Good try, and less confusing (or confusing on a much higher level) than some alternatives, but the use of the word "really" and the implication that bubbles (and therefore quasi-particles) "don't exist" in this description is problematic because it is false: bubbles and quasi-particles exist and are as "really real" as electrons and water-droplets.
Nothing but metaphysical confusion is added by asserting that some things "really exist" while other perfectly ordinary things--things that can be created, manipulated, and destroyed--somehow "don't really exist".
A less metaphysically loaded description would be:
The mathematics that Majorana worked out was intended to describe elementary particles, which as the name suggests can't be divided into their component parts. It turns out that inside a superconductor, the motion of groups of electrons, all moving together thanks to the special properties of superconductors, can be described by the same math. These groups of electrons can be considered entities in their own right, and are called "quasi-particles". They are perfectly real: they just aren't elementary.
Furthermore, for quasi-particles the atomic lattice of the superconductor acts in the same way as empty space does for elementary particles: it gives them a place to exist and has properties that allow them to move around and interact with each other. Majorana's equations describes how they do this, so they are mathematically equivalent to elementary Majorana particles moving around in empty space.
Comments
Good try, and less confusing (or confusing on a much higher level) than some alternatives, but the use of the word "really" and the implication that bubbles (and therefore quasi-particles) "don't exist" in this description is problematic because it is false: bubbles and quasi-particles exist and are as "really real" as electrons and water-droplets.
Nothing but metaphysical confusion is added by asserting that some things "really exist" while other perfectly ordinary things--things that can be created, manipulated, and destroyed--somehow "don't really exist".
A less metaphysically loaded description would be:
The mathematics that Majorana worked out was intended to describe elementary particles, which as the name suggests can't be divided into their component parts. It turns out that inside a superconductor, the motion of groups of electrons, all moving together thanks to the special properties of superconductors, can be described by the same math. These groups of electrons can be considered entities in their own right, and are called "quasi-particles". They are perfectly real: they just aren't elementary.
Furthermore, for quasi-particles the atomic lattice of the superconductor acts in the same way as empty space does for elementary particles: it gives them a place to exist and has properties that allow them to move around and interact with each other. Majorana's equations describes how they do this, so they are mathematically equivalent to elementary Majorana particles moving around in empty space.
/End of metaphysical pedantry.
That isn't pedantry, that's a fantastic description. Thanks for posting it.