On Saturday, July 11, 2020 at 5:29:03 PM UTC-6, Alan Grayson wrote:
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> On Saturday, July 11, 2020 at 5:05:02 PM UTC-6, Brent wrote:
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>> On 7/11/2020 12:54 AM, Alan Grayson wrote:
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>> On Tuesday, July 7, 2020 at 10:06:44 PM UTC-6, Alan Grayson wrote: 
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>>> On Tuesday, July 7, 2020 at 8:50:50 PM UTC-6, Alan Grayson wrote: 
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>>>> On Tuesday, July 7, 2020 at 8:05:28 PM UTC-6, Bruce wrote: 
>>>>>
>>>>> On Wed, Jul 1, 2020 at 4:18 PM Alan Grayson <[email protected]> 
>>>>> wrote:
>>>>>
>>>>>> How, exactly, is the Principle of Equivalence used by Einstein to 
>>>>>> develop GR? TIA, AG
>>>>>>
>>>>>
>>>>>
>>>>> This lecture by Sean Carroll should answer all your questions:
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>>>>> URL: https://wp.me/p2WMeM-3vl
>>>>>
>>>>> Bruce
>>>>>
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>>>> I'll watch it tonight, but I think I've figured it out; specifically, 
>>>> the EP implies space-time is curved by the presence of mass/energy (and 
>>>> this is independent of the need to express the laws of physics in a 
>>>> coordinate independent way via tensors). AG
>>>>
>>>
>>> Here's my reasoning regarding the EP; if an observer is in a box subject 
>>> to uniform acceleration, a beam of light starting on the extreme left side 
>>> (moving transverse or perpendicular to the acceleration vector), will hit a 
>>> lower point on the right side, showing that uniform acceleration results in 
>>> curved paths in space-time. But if this result is identical to gravity, 
>>> locally, it means that curved paths in space-time are produced by, or are 
>>> equivalent to gravity. 
>>>
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>> That makes no sense.  You're saying that because curved paths can be 
>> produced two different ways then they must always be produced the second 
>> way.
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>> BUT gravity is only observed in the presence of mass/energy. ERGO, the EP 
>>> implies mass/energy curves space-time. AG 
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>> And that's not even true.  Gravitational waves can propagate thru the 
>> vacuum.  The Schwarzschild solution is for empty space.  De Sitter space is 
>> an empty cosmos.
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> Light can propagate through empty space, but it can't arise from nothing. 
> Same presumably for gravitational waves. AG 
>

In a universe with no matter or energy, aren't we back to SR where there's 
no curvature and light travels in a straight line? So the gravitational 
waves you refer to don't take curved paths. AG
 

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>> Brent
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>> For Bruce; so far I've gotten about two-thirds through Carroll's video. 
>> Will complete it this weekend. I sense a flaw in GR, suggested by the 
>> inclusion of G, the gravitational constant. How can a constant inferred 
>> from an approximate theory of gravity, Newton's Theory of Gravitation, be 
>> included in a presumed perfect theory of gravity, General Relativity? Don't 
>> you think something very subtle is awry here? AG
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