On Saturday, June 14, 2025 at 6:13:47 AM UTC-6 John Clark wrote:

On Fri, Jun 13, 2025 at 11:01 PM Alan Grayson <[email protected]> wrote:

*>>> GR has many unexplained postulates,*



*>> Many? General Relativity only has 3 postulates:*

*1) The speed of light is constant for all observers.*


*2) Gravitational mass and inertial mass are equivalent.*

*3) Equations expressing physical laws should say the same thing regardless 
of what coordinate system is used to describe 4D spacetime, even 
accelerating or rotating ones. *


*> And bodies in free fall, move along geodesic paths;*


*That fact is a logical consequence of the Equivalence Principle, which is 
the third postulate in the above. So no additional postulate is required. *


Logical consequence? How so? AG 

 

*> and matter/energy causes spacetime curvature. AG *


*The Equivalence Principle (postulate #3) says in effect that gravity is 
the curvature of 4D spacetime, and if gravitational mass and inertial mass 
are equivalent (postulate #2) then the logical conclusion is that matter 
causes spacetime to curve. **So no additional postulate is required.*


See above comment. Can you prove your logical conclusion?  AG


*>> if you're willing to tolerate a little inaccuracy and wanted to say the 
same thing more poetically you could say it only has one postulate. "matter 
tells spacetime how to curve". *


*> How does matter do that? AG*


*The 4D shape of the resulting spacetime is determined by how the 
matter/energy is distributed, and its precise shape can be calculated with 
Einstein Field Equations, which uses 4D non-Euclidean tensor calculus. *


What's obviously lacking is a physical mechanism to get to your conclusion. 
AG 

 

*>> "Spacetime tells matter how to move" comes from the definition of 
spacetime. *


*> From a definition we get motion?*


*Obviously. If motion doesn't mean a change in spatial coordinates with 
respect to time then what does "motion" mean?  Newton could explain what 
gravity does (if things are not moving too fast and gravity is not too 
strong) but he admitted that he did not know what gravity was: *

 * "I have not been able to discover the cause of those properties of 
gravity from phenomena, and I frame no hypotheses"*


*But Einstein knew, gravity is the curvature of 4D spacetime in 
non-Euclidean geometry. *
 

*>>> Consider the muon. Why does applying the LT cause its half-life to 
dilate?*


*>>The same exact reason relative velocity causes ANY clock to slow down, 
the speed of light is constant for all observers.*


You're missing the point; namely, that the clock in frame being observed 
does NOT slow down. In what frame is the clock you allege is slowing down?  
AG 



*> Firstly, you have no clue about the form of a muon's clock.*


*Our ancestors didn't know why the sun moved in the sky but that didn't 
prevent them from using the sun as a clock, and I don't know the exact 
mechanism the muon uses to keep time, but I don't need to know because I 
know for a fact that I can use muons to make a clock. And time is what a 
clock measures.   *


What you claim you don't need to know, is what in fact you DO need to know, 
if your theory is to be complete. AG 

 

*>>And time is what a clock measures.  *


*> So if there's no clock able to be defined, does this mean time ceases to 
exist?*


*Yes exactly. If it was impossible to make a clock, if nothing occurred in 
a periodic manner, then the concept of time would be meaningless. *


A clock doesn't have to be periodic. It can be linear. It just needs to 
assign a unique real number to each event being  observed. AG
 

*That's why people say when the universe reaches thermal equilibrium 
(a.k.a. the heat death of the universe) nothing would be periodic and so 
time would come to an end.  *

*And do you have a better definition of time than "what a clock 
measures"? I don't. *


Sure; time is caused by the existence of observed events. No events. No 
time. Nothing to do with clocks, AG 

 

*> You can't define the form of a muon's clock,*


*As I said I don't know what the muon's internal clock mechanism looks 
like, but I do know that whatever mechanism it uses it's accurate. And 
that's all I need to know. *
 

*> you think the postulates of GR are the final answer to the mystery of 
gravity. AG  *


*Bullshit! Even Einstein didn't think that, and I doubt if a single living 
physicist thinks that either!*


Insofar as you defend the Gospel, and vehemently I might add, although at 
some level you don't think GR is the end of the road, but emotionally you 
do. AG 


*John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>*
8f/


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