Planck Core Energy

Let’s estimate the energy contained in a cubic meter of Planck core. I imagine a Planck core in a supermassive black holes as an arrangement of spherical electrino and positrino particles packed as tight as possible, i.e., adjacent to one another. This is a sphere packing problem and there are two well known ways to pack spheres in the densest arrangement. These are called face-centered cubic (FCC) and hexagonal close-packing (HCP).

Wikipedia

The volume packing density is given by the formula \mathbf{\frac {\pi }{3 \sqrt {2}}} .

Let’s presume that each Planck scale electrino and positrino is a sphere with a radius of the Planck length, \mathbf{L _{p}} , which is \mathbf{1.6 x 10^{-35}} meters. The volume of a sphere is given by \mathbf{\frac {4}{3} \pi r^{3}} .

How many total Planck particles are contained in a cubic meter of Planck core? It is the volume of the cubic meter (length x width x height) times the density of the lattice divided by the volume of a Planck particle.

\mathbf{particles = \frac {1^{3} \frac { \pi }{3 \sqrt {2}}} {{ \frac {4}{3} \pi L_{P}^{3}}}}

\mathbf{particles = \frac {1} {4\sqrt {2} L_{P}^{3}}}

Each Planck particle carries the Planck energy, \mathbf{E _{p}} , which is \mathbf{1.956 x 10^{9}} joules.

So we estimate the energy of a square meter of Planck core as \mathbf{\frac {E _{p}} {4\sqrt {2} L_{P}^{3}}} .

If we plug in our constants, this results in \mathbf{8.2 x 10^{112}} joules.

How does the energy of a cubic meter of Planck core compare?

Total Energy (Joules)
A cubic meter of Planck core\mathbf{8.2 x 10^{112}}
Universe (science estimate)\mathbf{4 x 10^{69}}
Sun\mathbf{1.2 x 10^{44}}

We can presume that current scientific estimates of the energy in the universe are way off because science has not considered several large categories of energy: a) spacetime gas itself, and b) that the cores of dense black holes do not fully participate in gravity. However, the energy contained in a true Planck core is extremely large. The open question is then whether massive black holes truly develop a Planck core, or if the core is simply at such high energy and pressure that under the proper conditions it can breach the event horizon at the poles or in a massive collision.

Interestingly, there is a precedent for the value \mathbf{10^{113}} joules, but it has been calculated as the the energy density of a cubic meter of vacuum!

Using the upper limit of the cosmological constant, the vacuum energy of free space has been estimated to be \mathbf{10^{-9}} joules per cubic meter. However, in both quantum electrodynamics (QED) and stochastic electrodynamics (SED), consistency with the principle of Lorentz covariance and with the magnitude of the Planck constant suggest a much larger value of \mathbf{10^{113}} joules per cubic meter. This huge discrepancy is known as the cosmological constant problem.

Wikipedia

GR-QM era science does not understand that spacetime is composed of matter-energy particles which form a superfluid gas almost everywhere in the universe. And without understanding that spacetime is matter-energy particles, of course they don’t realize that spacetime gas has a temperature. At the highest temperature of spacetime matter-energy, it changes phase into a Planck particle core at \mathbf{10^{113}} joules per cubic meter. Perhaps the cosmological constant problem is solved by realizing that spacetime is a gas with a temperature and that the two estimates of vacuum energy are at vastly different temperatures.

J Mark Morris : San Diego : California : February 14, 2020 : v1

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