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How Graphene explains the ecological crisis abrupt global warming via noncommutativity 5D negentropy
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Thermodynamics of the climate system
Martin S. Singh and Morgan E O’Neill
Citation: Physics Today 75, 7, 30 (2022);
Exact master equation for a noncommutative Brownian particle
In this work, we have also analyzed the dynamics
of the model of a free particle over a 2-sphere in a NC phase-space.
As an application, we have treated the so-called Zitterbewegung of the Dirac electron. Since it is assumed to be an observable effect, then we have traced its physical origin by assuming that the electron has an internal structure.
Spectral noncommutative geometry and quantization: a simple example
Through these constructions the positions and the momenta of the phase spaces do not commute due to the presence of a magnetic field and a dual magnetic field.
Noncommutative Phase Spaces
by Coadjoint Orbits Method
The ultraviolet catastrophe of usual space-time does not arise as long as the noncommutativity scale, or more precisely ̃p, is kept non-zero. This is yet another manifestation of the UV/IR mixing of non-commutative field theories
Sarrazin, M., & Petit, F. (2014). Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model. The European Physical Journal B, 87(1). doi:10.1140/epjb/e2013-40492-5
Equivalence between domain walls and “noncommutative” two-sheeted spacetimes: Model-independent matter swapping between branes
Exciton swapping in a twisted graphene bilayer as a solid-state
realization of a two-brane model
Quantum dynamics of massive particles in a non-commutative
two-sheeted space–time
Usually, it is assumed that usual matter and matter from the hidden world cannot interact through ordinary interactions except gravitation. As a consequence, hidden matter made of hidden atoms
could exist with exactly the same internal properties as ordinary matter but would be completely undetectable for us through electromagnetic means.
In recent years however, Foot and Volkas have suggested to extend the original idea to allow a possible coupling of matter and mirror matter at the quantum level. This coupling involves some specific kind of interactions including for instance photon–mirror-photon kinetic mixing [2] and also neutrino–mirror-neutrino mass mixing [3]. These authors conclude that even if those interactions are tiny, the experimental
consequences could be dramatic. Several possible astrophysical, cosmological and physical implications of mirror matter are extensively reviewed in [2,4].
In several aspects, the two-sheeted space–time represents a discretized version of Kaluza–Klein theory in which, the fifth compact circular
dimension is replaced by discrete points. This theory also presents some specific advantages like for instance a possible explanation of the huge difference between the electroweak and the Planck scales.
In the present Letter, the NCG developed by Connes will be used to extend further the idea of a hidden sector
embedded in a 5D bulk. Our study focuses on the dynamics of a massive particle in a two-sheeted space–time
using relevant extensions of the Dirac and Pauli equations. The results of this model differ from previous works of literature essentially by the way of the particle mass is introduced into the model. It is shown that this approach leads to several interesting phenomena that could have strong observational consequences. The most noticeable ones concern two-sheeted oscillations of massive fermions in presence of an electromagnetic vector potential and a possible increase of the electric charge with the particle velocity....
Several models in brane theories, predict that massive particles are able to leave the brane and propagate freely
in the 5D bulk. However, it is usually assumed that only highly energetic particles can travel that way. Contrarily,
in our approach, a low energy particle can move in the 5D bulk as well by doing oscillations between both space–
time sheets. Still should we explain how locality and energy conservation could be satisfied in such circumstances.
Indeed, from the point of view of a “one-sheeted” observer, as we are, the behavior of such a particle would be in conflict with every known physical principles, the most noticeable ones being locality and energy conservation....So, for an hypothetical observer, able to see both sheets
simultaneously, the particle never disappears from the 5D bulk and the apparent energy violation problem in 4D is only an artifact of low dimensionality."
Martin S. Singh and Morgan E O’Neill
Citation: Physics Today 75, 7, 30 (2022);
Exact master equation for a noncommutative Brownian particle
In this work, we have also analyzed the dynamics
of the model of a free particle over a 2-sphere in a NC phase-space.
As an application, we have treated the so-called Zitterbewegung of the Dirac electron. Since it is assumed to be an observable effect, then we have traced its physical origin by assuming that the electron has an internal structure.
Spectral noncommutative geometry and quantization: a simple example
Through these constructions the positions and the momenta of the phase spaces do not commute due to the presence of a magnetic field and a dual magnetic field.
Noncommutative Phase Spaces
by Coadjoint Orbits Method
The ultraviolet catastrophe of usual space-time does not arise as long as the noncommutativity scale, or more precisely ̃p, is kept non-zero. This is yet another manifestation of the UV/IR mixing of non-commutative field theories
Sarrazin, M., & Petit, F. (2014). Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model. The European Physical Journal B, 87(1). doi:10.1140/epjb/e2013-40492-5
Equivalence between domain walls and “noncommutative” two-sheeted spacetimes: Model-independent matter swapping between branes
Exciton swapping in a twisted graphene bilayer as a solid-state
realization of a two-brane model
Quantum dynamics of massive particles in a non-commutative
two-sheeted space–time
Usually, it is assumed that usual matter and matter from the hidden world cannot interact through ordinary interactions except gravitation. As a consequence, hidden matter made of hidden atoms
could exist with exactly the same internal properties as ordinary matter but would be completely undetectable for us through electromagnetic means.
In recent years however, Foot and Volkas have suggested to extend the original idea to allow a possible coupling of matter and mirror matter at the quantum level. This coupling involves some specific kind of interactions including for instance photon–mirror-photon kinetic mixing [2] and also neutrino–mirror-neutrino mass mixing [3]. These authors conclude that even if those interactions are tiny, the experimental
consequences could be dramatic. Several possible astrophysical, cosmological and physical implications of mirror matter are extensively reviewed in [2,4].
In several aspects, the two-sheeted space–time represents a discretized version of Kaluza–Klein theory in which, the fifth compact circular
dimension is replaced by discrete points. This theory also presents some specific advantages like for instance a possible explanation of the huge difference between the electroweak and the Planck scales.
In the present Letter, the NCG developed by Connes will be used to extend further the idea of a hidden sector
embedded in a 5D bulk. Our study focuses on the dynamics of a massive particle in a two-sheeted space–time
using relevant extensions of the Dirac and Pauli equations. The results of this model differ from previous works of literature essentially by the way of the particle mass is introduced into the model. It is shown that this approach leads to several interesting phenomena that could have strong observational consequences. The most noticeable ones concern two-sheeted oscillations of massive fermions in presence of an electromagnetic vector potential and a possible increase of the electric charge with the particle velocity....
Several models in brane theories, predict that massive particles are able to leave the brane and propagate freely
in the 5D bulk. However, it is usually assumed that only highly energetic particles can travel that way. Contrarily,
in our approach, a low energy particle can move in the 5D bulk as well by doing oscillations between both space–
time sheets. Still should we explain how locality and energy conservation could be satisfied in such circumstances.
Indeed, from the point of view of a “one-sheeted” observer, as we are, the behavior of such a particle would be in conflict with every known physical principles, the most noticeable ones being locality and energy conservation....So, for an hypothetical observer, able to see both sheets
simultaneously, the particle never disappears from the 5D bulk and the apparent energy violation problem in 4D is only an artifact of low dimensionality."
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