Background:
As I was thinking about an alternative approach to the question: "why is there a finite speed of light, and why its magnitude corresponds to c?" –ultimately, I was trying to understand from which more fundamental theory could the electromagnetic permeability and permittivity of vacuum be derived from, as I share the view that only dimensionless constants are truly fundamental–, I felt on these papers (here and here) which seem to suggest that the speed of light is originated from the quantum properties of vacuum, more precisely, to the magnetization and polarization of fermion pairs in a quantum vacuum model. As far as I know, the existence of those short-lived (so-called) virtual particle pairs is made possible by the Heisenberg uncertainty principle (further reading).
I couldn't help but wonder if one could take the other way round, namely, if one could start from the special relativity principle which imposes c as the maximum speed of transmission of information/interaction and, by logical inference, find the necessity of an uncertainty principle which allows the existence of virtual particles pairs, that is, of quantum fluctuations in vacuum. As I am relatively new to these subjects (I am still at the undergraduate level), and I suspect my reasoning to be in some way inconsistent, I would appreciate the opinion of any more knowledgeable person. Also, please excuse any misunderstanding of the underlying physics.
My question is, then:
Could this link between the uncertainty principle and the finite speed of light be envisageable? If it were, could it act as a conceptual connection between the principles of special relativity and quantum mechanics? If not, which logical problems would it encounter?
P.S.: I also found this similar discussion on ResearchGate, which could be useful to anyone interested on answering this question.