Recent content by ersteller
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Graduate Lorentz vs space time interval
Thank you phyzguy, it helps a lot! Now I've understood my mistake and I can go on, and find other mistakes... :smile: For example, from {(ct')^{2} - x'^{2} = - x^{2}} can one really find t' without using the Lorentz transformations? I thought yes, but how to...- ersteller
- Post #5
- Forum: Special and General Relativity
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Graduate Lorentz vs space time interval
Thank you; have you please the patience to help me again? My aim is to find t' using the invariance of the space time interval. This interval calculated in S is x2. This interval in S' should be x'2 - t'2. It should be x'2 - t'2 = x2. S' moves wrt S at velocity v, so, as I...- ersteller
- Post #3
- Forum: Special and General Relativity
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Graduate Lorentz vs space time interval
Hallo. A question about the relationship between the formulas found using the Lorentz transform and the invariance of the space time interval. Two events A and B occur at the same time and different space locations in system S, where A and B are at rest and at distance x. The system S'...- ersteller
- Thread
- Interval Lorentz Space Space time Time Time interval
- Replies: 4
- Forum: Special and General Relativity
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Graduate Negative squares using the space time interval invariance
I guess YES, but is perhaps better to wait for an explanation... Now I've less doubts, thank you... er- ersteller
- Post #11
- Forum: Special and General Relativity
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Graduate Negative squares using the space time interval invariance
You're right, I forgot a minus sign... (CT)2 - (ABc)2 = - (AB)2 that is (CT)2 = (AB)2 (\frac{1}{\gamma^{2}} - 1) (<0 but no more a problem...) Yes, I must admit! er- ersteller
- Post #9
- Forum: Special and General Relativity
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Graduate Negative squares using the space time interval invariance
Very good! Now I can do my simple calculation without harm! Thank you! Here perhaps I can help you: From the invariance of the spacetime interval (CT)2 - (ABc)2 = (AB)2 (and without problems arising from the 'negative square'...) one can immediately find T... or not? Ciao er- ersteller
- Post #7
- Forum: Special and General Relativity
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Graduate Negative squares using the space time interval invariance
Thank you. My point (now) is not to *find* a number, but only to understand: By using the invariance of the spacetime interval, all quantities in SR kinematics can be found, as I've understood. So my question, that perhaps you have already answered, is: Why have I a negative square in this...- ersteller
- Post #5
- Forum: Special and General Relativity
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Graduate Negative squares using the space time interval invariance
Thank you With this signature (+,-,-,-) a SPACElike interval is negative, and this is our case. And for sure (CT)2 = (ABC)2 - (AB)2 IS negative. What I find very interesting in your answer is when you say: "just ignore the sign, take the square root, the put the sign back"... Really so...- ersteller
- Post #3
- Forum: Special and General Relativity
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Graduate Negative squares using the space time interval invariance
Hallo I'm new to this (wonderful) forum, and to SR too... I've a general question about the space time interval invariance. Say we have two points A and B, at rest each other, at distance AB. Now A and B simultaneously in their reference frame emit a flash of light. The space time interval...- ersteller
- Thread
- Interval Invariance Negative Space Space time Squares Time Time interval
- Replies: 11
- Forum: Special and General Relativity