Question Regarding Time Passage @ Light Speed

AI Thread Summary
The discussion revolves around a physics problem involving time dilation and twin paradox scenarios. Dobson travels away from Earth at 0.96 times the speed of light for 7 years, then returns at half that speed, while Anthony remains stationary on Earth. The key question is to determine the age difference between the twins upon Dobson's return. The original poster expresses confusion about the calculations and seeks assistance in understanding the underlying math of time dilation. The conversation highlights the complexities of relativistic effects on aging due to high-speed travel.
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Homework Statement


"Anthony and Dobson are twins. Dobson travels in a straight line away from Earth for 7 years according to his time at 0.96 times the speed of light. After 7 years he turns back and travels back to Earth at half the speed. Meanwhile, Anthony was waiting stationary on Earth. When Dobson gets back, what is the age difference in years between Anthony and Dobson ?"


Homework Equations





The Attempt at a Solution


None =\ very much confused on this extra credit question.

A couple bucks via PayPal if anyone can help me figure this out. I don't want just an answer, but help understanding the math behind the answer.
 
Physics news on Phys.org
Ever heard of time dilation?
 
I am familiar with the concept but as far as the math behind it, I'm completely clueless. Been reading everything I could get my hands on, it's making me feel real stupid >.<
 
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(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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