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On page 230 in this appendix to "Science At the Crossroads", Dingle writes:
- (start quote)
- Thus, between events E0 and E1, A advances by and B by by (1). Therefore
-
- ...
- Thus, between events E0 and E2, B advances by and A by by (2). Therefore
-
- Equations (3) and (4) are contradictory: hence the theory requiring them must be false.
- (end quote)
Dingle should have written as follows:
- (start correction)
- Thus, between events E0 and E1, A, which is not present at both events, advances by and B, which is present at both events, by by (1). Therefore
-
- ...
- Thus, between events E0 and E2, B, which is not present at both events, advances by and A, which is present at both events, by by (2). Therefore
-
- Equations (3) and (4) are consistent and say that any event's coordinate time is always larger than its proper time:
hence there is no reason to say that the theory requiring them must be false.
- (end correction)
DVdm 12:18, 6 August 2007 (UTC)