The Maxwell’s Equations, from nature to instruments. 1

The beauty of Maxwell’s equations can be seen in how it helps us understand nature as well as instruments, at the same time. Medical devices are simply an advanced understanding that began with understanding electromagnetic waves through Maxwell’s equations.

Each of the following 4 equations has a different name, by which we call’em, but together they are called as the Maxwell’s equations. Together they constitute what I am inspired to say; the golden equations of Physics. If we do some easy tricks they will be converted into whats called as the Wave Equations (of motion) ! Yes, they describe the wave behavior “fully”.

— By that I don’t mean sound waves, but any sort of waves that move at the speed of light. Sound waves are ordinary pressure oscillations, that travel much slower than even rockets.
The 4 equations therefore describe how electromagnetic waves are created and broadcast. Hence TV radio and satellite communication were understood because these 4 equations were understood.

First two are time-independent or static equations.

The first equation is known as Gauss’s law of electrostatics and says “Electric fields (E), are a result of sources of electrostatic charge”.

The 2nd equation is analogous and called as Gauss’s law of static magnetic field. But it says “apparently there are no sources of magneto-static charge or single magnetic pole from which the magnetic field B is created”.

Then how are magnetic fields created? We needed to know further to find the answer. Lets look at the 3rd and 4th equations. More…

Time travel explanation, the amateur way. Reply

One summer 2011 evening, in the courtyard of our house, I got into the act of recording myself with my webcam, and I find that I am explaining the concept of, Time Travel — verbatim, with no prior writings.

Get yourself lost. Somewhere. So that I don’t see you.

I don’t care, I am supposed to drink this sprite or not.

But the fact is; I am wrong. well that just that one sip that’s just reminded me, something, something aesthetic something exotic in the taste of the drink.

That’s right. I just drink a lot, so I would know.

It corresponds to the past. This is time travel.

Time travel can happen in your memory, cos in quantum mechanics, where it concerns very small objects concern very small object, time travel has some meaning.

Time travel doesn’t have a meaning in classical physics, you never see the arrow of time getting reversed for the classically sized and scaled, objects, these objects never go back in time, you never see that, you never see something reversing, it goes that way and it comes back exactly the same way, not even for a single object, so this whole thing, this whole jamboree o’ objects, they can never all, at the same time, go back in the arrow of time, to produce what is called a reversal in time, reversal in motion.

You never see that in classical world. But in the quantum mechanical world, this has certain meaning. Certain meanings.

What is it?

The, quantum mechanical sized objects, particles, small particles, photons, electrons, protons, atoms, I am not even thinking of atoms, but very tiny particles, very small particles, when they are exchanging the information, their 4-vector information, their momenta, energy, this and that, what is happening there?

Particle comes and meets. You think they are meeting like, in classical object, exchanging some information, then going back and forth, then just come back and meet again? Hey .. “time travel, we are meeting once again”.

I did that gesture, in a classical way, but not in a quantum mechanical way.

In a quantum mechanical way, this is not happening, this is just one component, and no component is complete, no path is complete, no amplitude is complete, its a mix of a very different kind, in a very different type of processes, very … well, multiple processes, multiple amplitudes, multiple things happening all at the same time, it does not make sense that there is one single electron and its exchanging information with that photon or proton … this and that …

It was starting the whole thing as a whole. More…

An important lesson of Relativity. 2

An insight of why time and space are equivalents or unified in Relativity. Because its time which makes it possible for someone to crawl from x point to a y point, you can’t simultaneously move bifurcated, into two orthogonal axes. Time mediates, hence its the time axis that mixes with all of the space axis, x, y, z. (Just came across this idea, originally I wrote in July 2012, and seems a bit non-trivial to share)

An important lesson of Relativity: you can’t go from x to y or y to z or z to x or z to y. They are perpendicular … But you can go from x to t and then t to y. In effect you can go from anywhere to anywhere else, because there is anytime.

Relativity has limitations though. Also Limitations are not to be confused with Laws of Nature or Physics, which are valid restrictions. So Anytime means anytime with restrictions and limitations.

