Ashish

Yes timo I agree with you that in 1D motion there is little bit information. Ok then have a look once more, the parametric equation of circle ( x^x + y^y = r^r) is given by x = r cos(t) y = r sin(t) where parameter comes to be as an angle drawn by x-axis to radius measured in counter-clockwise direction. So that makes a sense that the variable t or parameter is there. but in case with helix, projectile motion, or any 3D motion there isn't any variable or parameter that can be observed. My problem is that why cant be embed them in one. or its just to show how the value of one variable varies. or in other words in my views time should not be taken as another dimension as its always there.

thanks for showing interest but be little more comprehensive

From past few days I've been studying Electromagnetic Field Theory by Sadiku. As electromagnetic field theory requires knowledge of vector calculus so while studying I came to struck up with a problem which is related to parametric equation, which is also related to motion in one dimension to two and three dimensions. So let me explain my doubt Take a look at figure: Below is the graph for position vs time here in above graph what we really show is that how a position of an object or particle varies with respect to time. In other words position is a function of time. so if "x" is used for position and "t" for time then x(t) = f(t); some function Now have a look at below figure its a projectile motion (motion in two dimensions) and now for motion in three dimensions here are two figure shown below In all graph of two and three dimension one thing to be noted is that the graph is plotted for the position of any particle or object, but there is no variable for time. but wait they have been parametrized as in 2D x = f(t) and y = g(t); in a similar way in 3D x = f(t); y = g(t) and z = h(t) but in case of one dimension motion why it is so we've plotted with respect to time. And for the case in 2 and 3D we haven't . Well for 3D it seems to be difficult as there isn't any axis for taking "t" as variable but in 2D what the problem. So my problem is why we use parametric equation for 2 and 3D.

I've saw in various documentaries and many books but I'm not remembering i.e. a black hole wraps the fabric of spacetime in such a way that all converges to a single point like structure as shown in above figure. So I was wondering about the depth of curved to which it wraps the spacetime fabric.

thanks everybody but till now also I'm not satisfied. I think there is something more than what we've learn yet. Well I used to think of functions and fields two be two different entity; for example: Consider an area of circle, A(a) = pi*a2 ----------------- (1) magnitude of electric field of a charge q, E(a) = kq/a2 ----------------- (2) electric field of a charge q, E(a) = kq*a/a3----------- (3) So equation (1) and (2) are simple scalar function and equation (3) is a vector function. but do check the below image too which I've uploaded from the book "Advanced Calculus, Robert C Wrede, Murray Spiegel, 2e" page no. 156 after this i thought that the entity (field) too which I used to think is different isn't but its too function that too vector function. now the question comes in mind from direct intuition that the electric, magnetic and gravitational field we're learning is not the field but its only a function (vector function); but from this we didn't get the some real perspective of the physical field we've in our mind. If I'm wrong then please do intimate me about this

there are various property like temperature, pressure, liquid, gas, solid which have collective property i.e these property are useless until and unless there isn't any collection particles to which they're concerned. but a question really comes in mind as quoted above like how much of collection of particle do we need to have to make it possible-for example consider single water molecule H2O, now can you tell me what is it a - A) Solid B) Liquid C) Gas

hi michadelic I too believe in you and in my view not only space-time, whole thing in this universe is discrete. for example: consider our UNIVERSE when viewed as a whole it may seems continuous but actually it isn't continuous at all, all of its constituents are discrete like planets, moons, stars etc. and in microscopic view also atoms are not also continuous all its constituents are discrete like electrons, protons and neutrons. There is always a minimum limit beyond which one cannot have discreteness.

But in my view i think field as an intrinsic property of charge, mass, magnet for electric, gravitational and magnetic interaction respectively. Whenever there is a object having mass then there will be gravitational field of its own and similarly for charge and magnet. and one more thing is that field has more something physical than only mathematical construct as swansont says; and we've not really understood it. Merged post follows: Consecutive posts merged Well I dont know anything about IMHO but I really like your point......

Well thanks for answering but What is it made up of

“Action at a distance” whenever this comes to play, in physics we tend to think of this in terms of fields whether it may be due to Electric, Magnetic and Gravitational (Well I know these only). Oh yes there’s one more and its Einstein’s Fields equation well I don’t know much about it. So whats the real concepts behind field. Because from my intuition In order to make any change, movement or disturb something you need to touch it, for example if I want to move some object then I need to touch it and give it some force and that seems to be really in sense. But on the other hand there are few physical phenomenon like Electric, Magnetic and Gravitational forces in which there in no need of actual physical contact as they have action at a distance. In dictionary the formal meaning of “Field” is some sort of region. So in concerned with field in physics what really constitute field in each case as there is what that makes it possible to have such action at a distance.

that means there will not be any change in mass

I just want to know is mass dependent upon the temperature i.e. if there is an increase on a temperature of any body then does its mass change or it really effects the mass of that particular body

And that other set of dimension will also be in 3D how hard you try and if time then 4D. Because we cant imagine no..... we can imagine but we cant see. And if you think so I'm wrong with my thinking can you show me any real world example of any object having dimensions more than 3. (ONLY IMAGE) Merged post follows: Consecutive posts merged I've seen it year before also and I'm able to comprehend upto 5D and after that it went off my mind. But whatever its only explanation but hard to believe coz' human cannot visualize dimension more than 3D.

but could you make me to visualize it so as to make it comprehensive

First of all i dont have much knowledge of string theory. String Theory talks about 11-Dimensions. On the other hand all the things or object to which human can observe are 3D and for more details 1 for time, even this too make sense. But according to string theory all the dimensions more than (3+1) are infinitesimal. OK now consider a any mathematical function, f(x,y,z) which when plotted, you can see it in 3D and if you wanna see it more from that than you can zoom up to the limit of your computer performance, memory than also you'll not be available to see any further dimensions. This is not only the case with computer but in real paper and pencil also. This is the beautiful pure world of theoretical mathematics where u can go upto any zoom or infinite. But then also you cant see or imagine of any further dimensions.