Time dilation
What I'm getting at is , we are standing still on the planet , but the earth , sun and galaxy and the local group of galaxies are moving.
Space time adjusts to keep the speed of light constant . Eg , 1 second on the surface of the earth is different to 1 second on a satellite , because of the speed the satellite is moving.
So how long would a second be if we were not moving at all ?
I don't know what the guy above me is getting at but let me answer the question myself anyway.
The problem with your question is the premise, "not moving at all". Special relativity tells us that there is in fact no such thing as absolute motion, only motion relative to other objects. So when you say 'not moving at all', you have to say with respect to what!
So you will have to rephrase your question in order to get a true answer.
The question of smiffy is easy. He is asking how much is our time slowed due to the relative movement towards "Great Attractor" , which has recently been revised to "Dark fllow", because the mass of Great Attractor seems to be only 10% of needed mass to make such huge gravitational attraction.
The time is in fact going to pass slower , but the velocity of our movement is relatively low compared to the speed of light only artound 0.2%. To have some measurable effect the velocicy should be at least 10%, but real effects would be impot=rtant for the velocities near the speed of light , say 90 to 99%.
Thx ninoak , I get it now . So it's about 10% slower ,meaning that if you live to the age of 100, then compared to someone the same age on earth , you would live to 110 in earth years as time is clicking that little bit less.
Thx nytik, I realise that movement has to be compared to another object , meaning absolute stillness is impossible , unless the entire universe stops moving
With everything in the universe moving , I guess we measure our planet/solar system/ galaxy to other objects in space to determine our velocity through space.
No. There is no specific speed through space. To put it another way, space-time is invariant under local Lorentz transforms.
So the earth goes round the sun , sun round galaxy and the galaxy is moving at some 600km/s relative to the CMB.
So , we are travelling at a tremendous speed.
If humans ever managed to leave our galaxy and got into a position where we were under minimal influence from other objects. How would this effect our life span as time on earth would be different ?
What I'm getting at is , if we were not moving , then would we live longer or shorter.
Speed through space being arbitrary, it cannot affect lifetime as measured by a local clock. What you may be confusing this with is when a clock in one frame is used to measure times in another that is moving at some speed relative to the first one. Then there is time dilation. These effects have been very precisely verified.
I'm pretty sure GPS corrections rely on general relativity (difference of gravitational force between Earth's surface and the satellite's positions) as opposed to special relativity which I'd imagine provides a negligible effect.
The basic version (that is adequate for a working GPS) is not a difficult calculation (I've done it here in the open forum and it would fit on a postcard). The special relativistic correction is opposite to the general relativistic one but they don't cancel.
I can describe the GR part of the calculation in a way that will allow you to complete the calculation:
It works like this. To find the GR time dilation between two points in a static gravitational field, first work out the ratio of the difference in potential energy to mass (using mc^2 for mass of course). This ratio is the time dilation factor to first order (it's a number small compared to 1 for most problems).
For a small height h, the difference in potential energy is simply mgh, but for a larger height (eg surface of Earth to high orbit) you need to be a bit careful, as g changes with distance).
Can you get there by combining that with the SR correction? [For such small corrections, its all linear, which is why the calculation is easy].
With everything in the universe moving , I guess we measure our planet/solar system/ galaxy to other objects in space to determine our velocity through space.
So the earth goes round the sun , sun round galaxy and the galaxy is moving at some 600km/s relative to the CMB.
So , we are travelling at a tremendous speed.
If humans ever managed to leave our galaxy and got into a position where we were under minimal influence from other objects. How would this effect our life span as time on earth would be different ?
What I'm getting at is , if we were not moving , then would we live longer or shorter.