Finding the Missing Time in the Instantaneous Turnaround Version of the Twin Paradox

Author:

Kohler Matthew

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy

Reference34 articles.

1. 1. E. F. Taylor and J. A. Wheeler, Spacetime Physics (Freeman, San Francisco, 1966), pp. 94–95. The Earth and ship twin “see each other's clocks running slow.” The authors reconcile Earth and ship twin points of view by including the “correction for change in standard of simultaneity between [the traveling twin's] outgoing and incoming inertial frames.”

2. 2. N. D. Mermin, Space and Time in Special Relativity (McGraw-Hill, New York, 1968), pp. 141–153. Mermin's traveling twin (p. 148) realizes he must make a “relativity of simultaneity correction.” Mermin's twin uses time dilation (p. 150): “On both legs of the journey he [the traveling twin] knows that the Earth clocks are running slowly.”

3. 3. S. P. Boughn, “The case of the identically accelerated twins,” Am. J. Phys. 57, 791 (1989). Boughn states (p. 793): “According to twin No. 2 [the ship twin], twin No. 1 [the Earth twin] ages less rapidly by a factor 1/γ during the entire trip. However, because of the acceleration at turnaround, there is a change in synchronization between the two twins' clocks. This change more than compensates for the apparent slowdown in twin No. 1's aging and at the end of the trip twin No. 1 is the older of the two.”

4. 4. M. Schön, “Twin paradox without one-way velocity assumptions,” Found. Phys. 28, 185 (1998). Schön explains (p. 196): “… according to [the traveling twin's] point of view, the Earth clock suffered a ‘synchronization jump’ which overcompensated the dilation effect.” Schön calculates the jump in terms of ship frame distance — his Eq. (30) is equivalent to the present Eq. (7).

5. 5. M. Pauri and M. Vallisneri, “Märzke-Wheeler coordinates for accelerated observers in special relativity,” Found. Phys. Lett. 13, 401 (2000). The excerpt in the text appears on p. 412.

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