Suck it up and grab a nap before and after or just plan your sleep time for after and stay the hell awake until PT is over. You have from zero hundred hours until formation, then I would imagine an hour and a half PT at most so you have from 0700 until 1600, that alone is 9 hours after PT.