viernes, 20 de noviembre de 2015

Cubo de las Teorias Físicas (cGh Physics)





https://en.wikipedia.org/wiki/CGh_physics

cGh physics

cGh physics refers to the mainstream attempts in physics to unify relativity, gravitation and quantum mechanics, in particular following the ideas of Matvei Petrovich Bronstein and George Gamow. The letters are the standard symbols for the speed of light (c), the gravitational constant (G), and Planck's constant (h).
If one considers these three universal constants as the basis for a 3-D coordinate system and one envisions a cube, then this pedagogical construction provides a framework referred to as the "cGh cube" or "physics cube". This cube can used for organizing major subjects within physics as occupying each of the eight corners.
The eight corners of the cGh physics cube are:
 Other cGh subjects include Planck units, Hawking radiation and black hole thermodynamics.While there are several other physical constants, these three are given special consideration, because they can be used to define all Planck units and thus all physical quantities. The three constants are therefore used sometimes as a framework for philosophical study and as one of pedagogical patterns.

 
Diagram showing where quantum gravity sits in the a near-cube hierarchy of physics theories. Note that electromagnetism and quantum field theory in curved spacetime are added in as an extra and distinct items.

In popular culture



Matvei Petrovich Bronstein - Wikipedia, the free encyclopedia

Matvei Petrovich Bronstein (Russian: Матвей Петрович Бронштейн, December 2 [O.S. November 19] 1906, Vinnytsia — February 18, 1938) was a Soviet theoretical physicist, a pioneer of quantum gravity, author of works in astrophysics, semiconductors, quantum electrodynamics and cosmology, as well as of a number of books in popular science for children.
He introduced the cGh scheme for classifying physical theories. "After the relativistic quantum theory is created, the task will be to develop the next part of our scheme, that is to unify quantum theory (with its constant h), special relativity (with constant c), and the theory of gravitation (with its G) into a single theory."



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The Physics Cube, C.J. Wainwright
Maths and Physics > The Physics Cube
The universe is goverened by three fundamental constants: The speed of light, c, Planck's constant, h, and Newton's gravitational constant, G. Advances in theoretical physics can be seen as a journey around a cube representing which of these constants we choose to include in our theories and which we choose to ignore. The ultimate goal is to include all three constants consistently in a theory of quantum gravity. 



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  Duff, Michael; Lev B. Okun; Gabriele Veneziano (2002). "Trialogue on the number of fundamental constants". Journal of High Energy Physics (3). arXiv:physics/0110060. Bibcode:2002JHEP...03..023D. doi:10.1088/1126-6708/2002/03/023.

 Trialogue on the number of fundamental constants

This paper consists of three separate articles on the number of fundamental dimensionful constants in physics. We started our debate in summer 1992 on the terrace of the famous CERN cafeteria. In the summer of 2001 we returned to the subject to find that our views still diverged and decided to explain our current positions. LBO develops the traditional approach with three constants, GV argues in favor of at most two (within superstring theory), while MJD advocates zero.
Comments: Version appearing in JHEP; 31 pages latex
Subjects: Classical Physics (physics.class-ph); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); General Physics (physics.gen-ph)
Journal reference: JHEP 0203 (2002) 023
DOI: 10.1088/1126-6708/2002/03/023
Report number: MCTP-01-45, CERN-TH/2001-277
Cite as: arXiv:physics/0110060 [physics.class-ph]
(or arXiv:physics/0110060v3 [physics.class-ph] for this version)
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 Okun, Lev (1991-01-01). "The fundamental constants of physics". Soviet Physics Uspekhi (Sov. Phys. Usp.) 34 (9): 818–826. Bibcode:1991SvPhU..34..818O. doi:10.1070/PU1991v034n09ABEH002475. PACS 06.20.Jr.


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 http://xxx.lanl.gov/abs/hep-ph/0112339
Max Planck introduced four natural units: h, c, G, k. Only the first three of them retained their status, representing the so called cube of theories, after the theory of relativity and quantum mechanics were created and became the pillars of physics. This short note is a little pebble on the tombstone of Michael Samuilovich Marinov.
Comments: 7 pages, to be published in ``Multiple facets of quantization and supersymmetry'', Michael Marinov Memorial Volume, Eds. M. Olshanetsky and A. Vainshtein, World Scientific, 2002
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-ph/0112339
(or arXiv:hep-ph/0112339v1 for this version)
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LUZ Y GRAVEDAD. Año Internacional de la Luz 2015



Como parte de las celebraciones mundiales de los 100 años de la Teoría de la Relatividad General de Einstein y el Año Internacional de la Luz 2015:

Ciclo de conferencias 
sobre la Teoría de la Relatividad General por Frederic Schuller, impartidas en la Escuela Internacional de Invierno sobre Gravedad y Luz de la universidad de Linz (Austria).
Nos dan una introducción de los fundamentos matemáticos y físicos de la teoría en 24 conferencias autónomas.
Las conferencias desarrollan la teoría de los primeros principios y apuntan a un público que va desde estudiantes universitarios ambiciosos de comenzar a estudiantes de doctorado en matemáticas y física.


