Effective Minkowski-to-Euclidean signature change of the magnon BEC pseudo-Goldstone mode in polar 3He

Nissinen, Jaakko; Volovik, G. E.

doi:10.1134/s0021364017160032

Cited by 17 publications

(9 citation statements)

References 36 publications

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“…in Ref. 15 ). At the Big Bang, the state with Euclidean signature transforms ei-ther to the spacetime or to antispacetime, but not to the quantum superposition of the two Universes.…”

Section: Euclidean Signature Universe and Spontaneously Broken Cmentioning

confidence: 90%

Comment to the CPT-Symmetric Universe: Two Possible Extensions

Volovik

2019

Jetp Lett.

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In Ref. 1 the antispacetime Universe was suggested as the analytic continuation of our Universe across the Big Bang singularity in conformal time. We consider two different scenarios of analytic continuation. In one of them the analytic continuation is extended to the temperature of the system. This extension suggests that if such analytic continuation is valid, then it is possible that the initial stage of the evolution of the Universe on our side of the Big Bang was characterized by the negative temperature. In the second scenario, the analytic continuation is considered in the proper time. In this scenario the Big Bang represents the bifurcation point at which the Z2 symmetry between the spacetime and antispacetime is spontaneously broken.

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“…in Ref. 15 ). At the Big Bang, the state with Euclidean signature transforms ei-ther to the spacetime or to antispacetime, but not to the quantum superposition of the two Universes.…”

Section: Euclidean Signature Universe and Spontaneously Broken Cmentioning

confidence: 90%

Comment to the CPT-Symmetric Universe: Two Possible Extensions

Volovik

2019

Jetp Lett.

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“…√ −g] = [l] −3 [t] −1 . The same is for the effective metric for the propagating Goldstone modes of the coherent spin precession 22 , and actually for any Goldstone mode with linear spectrum. Note that when c and are incorporated into the tetrad fields and thus to the metric, these quantities do not enter explicitly into the diffeomorphism-invariant action 23 .…”

Section: This Gives [mentioning

confidence: 83%

On DIMENSION OF TETRADS IN EﬀECTIVE GRAVITY

Volovik¹

2020

Pis'ma Zh. Eksp. Teor. Fiz.

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Two different sources of emergent gravity lead to the inverse square of length dimension of metric field, [gµν] = 1/[l] 2 , as distinct from the conventional dimensionless metric, [gµν ] = 1, for c = 1. In both scenarios all the physical quantities, which obey diffeomorphism invariance, such as the Newton constant, the scalar curvature, the cosmological constant, particle masses, fermionic and scalar bosonic fields, etc., are dimensionless.PACS numbers:

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“…This corresponds to Euclidean metric in the 4D space (in condensed matter the transition between Minkowski and Euclidean metric for Goldstone modes see in Ref. [ 42 , 43 ]). On the imaginary axis the quantity becomes the inverse temperature in the 4+0 thermodynamics.…”

Section: Extension To Thermodynamicsmentioning

confidence: 99%

Combined Lorentz Symmetry: Lessons from Superfluid $$^3$$He

Volovik

2021

J Low Temp Phys

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We consider the possibility of the scenario in which the P, T and Lorentz symmetry of the relativistic quantum vacuum are all the combined symmetries. These symmetries emerge as a result of the symmetry breaking of the more fundamental P, T and Lorentz symmetries of the original vacuum, which is invariant under separate groups of the coordinate transformations and spin rotations. The condensed matter vacua (ground states) suggest two possible scenarios of the origin of the combined Lorentz symmetry, and both are realized in the superfluid phases of liquid $$^3$$ 3 He: the $$^3$$ 3 He-A scenario and the $$^3$$ 3 He-B scenario. In these scenarios, the gravitational tetrads are considered as the order parameter of the symmetry breaking in the quantum vacuum. The $$^3$$ 3 He-B scenarios applied to the Minkowski vacuum lead to the continuous degeneracy of the Minkowski vacuum with respect to the O(3, 1) spin rotations. The symmetry breaking leads to the corresponding topological objects, which appear due to the nontrivial topology of the manifold of the degenerate Minkowski vacua, such as torsion strings. The fourfold degeneracy of the Minkowski vacuum with respect to discrete P and T symmetries suggests that the Weyl fermions are described by four different tetrad fields: the tetrad for the left-handed fermions, the tetrad for the right-handed fermions, and the tetrads for their antiparticles. This may lead to the gravity with several metric fields, so that the parity violation may lead to the breaking of equivalence principle. Finally, we considered the application of the gravitational tetrads for the solution of the cosmological constant problem.

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Effective Minkowski-to-Euclidean signature change of the magnon BEC pseudo-Goldstone mode in polar 3He

Cited by 17 publications

References 36 publications

Comment to the CPT-Symmetric Universe: Two Possible Extensions

Comment to the CPT-Symmetric Universe: Two Possible Extensions

On DIMENSION OF TETRADS IN EﬀECTIVE GRAVITY

Combined Lorentz Symmetry: Lessons from Superfluid $$^3$$He

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