Imagining the Fifth DimensionTo read along go to: http://imaginingthetenthdimension.blogspot.com/2011/08/imagining-fifth-dimension.html (there is quite a lot of additional content in the text version of this blog)
Other links:
http://imaginingthetenthdimension.blogspot.com/2010/01/you-are-point.html
http://imaginingthetenthdimension.blogspot.com/2008/06/being-more-fifth-dimensional.html
http://www.merriam-webster.com/dictionary/orthogonal
http://hem.bredband.net/b153434/Works/Hawking.htm
http://en.wikipedia.org/wiki/Many-worlds_interpretation
http://en.wikipedia.org/wiki/World_line
http://en.wikipedia.org/wiki/David_Deutsch
http://www.amazon.com/Fabric-Cosmos-Space-Texture-Reality/dp/0375412883
http://imaginingthetenthdimension.blogspot.com/2008/02/song-4-of-26-unseen-eye.html
http://www.newscientist.com/article/mg19526223.700-parallel-universes-make-quantum-sense.html?full=true
http://www.newscientist.com/article/mg19626355.900-news-review-2007-return-of-the-parallel-universe.html
http://superflux.in/work/5th-dimensional-camera
http://imaginingthetenthdimension.blogspot.com/2010/05/5th-dimensional-camera-project.html
http://en.wikipedia.org/wiki/Albert_Einstein
http://en.wikipedia.org/wiki/Theodor_Kaluza
http://en.wikipedia.org/wiki/Oskar_Klein
http://en.wikipedia.org/wiki/Kaluza%E2%80%93Klein_theory
http://en.wikipedia.org/wiki/String_theory
http://www.youtube.com/watch?v=XjsgoXvnStY
http://imaginingthetenthdimension.blogspot.com/2011/08/imagining-sixth-dimension.html
http://imaginingthetenthdimension.blogspot.com/2011/05/proof-that-multiverse-equals-many.html
http://arxiv.org/abs/1105.3796
http://news.discovery.com/space/black-holes-on-a-string-in-the-fifth-dimension.html
http://imaginingthetenthdimension.blogspot.com/2011/08/imagining-fourth-dimension.html
http://imaginingthetenthdimension.blogspot.com/2011/08/imagining-third-dimension.html
http://imaginingthetenthdimension.blogspot.com/2011/08/imagining-second-dimension.html
Stephen Hawking - Time Dilation
Stephen Hawking - Wormholes
Movie Science: InterstellarBecome a Screen Junkie! ►► http://bit.ly/sjsubscr
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Interstellar is igniting furious debate among movie fans - but what about scientists? We brought in a real physicist to analyze all the black holes, wormholes, and plot holes (?) in Christopher Nolan's latest film.
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Neil deGrasse Tyson Explains The End Of 'Interstellar'Astrophysicist Neil deGrasse Tyson saw 'Interstellar' and then came by Business Insider to explain what the ending means – and if it's scientifically sound.
Business Insider is the fastest growing business news site in the US. Our mission: to tell you all you need to know about the big world around you. The BI Video team focuses on technology, strategy and science with an emphasis on unique storytelling and data that appeals to the next generation of leaders – the digital generation.
Neil deGrasse Tyson on "Interstellar"For astrophysicists, "Interstellar" is probably like being a kid in a candy store. But how realistic is it? The one and only Neil deGrasse Tyson talks about the realism of "Interstellar" and how the Matthew McConaghey-led space epic stacks up to some of his favorite science fiction flicks.
Einstein's Theory Of Relativity Made Easyhttp://facebook.com/ScienceReason ... Albert Einstein's Theory of Relativity (Chapter 1): Introduction.
The theory of relativity, or simply relativity, encompasses two theories of Albert Einstein: special relativity and general relativity. However, the word "relativity" is sometimes used in reference to Galilean invariance.
The term "theory of relativity" was coined by Max Planck in 1908 to emphasize how special relativity (and later, general relativity) uses the principle of relativity.
Special relativity is a theory of the structure of spacetime. It was introduced in Albert Einstein's 1905 paper "On the Electrodynamics of Moving Bodies" (for the contributions of many other physicists see History of special relativity). Special relativity is based on two postulates which are contradictory in classical mechanics:
1. The laws of physics are the same for all observers in uniform motion relative to one another (principle of relativity),
2. The speed of light in a vacuum is the same for all observers, regardless of their relative motion or of the motion of the source of the light.
The resultant theory agrees with experiment better than classical mechanics, e.g. in the Michelson-Morley experiment that supports postulate 2, but also has many surprising consequences. Some of these are:
• Relativity of simultaneity: Two events, simultaneous for one observer, may not be simultaneous for another observer if the observers are in relative motion.
• Time dilation: Moving clocks are measured to tick more slowly than an observer's "stationary" clock.
• Length contraction: Objects are measured to be shortened in the direction that they are moving with respect to the observer.
• Mass-energy equivalence: E = mc2, energy and mass are equivalent and transmutable.
• Maximum speed is finite: No physical object or message or field line can travel faster than light.
The defining feature of special relativity is the replacement of the Galilean transformations of classical mechanics by the Lorentz transformations. (See Maxwell's equations of electromagnetism and introduction to special relativity).
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GENERAL RELATIVITY
General relativity is a theory of gravitation developed by Einstein in the years 1907--1915. The development of general relativity began with the equivalence principle, under which the states of accelerated motion and being at rest in a gravitational field (for example when standing on the surface of the Earth) are physically identical. The upshot of this is that free fall is inertial motion; an object in free fall is falling because that is how objects move when there is no force being exerted on them, instead of this being due to the force of gravity as is the case in classical mechanics.
This is incompatible with classical mechanics and special relativity because in those theories inertially moving objects cannot accelerate with respect to each other, but objects in free fall do so. To resolve this difficulty Einstein first proposed that spacetime is curved. In 1915, he devised the Einstein field equations which relate the curvature of spacetime with the mass, energy, and momentum within it.
Some of the consequences of general relativity are:
• Time goes slower in higher gravitational fields. This is called gravitational time dilation.
• Orbits precess in a way unexpected in Newton's theory of gravity. (This has been observed in the orbit of Mercury and in binary pulsars).
• Rays of light bend in the presence of a gravitational field.
• Frame-dragging, in which a rotating mass "drags along" the space time around it.
• The Universe is expanding, and the far parts of it are moving away from us faster than the speed of light.
Technically, general relativity is a metric theory of gravitation whose defining feature is its use of the Einstein field equations. The solutions of the field equations are metric tensors which define the topology of the spacetime and how objects move inertially.
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