"We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough to have a chance of being correct" - Niels Bohr, Danish Physicist (1885-1962)
The Black-Hole Electron; A Mathematical Universe Hypothesis
Mathematical realism holds that mathematical entities exist independently of the human mind. Thus humans do not invent mathematics, but rather discover it, and any other intelligent beings in the universe would presumably do the same. Platonism is a theory that numbers or other abstract objects are objective, timeless entities, independent of the physical world and of the symbols used to represent them and echoes the Pythagoras quote; number is the ruler of forms and ideas. The mathematical universe hypothesis (MUH), also known as the Ultimate Ensemble, is a "theory of everything" proposed by the cosmologist Max Tegmark. The Matrix is a 1999 science fiction film in which reality as perceived by most humans is actually a computer simulated reality called "the Matrix" and is based around the mathematical universe of Pythagoras.
A charged rotating black hole is a black hole that possesses angular momentum and charge rotating about one of its axes of symmetry. If a black hole has the same mass and charge as an electron, then potentially it could share many of the properties of the electron including the magnetic moment and Compton wavelength.
This website describes a model of a mathematical universe as being a universe of dimensionless geometrical forms to which a physical dimensionality (the dimensions of mass, space, time..) is added via rotation, the engine for this rotation is the expansion of the universe in discrete steps. The model introduces a dual-state black hole electron as the origin of the physical dimensions, a comparison with the cosmic microwave background CMB and the topology of an expanding black hole universe and replaces the 4 forces with physical units of momentum. The philosophy behind this model is introduced in the e-book.
The black-hole electron of this model oscillates via rotation between a mass-state and a (magnetic-monopole) electric-state. This suggests that after each complete rotation the dimensions of the magnetic-monopole (ampere-meter AL) intersect with time T and cancel leaving, for a single unit of Planck time, an exposed Planck size black hole that is the source of mass (a unit of Planck mass).
Thus the dimensions of mass, space and time are not independent of each other but rather overlap according to a particular ratio (m^15 = kg^9.s^11) and cancel each other. This ratio is formed by the rotating electron. From this ratio we may derive and solve the dimensioned physical constants (G, h, c, e, me, kB...) in terms of mathematical forms, a principle requirement for any mathematical universe hypothesis. Results are consistent with CODATA 2014.
The model uses 2 dimensionless constants (1 is the fine structure constant alpha) and 2 dimensioned scalar units whose numerical values depend on the system of units being used, thus to solve the physical constants (G, h, c, e, me, kB...) as SI units we choose our 2 scalars appropriately, likewise if we were to met an alien for example, we merely need adjust these 2 scalars in order to solve his (G, h, c, e, me, kB...) in terms of his units and using his numerical values. The model is thereby 'galaxy-independent'.
If our physical dimensions are constructs of dimensionless mathematical forms; then mass, space and time are themselves constants. Measured in the black hole universe co-ordinate system all particles and objects travel at, and only at, the speed of light. There is no independent motion, only relative motion. Relativity then becomes a means to translate from the geo-centric 4-D spacetime of physics to the topology of the black-hole.
Forces are replaced by units of momentum, orbits become physical orbitals. Movement between orbitals requires a change in overall momentum, thus we are not held to the earth by a gravitational force but rather by a mass-density bouyancy. Photons as units of momentum are the means of data exchange within the universe.