File:(1+1)D equations of metric-first "traveler-point" dynamics.png
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Captions
Captions
Schematic of (1+1)D equations of motion optimized for use also (where applicable) in (3+1)D and in curved spacetimes.
Summary
[edit]D_equations_of_metric-first_%22traveler-point%22_dynamics.png&action=edit§ion=1){kind=link}
| Description |
English: Metric-first[1] equations in (1+1)D for motion at any speed in flat spacetime. The dot over the equals sign means this works only for unidirectional motion. The Lorentz transform section at far right is the only place which requires more than one map (or bookkeeper) reference frame of yardsticks and synchronized clocks. In the other sections, accelerated motion is fair game! The symbol ξ is being used for proper forces (felt by the object of their action) while f (as usual) is used for the corresponding frame-variant force which (from free-float frame perspectives) connects to action-reaction and conservation of momentum. Geometric forces (like gravity and centrifugal) that are invisible to cell-phone accelerometers only emerge when the metric is allowed to become "non-flat". |
| Date | |
| Source | Own work |
| Author | P. Fraundorf |
Licensing
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I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
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- ↑ P. Fraundorf (2011/2012) "Metric-first & entropy-first surprises", arXiv:1106.4698 [physics.gen-ph].
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:58, 3 June 2021 | | 2,267 × 1,154 (110 KB) | Unitsphere (talk | contribs) | minor changes e.g. embolden the least frame-variant quantities |
| 13:45, 23 April 2021 |  | 2,267 × 1,158 (96 KB) | Unitsphere (talk | contribs) | Uploaded own work with UploadWizard |
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