This theory predicts that the Fibonacci spiral is not formed because of economy of growth or space but because space and time is being formed by a process of spherical symmetry forming and breaking.
Nothing has greater organization or lower entropy than a sphere and the electron is the most spherical object in the Universe. As the spherical symmetry is broken it creates greater degrees of freedom for the increase in statistic entropy that we have in the Second Law of Thermodynamics.
In this theory 'time' is a physical process of energy exchange formed by the spontaneous absorption and emission of light, explained mathematically by Schrödinger's wave equation the quantum wave-particle function Ψ of quantum mechanics, with the future continuously coming in to existence with each photon electron coupling. If the quantum wave particle function Ψ is reformulated as a linear vector then all the information I have found says that each new vector is formed by adding the two previous vectors together this forms the Fibonacci sequence.
As can be seen on the diagrams in the videos we have a photon electron coupling representing (the moment of now) time or t = 0 with +1 and -1 representing the positive and negative of electromagnetic waves or light. Therefore we even have the start of the Fibonacci sequence 0, 1, 1... In the diagram this is linked to Euler Identity giving this beautiful equation a place in the structure of space and time!