So he says the strongest gravitational field is found in the smallest scale, the tiniest black holes. And yet a time-like moebius strip is also how the zitterbewegung is described.
“A time-like Möbius strip….Virtual black holes must be every where in space and time.”Nobel physicist Gerard ’t Hooft, Feb. 2017
Quantum Black Holes, Firewalls and the Topology of Space-Time pdf
As the black hole gets smaller, the temperature increases.
A black hole is matter transformed back into energy, as Hawking Radiation. It's not eternal.
Hmm - my understanding is that the gravitational force does not allow an electron to become a black hole. So the "elementary" must be very small - Zitterbewegung?
Comments on the Paper" On the Unification of the Fundamental Forces"
https://arxiv.org/pdf/physics/0003022by BG Sidharth - 2000 - Cited by 5 - Related articlesCompton wavelength scale we have purely Quantum Mechanical effects like. Zitterbewegung, spin half and electromagnetism, while at the Planck scale, we have a purely classical Schwarschild Black Hole. However the Planck scale is the extreme limit of the Compton scale, where electromagnetism and gravitation meet ...18 Apr 2017 Effect of Noncommutativity of Space-time on ... - arXiv
https://arxiv.org/pdf/1611.03324by R Verma - 2016 - Related articlesApr 18, 2017 - of the relativity by incorporating the Planck length/Planck energy as a new constant of nature, apart from the speed of light as it is done in the doubly special theory of relativity(DSR). In this paper, we investigate how does the well known Zitterbewegung phenomenon[6, 7, 8] get affected in these scenar- ios.
Quantum Black Holes as the Link Between Microphysics and Macrophysics
There appears to be a duality between elementary particles, which span the mass range below the Planck scale, and black holes, which span the mass range range above it. In particular, the Black Hole Uncertainty Principle Correspondence posits a smooth transition between the Compton and Schwarzschild scales as a function of mass. This suggests that all black holes are in some sense quantum, that elementary particles can be interpreted as sub-Planckian black holes, and that there is a subtle connection between quantum and classical physics.
The de Broglie Zitterbewegung as a quantum black hole?Zitterbewegung, as it was originally described by Schrödinger, is an unphysical, non-observable effect. We verify whether the effect can be observed in non-inertial reference frames/curved spacetimes, where the ambiguity in defining particle states results in a mixing of positive and negative frequency modes. We explicitly demonstrate that such a mixing is in fact necessary to obtain the correct classical value for a particle's velocity in a uniformly accelerated reference frame, whereas in cosmological spacetime a particle does indeed exhibit Zitterbewegung.
Well-known examples are reference frames related to stationary observers in black hole spacetimes and uniformly accelerating (Rindler) observers in flat Minkowski spacetime. Such observers perceive the Minkowski vacuum state as being a thermal radiation coming from the event horizon [5] ; [6], which is due to the non-trivial mixing of positive and negative frequency modes of quantised fields. Similar mixing and the related particle production occurs in time-dependent (cosmological) spacetimes [7]. We demonstrate that precisely this mixing of negative and positive frequency modes causes Zitterbewegung of a Dirac fermion in cosmological spacetime, whereas in Rindler spacetime it leads to a one-particle expectation value for velocity which exactly reproduces its classical counterpart.And so there are several papers stating that the Zitterbewegung should be viewed as the Hawking Radiation of black holes.
Zitterbewegung has historical connections to the subquantal interpretations and Louis de Broglie's "French school" of quantum mechanics....So while the gravitational field component may be small the field effect due to noncommutative coordinates may be appreciable. For this reason the zitterbewegung motion can be tied to spacetime without a mini-black hole source for the field.
The wave function of the massless particle oscillates back and forth as if in a potential well....The gauge-like field induces the fermionic spin to the massless field, so the electron observed is a quasi-particle, similar to spin density fields....The relativistic quantum field theoretic perspective on zitterbewegung suggests that the motion is connected with the virtual production of particles in the vacuum state....The particle then really has no proper time, but emerges from this interaction with noncommutative geometry.
Lawrence B. Crowell, Time Paradox, Zitterbewegung and Noncommutative Geometry, 2010, Prespacetime JournalIn the fermion's rest frame, the period of oscillations between the two eigenstates of chirality precisely equals....Hestenes contended that the 'chirality' interpretation of Zitterbewegung is more natural, as the origin of the effect resides in the geometry of spacetime....This perspective suggests that contrary to the common belief, causal structure need not breakdown at the Planck scale, but the very notion of spacetime geometry needs to be refined.
The noncommutative geometry of the Zitterbewegung, 2017, Michal Eckstein, Nicolas Franco and Tomasz Miller
Huping Hu ∗ & Maoxin Wu, 2007
Spin-Mediated Consciousness: Theory, Experimental Studies, Further Development & Related Topics (PDF Download Available). Available from: https://www.researchgate.net/publication/2188613_Spin-Mediated_Consciousness_Theory_Experimental_Studies_Further_Development_Related_Topics
http://ecoechoinvasives.blogspot.com/2017/11/capturing-virtual-photons-and-secrets.html covers earlier research I did on de Broglie Zitterbewegung and subquantum black holes and the ether - noncommutative phase of relativistic quantum.
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