Recent content by superkan619

Thank you algebrat. I did some copy/paste job from y answers, but its incorrect... The problem I actually had is this: My book says Integrate[xˆ2 Log[x],x] will output -(x3/9)+((x3/3)Log(x)) but I am getting x2 (-x + x Log[x]) Where have the constants gone?

indefinite integral of Log[x] comes out to be -x + x Log[x] but, the general solution should be x ln(x)+C Such things also occur when using DSolve command to solve differential equations. Please help!

The accelerometer mechanism is actually functioning in the frame of reference of the object itself. So, its zero reading doesn't shows us that it was in inertial motion (for us). I've concluded that Altabeh's argument was right. The local flatness theorem holds only for infitesimal regions in...

Squared amplitude of the Electric field in an electromagnetic wave gives the intensity of the wave at that point i.e a measure of concentration of the substance which is waving in the wave. In the modern quantum sense, this also means the probability density of finding the photon at that point...

This means that an accelerometer at rest gives the value of g at that point and a falling accelerometer records zero acceleration. I think it is a better and intuitive answer to my question.

Creative people tend to be nocturnal. Night time is the best time for unobstructed thinking. I remember a quotation about this- "All the great theorems were discovered after midnight". Recently, I read about the great musician-composer A.R Rehman and found that he has adapted himself to work...

Any objections to this?

My stress is on the fact that the observing frame is on Earth; I think its not necessary for the observed one to be designated as either an object or a reference frame as long as we're outside. I actually thought of it as an object.

Is it safe now to tell that a very small particle in free fall, undergoing translational acceleration (in the kinematic sense) over a very long distance is actually an inertial frame for people on a perfectly still Earth?

In the train frame, every body moves with same velocity in forward direction. As the relative velocity among the man, train, ball is zero before releasing, they appear to be at rest w.r.t each other. When the ball is just released, it continues to possesses the forward velocity, which doesn't...

This part of the sentence has enlightened my knowledge. No matter what context it is being spoken in, it encodes a fundamental thing. My laymen brain had reached a clogging point before I encountered this. Thanks Jonathan, Thanks Altabeh.

Please clarify the difference in opinions As far as the lift-gravity experiment is concerned, the falling(to be assumed hereafter as non-rotating) frame feels inertial from inside. It is undoubtedly true. But, when looked from outside by some one on a perfectly-still-Earth, I "feel"...

I never said that gravitational field changed the frequency. I was just referring to it as the vicinity of the gravitating object. Thank you Altabeh for pointing it out.

Second question has been resolved Does the frequency change of a photon at a point in the gravitational field depends upon its initial position of emission?

Does this means that the time-dilation factor is fixed for every location in gravitational field regardless of the history of the photon? I thought the time dilation factor was true only for photons from infinity.