Intrigued by cosmological challenges and debates over the fundamental laws of the physical world, David Tong—a theoretical physicist at the University of Cambridge—is giving the continuity-discontinuity interrelation a closer look. He writes that the term “quantum mechanics” could said to be a misnomer for a theory that formulates its equations in terms of continuous quantities . He cites Leopold Kronecker's proclamation “God made the integers, all else is the work of man.” and counters with “God did not make the integers. He made continuous numbers, and the rest is the work of the Schrödinger equation.” . Tong explains the latter in detail:
Integers are not inputs of the [quantum] theory, as Bohr thought [Danish physicist Niels Bohr “implemented” discreteness at the atomic scale]. They are outputs. The integers are an example of what physicists call an emergent quantity. In this view, the term “quantum mechanics” is a misnomer. Deep down, the theory is not quantum. In systems such as the hydrogen atom, the processes described by the theory mold discreteness from underlying continuity.
Quantum phenomena are these days demonstrated and animated in educational as well as entertaining videos. The Zeitgeist-driven perception: What I simulate and animate, is what I see and believe in. Yet, living in a digital age does not automatically imply living in a digital universe.
Keywords: physics, philosophy, quantum theory, physical world, pointillist universe, emergent integers.
References and more to explore
 Quantum Mechanics: Solving Schrödinger's equation [users.aber.ac.uk/ruw/teach/237/hatom.php].
 David Tong: The Unquantum Quantum. Scientific American, December 2012, 307 (6), pp. 46-49 [www.nature.com/scientificamerican/journal/v307/n6/full/scientificamerican1212-46.html].
 Quoted at axeleratio.tumblr.com: axeleratio.tumblr.com/post/36680758289/god-did-not-make-the-integers-he-made-continuous.