On the principle of holographic scaling :from college physics to black hole thermodynamics /

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"Version: 20190501"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. The four forces and the geometric Universe -- 1.2. QFT + GR -- 1.3. Cosmological evolution -- 1.4. Black holes and holographic scaling2. ADM mass and holographic scaling in general physics -- 2.1. Vector notation and coordinates -- 2.2. Vectorized area -- 2.3. Gaussian surfaces -- 2.4. Mass in college physics -- 2.5. The gravielectric duality -- 2.6. Mass in university physics -- 2.7. On black holes in college/university physics -- 2.8. Schwarzschild black hole -- 2.9. Rotating/Kerr black hole -- 2.10. Effective Newtonian black hole potentials and ADM mass3. N?other's theorem : E&M and gravity -- 3.1. N?other's theorem : E&M -- 3.2. N?other's theorem : Newtonian gravity -- 3.3. N?other's theorem and gravity : the metric tensor4. Tensor calculus on manifolds -- 4.1. Index notation -- 4.2. Some point set topology and manifolds -- 4.3. Vectors, tensors and fields -- 4.4. The Lie derivative -- 4.5. Exterior algebra -- 4.6. Exterior derivative -- 4.7. Orientation -- 4.8. Stokes' theorem -- 4.9. Riemannian mainfolds -- 4.10. Covariant differentiation -- 4.11. Geodesic equation -- 4.12. Curvature5. Lagrangian field theory -- 5.1. E&M -- 5.2. Energy momentum tensor -- 5.3. General relativity6. Black hole thermodynamics and holographic scaling -- 6.1. Black holes -- 6.2. Killing vectors and horizons -- 6.3. Surface element for null generators -- 6.4. The laws of black hole mechanics -- 6.5. Black hole thermodynamics -- 6.6. 2D holographic representations of 4D black holes -- 6.7. On ADM mass in general relativity -- 6.8. 4D ADM mass and holographic gcs -- 6.9. Holographic black hole thermodynamics -- 6.10. Concluding remarks -- Appendices. A. Gravitational gauge transformation as a change in coordinates -- B. Basic group theory.Holographic dualities are at the forefront of contemporary physics research, peering into the fundamental nature of our universe and providing best attempt answers to humankind's bold questions about basic physical phenomena. Yet, the concepts, ideas and mathematical rigors associated with these dualities have long been reserved for the specific field researchers and experts. This book shatters this long held paradigm by bringing several aspects of holography research into the class room, starting at the college physics level and moving up from there.Undergraduate students.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Leo Rodriguez received his PhD in physics from the University of Iowa in 2011, after which he served as an HHMI postdoctoral research fellow at Grinnell College and held subsequent faculty positions at Grinnell College and Assumption College. Leo rejoined the physics faculty at Grinnell College in the fall of 2018. Leo's research interests focus on the thermodynamic properties of black holes, how they relate to quantum gravity and how they are encoded in dual conformal field theories. Shanshan Rodriguez received her PhD in physics from the University of Iowa in 2010. She subsequently joined NASA's Goddard Space Flight Center as a research engineer where she worked at the Detector System Branch till 2004, followed by a faculty position at Worcester Polytechnic Institute. Shanshan's research interests focus on numerical techniques and the implementation/optimization of computational tools in theoretical astrophysics. Shanshan joined the physics faculty at Grinnell College in 2018 and has spent much time teaching physics and developing undergraduate courses/labs in astrophysics.Title from PDF title page (viewed on June 5, 2019).

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781643274768

Classification

530.11

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-

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-

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Subject(s)

Mathematical physics.
Astrophysics.
SCIENCE / Physics / Astrophysics.
General relativity (Physics)
Gravitation.
Holography.

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Leo Rodriguez and Shanshan Rodriguez.

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