Saturday, January 13, 2018

13 jan. 2018. Short notes on Special Theory of Relativity.

Albert Einstein, in his theory of special relativity, determined that the laws of physics are the same for all non-accelerating observers, and he showed that the speed of light within a vacuum is the same no matter the speed at which an observer travels.Nov 7, 2017

13 jan. 2018 sat.

Einstein's Theory of General Relativity: A Simplified Explanation

https://www.space.com/17661-theory-general-relativity.html

Special relativity - Wikipedia

https://en.wikipedia.org/wiki/Special_relativity
What are the two postulates of special relativity?
The Postulates of Special Relativity. The laws of physics are the same in all inertial frames of reference. The speed of light in vacuum has the same value c in all inertial frames of reference.


What is the Lorentz contraction?

Length contraction - Wikipedia

https://en.wikipedia.org/wiki/Length_contraction
Length contraction is the phenomenon that a moving object's length is measured to be shorter than its proper length, which is the length as measured in the object's own rest frame.
History · ‎Basis in relativity · ‎Reality of length contraction · ‎Derivation


What is the Lorentz contraction?
One of the peculiar aspects of Einstein's theory of special relativity is that the length of objects moving at relativistic speeds undergoes a contraction along the dimension of motion. An observer at rest (relative to the moving object) would observe the moving object to be shorter in length.


How does gravity affect space and time?
What is proper length and proper time?

Length Contraction - The Physics Classroom

www.physicsclassroom.com/mmedia/specrel/lc.cfm
How does gravity affect space and time?
Gravitational time dilation. ... The higher the gravitational potential (the farther the clock is from the source of gravitation), the faster time passes. Albert Einstein originally predicted this effect in his theory of relativity and it has since been confirmed by tests of general relativity.

Which is proper time?
In relativity, proper time along a timelike world line is defined as the time as measured by a clock following that line. It is thus independent of coordinates, and a Lorentz scalar. The proper time interval between two events on a world line is the change in proper time.

Proper time - Wikipedia

https://en.wikipedia.org/wiki/Proper_time
What is time dilation?

Time dilation/length contraction - HyperPhysics Concepts

hyperphysics.phy-astr.gsu.edu/hbase/Relativ/tdil.html
A clock in a moving frame will be seen to be running slow, or "dilated" according to the Lorentz transformation. The time will always be shortest as measured in its rest frame. The time measured in the frame in which the clock is at rest is called the "proper time".
You visited this page on 12/28/17.

Mass in special relativity - Wikipedia

https://en.wikipedia.org/wiki/Mass_in_special_relativity
The term mass in special relativity usually refers to the rest mass of the object, which is the Newtonian mass as measured by an observer moving along with the object. The invariant mass is another name for the rest mass of single particles. The more general invariant mass (calculated with a more complicated formula) ...
Missing: increments
14 jan 2018.

In this supposed paradox, one of two twins travels at near the speed of light to a distant star
and returns to the earth.
Relativity dictates that when he comes back, he is younger than his identical twin brother. ...
Hence, the brother who travels to the star is younger.
14 jan. 2018.

Search Results

In this supposed paradox, one of two twins travels at near the speed of light to a distant star and returns to the earth. Relativity dictates that when he comes back, he is younger than his identical twin brother. ... Hence, the brother who travels to the star is younger.

How does relativity theory resolve the Twin Paradox? - Scientific ...

https://www.scientificamerican.com/article/how-does-relativity-theor/

18 jan. 2018 thurs.
Geodesic

  • a geodesic (/ˌdʒiːəˈdɛsɪk, ˌdʒiːoʊ-, -ˈdiː-, -zɪk/) is a generalization of the notion of a "straight line" to "curved spaces". The term "geodesic" comes
    22 KB (3,051 words) - 17:44, 3 January 2018
  • curvature tensor, and the trajectory of an object solely under the influence of gravity
    is called a geodesic. The geodesic deviation equation relates
    5 KB (795 words) - 21:56, 23 October 2016
  • accuracy in understanding orbits. In relativity theory, orbits follow geodesic trajectories which are usually approximated very well by the Newtonian predictions
    53 KB (7,709 words) - 15:39, 9 January 2018
  • is a geodesic. Gromov-Hausdorff convergence Geodesic metric space is a metric space where any two points are the endpoints of a minimizing geodesic. Hadamard
    13 KB (2,058 words) - 15:39, 15 July 2017

    Tensors.
    tensor
    ˈtɛnsə,ˈtɛnsɔː/
    noun
    noun: tensor; plural noun: tensors
    1. 1.
      Mathematics
      a mathematical object analogous to but more general than a vector, represented by
      an array of components that are functions of the coordinates of a space.

    Origin
    early 18th century: modern Latin, from Latin tendere ‘to stretch’.
    Translate tensor to
    Use over time for: tensor
    Translations, word origin, and more definitions

    Tensor - Wikipedia

    https://en.wikipedia.org/wiki/Tensor
    Jump to Definition - In mathematics, tensors are geometric objects that describe
    linear relations between geometric vectors, scalars, and other tensors. ...
    A vector is represented as a 1-dimensional array in a basis, and is a 1st-order tensor.
    Scalars are single numbers and are thus 0th-order tensors.

    tensor | Definition of tensor in English by Oxford Dictionaries

    https://en.oxforddictionaries.com/definition/tensor
    Definition of tensor - a mathematical object analogous to but more general than a vector,
    represented by an array of components that are functions of the.
18 jan. 2018.





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