Was I "trolling" when I told you about the Tao? You might be among the 
third type of man mentioned, laughing when you have zero contact with the 
Tao. As for spacetime as a vector space, maybe you deny it in the context 
of a private language, which is often a problem when conversing with 
"experts". AG

On Saturday, September 7, 2024 at 1:11:55 AM UTC-6 Alan Grayson wrote:

> I just googled "Is spacetime a vector space?", and the results were 
> uniformly *positive*. So, I think you should be grateful for my 
> "trolling", since it yielded a truth you should cherish! AG
>
> On Friday, September 6, 2024 at 5:38:57 PM UTC-6 Alan Grayson wrote:
>
>> The set of all such components satisfies the rules of a vector space, so 
>> it sure seems like a vector space! I seriously doubt that this *specific* 
>> question is covered in your *huge *reference. BTW, since when is asking 
>> a question "trolling"? Maybe you need to consult a dictionary? AG
>>
>> On Friday, September 6, 2024 at 2:24:05 PM UTC-6 Brent Meeker wrote:
>>
>>> It's not a "vector space", it's just a representation of one component 
>>> of a vector space.  Something you could have learned by a quick internet 
>>> search or picking up a text book, instead of trolling this email group.
>>>
>>> Brent
>>>
>>>
>>>
>>> On 9/6/2024 12:26 PM, Alan Grayson wrote:
>>>
>>> What exactly is your point? AG
>>>
>>> On Friday, September 6, 2024 at 12:51:23 PM UTC-6 Brent Meeker wrote:
>>>
>>>> That's a representation of a vector in 4-space in a certain coordinate 
>>>> system.
>>>>
>>>> Brent
>>>>
>>>>
>>>>
>>>> On 9/6/2024 1:03 AM, Alan Grayson wrote:
>>>>
>>>> Do the 4-tuple labels on spacetime, (ct, x, y, z), form a vector space? 
>>>> I was told on good authority that the answer is negative, but now I have 
>>>> grave doubts of that conclusion. AG -- 
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>>>>  
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>>>> .
>>>>
>>>>
>>>> -- 
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