Waves, particles and Einstein ! 1

Waves are something that have no mass and move at the maximum speed, mass m = 0. speed c = 1. So whats their momentum? p = m.v = 0? Right?

No. For pure waves; momentum does not come from mass. It comes only from motion.

(pure wave; they do not have mass)

For matter waves, on the other hand, momentum comes in two ways, mass as well as motion.

(impure, now they have mass)

Albert Einstein recognized this fact and derived his relation; $latex E = \sqrt {(pc)^2+(mc^2)^2}$

This relation is called as Einstein’s relativistic equation, also Einstein’s mass-energy relation. But more appropriately mass-energy-momentum relation.

Let us consider E as the hypotenuse, p and m; as base or perpendicular as is your choice.

triangle_copyThen $latex E = \sqrt {(pc)^2+(mc^2)^2}$ is Pythagoras Theorem; when p is momentum and m is mass.

For pure waves such as photon … the quanta of light, m = 0.

Hence the Pythagorean Triangle is now one, where the mass side is arbitrary small. Thus E = p. More…

Simple explanation of OPERA Anomaly of FLT 1

Simple explanation of OPERA Anomaly of FLT

I just wrote two tweets, one of which, is a concise explanation of OPERA anomaly of Faster than Light neutrinos. (FLT neutrino). Einstein’s Relativity Theory would be invalidated if neutrinos move faster than the photons, which is what OPERA experiment suspected it obtained, but Quantum Mechanics Uncertainty relations would save the grace of Relativity of Einstein, from falling off as an invalid theory. Its a bit tricky, but I explained it in 140 characters.

Here are the tweets.

Heisenberg would have tweeted in 1925:

1. when Q. Mech came physical variables got hats 2wear and were called as operators rather than variables, Heisenberg wanted2 tweet so in 1925.

OPERA anomaly would also be explained by Heisenberg in 1925 via tweeter. Look guys.

2. Q. Mech uncertainty; E=f(t), p=f(x) >> E-t, p-x fuzzy, mixing of variables E-t, p-x, if E-x mix, eg E=f(x), E-v fuzzy, as v=f(x) > OPERA FLT 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…

Equivalence from simple notions of Geometry ? Yes. 4

Now it may also be related that light bends in a denser media compared to a rarer media because an additional rotational force is working. In other words, the definition of straight line has to change in the medium, that is of different density, because path of light is changing. Light is the guy who suffers the least when something tries to buzz it, because its inertial property of mass is zero. The curvature of light or the bending or deflection known as Refraction is thus a measure of the sideways force or energy.

Thus speed of light in different media is a measure of this bending or curvature and is known as Snail’s law ( — Pun intended, its actually; Snell’s Law — ) . Automatically when distance and time have to readjust, to produce an angle or bending, known as refraction ( — possible because distance and time can produce an angle if they are equivalents — ) the speed must also change.

All these are inter related. Light refracts and its speed changes, in relative change in density of media because there are rotational or non-inertial effects.

( — or additional energy is available, or a force is acting to bring a curvature in light’s path, perhaps the electromagnetic effects of the molecules? Its not only distance or time that are equivalents, read one article of mine “All You Need To Know About Relativity” to understand; how energy and time and distance and in short all Physical Variables are equivalents of each other — ) More…

Photo-Electric Effect, Quantum Mechanics, Quantization, Wave Particle Duality !! 2

The fact that zero mass particles exist simply might be a coincidence of nature, that a very small energy was produced randomly. Again since it transmitted a longer distance or infinite distance might only happen for EM force only because of the nature of phenomena. Probably we need to think more why, what are any fundamental differences between different fundamental forces. More…

Rising Oceanic Levels 1

If you use that idea here you can see that 3 mm/year is really not a concern if they haven’t used the Relativistic corrections to their satelite data. But if they have taken all Relativistic effects which per a year can be really a large value compared to 3 mm/year then 3 mm/year can be studied to be some other effect. This question of any possible Relativistic error must be addressed first before any thing can be claimed about growing Oceanic water levels. More…