On Saturday, July 11, 2020 at 8:41:21 PM UTC-6, Brent wrote:
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> On 7/11/2020 4:29 PM, 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: 
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>>>>> On Wed, Jul 1, 2020 at 4:18 PM Alan Grayson <[email protected]> 
>>>>> wrote:
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>>>>>> 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:
>>>>>
>>>>> 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 
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> Are you going to say the same thing about matter?  electric charge?
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> Brent
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I'm not sure what your point is. All I was saying above is that mass/energy 
causes curvature of space-time as per the EP. A gravitational wave moving 
through empty space seems no different in principle than light moving 
through empty space. In both cases there is a mathematical solution for the 
wave motion, with the source of the wave left undefined. But every wave 
motion must has a source. AG

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