Effective
Speed of Light
The expansion of the universe is causing light en route to be dragged away from us. This makes observers to see distant inbound light at effective speeds less than 299792.458 km/sec and to see distant outbound light at effective speeds greater than 299792.458 km/sec. However every non-accelerating observer measures the speed of light locally (in his location) at 299792.458 km/sec in any direction.
Scientists just confirmed the existence of "Dark
Energy",
a mysterious repulsive force that acts in opposite to gravity. As the
distance increases, the attractive gravitational force decreases but this
mysterious repulsive force increases. This repulsive force is pushing
galaxies apart; the greater the distance the greater the repulsion.
Scientists today do not know what this "Dark Energy" is, but they know that
it is causing the entire universe to expand at an increasing rate.
For the first 7 bln years after the big bang the expansion of the universe
slowed down because the attractive gravitational forces were stronger than
this repulsive force. However as the distances between the galaxies
increased the attractive gravitational forces weakened while this repulsive
force became dominant. This made the expansion of the universe to enter an
accelerating phase:
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Do you remember how a rose opens up? That is, the outer petals move outwards more than the inner petals? Imagine that those petals have galaxies on them and that we are at the center of the rose. Now imagine this rose opening up; the farther out the petals are the faster their recession away from the center (where we are). Well this is exactly how the universe expands around us; the farther galaxies are from us the faster their recession away from us.
Do you remember how an ambulance siren sounds like when it approaches you?
And how it sounds like when it recedes from you? The sound pitch changes, right? Similarly when a light source approaches you or
recedes from you its colors change. If it is approaching you the colors shift towards the blue, and if it is receding from you its colors shift
towards the red. Today we know that galaxies are rushing away
from us from redshifting of their light. The more distant galaxies are the more
reddish their colors appear to us. This means that the farther galaxies are the faster they are receding from us (like a rose).
All observers anywhere in the universe also see the
universe expanding away from them the same way (like a rose). Hence everyone
in the universe thinks that he is at the center of the Big Bang!!! This is because the
Big Bang did not have a center. See, if you continue walking on Earth in
the same direction you will circle Earth and eventually come back to where
you started; right? Similarly when you continue traveling through the
universe in the same direction you might come back to where you started; we
still don't know this for sure. But what we are sure of is that every observer in the universe thinks that he is at the center of the
Big Bang; every observer in the universe sees the universe expanding away from him like a rose.
The future of the universe has three possible scenarios depending on this dark energy:
The first scenario is if this dark
energy is constant over time; then the expansion of the universe
would continue accelerating forever. |
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Today we can observe galaxies 13 billion years old,
that is, light already traveled 13 billion years before it reached us.
If the universe were not expanding
then light from those galaxies would have only needed 13 million years to reach us (ratio of distances might be 1000 times).
For an observer on Earth the effective displacement of light is different than the total distance traveled by
light (different than 13 billion years
multiplied by 299792.458 km/sec). This is because the expansion of the universe is causing inbound light to be dragged away from us en route.
When those distant galaxies (13 billion light years away) first emitted this light they were receding from us at speeds
greater than 299792.458 km/sec (faster than our local speed of light). However the expansion of the universe slowed down for the
first 7 billion years. This gave light a chance to approach Earth.
However the expansion of the universe has been accelerating for the last 7 billion years. This made those
galaxies to recede away from us today at speeds again greater than 299792.458 km/sec. We are sure that
galaxies 13 billion light years away today have recessional speeds greater than our local speed of light. If the universe continues to expand
forever (first two scenarios) then light emitted today from those galaxies will not reach us in the future anymore (they will disappear from our sight).
No observer anywhere in the universe feels any acceleration because this Dark Energy is causing spacetime itself to expand.
This Dark Energy is creating space
everywhere each second. If this created space each second between a certain point and Earth measures more than 299792.458 km
then light from that point traveling at 299792.458 km/sec can never reach Earth. An observer today 13 billion light years away sees light locally (at his location)
to travel towards Earth at 299792.458 km/sec, however this light will never reach Earth. This distant light heading towards us is
actually being displaced away from us (negative effective speed).
The expansion of the universe causes observers to see distant inbound light at effective speeds less than 299792.458 km/sec
and to see distant outbound light at effective speeds greater than 299792.458 km/sec. However every non-accelerating
observer measures the speed of light locally (in his location) at 299792.458 km/sec in any direction.
Since the effective speed of light varies with distance and direction then this means that if the local speed of light (or the local speed of any object) were defined in km/sec then this definition will be wrong for distant observers. By using classical orbital mechanics we discovered that outside the gravitational field of the sun 12000 Lunar Orbits/Earth Day becomes equivalent to our local speed of light. This definition will never be wrong to any distant observer because 12000 Lunar Orbits/Earth Day is independent of direction, co-moving with the expanding universe and common to all observers. It also turned out to be a constant forever (Learn more).
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