International Winter School On Gravity And Light 2015

Gravity and Light International Winter School 2015
FEBRUARY 14-28, 2015
AT JOHANNES KEPLER UNIVERSITY, LINZ/AUSTRIA
A full immersion course from the basics to the research frontier
Aim
In order to understand physics, one must understand the structure of spacetime.
This is because both, our most advanced theory of gravity and the description of matter — general relativity and the standard model of elementary particle physics —  employ the spacetime structure in a pivotal way.
Required background of students
Background knowledge minimally required of students is what one normally would have acquired after the second year of university courses in physics and/or mathematics.
The course aims at graduate students (roughly year 4 to 5) at universities but will be accessible to advanced undergraduates and still very rewarding to beginning postgraduate students.
Philosophy of the School
A group of dedicated lecturers and distiguished experts in the field
will explain the entire mathematical and physical foundations required for a state-of-the-art command of spacetime concepts,
and thus take you on a seamless journey from your current knowledge to contemporary research highlights.

Lecturers


Frederic P. Schuller
Institute for Quantum Gravity, Erlangen
since 2012 Interim Associate Professor and Chair, Institute for Quantum Gravity,
Friedrich-Alexander University Erlangen-Nuremberg, Germany
2008—2012 Researcher, Max Planck Institute for Gravitational Physics, Germany
2006—2008 Professor of Mathematical Physics, UNAM, Mexico
2005 Visting Research Fellow, The Mathematical Institute, University of Oxford, UK
2004—2006 Research Fellow, Perimeter Institute for Theoretical Physics, Canada
2004 PhD, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, UK

Bernard F. Schutz
Director emiritus, Max Planck Institute for Gravitational Physics
since 1995 Director, Max Planck Institute for Gravitational Physics, Germany
since 1985 Professor of Physics and Astronomy, Cardiff University, Wales, UK
Details
1976—1985 Reader in Applied Mathematics and Astronomy, Cardiff University, Wales, UK
1974—1976 Lecturer in Applied Mathematics and Astronomy, Cardiff University, Wales, UK
1973—1974 Instructor in Physics, Yale University, New Haven, CT, USA
1972—1973 Postdoctoral research assistant at Yale University, New Haven, CT, USA
1971—1972 National Science Foundation Postdoctoral Fellow at Cambridge University, Cambridge, England (Institute of Astronomy and Department of Applied Mathematics and Theoretical Physics).
Bernard F. Schutz - Wikipedia, the free encyclopedia
Bernard F. Schutz. From Wikipedia, the free encyclopedia
Bernard F. Schutz (born 11 August 1946, Paterson, New Jersey) is an American physicist. His research is on Einstein's theory of general relativity, more concretely on the physics of gravitational waves. He is one of the directors and head of the astrophysics group at the Max Planck Institute for Gravitational Physics in Potsdam, Germany. He is principal investigator in charge of data analysis for the GEO600 collaboration (which, in turn, is part of the LIGO Scientific Collaboration, the largest concerted effort to directly detect gravitational waves). Schutz is also a member of the science team coordinating the planning and development for the space-borne gravitational wave detector LISA (Laser Interferometer Space Antenna), and he was instrumental in the foundation of the electronic, open access review journal Living Reviews in Relativity.

Bibliography
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.
Common terms and phrases
General relativity has become one of the central pillars of theoretical physics, with important applications in both astrophysics and high-energy particle physics, and no modern theoretical physicist's education should be regarded as complete without some study of the subject. This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses.
This book invites the reader to understand our Universe, not just marvel at it. From the clock-like motions of the planets to the catastrophic collapse of a star into a black hole, gravity controls the Universe. Gravity is central to modern physics, helping to answer the deepest questions about the nature of time, the origin of the Universe and the unification of the forces of nature. Linking key experiments and observations through careful physical reasoning, the author builds the reader's insight step-by-step from simple but profound facts about gravity on Earth to the frontiers of research. Topics covered include the nature of stars and galaxies, the mysteries of dark matter and dark energy, black holes, gravitational waves, inflation and the Big Bang. Suitable for general readers and for undergraduate courses, the treatment uses only high-school level mathematics, supplemented by optional computer programs, to explain the laws of physics governing gravity.
Contents
oooo
  • Schutz, Bernard F. (May 31, 2009), A first course in general relativity (2 ed.), Cambridge University Press, ISBN 0-521-88705-4
References
  1. American Men and Women of Science, Thomson Gale, 2004

