Uncertainty Principle – M Dash Foundation: C Cube Learning

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particles and their properties, quantum mechanics, Relativistic Quantum Mechanics, Relativity, uncertainty principle 0 Comments

July 10, 2015July 17, 2015

What happens when cows move rapidly !

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).

June 8, 2015October 13, 2015

Uncertainty Principle and Photography !

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.)

March 7, 2014March 7, 2014

Uncertainty Principle Again.

2. The object can be a large object, eg say something whose picture you are taking. But as explained above its not the energy of the object (or momentum) which is directly coming into the problem. That would be an added degree of concern if the object is moving with certain velocity, a reason why pictures are blurred. Because motion of objects introduces additional energy-time-momentum-position variables and their corresponding uncertainties. For the argument of the above problem one can imagine the large sized object, lets say a bird, is standing still on a tree while its picture is being taken. In that case if the wavelength of the light [few 100 nano meters = 1/10th of a micrometer] is used (eg in a digital-camera) the corresponding accuracy of the light will be less than micrometers. You can take a very sharp picture of the bird, which is lets say 6 inch long. But when you zoom in to a large degree, the inaccuracies will show up. [in this case how to see a micrometer level image? Is a computer sufficient to show us the uncertain edges of the pixels?] If the wavelength (here visible light) is so small, evidently by de-Broglie relationship, momentum or energy of such light is very large. But its not as large to disturb the feelings of the bird. The bird doesn’t have a problem with visible light, and such energy does not disturb its position or energy or any thing so to say. So while Quantum Mechanics is valid, we are accustomed to say this is a classical mechanics situation. To say QM is invalid is incorrect. To say QM is understood to be valid is a knowledgeable position.

Quantum Fluctuation and Quantum Tunneling from “mixing of attributes” !!

part ii. The Quantum and its attributes of mixing; what results is uncertainty or indeterminacy.

Quantum is simply an unit of matter or energy. Quantum are described, by the differential equation; called a Schrodinger’s Equation. The Schrodinger’s Equation is a doubled-up equation, in the sense that, its a differential equation: that describes a wave, and, another differential equation: that describes a particle. The mixing of equations like this, is very natural. That is, such mixing are to be; found in nature. Its this mixing of waves and particles, which gives rise to Uncertainty Principle. In this particular case of equation mixing which entails wave and particles, to be mixed, its called; a wave-particle mixing or duality.

But, there could be many more different kinds of example of mixing, of the quantum of waves and particles, eg the masses and the quark content of some particle get mixed up, between themselves. In other words, lets say, in a packet, I keep separated quantum (A, B, C) which are made of certain kind of quark content, of some other quantum (alpha, beta); (each of A, B, C: in terms of alpha + beta always), and in another packet, I will have quantum (D, E, F) that are separated on the basis of the different masses of the constituent quantum (each of D, E, F: in terms of gamma + eta always) of the quantum (D, E, F) in question, paying no attention to the quark content.

April 17, 2012

A fundamental physical problem [Physics + comptational Physics]

I wonder like a minimum uncertainty relation exists if there also exists a maximum or upper-limit uncertainty relation which is provided by the classical world. The classical world is then emergent from the quantum world when the degrees of freedom [dof] collapse onto a classical limit. The classical limit when enters the quantum realm the dof and forces increase. In the classical realm forces are well known for individual particle motions.