On Wednesday, May 28, 2025 at 5:02:16 PM UTC-6 Brent Meeker wrote:



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.


No, it's not just a defintion. You can calculate proper time along 
different paths, and find a path which maximizes proper time. But why a 
particle takes that path, AFAICT, is unknown. It must be a postulate of GR. 
I was hoping for more. AG
 

  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.


The "why" questions change as we go down the rabbit hole. Some get 
answered. Asking such questions motivates deeper theories. It's just that I 
had higher hopes for GR. AG 


Brent 

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