External links



Domenico Giulini
Professor for Theoretical Physics
since 2014 Chair of the Gravitation and Relativity Section of the German Physical Society
since 2013 Member of the Board of Directors, Riemann Center for Geometry and Physics, Hannover, Germany
since 2009 Professor, Institute for Theoretical Physics, University of Hannover, Germany
2007—2009 Researcher, Max Planck Institute for Theoretical Physics, Germany
1997—2007 Research and Teaching, Universities Zurich, Freiburg, Karlsruhe
1996 Habilitation and venia legendi, University of Freiburg, Germany
1990 PhD, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, UK

Marcus C. Werner
Yukawa Institute Japan and Cambridge University
from 2015 Assistant Professor, Yukawa Institute for Theoretical Physics, Japan
since 2012 Adjunct Assistant Professor, Department of Mathematics, Duke University, USA
since 2011 Research Fellow Kavli Institute for the Physics and the Mathematics of the Universe, Japan
2009—2011 Visiting Assistant Professor Department of Mathematics, Duke University, USA
2005—2009 PhD University of Cambridge, UK

Valeria Pettorino
ITP Heidelberg
Junior Research Group Leader for HGSFP and ITP Cosmology Group, University of Heidelberg, Germany
Marie Curie Fellow, University of Geneva, Switzerland
Postdoctoral Fellow, SISSA Trieste, Italy
Alexander von Humboldt Fellow, University of Heidelberg, Germany
Postdoctoral Fellow, Torino, Italy
PhD, University of Naples, Italy


Schedule
First Week Sunday Monday Tuesday Wednesday Thursday Friday Saturday
9-10.15am Mathematical Revision Course Main Lecture on Gravity and Light Workshop Main Lecture on Gravity and Light Excursion: Ars Electronica Center Workshop Main Lecture on Gravity and Light
10.15-10.45am Coffee Break Coffee Break
10.45-12am Mathematical Revision Course Main Lecture on Gravity and Light Workshop Main Lecture on Gravity and Light Workshop Main Lecture on Gravity and Light
12-2pm Lunch Lunch
2-4pm Mathematical Revision Course Tutorial Classic Journal Club Tutorial Classic Journal Club Tutorial
4-4.30pm Coffee break
4.30-6pm Mathematical Revision Course Excursion 1 Excursion 2
Satellite
Lecture
Satellite
Lecture

6-8pm Dinner Dinner
8-9pm Opera Evening Lecture
Second Week Sunday Monday Tuesday Wednesday Thursday Friday Saturday
9-10.15am
Main Lecture on Gravity and Light Workshop Main Lecture on Gravity and Light Workshop Main Lecture on Gravity and Light Presentation of Workshop Results
10.15-10.45am Coffee Break
10.45-12am Main Lecture on Gravity and Light Workshop Main Lecture on Gravity and Light Workshop Main Lecture on Gravity and Light Presentation of Workshop Results
12-2pm Lunch
2-4pm
Tutorial Classic Journal Club Tutorial Classic Journal Club Tutorial Final Meeting
4-4.30pm Coffee break
4.30-6pm Satellite
Lecture
Satellite
Lecture

Satellite
Lecture
Satellite
Lecture
6-8pm Dinner
8-9pm Evening Lecture

Evening Lecture

Modules
The aim of the school is achieved by way of three well-balanced pillars:
A 15-hour online course on differential geometry (held and made available two weeks before the school)
A 15-hour lecture course (coherently introducing the theories of general relativity and light)
A 12-hour satellite lecture program by four different experts (taking you to the research frontier)
A 12-hour series of tutorials by excellent teaching assistants (to practice the basics)
A 10-hour series of workshops (where more advanced problems are solved in teams)
An 8-hour classical papers journal club (linking the modern theory to its historical and philosophical roots)
Keynote evening lectures on gravitational waves, lensing, the microwave background and quantum gravity
Tour and practical observations at the Kepler observatory in Linz
Cinema viewing of the Kepler Opera (providing a window into Kepler's life and time)

