/sci/ - Science & Math » Thread #11092460

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Anonymous Sat 26 Oct 07:50:08 2019 No.11092460 View Reply Original Report

Quoted By: >>11092466 >>11095084

Given enough time and brainpower, it is possible to deduce newtonian mechanics from three frames of a short clip of a falling object.
What is the minimum you would need to deduce general relativity?

Anonymous

Anonymous Sat 26 Oct 2019 07:59:06 No.11092466 Report

Quoted By: >>11092469

>>11092460
>it is possible to deduce newtonian mechanics from three frames of a short clip of a falling object
It's not. For any finite set of data points you can find infinite functions that fit it.

Anonymous

Anonymous Sat 26 Oct 2019 08:02:55 No.11092469 Report

Quoted By: >>11092472

>>11092466
What if you assume that the simplest explanation is the correct one?
>I assume op timestamps his frames

Anonymous

Anonymous Sat 26 Oct 2019 08:07:30 No.11092472 Report

Quoted By: >>11092489

>>11092469
Is Newton's mechanics really the simplest explanation?
Explain how the existence of gravity and actio=reactio is simpler then simply assuming that all objects fall in the same direction without interacting with each other.

Anonymous

Anonymous Sat 26 Oct 2019 08:19:32 No.11092489 Report

Quoted By: >>11094524

>>11092472
Since 3 data points interpolate to a parabola, you will definitely conclude the law of gravity (on earth) by assuming simplest explanation. Everything else is really just too complicated and depends on too many variables.

Anonymous

Anonymous Sun 27 Oct 2019 01:05:09 No.11094524 Report

Quoted By:

>>11092489
If you have a guarantee that the three frames are from equally time-separated slices of a fixed two dimensional view of a three dimensional space with moving objects then there are two simplest explanations:
Either the object is accelerating under it's own power or the object is accelerating due to a force that causes action at a distance.

Anonymous

Anonymous Sun 27 Oct 2019 05:25:53 No.11095084 Report

Quoted By: >>11096386

>>11092460
We know the acceleration due to gravity is close to an inverse square C/r^2. But we are dealing with the earth, so call the radius of the earth R_e, and d the distance the apple is going to travel in 3 frames.

$a = C/(R_e + d)^2$

Now, d is maybe a millimetre or so- much smaller than the radius of the earth, so we Taylor expand

$a = {C \over R_e^2}(1-2d/R_e)$
so that important d/R_e first order effect is maybe ~10^-8. This is already right around the wavelength of visible light. No way to even see it with a webcam. The best you can do is constant acceleration.

Anonymous

Anonymous Sun 27 Oct 2019 17:34:41 No.11096386 Report

Quoted By:

>>11095084
>apple

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