File:Carframe.gif

Carframe.gif (360 × 188 pixels, file size: 224 KB, MIME type: image/gif, looped, 41 frames, 7.0 s)

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

Two views of gravity's acceleration.

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


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12 March 2008

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b90dbf34cb64a925f28e9008b9630688145ce1df

229,358 byte

6.969999999999998 second

188 pixel

360 pixel

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Date/TimeThumbnailDimensionsUserComment
current20:46, 12 March 2008Thumbnail for version as of 20:46, 12 March 2008360 × 188 (224 KB)Unitsphere
17:16, 12 March 2008Thumbnail for version as of 17:16, 12 March 2008360 × 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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