1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Using three-dimensional spacetime diagrams in special relativity
Rent:
Rent this article for
USD
10.1119/1.4812591
/content/aapt/journal/ajp/81/8/10.1119/1.4812591
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/8/10.1119/1.4812591
View: Figures

Figures

Image of Fig. 1.
Fig. 1.

The worldsheets of the meter stick (center) and the metal plate (shown in two pieces with the hole in between), (a) as observed in the laboratory frame and (b) according to the stick.

Image of Fig. 2.
Fig. 2.

A light ray traveling along the mast of a moving boat, observed in the reference frame of the boat. The boat is pointed in the –-direction and the mast is tilted in the +-direction, toward the back of the boat. The worldsheet of the mast is represented by the vertical rectangle, and the heavy line along the light cone represents the light ray. Horizontal lines represent the mast at several different instants of time.

Image of Fig. 3.
Fig. 3.

A light ray traveling along the mast of a moving boat, according to an external observer to whom the boat is moving in the –-direction. The worldsheet of the mast is represented by the tilted rectangle, and the heavy line along the light cone represents the light ray. Horizontal lines represent the mast at several different instants of time.

Image of Fig. 4.
Fig. 4.

The horizontal projections of the spacetime diagrams in Figs. 2 and 3 . In the boat's frame (a), the mast is at rest, but in the dock's frame (b) the boat moves to the left; the mast is shown at four discrete instants of time. The beam of light moves along the mast in both cases, as shown by the diagonal line in (b) (and not shown separately in (a)).

Image of Fig. 5.
Fig. 5.

A bouncing light ray on a moving train. One “tick” of the light ray is represented by the diagonal line along the light cone. The vertical projection (top) yields the usual analysis of time dilation in terms of a triangle; the corresponding triangle is obtained from the horizontal projection (right).

Image of Fig. 6.
Fig. 6.

The (a) ordinary and (b) spacetime Pythagorean theorem for a bouncing light beam on a moving train.

Loading

Article metrics loading...

/content/aapt/journal/ajp/81/8/10.1119/1.4812591
2013-08-01
2014-04-16
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Using three-dimensional spacetime diagrams in special relativity
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/8/10.1119/1.4812591
10.1119/1.4812591
SEARCH_EXPAND_ITEM