Planck Mass Plasma Vacuum Conjecture

Abstract

As an alternative to string field theories in R10 (or M theory in R11) with a large group and a very large number of possible vacuum states, we propose SU2 as the fundamental group, assuming that nature works like a computer with a binary number system. With SU2 isomorphic to SO3, the rotation group in R3, explains why R3 is the natural space. Planck’s conjecture that the fundamental equations of physics should contain as free parameters only the Planck length, mass and time, requires to replace differentials by rotation - invariant finite difference operators in R3. With SU2 as the fundamental group, there should be negative besides positive Planck masses, and the freedom in the sign of the Planck force permits to construct in a unique way a stable Planck mass plasma composed of equal numbers of positive and negative Planck mass particles, with each Planck length volume in the average occupied by one Planck mass particle, with Planck mass particles of equal sign repelling and those of opposite sign attracting each other by the Planck force over a Planck length. From the thusly constructed Planck mass plasma one can derive quantum mechanics and Lorentz invariance, the latter for small energies compared to the Planck energy. In its lowest state the Planck mass plasma has dilaton and quantized vortex states, with Maxwell’s and Einstein’s field equations derived from the antisymmetric and symmetric modes of a vortex sponge. In addition, the Planck mass plasma has excitonic quasiparticle states obeying Dirac’s equation with a maximum of four such states, and a mass formula of the lowest state in terms of the Planck mass, permitting to compute the value of the finestructure constant at the Planck length, in surprisingly good agreement with the empirical value.

Does Space Have a Gravitational Susceptibility? A Model for the ΛCDM Density Parameters in the Friedmann Equation

“…We substitute Equation (2-10), on the left hand side of Equation (2-2), after specializing to the one-dimensional case. Proceeding as above, we find that, ( This Gaussian looking function indicates a peak at, 0 x = , versus a trough, as in Equation (2)(3)(4)(5)(6)(7)(8)(9). A peak for a negative mass particle is equivalent to a "hole", for a positive mass particle.…”

“…Any positive or negative displacement from this equilibrium position, will lead to restoring forces tending to bring the negative mass particle back to, 0 x = . Equations (2-9), and (2)(3)(4)(5)(6)(7)(8)(9)(10)(11), are new equations.…”

“…Equations (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15), and, (2-16), tell us that the two planckions of opposite mass go through each other as if the other mass weren't there. This proves that the positive and negative mass planckions do not interact directly.…”

Quantum Mechanics Interpretation on Planck Scale

“…Moreover, Winterberg's theory is much more classical than that of 't Hooft, at least in its initial formulation, and is exactly non-relativistic, in the sense that even the Lorentz invariance is considered emerging and valid for low energies, an aspect that has preceeded the current forms of double relativity [50]. As we did for 't Hooft, we will give a short summary of the work of Winterberg here, following papers [51][52][53][54][55][56][57][58].…”

The Planck mass plasma roton solution of the cosmological constant problem

“…It is the Planck mass plasma hypothesis [3,4,5] which not only can give a plausible explanation for this coincidence, but this hypothesis also permits to obtain a value for the cosmological acceleration parameter 2 / q RR c  , where R is the world radius and R its acceleration. The Planck mass plasma hypothesis replaces supersymmetry by the assumption that space is densely occupied with an equal number of positive and negative Planck masses.…”