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ComputerGeek
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Since time is variable, how do you measure its velocity and acceleration?
seconds per ?
seconds per ?
Danger said:I get the impression, Comp, that you're thinking of time as a physical object of some kind, and are confused about relativistic time dilation due to gravity or velocity. Time is just Nature's way of keeping everything from happening at once. It has no intrinsic physical properties such as velocity or acceleration.
ComputerGeek said:if it is a dimension in the universe than vectors exist in it and those vectors have slope.
ZapperZ said:Er... vectors have slope?!
Zz.
El Hombre Invisible said:Do you mean an angle?
ComputerGeek said:I should have said the graphs of vectors have slope which as we all know correspond to rates of change. but please, you cannot really believe that is not what I was referring to.
ZapperZ said:OK, but you do know that I can easily plot scalars, instead of vectors, and still get slopes from that too, don't you? Look at the gradient of a potential field, which is a field of scalars.
Your original question is confusing because you're asking about a "velocity", which is the time rate of change of TIME, of a quantity that is used to DEFINE the word "time". You don't do that when you ask for a velocity of an object, because the object itself is not the definition of the quantity being measured. The ball doesn't affect the definition of "time" and "displacement or space". The ball may had a change of displacement over a time, but it doesn't affect the definition of those two quantities. In other words, the ball is inside this "frame" called space-time. Your question essentially asked the "time rate of change of time".
Unless you wish to clearly define such a thing, then there's a potential of tripping over oneself in cases like this.
Zz.
No, because velocity is a rate of change, it is the 'slope' (i.e. gradient function) of the thing that it is the rate of change of. In short, at time t, v(t) is the gradient of the tangent of s(t) (displacement) at that time.ComputerGeek said:if you plot a velocity vector as a rate of change, that rate of change will have a slope.
A vector comprises of two perpendicular components. Time is 1-dimensional. So how can you describe something in 1 dimension as a vector? Furthermore, just because velocity is a rate of change and velocity is a vector, is does not mean all vectors are the rate of change of something. Position, for instance, is not the rate of change of anything, but can be described as a vector.ComputerGeek said:since time is a dimension, vectors exist in it, since vectors exist in it, you must be able to plot them as a rate of change, even if it is constant.
s/s = 1, so the rate of change of time is unitless. Moreover, since the rate of change of time is t/t, the value is always 1 so it is not a variable.ComputerGeek said:so, there is some ratio for the description of the rate of change. I was curious as to what it was.
is it simply a ratio of seconds/second?
If you mean the rate of change of a clock from someone else's reference frame (t'/t), then this is essentially a scale and so is, again, unitless.ComputerGeek said:so if all measurements were taken from our standard earthly perspective, time near a massive body would slow to say 1 second/2 seconds, etc.
El Hombre Invisible said:No, because velocity is a rate of change, it is the 'slope' (i.e. gradient function) of the thing that it is the rate of change of. In short, at time t, v(t) is the gradient of the tangent of s(t) (displacement) at that time.
A vector comprises of two perpendicular components. Time is 1-dimensional. So how can you describe something in 1 dimension as a vector? Furthermore, just because velocity is a rate of change and velocity is a vector, is does not mean all vectors are the rate of change of something. Position, for instance, is not the rate of change of anything, but can be described as a vector.
s/s = 1, so the rate of change of time is unitless. Moreover, since the rate of change of time is t/t, the value is always 1 so it is not a variable.
If you mean the rate of change of a clock from someone else's reference frame (t'/t), then this is essentially a scale and so is, again, unitless.
ComputerGeek said:Yes, I realize that. I should have quoted "velocity" so that you knew to take it metaphorically rather than literally.
ZapperZ said:Then you're using the word to mean something else. It is then imperative that you DEFINE what is a metaphorical velocity.
Keep in mind that in physics, EVERY principle and ideas have clear underlying mathematical description. You can't use the word "velocity" in any form or shape that you wish, and neither can the rest of us. If not, you can already imagine the major confusion being created.
Zz.
ComputerGeek said:yes yes, I understand all that... I was just having a difficult time describing the relationship and I should make sure I am more clear when I am in analogy mode. :-)
Time velocity is the rate at which time passes. It is a measure of the speed at which events occur or change over a period of time.
Time velocity is measured using a unit of time, such as seconds, minutes, or hours. It can also be measured in terms of distance traveled per unit of time, such as meters per second or miles per hour.
Several factors can affect time velocity, including the speed of an object, the force acting on an object, and the location of an object in space. Additionally, time velocity can be affected by the presence of gravitational forces or the curvature of space-time.
Einstein's theory of relativity states that time is relative and can be affected by factors such as gravity, velocity, and acceleration. Time velocity is a key component of this theory, as it explains how time can be perceived differently by different observers depending on their relative velocities and positions.
While we cannot physically manipulate time itself, we can manipulate the factors that affect time velocity. For example, we can change the speed or location of an object, which will in turn affect its time velocity. However, due to the fundamental laws of physics, time velocity always remains constant in a given frame of reference.