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Groups > sci.physics.relativity > #479483
| From | Thomas 'PointedEars' Lahn <PointedEars@web.de> |
|---|---|
| Newsgroups | sci.physics.relativity |
| Subject | Re: [OT] Work |
| Date | 2018-12-09 18:58 +0100 |
| Organization | PointedEars Software (PES) |
| Message-ID | <690d87ec-6dfd-d3d3-4b3e-e90a5e548ce1@PointedEars.de> (permalink) |
| References | (5 earlier) <g71to8Fu610U1@mid.individual.net> <ba8a0893-273e-4603-9475-fb9670af888f@googlegroups.com> <g72e6eF37k1U1@mid.individual.net> <47170707-5c52-d0ca-be3a-b7c206f426b9@PointedEars.de> <g7541bFl5lhU1@mid.individual.net> |
Thomas Heger wrote:
> Am 08.12.2018 um 21:53 schrieb Thomas 'PointedEars' Lahn:
>> Thomas Heger wrote:
>>> Distance is not about me or you. 'Distance' has a certain meaning
>>
>> It has several:
>>
>> <https://en.wikipedia.org/wiki/Distance>
>
> Quote:
>
> "Both distance and displacement measure the movement of an object.
> Distance cannot be negative, and never decreases. Distance is a scalar
> quantity, or a magnitude. "
Once again you have not been reading comprehensively, in context.
The text that you are quoting refers to *Euclidean* space.
> So, essentially Wikipedia says the same as I said.
No, it does not. You have to read in context.
To give you pause: The distance between two events in MINKOWSKI SPACE(TIME)
– which you claim to know and repeatedly stated to be the truth (over
special relativity, because you do not understand the connection between
them) –, which is given by
∆s² = c²∆t² − ∆x² − ∆y² − ∆z²,
can actually be negative. We then call the events that are separated in
this way “spacelike-separated”, and the interval between them “spacelike”.
For example, in units where c = 1, the events
e₁ = (0, 1, 2, 3)
and
e₂ = (0, 2, 3, 4)
are spacelike-separated because
∆s² = ∆t² − ∆x² − ∆y² − ∆z²
= (0 − 0)² − (2 − 1)² − (3 − 2)² − (4 − 3)²
= 0 − 1 − 1 − 1
= −3 < 0.
[One can see this by calculating the spatial distance between them.
It is
√(∆x² + ∆y² + ∆z²) = √((2 − 1)² + (3 − 2)² + (4 − 3)²) = √3 ≈ 1.73
But t(e₁) = t(e₂) here, so one would have to get instantaneously from
one place to another, which means by infinite speed, which is certainly
larger than the speed of light, c.]
<https://en.wikipedia.org/wiki/Minkowski_space>
The Minkowski metric is indefinite. In general, distances can be negative
with any metric that is not positive-definite.
<https://en.wikipedia.org/wiki/Definite_quadratic_form>
> [misconceptions]
--
PointedEars
Twitter: @PointedEars2
Please do not cc me. / Bitte keine Kopien per E-Mail.
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