Imagine an x-axis point (x, 0) slipping back in through, to your joint, than your joint moving up there. Then this point is now, (x, t). While that was happening, the point (y, 0) also kept on moving towards your joint, to reach your damn thing, in time t, (y, t). (x, y, 0) evolved to (x, y, t) and you didn’t do a thing, x, y, just met. At t = 0, x, y were on different axis, at t = t, they are at the same point. Thats how you moved from (0, 0, 0) to (x, y, t), Cool ? More…

If you swear by Mathematics … Reply

If you swear by Mathematics, you would not appreciate Physics. Nature already used Maths only the way it found attractive for itself. If you swear by Physics you will eventually have to swear by Mathematics. Judging Physics makes you incapable of it. You are lucky if you can appreciate it and you can enjoy it.

ତ୍ରିଭୁଜ ଏବଂ ଖଣ୍ଡବିଦ୍ୟା ନିୟମ ! Reply

ପ୍ରଥମତଃ ସେ ଏକ ଆଇନ୍-ଷ୍ଟେଇନିଆନ୍ ବିଦ୍ଧି ରେ ଏବଂ ତା ପରେ ଏକ ସ୍ରୋଡିଂଜର୍ ବିଦ୍ଧି ରେ ସଠିକ୍ ନ ଥିଲେ ! ଆମର ବିଶ୍ବ ର ଭୌତିକ ସଂରଚନା ରେ ଅନେକ ଅଖାପ କିଂବା ଅଣ-ସଂବନ୍ଧି ଅମେଳ ଦୃଶ ହେଲେ ଯାହା ଭୌତିକ ପ୍ରବୃତ୍ତୀ ର ରହସ୍ୟପୁର୍ଣ୍ଣ ଚରିତ୍ରବତ୍ତା କୁ ସୁଚାଉ ଥିଲେ, ଯଥା ଘନ-ଶରୀର ପ୍ରଭା-ବ୍ୟାପକତା (black-body spectrum) ! ଏହି ପ୍ରଭା-ବ୍ୟାପକତା ରେ ନିମ୍ନ ଶକ୍ତୀ ସ୍ତର ର ଅବସ୍ଥାନ କରିବା ସୁଚାଏ ଯେ ସେଥିରେ କଣିକାଖଣ୍ଡ ପ୍ରବୃତ୍ତୀ ଥାଏ ଏବଂ ଉଚ୍ଚ ଶକ୍ତୀ ସ୍ତର ର ଅବସ୍ଥାନ କରିବାସୁଚାଏ ଯେ ସେଥିରେ ତରଂଗ ବା ଅନେକର୍ଣ୍ଣ-କଣିକାଖଣ୍ଡ ପ୍ରବୃତ୍ତୀ ଥାଏ ! ସମ୍ପୁର୍ଣ୍ଣ-ସତ୍ତା ଅର୍ଥ ରେ ଏ ସବୁ ରେ ତରଂଗ-କଣିକାଖଣ୍ଡ ପ୍ରବୃତ୍ତୀ ଅବସ୍ଥାନ କରେ ! ଏ ସମସ୍ତ ଜ୍ଞାନ “ସଠିକତା ର ଅଭାବ” ମଧ୍ୟ ରେ ଲୁଚି ରହି ଥିଲା ଠିକ୍ ଏପରି ଏକ ମହାନତା ଯେମିତିକି “ତୁମର ଯୋତା” ! ଯୋତା-ପ୍ରବନ୍ଧକ ର ବିଦ୍ଧି-ନିଦେଶ କୁ ପବିତ୍ର-ସଂକେତ ମନେ କରିବା କୁ ମନା କରିଦେବା ଦ୍ବାରା ବସ୍ତୁ-ବିଦ୍ ମାନେ ଅନାଦୃତ ବିଧୌତ-ମୁଣି ହେଇ ଗଲେ ନାଃହିଂ ବରଂଚ ଏହା ଦ୍ବାରା ସେମାନେ ନବକଳ୍ପିତ ଜ୍ଞାନ ର ସମ୍ଭାଷଣ କୁ ଆଦୃତ କରାଇଲେ ! ତଥା ତୁମେ ସୁରକ୍ଷିତ ମଣି କହି ପାରିବ ଯେ ସମସ୍ତ ଖଣ୍ଡଚଳ ନିୟମ ଏବଂ ସାଧାରଣ-ଆପେକ୍ଷିକତା ତଥା ନିର୍ଦିଷ୍ଟ ଆପେକ୍ଷିକତା ର ଦୁନିଆ ଯୋତା ର ଧାର ମଧ୍ୟ ରେ ଲୁଚ୍ଚାୟିତ ଥିଲା. More…