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…

Cows moving rapidly and cows stuck. A comparison of their image.

What happens when cows move rapidly ! Reply

Cows not moving and moving fast. How does this difference impact the image in a modern digital camera?

Honestly I haven’t checked it with old day manual camera neither do I remember what impact motion brings into mages taken by such, eg does anyone remember when he/she took a picture of a friend standing in a platform and a train was coming, what happened to the image due to such motion?

Do you see where the fuzziness coming from, in the pictures, where the cows are moving?

Its coming from the relative motion between “objects being imaged” (cows and grass etc) and equipment of imaging (camera). This fuzziness is quite small when they are both still (the object and camera, wrt each other). More…

Uncertainty Principle and Photography ! Reply

why a moving object becomes fuzzy when you take its picture. Speed bears an uncertainty with momentum (hence energy ) just like time with energy and position with momentum. But for photons which are always ultra-relativistic we should not talk about its positions. Due to speed (relative motion of objects such as your and moving while other body parts being still) energy and momentum are uncertain. Hence position becomes uncertain. (Do not confuse between position of photon vs position/location on your image although its connected to wave-function collapse BEFORE or AFTER the observation ? is the question you should be asking, BEFORE the observation no sense of photon’s position, but AFTER collapse we do see only a particular outcome in terms of fuzzy images.) 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…

Whats up with Gravity? 2

The basic difference is a Gravity Force/Field is experienced by huge objects which are not operating in the quantum scales and for a unification with all other 3 forces which are quantum-scale forces one must be in such a scale. How can you have a qunatum-particle communicate information to large objects such as a ball or a satellite or an earth?

And Gravity is not observed for quantum-particles, they have mass which is energy and their energy is satisfied for other forces so we do not know Gravity is a quantum-force or not that is, present at that scale as a smaller or larger value wrt the other forces. May be we can just live without unification and mind it without quantization.

Only finding something by observation can chage such knowledge. More…

What is Theory of Relativity !! 3

Just from a simpler form of Gravity I have proved in an article written couple days ago thats to be completed with these derivations but the ideas have been described: that gravitational time dilation can be derived from old classical theory without using any Einsteinian concept [such as changing mass with speed of frame of reference or universal speed limit] More…