Spell slots are something that we, as players, expend when we want our spellcasting PCs to cast a spell. It is a resource to limit how many powerful spells we can cast in a day. But for our characters in-game, they don't exist. So what are they?
The best way I can think of to illustrate my question is via an example involving a Kenku.
Background
I was going to ask the question "Can a (non-spellcaster) Kenku cast a Verbal-component-only spell that they have heard a spellcaster cast via Mimicry?" I knew the answer would be that they can't, but I was wondering what the in-game justification is for this.
Out-of-game, the answer is that they do not have the Spellcasting (or Pact Magic) class feature, and therefore do not have spell slots to expend to cast the spell, but that just replaced one question with another; what is a spell slot in-game? Knowing the answer to this would justify why the Kenku perfectly mimicking the Verbal component of a spell doesn't work in-game.
Comparison
There are other terms we use: HP, AC, XP; these terms do not exist in-game. My PC won't know what "HP" is. HP has an in-game description, as explained further in this question: What does HP represent?
In short, from the PHB, pg. 196:
Hit points represent a combination of physical and mental durability, the will to live, and luck.
So those are things that my PC might know about and understand; luck, the will to live, etc. They make sense in-game and are something my character could talk about.
What I've Looked Up
A Wizard's Spellcasting class feature (PHB, pg. 114) only describes the mechanics of what a spell slot is to the player (I didn't check the Spellcasting class feature for all the other classes), and the Spell Slots section (PHB, pg. 201) simply says (regarding flavour):
Manipulating the fabric of magic and channeling its energy into even a simple spell is physically and mentally taxing, and higher-level spells are even more so.
But that doesn't explain why, say, a Kenku who has learned to mimic a Wizard's spell's Verbal components couldn't cast a spell (without being a spellcaster class themselves; i.e. they have no spell slots).
Sure, it might "tax" them, but surely they'd be able to pull it off at least once that day? Or is it so taxing to even say that specific word or phrase that they wouldn't actually be able to even finish saying it "without the proper training" (e.g. being a Wizard), and thus cannot "complete" the spell? (NB: This isn't my question, it's just included to show my train of thought.)
Question
So what are spell slots in-game? What in-game "thing" do they represent? Is there an in-game justification for why a character who has spell slots can cast a spell in-game, whereas a different character without spell slots could not (even if they can satisfy the spell's components; i.e. a Kenku perfectly mimicking the Verbal component)?
If the flavour of certain spellcasting classes would influence the answer such that all classes cannot be explained by one explanation (i.e. because Warlocks have Patrons, Sorcerers have "a spark of magic within them", divine casters have gods or ideals, etc) then this question can just focus on Wizards specifically and what their spell slots mean, since a Wizard's relationship with magic (i.e. "learning") is closer to how a Kenku "learns" the Verbal component via mimicry.
Also, I'm not particularly interested in a settings-specific answer, but if a specific setting would influence an answer, let's assume the Forgotten Realms (as it is the default setting of 5e).
Just to clarify: I don't think the Kenku should be able to do this (e.g. a level 1 Kenku overhears a high level Wizard cast wish, uh... no), my question is why not from an in-game/lore perspective.