On 5/28/2025 2:09 PM, Alan Grayson wrote:


On Wednesday, May 28, 2025 at 2:26:25 PM UTC-6 Alan Grayson wrote:

    On Wednesday, May 28, 2025 at 1:56:51 PM UTC-6 John Clark wrote:

        On Wed, May 28, 2025 at 3:45 PM Alan Grayson
        <[email protected]> wrote:

            /> Why does it "want" to fall when you cease applying the
            upward force?/


        *Because if no force is applied the apple wants to take the
        shortest path possible through 4D space-time; or to put
        another way, it wants to take the longest possible proper time
        to get from your hand to the ground.  Remember that unlike the
        formula for calculating the distance in space, the formula for
        calculating the spacetime distance between two events contains
        a minus sign, that's why space is different from time. *


    But before it starts to move, how does it know which path
    satisfies the requirement you allege? AG


I don't think it knows or wants anything. And I don't think GR can answer my question. It must be a postulate of GR, that geodesic paths maximize proper time and consequently this is the path a test particle will take in free fall. In other words, we don't actually KNOW why it takes the path it does. AG

It's just a definition of "geodesic" that geodesic paths maximize proper time.  Did you KNOW why massive bodies attracted one another in Newtonian physics?  Do you know why like charges repel and opposite charges attract, instead of the other way around?  If I told you it was God's will that test particles fall along geodesics would you then KNOW why? There are never answers to "why" questions at a fundamental level...otherwise they wouldn't be fundamental.

Brent

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