“Listening to the Logos rather than to me, it is wise to agree that all things are in reality one thing and one thing only”
note: update pending Sept 2017 (physics page) –Heraclitus (Greek philosopher 500BC)
The Physics of Plato's Cave
I have used the ebook to introduce the concepts behind the physics with the understanding that most readers are non-technical. For those who are familiar with physics, the complete formulas are listed on the website planckmomentum.com, for those with a technical background I have summarized the key formulas here as a ppt presentation instead of using a journal article format.
1. This theory could be described as a Planck-unit Mathematical Universe Hypothesis where the Planck units, aka the fundamental dimensions of mass, space, time, charge, temperature are geometrical forms. It is the geometry of the physical constant which confers the function of that constant, the dimensioned unit becoming a mathematical rather than a physical construct. I use these geometries to solve 6 main dimensioned constants (G, h, c, e, me, kB) and 5 SI units (kg, m, s, A, K). It is the precision of the results from which derives the credibility of this model.
2. The universe topology is expressed as a dimensionless 4 axis hyper-sphere black-hole expanding in integer incremental steps, giving the universe clock rate (a time reference). As this expansion is a constant, this hyper-sphere is a Newtonian absolute background upon which a Mach's principle relativistic 3-D space (the particle universe) is projected.
As the sum universe is dimensionless (the dimensions of mass, space, time and charge cancel), and as the universe is neutral; matter + antimatter = zero, sum energy = zero and as it can be structured using only the 2 dimensionless constants; the fine structure constant alpha and an Omega, it resembles by definition both Tegmark's Mathematical Universe and a Virtual (Simulated) Universe.
3. Forces are replaced with physical links, orbitals are units of momentum resembling photons, they are the source of orbit momentum and they are the orbit path. There is no empty space within the atom, electrons do not jump between atomic orbitals, rather the orbitals themselves are exchanged. This orbital model resembles the de Broglie-Bohm pilot wave model.
In the article "Surprises in numerical expressions of physical constants", Amir et al write ... In science, as in life, `surprises' can be adequately appreciated only in the presence of a null model, what we expect a priori. In physics, theories sometimes express the values of dimensionless physical constants as combinations of mathematical constants like pi or e. The inverse problem also arises, whereby the measured value of a physical constant admits a 'surprisingly' simple approximation in terms of well-known mathematical constants. Can we estimate the probability for this to be a mere coincidence? (Ariel Amir, Mikhail Lemeshko, Tadashi Tokieda; Surprises in numerical expressions of physical constants; arXiv:1603.00299 [physics.pop-ph]).
The reader must debate; do the formulas presented in this model pass the Amir test?
For the complete mathematics of this model go to planckmomentum.com (link below)