Do you still Believe Motion is absolute?
No, I don't believe that motion is absolute.
Do you still Believe Motion is absolute?
Well, the fact that there is no absolute motion is not intuitively obvious. That is why the concept of relative motion needs to be introduced.
No, I don't believe that motion is absolute.
If you don't believe motion is absolute,How can you believe All planets revolving around sun to be absolute?
Modern Concept of motion tells that motion is a combined effect of the state of object and the observer.
We Know that Galileo was punished for supporting the Heliocentric Theory instead of Geocentric Theory.
So the Motion being relative say that both theories are not equally wrong?
So still Heliocentric Theory Being followed? Isn't this theory fully correct only if the concept of absolute motion prevails?
Well, the Statement "All Inertial Systems are equivalent" means that even if we conduct experiments in any of the inertial reference frames, All experiments would yield only the same results and as a result says that all laws of physics are valid in inertial systems. It doesn't say anything more than that.Special relativity is where you find the statement that all inertial systems are equivalent, meaning that for inertial systems, one cannot say with certainty, which of two objects is moving relative to the other.
Where acceleration, other than as defined by the influence of gravity.., is involved, the accelerating object can measure or feel the inertial resistance to its changing state of motion. In this case both frames can know which is accelerating.
Math is only useful insofar as it is representative of reality. You can use math to demonstrate all sorts of things that aren't true.No. I can show you that Acceleration is relative. But i don't know how to type with Latex. So i can't show.
Acceleration is also relative.
Actually, i have carried that exercise Trying to plot the position of an object A with respect to another object B
End result after solving: in our frame object A is accelerating but in that object's(B) frame, Object A is not accelerating.
Even if you weren't wrong about acceleration being relative, the two models would not be equally valid. One model is simple and powerfully predictive while the other is extremely complicated and ad hoc, with no predictive power unless constructed in a way that reduces to newtons laws.So I stress again. Geocentric Theory And Heliocentric Theory are equally valid, Only in their own given frame of reference due to the fact that motion is relative.
Well, the Statement "All Inertial Systems are equivalent" means that even if we conduct experiments in any of the inertial reference frames, All experiments would yield only the same results and as a result says that all laws of physics are valid in inertial systems. It doesn't say anything more than that.
You used the word "certainty", "one cannot say with certainty, which of the two objects are moving".
Well, you used the word "certainty" because in your mind still the concept of absolute motion prevails.
No. Both frames can't understand which one is accelerating.
OK. "If both frames can understand which frame is accelerating", say i take earth and sun as the reference frame. Earth obviously moves around the Sun. And the Earth is accelerating.( Kepler's Second Law helps you to understand that). If Earth is accelerating,then we should know that we are accelerating. But do we feel accelerating? NO. Because Motion along with acceleration is relative.
Math is only useful insofar as it is representative of reality. You can use math to demonstrate all sorts of things that aren't true.
Even if you weren't wrong about acceleration being relative, the two models would not be equally valid. One model is simple and powerfully predictive while the other is extremely complicated and ad hoc, with no predictive power unless constructed in a way that reduces to newtons laws.
I don't believe you have sufficient information to support the portion in bold above.
That said you are wrong. Given only two objects or observers both moving with a constant velocity and no other external data, neither can say which is moving relative to the other or whether both are moving. All they can say is that they are moving relative to one another. IOW they can both say with certainty that they are moving relative to one another, but neither can say with "certainty" who is doing the moving or if both are.
I must have missed something of the earlier discussion because I have no idea how you arrived at absolute motion.
Since accelleration can both be felt and measured, as a resistance to the constant change in motion, both observes can tell who is accelerating and through a bit of math who is not! Any observer who is not accelerating would not feel or measure any acceleration. Any observer accelerating will feel and measure that acceleration. If both are accelerating, they can esily determine that the distance between them is changing at a rate differnt than suggested by their own rate of acceleration.
So if only one observer is accelerating the inertial observer will not feel or measure any acceleration and conclude that the other observer is accelerating.
In your example of earth orbiting the sun, you obviously forgot the qualification excluding acceleration due the the influence of gravity, from the general statement. Yes the earth is accelerating, in a free fall state that takes it around the sun. And no we do not feel it fall around the sun, just as we do not feel our own acceleration, toward the fround, as we jump off a cliff. (Don't try it to test it, the landing is ...)
Does that mean you believe that Motion of object executed in our reference frame is an illusion ? I got this sort of feeling when you said that Neither can we know with "certainty" who is actually doing the "moving".
And also that statement doesn't make any sense to me. The word "moving" is relative.
OnlyMe, The above paragraph is in direct contradiction with the below paragraph.
In the 1st paragraph, you said acceleration is something that can be felt.
In the 2nd paragraph, you said that earth is accelerating but it is in free fall,so we do not FEEL the acceleration. i.e acceleration that cannot be felt.
I totally agree with the 2nd paragraph.
From Equivalence principle, we can understand that acceleration is indistinguishable from gravity.
Now An observer is standing on the earth. He has a ball in his hand. Then he lets go of the ball, the ball falls down the earth with an acceleration.
Equivalence principle helps us to state that we can think the above event like this too: earth along with observer moves upwards. when the observer drops the ball,acceleration is not imparted to the ball. so Ball move with constant velocity upwards. Since the earth is accelerating, According to the observer's reference frame,ball move downwards with an acceleration.
You can see over here that ball moved with constant velocity in some other reference frame. But not in the reference frame of the observer.
So how can you think acceleration is not relative?
I didn't use the word qualitative and don't know why you think it applies.Yeah. You are right. Geocentric Theory is not qualitative. Of course Heliocentric Theory is more qualitative.
The problem is that it is just a transformation equation. It doesn't analyze the interactions causing the acceleration.I agree. In my textbook, to derive the equation of relative velocity(constant velocity),it used a method. I used the same method to prove that acceleration is relative. I don't think there is no problem with that derivation.
The modern concept is the same as Galileo's (motion is relative) plus Einstein's (length contracts and time dilates at high relative speeds).Modern Concept of motion tells that motion is a combined effect of the state of object and the observer.
The Geocentric view was that all of the objects in the sky orbited Earth. This is feasible for most objects but not all. In particular the planets pose a problem, because they move quickly enough out of their expected orbit to appear in the wrong position. To explain this a complex system of epicycles was invented to try to account for their erratic trajectory. It was never quite satisfactory, no matter how many improvements were made to it.We Know that Galileo was punished for supporting the Heliocentric Theory instead of Geocentric Theory.
No. The planets obviously do not orbit the Earth. The Geocentric view is therefore wrong. The Heliocentric view is Copernicus's correction to this. It eliminates epicycles and accounts for Galileo's discovery of the moons of Jupiter.So the Motion being relative say that both theories are not equally wrong?
It's not a theory. It's just a correction to the older incorrect beliefs that prevailed in medieval Europe.So still Heliocentric Theory Being followed?
No, it's fully correct once Kepler demonstrated the absolute rate of change of the area swept by an arc of an orbit. This is more fully proven and explained by Newton's calculus and his discovery of gravity.Isn't this theory fully correct only if the concept of absolute motion prevails?