File:TravelerKinematic.JPG

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Description
English: Schematic of the (1+1)D traveler-kinematic[1] (centered around τ, dx/dτ & α) for describing motion regardless of speed. The key variables here are traveler or proper-time τ, proper-velocity w ≡ dx/dτ and proper-acceleration α. The traveler-kinematic approach works also in (3+1)D flat space-time, and should in principle work with other metric equations as well. The map-kinematic of Galileo & Newton (centered around t, dx/dt & d2x/dt2) is of course the familiar low-speed approximation.
Date
Source Own work
Author P. Fraundorf
Describing motion with proper traveler-kinematic[2] variables: time τ, velocity w, & acceleration α
flat space examples unidirectional extensions
Traveler kinematics[1] in (1+1)D flat spacetime.
Galilean kinematic[3] approximation at low speed.
Traveler kinematics in (3+1)D flat spacetime.
Traveler kinematics in a Schwarzschild shell-frame.

Footnotes

  1. a b P. Fraundorf (2012) "A traveler-centered intro to kinematics", arxiv:1206.2877 [physics.pop-ph].
  2. P. Fraundorf (1995) "Three self-consistent kinematics in (1+1)D special relativity", arXiv:gr-qc/9512012.
  3. Galileo Galilei (1632/1953/1962/1967) Dialogue Concerning the Two Chief World Systems (Dialogo sopra i due massimi sistemi del mondo) translated by Stillman Drake (U. California Press, Berkeley CA)

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8 February 2014

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74,939 byte

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420 pixel

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953 pixel

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image/jpeg

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30fded5debbc0ee070b66def8f3724b91997b268

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Date/TimeThumbnailDimensionsUserComment
current21:44, 27 March 2014Thumbnail for version as of 21:44, 27 March 2014953 × 420 (73 KB)wikimediacommons>Unitsphereadd some acceleration integrals to the schematic

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