On Saturday, July 11, 2020 at 9:49:31 PM UTC-6, Brent wrote:
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> On 7/11/2020 8:07 PM, Alan Grayson wrote:
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> 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
>>>>>>
>>>>>
>>>>> 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. 
>>>>
>>>
>>> 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 
>>>>
>>>
>>> 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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> And every source must have an origin?  There is nothing in the equations 
> that says there must be a source.
>
> Brent
>

Can EM waves exist if there are no charges and currents? If you affirm, has 
this ever been observed? This result, if it is a result, is likely an 
artifact of the mathematics which has no basis in physical reality. Anyway, 
are you claiming that spacetime curvature can exist in the absence of 
matter/energy? Is this what the EP says? AG 

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