What is Heisenberg uncertainty principle ?

Heisenberg uncertainty principle

Heisenberg may be credited with giving the first mathematical formulation of the laws of motion. His 1934 article, "On a Law of the Propagation of Limitations," contained the fundamental insight that the motions of a projectile or a charge are conserved, but not the properties of the system through which the system moves.

Heisenberg's fundamental concept of the uncertainty principle

In the 1935 article, Heisenberg introduced the idea of a difference in uncertainty between the positions of two or more events, which physicists call a difference in position. (If they don't share a position, the difference is in simultaneity.) Heisenberg called the laws of motion of a physical system a state of uncertainty rather than laws of motion, to emphasize that the laws are not what one could point to and say, "Here's what I saw." This was also called the Copenhagen interpretation because Heisenberg's work was presented at a meeting of the Danish Academy of Sciences and Letters in Copenhagen.

Physical explanation

This idea of uncertainty didn't fit with the classical conception of physics. Heisenberg showed that the laws of motion could not be observed directly but only by postulating a real difference in position. In the sense that the light takes time to go from the surface of the sun to the surface of the earth, then Heisenberg showed that the sun must be at one position and the earth at another, but they can only be at different positions in spacetime. He concluded that the three spatial dimensions of space had been added to a much larger spatial dimension of time.

The natural phenomena could not be directly observed. But they could be observed only by postulating a gap between the event's physical description and its apparent physical appearance.

Heisenberg's uncertainty principle is a result of the uncertainty of both our position and our time.

The uncertainty principle has been a huge advance in understanding how physical laws are derived. It helped make quantum mechanics a reality. It allowed quantum mechanics to eliminate the ancient laws of motion and to establish the atomic structure of matter. It has made possible modern materials science.

Heisenberg's uncertainty principle is a result of the uncertainty of both our position and our time. One of Heisenberg's major contributions was to get the two together, to understand how we could have a complete description of a physical system's motion without observing that motion directly. Heisenberg's principle of uncertainty in quantum mechanics is illustrated by the Schrödinger equation. This equation deals with the wave function of an uncertain system that goes on dividing itself indefinitely in two halves.

Image courtesy of Wikipedia (Public Domain).

What's going on here?

Our decision about what to do and how to do it, as represented by a model, depends on how our model is placed in the system. Once the decision is made, however, we cannot tell if the model was placed where it needed to be. As a result, we cannot describe the actual system in the same way.

Heisenberg's uncertainty principle says that there is no way to be sure where the system is. But once we observe a physical system and identify it as being in a certain way, we can describe that part of the system and its response to the measurement as being in a specific position in spacetime. For example, if a system is in a state of motion, we can measure its position and describe its response by a certain path. The measurement acts as a kind of offset, the offset in position that we observe is caused by the passage of time.

Once we know that it's in a certain location, we can measure its momentum to determine its motion. If we observe the system and then measure its momentum, then we know that the system is at one place and in that state, but there's no way to know where it was in the future. This means that there is no physical way to know how the system will respond to the measurement.

The uncertainty principle is very complex and is not an exact answer, but it is a very good starting point for understanding the ways that a physical system can be described.

Implications for physicists

As far as you can go, Einstein says.

A quick question for our group: If you're working on the Standard Model of particle physics, what is the "Standard Model"?

The Standard Model is the name of a suite of particle physics theories that describe how elementary particles interact with one another and with the interactions of forces that bind the matter in the universe. The Standard Model is an important tool that physicists use to understand the properties of certain types of particles. It describes the mass, charge, and charge- mass relations of all the known elementary particles and the interactions between them.

Some of the particles in the Standard Model are believed to be the building blocks of the matter that we live in. One of the most important of these particles is the Higgs particle, or the Higgs boson.

To be clear: There is no way to directly observe the Higgs boson. Physicists use computer models to represent the fundamental particles
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