Relationships between advanced mathematics and the application of theortical physics

[Demoguy]

Hi,

Could fourier transforms be used to analyze waves in a given area of space, and, given one is in an observable part of the universe, use the shift and amplitude to accurately ascertain location in all four dimensions?

Demoguy

[Strange]

As long as you knew the original amplitude and/or phase. 

In fact, there are were navigation systems that work like this: https://en.wikipedia.org/wiki/Loran-C

[Demoguy]

Given the rate and helical nature of universal expansion do you think that, given enough reference points, this could provide the basis for a location process that would allow a place to be located not just in space but also time?

Bit weird I know but theoretically...

Edited March 11, 2018 by Demoguy
spelling

[Strange]

2 minutes ago, Demoguy said:

Given the rate and helical nature of universal expansion do you think that, given enough reference points, this could provide the basis for a location process that would allow a place to be located not just in space but also time?

Not quite sure what you are asking. It is probably simpler to just use triangulation to find your location relative to planets, stars or galaxies (depending on the scale you are considering). And your local time is not the same as anyone else, so you would just use whatever time standard you like.

But are you thinking there is some sort of "absolute" location and time that could be identified?

Also, I don't know what you mean by 'helical'. Expansion is linear.

Edited March 11, 2018 by Strange

[Demoguy]

1 minute ago, Strange said:

I don't know what you mean by 'helical'. Expansion is linear.

 

My apologies, I will try to elucidate.

All movement in our reality is helical and has chirality.

youtube.com/watch?v=0jHsq36_NTU

This obviously makes locating a point in time and space very difficult.

As far as I am aware this chiral nature is congruent with QM, is this incorrect?

[Strange]

20 minutes ago, Demoguy said:

All movement in our reality is helical and has chirality.

Movement would only be helical if a constantly changing force was applied .In the absence of an external force, motion would be linear.

That video is nonsense.

https://astrorhysy.blogspot.it/2013/12/and-yet-it-moves-but-not-like-that.html

http://goodmath.scientopia.org/2013/01/22/vortex-garbage/

https://www.universetoday.com/107322/is-the-solar-system-really-a-vortex/

https://xkcd.com/1964/

[Demoguy]

Apologies, I will try to be more accurate in my use of references.

Given that the solar system moves through space and time at a given rate of expansion, with the planets constantly changing location in their spiraling around the sun, and given that the movement of the solar system through space is linear.

Allowing for enough reference points, could a great enough measurable fractional shift in the amplitude and phase of wave characteristics be detected using analysis of the fourier transform to pinpoint a location not just in space but also in time?

[Strange]

17 minutes ago, Demoguy said:

pinpoint a location not just in space but also in time?

Location relative to what?

For example, if you are interested in the location of the Earth relative to the Sun, then the movement of the Sun round the galaxy is irrelevant.

If you are interested in the location of the Earth in the galaxy, then the movement of the Sun round the galaxy becomes important bu the movement of the galaxy in our local cluster is not.

And so on.

And expansion of space only become relevant if you are calculating the position of Earth relative to some very, very distant galaxies.

[studiot]

As I understand the use of Fourier transforms in the Loran system it is not to directly establish the position, but to perform a spectral analysis on the received signal to remove error producing changes.

A modern development is to use the loran chain as a sort of radar, whereby the low intensity reflected signal is Fourier processed to separate it from the main transmitted one (which is discarded).

However both uses rely on the positions of the transmitting chain to be known in relation to some pre existing grid.

Demoguy you original post seems to be asking if you can generate some sort of absolute coordinate system, in defiance of relativity.

I hope this is not the case.