התעלומה נפתרה? צביר חורים שחורים נסתר התגלה באומגה קנטאורי

תגובה אחת

1. אתחיל בשאלה ששאלתי את הבינה המלאכותית: י

   In twin paradox, the travelling twin is younger when they are reunited.

   But what’s happening if the travelling twin is stationary relative to the cmbr? Let say they both started at a speed of factor gama equals 10 relative to the cmbr and the travelling twin accelerated until he is stationary relative to the cmbr, travel for one year according to his clock, and then returns to his brother

   התשובה שקיבלתי: י

   Let me think about this interesting variant of the twin paradox step by step.

   1) Initial conditions:

   – Both twins start moving at γ=10 relative to the CMB rest frame

   – The "traveling" twin decelerates to become stationary relative to CMB

   – Stays there for 1 proper year

   – Then accelerates back to rejoin their twin

   2) Key points to consider:

   – The "stationary" twin maintains γ=10 relative to CMB throughout

   – The "traveling" twin experiences proper time during acceleration phases

   – Special relativity tells us that proper time is maximum in the frame where an object is at rest

   3) Analysis:

   – During the travel period in CMB frame:

   * "Stationary" twin's time dilation: Their 1 year dilates by γ=10

   * "Traveling" twin experiences:

   – Deceleration phase (some proper time)

   – 1 year proper time while stationary in CMB frame

   – Acceleration phase (some proper time)

   4) Crucial insight:

   The "stationary" twin is actually the one moving at high speed relative to the CMB frame. They experience more time dilation than their "traveling" sibling who spends most time in the CMB rest frame.

   Therefore, in this scenario, the "traveling" twin who becomes stationary relative to the CMB would actually be OLDER when they reunite, not younger. This is because they spend significant time in a frame with less time dilation (the CMB rest frame), while their sibling remains in a highly time-dilated state throughout.

   This is a fascinating inversion of the classic twin paradox result, showing how our choice of reference frame can dramatically affect the outcome. The key is that being at rest in the CMB frame minimizes time dilation, while moving at γ=10 relative to it causes significant time dilation.

   Would you like me to elaborate on any part of this analysis? For instance, we could calculate the exact age difference if you'd like to specify the acceleration phases in more detail.

   על פי התשובה התאום המטייל הוא שיזדקן ואחיו שנשאר מאחור יהיה צעיר יותר כאשר יפגשו אחרי הטיול

   זו התשובה שקיבלתי מכל אפליקציות הבינה המלאכותית בפירוט שונה, אך בתוצאה זהה

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