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Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks
High Energy Physics - Phenomenology · Submitted 1 Mar 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Owing to the relative orientation of ${\bf p}$ with respect to $\delta {\bbox \Pi}$, the {\it coupling} $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$ may induce the mechanism to generate the observed pulsar velocities.
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The abstract, sentence by sentence
The breakdown of Lorentz's and CPT invariance, as described by the Extension of the Standard Model, gives rise to a modification of the dispersion relation of particles. Consequences of such a modification are reviewed in the framework of pulsar kicks induced by neutrino oscillations (active-sterile conversion). A peculiar feature of the modified energy-momentum relations is the occurrence of terms of the form $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$, where $\delta {\bbox \Pi}$ accounts for the difference of spatial components of flavor depending coefficients which lead to the departure of the Lorentz symmetry, and ${\bf {\hat p}}={\bf p}/p$, being ${\bf p}$ the neutrino momentum. Owing to the relative orientation of ${\bf p}$ with respect to $\delta {\bbox \Pi}$, the {\it coupling} $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$ may induce the mechanism to generate the observed pulsar velocities. Topics related to the velocity distribution of pulsars are also discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The breakdown of Lorentz's and CPT invariance, as described by the Extension of the Standard Model, gives rise to a modification of the dispersion relation of particles. | background 1.00 | 0.06 | 0.06 | asserted 1.00 |
| s1 | Consequences of such a modification are reviewed in the framework of pulsar kicks induced by neutrino oscillations (active-sterile conversion). | contribution 0.73 | 0.20 | 0.08 | asserted 0.72 |
| s2 | A peculiar feature of the modified energy-momentum relations is the occurrence of terms of the form $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$, where $\delta {\bbox \Pi}$ accounts for the difference of spatial components of flavor depending coefficients which lead to the departure of the Lorentz symmetry, and ${\bf {\hat p}}={\bf p}/p$, being ${\bf p}$ the neutrino momentum. | background 0.46 | 0.21 | 0.09 | asserted 0.99 |
| s3 | Owing to the relative orientation of ${\bf p}$ with respect to $\delta {\bbox \Pi}$, the {\it coupling} $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$ may induce the mechanism to generate the observed pulsar velocities. | interpretation 0.78 | 0.35 | 0.66 | hedged possibility 1.00 |
| s4 | Topics related to the velocity distribution of pulsars are also discussed. | contribution 0.81 | 0.30 | 0.03 | unclear 0.62 |
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The paper
Original abstract
The breakdown of Lorentz's and CPT invariance, as described by the Extension of the Standard Model, gives rise to a modification of the dispersion relation of particles. Consequences of such a modification are reviewed in the framework of pulsar kicks induced by neutrino oscillations (active-sterile conversion). A peculiar feature of the modified energy-momentum relations is the occurrence of terms of the form $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$, where $\delta {\bbox \Pi}$ accounts for the difference of spatial components of flavor depending coefficients which lead to the departure of the Lorentz symmetry, and ${\bf {\hat p}}={\bf p}/p$, being ${\bf p}$ the neutrino momentum. Owing to the relative orientation of ${\bf p}$ with respect to $\delta {\bbox \Pi}$, the {\it coupling} $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$ may induce the mechanism to generate the observed pulsar velocities. Topics related to the velocity distribution of pulsars are also discussed.
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1 arXiv paper cite this in 2 sentences
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This phenomenon can also be explained from the violation of CPT and Lorentz invariance [ref] , neutrino spin flavour oscillation in gravitational fields [ref] and violation of equivalence principle [ref] (see also [ref] ) .
Pulsar kicks in ultralight dark matter background induced by neutrino oscillation · Introduction · 0.88
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