20170234 Park Gunsu 20170368 An Daehyun 20180182 Kim Haram Unruh Effect 20170234 Park Gunsu 20170368 An Daehyun 20180182 Kim Haram

Intro INERTIAL REFERENCE FRAME! 𝑑 𝜏 2 =𝑑 𝑡 2 − 𝐻 −2 cosh 2 𝐻𝑡 (𝑑 𝜉 2 + sin 2 𝜉 𝑑 Ω 2 ) 𝑑 𝜏 2 =𝑑 𝑡 2 − exp 2𝐻𝑡 (𝑑 𝑟 2 + 𝑟 2 𝑑 Ω 2 ) 𝑑 𝜏 2 =𝑑 𝑡 2 − 𝐻 −2 sinh 2 𝐻𝑡 (𝑑 𝜉 2 + sinh 2 𝜉 𝑑 Ω 2 ) 𝑑 𝜏 2 = 1− 𝐻 2 𝑡 2 𝑑 𝑡 2 − 𝑑 𝑟 2 1− 𝐻 2 𝑡 2 − 𝑟 2 𝑑 Ω 2 INERTIAL REFERENCE FRAME! Reference : Lecture note of PH471-Relativity-De Sitter space

Ordinary Minkowski Space 𝑑 𝜏 2 =𝑑 𝑡 2 −(𝑑 𝑥 2 +𝑑 𝑦 2 +𝑑 𝑧 2 ) http://www.wikiwand.com/en/Minkowski_space Reference : http://www.timeone.ca/an-amazing-birthday-present-a-universe-that-allows-time-travel-and-helps-us-understand-our-existence/

Constantly Accelerating Object Reference : https://www.researchgate.net/publication/45907851_On_the_Origin_of_Entropic_Gravity_and_Inertia

Rindler Space 𝑥=𝜌 cosh 𝜎 𝑡=𝜌 sinℎ⁡(𝜎) 𝑑 𝜏 2 = 𝜌 2 𝑑 𝜎 2 −d 𝜌 2 World line of constantly accelerating object : 𝜌 = 1/𝑎 𝜎 = 𝑎𝜏 where 𝜏 is observer's proper time   Reference: https://mathematica.stackexchange.com/questions/22260

Rindler Horizon Reference : https://academickids.com/encyclopedia/index.php/Event_horizon

Rindler Horizon Inertia from an asymmetric Casim ir effect Reference : Inertia from an Asymmetric Casimir Effect(M.E. McCulloch,2013)

Hawking Radiation Press Release: Violent Acceleration and the Event Horizon https://home.slac.stanford.edu/pressreleases/2000/20000606.htm Reference : Press Release: Violent Acceleration and the Event Horizon(Dr. Pisin Chen ,2000)

Warm Vacuum Expectation value of number operator of vacuum <𝑁> = 2𝜋 𝑒 2𝜋𝜔/𝑎 −1 𝛿(0) Similar form with Planck distribution 1 𝑒 ℏ𝜔 𝑘 𝐵 𝑇 −1 From this analogy, Unruh temperature becomes 𝑇= ℏ𝑎 2𝜋𝑐 𝑘 𝐵

Decay of Accelerating Particle Reference : Decay of accelerated particles(Rainer Müller,1997)

Experiment to Test Unruh Effect Reference : https://www.sciencemag.org/news/2017/04/does-space-heat-when-you-accelerate-physicists-propose-test-controversial-idea