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|    sci.physics.research    |    Current physics research. (Moderated)    |    17,516 messages    |
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|    Message 17,333 of 17,516    |
|    Luigi Fortunati to All    |
|    Re: Gravity and curvature    |
|    25 Dec 23 01:30:57    |
      From: fortunati.luigi@gmail.com              Jonathan Thornburg [remove -color to reply] il 21/12/2023 09:19:38 ha=20       scritto:       > In my opinion a better analogy is to consider horizontal motion on the       > Earth's surface (which we can treat as being spherical for present       > purposes).       >       > Suppose you have two nearby ships on the Earth's (ocean) surface, whose       > courses are initially parallel (i.e., d/dt of the distance between them       > is zero), and that both ships move along "locally straight" lines, i.e.=       ,       > symmetrical hulls and rudders not deflected left or right. Then each       > ship will travel along a great circle on the Earth's surface. This       > implies that the ships paths will *converge* (i.e., d^2/dt^2 of the       > distance between them must be negative).              If there are 2 ships at the equator initially traveling south (and if=20       the rudder is always kept on starboard), they will end up meeting at=20       the south pole and if they initially travel north, they will end up=20       meeting in a completely different place (the pole north).               Instead, if there are 2 elevators whose cables break while they are=20       going up or down, they will always end up meeting in the same place:=20       the center of the Earth!              This happens because there is no force that changes the direction of=20       motion of the 2 ships but the force that reverses the direction of=20       travel of the 2 elevators that are going up when the cables break is=20       there!              Therefore, the comparison between the two conditions is not at all=20       correct, because in one case the forces are there and in the other they=20       are not.              Luigi Fortunati              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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