The evolution of the universe can be expressed as its time evolution of its quantum propagators from an initial state (I) of zero amplitude to an eventual state (F) of infinite amplitude using Dirac’s bracket notations: á¥|exp(-iHT)|0ñ. Normalizing, this becomes a probability wave propagator á1|exp(-iHT)|0ñas state of absolute uncertainty (zero probability) to state of absolute certainty (unit probability).

Now, if the total time parameter T is divided into N equal time interval dt=T/N then the midpoint time marker is ½Ndt. All preceding markers form a time reverse harmonic sequence of Ndt:1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9,···,1/(N-2), 1/(N-1), 1/N or dt. If N®¥then dt®0. On the other hand, if dt equals Planck time and T is approximately 14 billions years then N equals approximately the integer 4 followed by 60 zeros of possible quantum states for both fermions and bosons and anything else. Since the ratio of matter particles is one to every 10 billions photons, the number N can accommodate 4 followed by 50 zeros times of matter particles and photons. This can suggest that fractal dimensions of reciprocal primes are reserved exclusively for fermions and reciprocal evens for bosons with enough excess fractal dimensions for squares of energy as quanta of space-time for the absolute quantum vacuum.