Repost of a thread that was not deleted by admins
You
won't find the term "gamma velocity" (Yv) in any
relativity text but I think it should be because it clears up many
misconceptions about relativity. The popular idea that nothing can
travel faster than light needs clarification and that's where Yv
comes in. It's all about perspective. There is no time dilation or
length contraction within your own timeframe, those only exist
when each reference frame perceives the other. Any velocity
outside your own is a vector through spacetime with a component
through space and another through time.
We
can only perceive the component through space as velocity and that
component is limited by the speed of light. As a spaceship goes
closer and closer to the speed of light, more and more percentage
of its velocity vector goes into the time dimension as slowed time
but not slowed velocity. This is an important distinction that
confuses many into thinking that if time is slowing then velocity
must be slowing as well. But how can we reconcile the ship's great
velocity and relativity's call that time must be slowing to near
zero for the ship?
Well,
our time must be relatively flowing at a near infinitely fast rate
as seen by that ship even though, from our perspective, we see
time ticking for us at its normal rate. As we look up at the ship
going near c, generations of us would be turning to dust watching
it. Our rapidly flowing time is compensating and masking the
ship's outward slow time.
We
only see velocity v through space but the ship is actually going
Yv through spacetime (where Y=1/sqrt(1-v2/c2)). If a ship could
reach near c, a normal time rate would be passing within the ship
from the ship's perspective, but outside the ship we would be
aging rapidly and we would see people inside the ship aging very
slowly.
This
aging imbalance is how the unseen velocity component through the
time dimension manifests itself and how the people within the ship
would age very little in their timeframe in a trip across the
universe. We, on the other hand, would not survive their journey;
we'd be long dead by the time they returned. From our perspective,
they never exceeded the speed of light because if they traveled a
distance of a million light years, it took a million of our years
for them to do it.
From
their perspective, they never exceeded the speed of light, despite
the huge distance they traveled in very little of their time,
because their time is basically suspended even though it runs at
normal rate from their perspective. They traveled those great
distances, frozen in time, as though they were in suspended
animation from our perspective.
The
light that began with them at the start of their journey would
beat them to the finish line. Even though we may have seen them
moving very slowly within the ship (if they ran from side to side
within the ship we'd see them run at normal speed because there is
little relative velocity in that direction so no time dilation
just as there is no length contraction), both we and they would
see any lights turned on within the ship propagating at full light
speed, unaffected by the slow time. Why? Why is energy not subject
to the effects of relativity the same way matter is?
This
phenomenon does not happen to light itself because it has no
velocity component in the time dimension, it travels at full light
speed through space only. The popular idea that light travels the
universe instantaneously because it sees the universe length
contracted to zero is completely false. The photon does not
materialize simultaneously at both its source and destination, it
takes exactly as long to travel from its perspective as from our
perspective because no time dilation is involved.
None
of the light speed vector appears in the time dimension. If light
followed the same rules as matter, its frequency would appear
stopped at zero from our perspective. Frequency is no different
than ticks of a clock and if time was slowing it should manifest
itself as slowed frequency. But it's not, we can measure its speed
and frequency in the space dimension which is accessible to us.
We
can even capture Raskar photographs of light propagating and there
is absolutely no length contraction seen in light pulses. I don't
know why there is this sharp difference between how energy waves
propagate and how particles propagate, why is travel through the
time dimension not allowed for energy? The answer to this question
would shed quite a light on the nature of spacetime except that no
one bothers to ask this question.
In
another section I'll show how Yv negates the concepts of
relativistic mass and length contraction both of which people
consider real. I'll also define what "real" is.