Gravity and Light International Winter School 2015  ?
http://www.gravity-and-light.org/lectures ?
http://www.gravity-and-light.org/tutorials ?
https://www.youtube.com/playlist?list=PLFeEvEPtX_0S6vxxiiNPrJbLu9aK1UVC_
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Publicado el 10/02/2015


As part of the world-wide celebrations of the 100th anniversary of Einstein's theory of general relativity and the International Year of Light 2015, the Scientific Organizing Committee makes available the central 24 lectures by Frederic P Schuller.
Central lecture course by Frederic P Schuller (A thorough introduction to the theory of general relativity) introducing the mathematical and physical foundations of the theory in 24 self-contained lectures at the International Winter School on Gravity and Light in Linz/Austria.
Titled "A thorough introduction to the theory of general relativity", the lectures introduce the mathematical and physical foundations of the theory in 24 self-contained lectures. The material is developed step by step from first principles and aims at an audience ranging from ambitious undergraduate students to beginning PhD students in mathematics and physics.
The lectures develop the theory from first principles and aim at an audience ranging from ambitious undergraduate students to beginning PhD students in mathematics and physics.
Satellite Lectures (see other videos on this channel) by Bernard F Schutz (Gravitational Waves), Domenico Giulini (Canonical Formulation of Gravity), Marcus C Werner (Gravitational Lensing) and Valeria Pettorino (Cosmic Microwave Background) expand on the topics of this central lecture course and take students to the research frontier.
Access to further material on www.gravity-and-light.org/lectures and www.gravity-and-light.org/tutorials

Lecture 1: Topology (International Winter School on Gravity and Light 2015) - YouTube
https://youtu.be/7G4SqIboeig?list=PLFeEvEPtX_0S6vxxiiNPrJbLu9aK1UVC_

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a) The power set (P) of a set (M) is the set which contains all subsets of that set. u∈P(M) <-> u⊆M
b) A topology (O) can be defined on a set (M) as a subset of the power set
-i) a topology must contain the set (M) and the empty set. ∅,M∈O (∴{∅,M}⊆O⊆P(M))
-ii) the intersection of any two members of a topology must also be a member of the topology. (v∩u)∈O | u,v∈O
-iii) the union of any number of members of the topology must also result in a member of the topology. Ui(u)∈O | u∈O (is there any reason it needs to be an indexed set rather than simply v∪u like the previous axiom?)
c) Members of a topology are called open sets d) A set is closed if it's compliment (relative in M) is an open set e) A map (f) from set M to set N is continuous if the preimage (with respect to f) of every open set in N is an open set in M (obviously requireing a topology in both). ∀V∈O:preim(V)∈O f) If we have 2 maps (f:M->N and g:N->P) and they're both continuous, then the composition of the two is also continuous. g) A subset (S) of a set with a topology can inherit that topology by taking the intersection of the subset and every element in the topology. Os = {u∩S|u∈O} h) If you restrict a continuous map to a specific subset in the domain and inherit the topology, then the restricted map is still continuous.
Nice synopsis for such a long video eh?

Lecture 2: Topological Manifolds (International Winter School on Gravity and Light 2015) - Duración: 1:23:01 de The WE-Heraeus International Winter School on Gravity and Light 5,597 vistas
https://youtu.be/93f-ayezCqE?list=PLFeEvEPtX_0S6vxxiiNPrJbLu9aK1UVC_

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Lecture 3: Multilinear Algebra (International Winter School on Gravity and Light 2015) - Duración: 1:42:36 de The WE-Heraeus International Winter School on Gravity and Light 4,498 vistas
https://youtu.be/mbv3T15nWq0?list=PLFeEvEPtX_0S6vxxiiNPrJbLu9aK1UVC_

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This is the most thorough explanation of the vector space I have ever heard (13:43). Thank you for the nice lecture.

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https://www.youtube.com/watch?v=IBlCu1zgD4Y
https://youtu.be/IBlCu1zgD4Y

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Lecture 9: Newtonian spacetime is curved! (International Winter School on Gravity and Light 2015) - YouTube

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Publicado el 27/02/2015
https://youtu.be/7VJzouE9rNE

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Tutorials 11 videos

  Tutorials  - The WE-Heraeus International Winter School on Gravity and Light
Tutorial 1: Topology (International Winter School on Gravity and Light 2015) - Duración: 32:35 de The WE-Heraeus International Winter School on Gravity and Light 1,103 vistas

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Tutorial 13: Schwarzschild Spacetime (International Winter School on Gravity and Light 2015) - Duración: 33:32 de The WE-Heraeus International Winter School on Gravity and Light 214 vistas
https://youtu.be/KQe2sqGIzTg
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