Dear Peter,
Thanks for the comments on my blog site!
I also like falsifiability. Chapters 4 and 6 of my book tie into experimental data, and are falsifiable. The obvious problem is that most everything that I have done since is so speculative that it isn't yet obvious to me if it is or isn't falsifiable (although the lattices that I use are fundamental to Solid State Physics). I like the fact that some of my ideas may tie into Coldea et al's magnetic quasiparticle mass-ratio experimental results. I also like Vladimir Tamari's ideas that may tie into Gingras' magnetic spin ice quasiparticle experimental results.
Do you have an infinite number of buses and bus stops with an infinite number of discrete reference frames, or am I way off-base?
I use stacks of cannonballs as analogies for fermions because it is easier to describe than an FCC lattice. I think that the bosons are the reciprocal lattice and behave like "struts" between centers of cannonballs in our 3-D space.
Yes - I am aware of the "slingshot" method for speeding up space probes. My van would probably fall apart...
I also like tokamaks. I worked on the TEXT tokamak at the University of Texas, Austin in 1981-82.
I have wild ideas that might unite several of our ideas (you, me, Crowell, Gibbs, Lisi, Castel, Sreenath, Tamari, Leshan, Duforney, perhaps Lowey and Klingman). It goes something like this:
A static Black Hole does not collapse on its singularity because a buckyball-shaped lattice of spacetime (or quantum gravity) prevents said collapse. In the case of a rotating Black Hole (most stars rotate so most Black Holes should as well), torsion effects cause a pair of nested buckyball lattices to morph into their homotopic cousin, a lattice-like torus in a rotating (rotation = time along Steve Duforney's ideas?) and apparently 3-D space with 120 lattice sites. Each of these 120 sites, contains one of Vladimir Tamari's tetrahedra (which may also be related to Gingras and Section 7.2 of my book) which are also rotating (another time dimension?) in an (another set of spatial dimensions?) apparently 3-D space. Along the lines of my ideas (and Laurent Nottale's), these different 3-D shapes - torus and tetrahedra - may exist at different spatial scales (I suspect that the tetrahedra are much smaller than the torus) with different time scales (different rates of rotation for torus and tetrahedra). In this case, the Black Hole "singularity" is at the center of the donut hole, and is either empty (like one of Constantin Leshan's quantum spacetime holes) or permanently confined - we will never know.
Carbon-60 buckyballs have superconductor properties that expel electric fields. Wouldn't it be cool if these spacetime (or quantum gravity) lattices (buckyball or lattice-like torus) had properties that allowed them to expel gravitational fields? And wouldn't this be close to some of Klingman's GEM-like ideas?
This model contains 120x4=480 degrees-of-freedom plus basis vectors (at least 8? two 3-d spaces and 2 times?). This looks a lot like an E8xE8* ~ SO(32) where one E8 is strictly real, and the other E8* is stricly imaginary (Theoretically, the TOE needs complex representations whether we like it or not as this may be the most appropriate way to include CP symmetry violation - recall that tachyons have imaginary mass). We require imaginary numbers for the mathematical modeling to be complete, however we also admit that we might not be able to observe this part of "reality" (although we may use the Kramers-Kronig Relation for some implications), and therefore anticipate that any observer should be able to measure half (at most) of the dynamic variables present in any given experiment.
One of these E8's is a corrected version of Garrett Lisi's E8 TOE (he never should have had bosons and fermions in the same lattice representation - they should be in reciprocal lattices to one another). If we break these E8's into H4's (such that E8~H4xH4*), then we may have an H4xH4* representation that is similar to Edwin Klingman's 4 particles and 4 fields - I don't think that Ed is necessarily wrong - I think that his model might use the same triality symmetry for color and generations, and is not complete.
Each point in the toroidal lattice is the end of a string (that should be rotating in response to the tetrahedra). Within the Black Hole, these strings expand outwards as Sreenath's logarithmic spirals until the scale is "diluted" enough that we have a reasonably flat, continuously-differentiable spacetime outside of the Event Horizon.
If these strings also rotate (as implied above), and have the dimensional (probably extra-dimensional because it has different scales for gravity and electromagnetism?) equivalent of "screw-threads", then the strings may behave like Alan Lowey's Archimedes' Screw idea to transfer force along the direction of the string (now an infinitely-thin "flexible screw").
Please wrap your brain around that and let me know what you think?
Have Fun!
Dr. Cosmic Ray