In this model, Planck’s constant is the smallest unit of energy because it represents the core network operation, and a photon is the simplest entity possible because the network can’t do less than that. Yet if Planck’s constant was less, atoms would be smaller, so why does it also define the size of space? The equations of physics don’t say why the same constant affects both energy and space, just that it does.
In a physical world, energy could get smaller and smaller, but a processing world needs a core process, here defined as a discrete circle (3.3.1). The photon’s energy is then a vibration that sets values in a discrete transverse circle at right angles to our space, so the smallest energy unit that is Plank’s constant, depends on the size of that circle, which is the number of values set. The transverse circle size that defines Plank’s constant then depends how many neighbors a network point connects to in a plane.
The last chapter also defined a planar circle in our space that limits how a photon vibration is passed on (2.2.10). The circumference of this circle defines the radius that separates adjacent network points, and so is the smallest distance of our space. The smallest unit of our space is then defined by the size of a planar circle, which again depends of how many neighbors a network point has in a plane.
The size of a transverse circle then defines the unit of energy, and the size of a planar circle defines the unit of space, so if the quantum network is symmetric, both will be the same size. It follows that if Planck’s constant reflects the size of a transverse circle, it will also reflect the size of a planar circle. The basic units of energy and space then relate because both derive from the same network feature, of how many neighbors a point can connect to in a plane. Planck’s constant defines the units of both space and energy because both reflect the connectivity of the quantum network.