Only thoughts and hints: G, h, c - could they be virtual? Or e.g. h is a secure sign of an "outer, hardware's" reality!?
I'd say the gravitational constant is empirical ... we simply measure a lot of things and average them, so it's a statistical value that could potentially be warped statistically (statistics is a mental concept ... the past doesn't physically exist, but we can understand that if we're already seen 50 apples fall at X meters/s^2, then the next one will likely do about the same thing

)
I think light speed is statistical in the same way and violations on small scales appear possible.
Plancks constant though ... I think that's likely a real fundamental. That's my guess at least. The statistical properties of it could be easily due to our statistical understanding of spacial distances on macroscales and not being able to directly witness the underlying dimensional construction of the universe.
At some point for time to appear as discrete events, there seems to truly need to be a fundamental unit of something. The infinite spaces and waves etc. don't really provide such an ability well (the wave characteristics of a photon are statistical constructions but physically photons end up acting like particles ... so given a doubt, I'd say the mentally imagined wavelike statistical approximations aren't giving the full picture ... of course the conflict is obvious to many, but specifically where the error stems from isn't as clear, though it seems the wave description is likely where the problem originates and this wave is also associated with light speeds and distances or space and inertia in general)
If photons were truly a wave, what part of that potentially infinite wave are we seeing when we get a "blip" for a photon? What if the characteristics of the detector and photon weren't identical? It seems you could have almost another entire branch of science develop simply to explain how two infinite and possibly not even identical objects see each other in quantized ways ... I won't say it's impossible, but it just seems overkill, especially when at small scales quantization appears to rule most things.
Consider that if two particles weren't exactly identical, how would you compare them to make any decisions regarding them? If you use another operation that supports infinite precision, like subtraction, you get another infinitely precise result. Of if you measure ratios, you get an infinitely long ratio, so these operations wouldn't create a discrete value. But you could use comparisons as in greater than or less than, or equality comparisions so that something is equal (or the same) or not. But in either of these cases the results are finite and the infinite scales rather irrelevant. You could replace such infinite values with a sequential ordering and get the same universe.
Like let's say three particles exist with energies of 1.372..., 2.7931... and 4.121...
Now if can only make discrete measurements of them in the form of <, = or > comparisons, well if they're infinite, then equality will likely never occur (the probability dies off to virutally nothing as the precision becomes longer).
So in the case if you were to simply make relative comparisons of energies then the values could easily be equated to 1, 2 and 3 and the universe would "look" the same.
Though if you add additional operations like division, subtraction and multiplication things become a bit different ...
If you could perform such operations while maintaining the original values, then some tricks could be done to quickly estimate a large number of digits for each particle ... but at least quantum mechanics doesn't seem to allow for such unobtrusive investigations ... so far. (I guess I'm not entirely certain of this. Back propogation has been claimed to allow a way to get over this partly and happens to also be seen as associated with consciousness ... I don't know. Just thinking ...)
Anyway, maybe it's a personal thing but to me it seems something is the same or it isn't and even magnitude comparisons between things that aren't the same result in a similar binary result of greater than or less than. If there are ways of physically circumventing this limitation to reveal more that discrete information about a particle, then maybe there are ways around it, so I might be assuming too much and am open to suggestions, but that's the way I see it for now.
But just as another example of what I believe is happening, consider two binary bit streams being sent through an "AND" operation that only transmits a one when both inputs are 1 simultaneously.
The output probability of a 1 is proportional to the input probabilities for 1s in each stream multiplied together. So is we two streams 100 units long and one stream has 40 of those randomly 1 and the has 70% 1s, then the average number of ones in the output would be 40% * 70% = 28%. So such an and operation on a small scales appears like multiplication. There are waves to use such simple operations to approximate squares, division, subtraction and addition (to an extent), exponential decay etc. So large numbers of very small operations can appear similar to a flat analog space, but that's only because we aren't seeing these individual bits but using large averages. I believe if we can untangle the 'bit operations' involved, many things that appear physical limits on large scales are only probabilistic limits and it's smiply a matter of "rigging" the dice to roll differently

(But of course the Uncertainy Principle is an issue because you can't do this easily without getting lucky ... so you're stuck rolling dice to create something that biases die rolls ... that's a challenge).