Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces

Ueda, Kazushige; Higuchi, Atsushi; Yamamoto, Kazuhiro; Rohim, Ar; Nan, Yue

doi:10.1103/physrevd.103.125005

Cited by 11 publications

(4 citation statements)

References 27 publications

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“…The Unruh effect is explained by the fact that the Minkowski vacuum state is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. This is well known for the case of a scalar field and a Dirac field [20][21][22]. In the present paper, we investigate the vacuum structure of gravitational waves in Minkowski spactime, by finding the explicit expression of the solution of the tensor modes in the F, P, R, L regions.…”

Section: Introductionmentioning

confidence: 88%

Gravitational waves in Kasner spacetimes and Rindler wedges in Regge-Wheeler gauge: Unruh effect

Sugiyama,

Yamamoto,

Kobayashi

2020

Preprint

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We derive the solutions of gravitational waves in the future (F) expanding and the past (P) shrinking Kanser spacetimes as well as in the left (L) and right (R) Rindler wedges in the Regge-Wheeler gauge. The solutions for all metric components are obtained in an analytic form in each region. We identify the master variables, which are equivalent to massless scalar fields, to describe the gravitational degrees of freedom for the odd parity and even parity modes under the transformation in the two-dimensional plane symmetric space. Then, the master variables are quantized, and we develop the quantum field theory of the gravitational waves in the F, P, L, and R regions. We demonstrate that the mode functions of the quantized gravitational waves in the left and right Rindler wedges are obtained by an analytic continuation of the left-moving and right-moving wave modes in Kasner spacetime. On the basis of these analyses, we discuss the Unruh effect of quantized gravitational waves for an observer in a uniformly accelerated motion in Minkowski spacetime.

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Section: Introductionmentioning

confidence: 88%

Gravitational waves in Kasner spacetimes and Rindler wedges in Regge-Wheeler gauge: Unruh effect

Sugiyama,

Yamamoto,

Kobayashi

2020

Preprint

Self Cite

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“…We study the Dirac field in Rindler coordinates Ψν (T, X) defined by the Rindler-Dirac equation, which reads (see, for instance, Refs. [4,5,7])…”

Section: Rindler-dirac Modesmentioning

confidence: 99%

“…More recent works considered Dirac fields [4,5]. The result is a fermionic thermal distribution (e βΩ + 1) −1 for Rindler-Dirac particles in the Minkowski vacuum.…”

Section: Introductionmentioning

confidence: 99%

Minkowski vacuum in Rindler spacetime and Unruh thermal state for Dirac fields

Falcone¹,

Conti²

2023

Preprint

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“…Namun, jika dengan konsentrasi yang sama vitamin C memiliki persentase inhibisi yang lebih besar. Hal ini disebabkan karena vitamin C telah terbukti memiliki kemampuan yang poten sebagai antioksidan (penangkap radikal DPPH) (Rudiana et al, 2021).…”

Section: Aktivitas Antioksidanunclassified

Aktivitas antioksidan dan uji sitotoksik infusa daun jarak pagar (Jatropha curcas)

Rahman,

Putri,

Toepak

et al. 2023

SJP

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Antioxidants are crucial in preventing cell damage caused by oxidation from oxidants. The use of antioxidants from natural products such as Jatropha curcas leaves can counteract free radicals due to the presence of secondary metabolites. The main aims of the study were to determine the antioxidant and cytotoxic activity of the infusion of J. curcas leaves. The sample was extracted using the infusion method. A qualitative phytochemical screening was carried out using the test tube method, antioxidant assay using the DPPH method and cytotoxic using the BSLT method. The results showed that the infuse of J. curcas leaves contained secondary metabolites such as polyphenols and tannins, alkaloids, flavonoids, and saponins. In the antioxidant activity test, infuse of J. curcas leaves and vitamin C (control) the IC50 was 58.90±2.34 ppm and 8.78±0.21 ppm respectively. The infused cytotoxic test contained an active toxic compound in shrimp larvae with an LC50 of 200.28 ppm (LC50 ≤ 1000 ppm). Based on the results of the study, infuse of J. curcas leaves showed potential as an antioxidant and anticancer agent with a strong classification.

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Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces

Cited by 11 publications

References 27 publications

Gravitational waves in Kasner spacetimes and Rindler wedges in Regge-Wheeler gauge: Unruh effect

Gravitational waves in Kasner spacetimes and Rindler wedges in Regge-Wheeler gauge: Unruh effect

Minkowski vacuum in Rindler spacetime and Unruh thermal state for Dirac fields

Aktivitas antioksidan dan uji sitotoksik infusa daun jarak pagar (Jatropha curcas)

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