Major

Physics

Anticipated Graduation Year

2020

Access Type

Open Access

Abstract

In an undertaking to understand the phenomena of the information paradox, we begin by takinga pedagogical approach to describing electromagnetism in general relativity and inspecting themembrane paradigm. After deriving Maxwell’s equations in GR we can see what happens whendropping a charge towards a black hole and seeing how the properties of the membrane change,both from the frame of the free falling charge (FREFOS) as well as a fiducial observer (FIDOS)some distance from the horizon. The dichotomy of the membrane’s properties and how informationis dissipated [1] as seen by the FREFOS and FIDOS brings us to the heart of the informationparadox. This presentation gives an introduction to these concepts, aimed towards undergraduatephysics students studying electricity and magnetism, and gives some insight – not only to how theelectric field acts differently in curved spacetime – but also to some beautiful, higher-level physics.

Faculty Mentors & Instructors

Walter Tangarife

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

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A Pedagogical Approach to General Relativity and the Membrane Paradigm

In an undertaking to understand the phenomena of the information paradox, we begin by takinga pedagogical approach to describing electromagnetism in general relativity and inspecting themembrane paradigm. After deriving Maxwell’s equations in GR we can see what happens whendropping a charge towards a black hole and seeing how the properties of the membrane change,both from the frame of the free falling charge (FREFOS) as well as a fiducial observer (FIDOS)some distance from the horizon. The dichotomy of the membrane’s properties and how informationis dissipated [1] as seen by the FREFOS and FIDOS brings us to the heart of the informationparadox. This presentation gives an introduction to these concepts, aimed towards undergraduatephysics students studying electricity and magnetism, and gives some insight – not only to how theelectric field acts differently in curved spacetime – but also to some beautiful, higher-level physics.