File:Carframe.gif
Carframe.gif (360 × 188 pixels, file size: 224 KB, MIME type: image/gif, looped, 41 frames, 7.0 s)
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Summary
| Description | Map and car frame perspectives of proper (red) and geometric (blue) accelerations for an automobile driving from one stop sign to the next. |
| Date | |
| Source | Own work |
| Author | P. Fraundorf |
Added notes
Note that from the map frame, we only see the (red) proper-accelerations experienced due to speed-up and braking forces of the car on its passengers. In the accelerated/decelerated car-frame, on the other hand, those proper-forces seem to be balanced by inertial (kinematic or geometric) forces (associated with blue vectors) that act on every ounce of the passengers e.g. pushing them into the seat as the car speeds up.
The animation at right illustrates that (blue) gravitational accelerations, like those inertial forces in the figure above, act on every ounce of a traveler from our "shell frame" point of view, but vanish altogether in the free-float-frame of a pop-up fly-ball. The only (red) proper forces in the free-float-frame arise when our object is in contact with the ground. In this way general relativity explains gravitational acceleration as an affine-connection (kinematic or geometric) effect caused directly by the fact that time passes faster with increasing altitude.
Footnotes
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:46, 12 March 2008 | | 360 × 188 (224 KB) | Unitsphere | |
| 17:16, 12 March 2008 |  | 360 × 188 (224 KB) | Unitsphere | {{Information |Description=Map and car frame perspectives of proper (red) and geometric (blue) accelerations for a car driving from one stop sign to the next. |Source=self-made |Date=12 March 2008 |Author= P. Fraundorf |Permission=see below |other_version |
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