Assume you cast False Life at 1st-level, gaining 5 THP, we'll call this one False Life A. You then cast False Life at 1st-level again, gaining 8 THP, we'll call this one False Life B.
Bolstering yourself with a necromantic facsimile of life, you gain 1d4 + 4 temporary hit points for [1 hour].
The rules on Temporary Hit Points state that:
Healing can't restore temporary hit points, and they can't be added together. If you have temporary hit points and receive more of them, you decide whether to keep the ones you have or to gain the new ones. For example, if a spell grants you 12 temporary hit points when you already have 10, you can have 12 or 10, not 22. Unless a feature that grants you temporary hit points has a duration, they last until they're depleted or you finish a long rest.
So, in this scenario, you decide whether to gain 5 THP from False Life A or 8 THP from False Life B. Let's assume you decide to gain the 8 THP from False Life B. The section on Temporary Hit Points does not specify that False Life A ends. The THP from False Life A most likely weren't "depleted," as the rule never specifies that they would be, and False Life has a duration of 1 hour, which means it ignores the section about the effect ending once depleted.
The rules on Combining Magical Effects state that:
The effects of different spells add together while the durations of those spells overlap. The effects of the same spell cast multiple times don't combine, however. Instead, the most potent effect--such as the highest bonus--from those castings applies while their durations overlap, or the most recent effect applies if the castings are equally potent and their durations overlap.
Since False Life B grants 8 THP, compared to False Life A's 5, False Life B would be the most "potent" effect, and therefore "applies" its effects, granting you 8 THP. Assume you then take 4 damage, and the 8 THP granted by False Life B becomes 4 THP, False Life A would then become the most "potent" effect, applying its effect, and granting you 5 THP, as False Life B's 4 THP no longer applies, but enters the state with which False Life A was in previously, waiting to become the most "potent" effect once the THP granted by False Life A drops below 4, effectively "stacking" temporary hit points.
Using a strict reading of the rules, is this RAW?