Even Forbes is covering this like crazy now.
Nothing like a physics revolution to bring out the crazies and the reporters.
With only the hint of a CERN LHC 750 GeV ‘thing’, presumably a particle, one can now begin to speculate on the knowns, the unknowns, the known unknowns and the unknown unknowns, and although I’m not sure how far the latter will get you, presumably it will get you to M-Theory and Monoidal Categories and such. So since I am a smart crackpot having spent two whole months looking at this (what an astronomical waste of time), I’m now in a position to make uninformed and unfounded comments. First of all the HR-LHC upgrades and the Chinese Monster collider will be able to stretch the energy reach up to 100 TeV or more, so more definitive answers will be forthcoming, probably as early as this summer. So until then I am calling it a pseudoparticle.
Topology in condensed matter physics is real, however. We are now in possession of a vast mathematical machinery in which to accommodate its study. Our ability to engineer topological electronic and magnetic circuits on and within two dimensional layers of topological insulators, crystalline insulators, topological and ordinary superconductors and trivial electronic and spin systems is current – we can do this right now. We can engineer these circuits into geometric and topological dimensional structures, immerse them into superfluid liquid helium at single digit or less Kelvin temperatures and then subject them to a wide variety of gravity gradients through electromagnetically induced torques, jerks, accelerations and rotations. With combinations of magnetic adatoms and engineered layers of p and s wave superconductors in topological insulating systems, we can now simulate the axion fields and (quasi) particles and the Higgs mechanism in Dirac, Weyl and Majorana environments, where the (pseudo) particles can be either localized or relativistic and presumably anywhere in between, involving enormous mass and energy renormalization scales. And presumably with strong coupling, quantum critical points and varying density, etc., we can fractionalize the charge and spin through topological Chern-Simons physics and axion Higgs dynamics. In short, this is indeed a revolution in modern physics. I call this concept ‘topogravitoelectromagnetism’, when it is applied to general relativity.
And all without a 750 GeV high energy resonance.
Even at this astronomically high energy, the entire mass energy particle spectrum and energy scale has been vastly renormalized down from the Planck scale. This is the hierarchy problem and the naturalness problem. The knowns are quantum field theory, the standard model and general relativity. The unknowns are dark matter, dark energy, the axions, the newly discovered Higgs and the graviton, if a verifiable theory of quantum gravity were to exist. We don’t know.
Duality and all that.
For inflation one can talk about instantons, curvatons, inflatons, dilatons, etc., and just about any other concept that one may care to speculate on, up to the Planck scale, but I posit that given the vast renormalization of the Higgs mass down to 125 GeV, one might expect that any putative graviton would be dragged down with it, since spacetime is now essentially flat on the large scale and the dilute energy and particles now within it are only mildly affecting its curvature, that is, gravity is fantastically weak (contrary to my daily observations). Since spacetime is basically flat now, presumably it wasn’t as it departed the Planck scale and inflated, and so therefore it might be reasonable to speak in terms of the quantized curvature of spacetime at that scale. In other words, the topology of spacetime. So assuming that the mass energy renormalization and space time deconstruction and flattening out of the universe occurred simultaneously, and it is obviously still occurring, although on a much slower scale now, then presumably the axion dark matter bosons, the Higgs bosons and the graviton bosons were all produced by these events. And presumably also the creation, destruction, excitations, interactions and interrelationships between these entities (particles) can now be simulated in the laboratory in a topological and gravitoelectromagnetic manner. This is crucial for any viable developing and experimentally verifiable theory of quantum gravity, and thus by default any emerging quantum cosmology.
A light bosonic axion may mass hundreds of thousands of times less than the energy of a photon or even a neutrino, just as the rest mass of an electron is hundreds of thousands of times larger, and a Higgs boson is roughly that much more massive again. These energies are dwarfed by Planck scale parameters. If the resulting universe is a result of the deconstruction of spacetime topology and that process can be simulated and observed in the laboratory, then a clear path towards a quantum theory of gravity presents itself – topogravitoelectromagnetism.
This path has already produced shockingly diverse exploitable new condensed matter physics.
There is really no question that this process will continue unabated.
Thank you for your time. I rest my case.
Update: To further describe the extreme energy mass particle renormalization of Planck scale physics down to the Higgs scale and far below that to absolute zero, including the weakness of gravity and global flatness of space, consider how easy it is for just a small amount of matter and energy in the universe to utterly break spacetime with a black hole. Breaking spacetime is not that far off in terms of mass and energy. We need to be very careful with this if the coupling of axions to the Higgs scale is capable of bending spacetime in topogravitoelectromagnetism.
It doesn’t take Planck scale energy to get to Planck scale physics. Gravity alone gets you there.
So much for the weakness of gravity. I have to lie down now.
Update 2: This is certainly worth another essay but as I stated earlier I have no idea how to write something like this up, and the previous two essays were difficult enough.
There is a LOT of difficult math here.
So please consider this my essay until I get the time to figure this out and write it all down, and you can just cite this blog post as my ‘publication’. Thanks in advance.
Update 3: Oh screw it. This BLOG is my publication. It’s the 21st Century!
Update 4: And here it is!
Dynamic trapping near a quantum critical point, Michael Kolodrubetz, Emanuel Katz and Anatoli Polkovnikov, Phys. Rev. B 91, 054306 (26 February 2015), DOI:10.1103/PhysRevB.91.054306
The study of dynamics in closed quantum systems has recently been revitalized by the emergence of experimental systems that are well-isolated from their environment. In this paper, we consider the closed-system dynamics of an archetypal model: spins near a second order quantum critical point, which are traditionally described by the Kibble-Zurek mechanism. Imbuing the driving field with Newtonian dynamics, we find that the full closed system exhibits a robust new phenomenon — dynamic critical trapping — in which the system is self-trapped near the critical point due to efficient absorption of field kinetic energy by heating the quantum spins. We quantify limits in which this phenomenon can be observed and generalize these results by developing a Kibble-Zurek scaling theory that incorporates the dynamic field. Our findings can potentially be interesting in the context of early universe physics, where the role of the driving field is played by the inflaton or a modulus.
That was easy. That didn’t take long at all.
Two and a half months in.
Update 5: https://en.wikipedia.org/wiki/Kibble-Zurek_mechanism
The Kibble-Zurek Mechanism. Some great stuff in the references in there.
With Callan-Harvey inflow you should be all set with this.