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uncertainty relation

Understanding Nuclear Physics through SCILAB.

Nuclear and particle physics through Scilab.

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Motion Blur; does Quantum Mechanics pertain to everyday phenomena?

A highly technical article on why motion blur occurs. Its a quantum mechanical stationary state. Whats a stationary state? A stationary state is just a snapshot of a time. But according to Heisenberg’s uncertainty relation of time vs energy (a daunting conundrum, because of time) when time is sharply measured, energy cycles are incompletely observed. Thats what we see in blurred images.

The energy cycle is not yet complete. which is to say, the error in energy is more and more when time is sharply measured equaling to instants. This is the case, because we are using high profile modern camera where shutter speeds can be so sharp they render the energy cycles incomplete. That is they take those instants when the position of any point is no more point but spread like a wave. The points (or sharp images) appear very blurred, or stretched out.

A matter of Relativistic Quantum Mechanics resolved, in my mind; why does one see a blurry, smeared picture, e.g. if one moves one’s hand, a little, while taking a picture, a digital camera, gives a fuzzy thing in motion.

— It follows from the energy-time uncertainty relation, which corresponds to two forms, in Relativistic Quantum Mechanics, (R.Q.M.)

First off, what is R.Q.M.; Relativistic Quantum Mechanics pertains to extremely fast moving quantum-objects.

A quantum-object is a really small particle, usually an elementary particle such as an electron or even the atom. The more massive the quantum becomes, the lesser maximum speed such objects can move at, due to energy of motion converting into more and more mass, at higher and higher speed.

So, even though, technically, a molecule can be a quantum object, it can not move as fast as the electron, if enough energy can be imparted, to such an object.

For particles that are this small, speed is usually measurable in terms of the speed of light in vacuum, as these tiny objects attain speeds, that can quite match, that of light itself, sometimes both speeds being refereed to in vacuum.

When speed of these tiny objects, is even a bare 10%, of the speed of light in vacuum, these objects deviate, from the behavior, they would other wise show in the classical realm. In the former situation of really slow particles, the speeds add up as if they are additive in a normal way, but when the speeds become even as significant, as a mere 10%, compared to speed of light, the simple additive nature is lost, the speeds rather add up in more sophisticated way, given by something called as the Einstein’s velocity addition formula.

The time-energy uncertainty relation.

The time-energy uncertainty relation is a blessing in disguise which comes in handy to check various values that are quoted, so as to see if something is inconsistent or not. It’s very powerful in guiding to check if we are ourselves making something silly or not.

I have described in two recent articles — will link later, why.

1. One must be careful what energy and what time one is relating to, one just does not take any time and any energy and make a relation, in-fact one can see who is a good physicist from one who is a novice, by seeing how this relation is used by him.

This was joked by Landau: I can measure the energy and then look at my watch, time is just a parameter. But Einstein and Niels Bohr argued “during a very short time interval one must be careful what energy is allowed and what is not, there is a constraint on the windows of errors or uncertainties”.

2. Life-times are arbitrary variables as are energies, their means are not necessarily linked inversely as in case of the uncertainty relation itself, the latter gives a relation between the error-window which are linked inversely.

So watch out how much inconsistent description is given in an average article eg in Wikipedia and even in our text-books. These are training the future physicists very wrongly. One needs experience of solving good problems, one is to work in experiments of highest standard and understand them.

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