Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia....

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Welcome back to 8.033! Emmy Noether 1882-1935 Image courtesy of Wikipedia.

Transcript of Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia....

Page 1: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

Welcomeback

to 8.033!

Emmy Noether

1882-1935Image courtesy of Wikipedia.

Page 2: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark

PRACTICAL STUFF:

• PS1 due Friday 4PM • Symmetry notes posted

TODAY’S TOPIC: SYMMETRY IN PHYSICS

• Key concepts: frame, inertial frame, transformation, invariant, invariance, symmetry, relativity

• Key people: Galileo Galileo, Emmy Noether

• Symmetry examples: translation, rotation, parity, boost

• Million Dollar question: what are the symmetries of physics?

Page 3: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

What do we mean by symmetry?

Page 4: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

WHAT’S THE SYMMETRY OF THE UNIVERSE?

OF PHYSICS?

Page 5: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

Figures by MIT OCW.

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Page 6: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

Figures by MIT OCW.

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Page 7: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

Figures by MIT OCW.

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Page 8: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday
Page 9: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

WHAT’S THE SYMMETRY

OFCLASSICAL

MECHANICS?

Page 10: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

Figures by MIT OCW.

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Page 11: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday
Page 12: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday
Page 13: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

Figures by MIT OCW.

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Page 14: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday
Page 15: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

?Figures by MIT OCW.

Page 16: Welcome back to 8.033! - MIT OpenCourseWare...Emmy Noether 1882-1935 Image courtesy of Wikipedia. MIT Course 8.033, Fall 2006, Lecture 2 Max Tegmark PRACTICAL STUFF: • PS1 due Friday

SO WHICH DO YOU TRUST MORE:

Classical Mechanics, or E&M?


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Consciousness as a State of Matter - arXiv · Consciousness as a State of Matter Max Tegmark Dept. of Physics & MIT Kavli Institute, Massachusetts Institute of Technology, Cambridge,

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Welcome back to 8.033! - MIT OpenCourseWare · Summary of last lecture: • Space/time unification • More 4-vectors: U, K • Doppler effect, aberration • Proper time, rest length,

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MIT BUSINESS CARDS - MIT Copytech

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The multiverse hierarchy by max tegmark department of physics mit kavli institute

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lec18web.mit.edu/sahughes/www/8.033/lec18.pdfTitle lec18 Author Scott A. Hughes Created Date 11/22/2011 8:17:50 PM

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Welcome back to 8.033! - MIT OpenCourseWare · - devoured star incident => size less than 0.4 A.U. - X-ray spectra reveal disk extending in to 6-20M! Image courtesy of NASA. Astrophysical

Welcome back to 8.033! - MIT OpenCourseWare · - devoured star incident => size less than 0.4 A.U. - X-ray spectra reveal disk extending in to 6-20M! Image courtesy of NASA. Astrophysical

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lec1 - MITweb.mit.edu/sahughes/www/8.033/lec1.pdf · Title: lec1 Author: Scott A. Hughes Created Date: 9/8/2011 5:14:24 PM

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Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

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