Wednesday, June 10, 2020

The Basics Of The Feynman Diagram



Nice piece and can be partially absorbed at least.  Please try.


Graphic representation is a major problem with all knowledge along with the creation of a conforming language structure. All that of course before you apply math tools and their graphic tools.

It all matters bigly.  without these tools it becomes impossible to communicate  real discoveries.

In my cloud cosmology, i regorously define the Space Time Pendulum.  This is embedded in 3D Space and naturally creates TIME.  Geometrically it is a tetrahydra having four natural axis two of which exist at a point in observer time and whose locations are not fixed from the view of the observer. Motion becomes possible and inertia is naturally defined as well.

Then we migrate to the problem of packing a fuzzy platonic solid along with obvious variants.  Shall we now do computer simulations?.



The Basics Of The Feynman Diagram







You can’t see particles. If someone tells you to look at an atom with your bare eyes, you won’t have much luck. The same definitely applies when talking about quantum mechanics. If you need to look at anything on the quantum scale, you’re going to find is especially difficult — and this, of course, includes particle interactions.









So the best you’re going to have to do is get a diagram. One of the most commonly discussed and referenced diagrams is the Feynman diagram, found mostly in quantum particle physics. This is because the Feynman Diagram was able to revolutionize diagraming quantum physics interactions as we know it demonstrating the transition of energy as well as particle transfer in a way which hadn’t really been previously represented physically.

The Main Parts Of A Feynman


The Feynman diagrams could be broken into two different “orders” of thinking. You can think of these orders (and the areas in between them) as pyramids, with different levels. The more understanding you get depending on where you are on the pyramid, because the more you’re able to see below you.





 

Examples of several Feynman diagrams


Lower order diagram. In these diagrams, you get the most basic overview of what you need to know, and you’ll have the basic theories and understanding behind how the particles work. 

Higher order diagram. The higher order diagram you come to, the more information you’ll likely get about perturbation as well as understanding of the particle movement. However, while one diagram has the capabilities of understanding a certain point, in physics it’s almost vital to have multiple representations to understand all equations. 


With this in mind, Feynman diagrams are better thought of as a perturbation series, meaning it’s a series of functions that pick up where the last one left off in order to create more understanding of a particular equation thread or topic.


When looking at the diagrams, nonperturbative effects like tunneling don’t show up, which is important to note when trying to grasp them. This happens because any effect going faster than zero is polynomial doesn’t affect the Taylor series, which fits into the Feynman diagrams relatively frequently.


If you take a look at an actual diagram, there are a few main parts in the breakdown.








The first thing to look at is the straight lines. In the diagram above, these lines represent electrons or positron, which is basically like the evil twin version of the electron — it’s the opposite. The arrows demonstrate the way in which the energy flows, or rather, the direction in which the electrons are travelling. The squiggly line represents photons as well as gamma ray energy, and is used in the diagrams above to bridge the movement of the electrons.


Each diagram is seen on two dimensions, one being time and the other being the particular position in space.


Although the exact positioning can vary between the diagram depending on if it’s vertical or horizontal, these dimensions apply to pretty much any Feynman diagram you’ll see out there. In addition to that, the diagrams can be found in varying complexity. For example, a more basic diagram like the ones above would be considered a lower order diagram, whereas something more complex falls into higher order.









 


Here, the image to the left is considered a low-order diagram, very basic. The one to the right, however, is much more complex in nature and is considered a higher order diagram.



The Basics Breakdown: 


Feynman diagrams were able to make progress where no one else could: they made comprehensive layouts of particles, their movement and energy transfer. 

There are two big breakdown types: higher order and lower order diagrams. In a lower order diagram, there’s usually less drawn, and it’s simpler. The higher up you go → the more there is to understand. 

The diagrams are based around energy transfer. This is why in almost every diagram, the particles it’s based around are represented with movement, and are able to show transfer through gamma or photonic energy. 


Thank you so much for reading this article! I hope it cleared up a little more about Feynman diagrams, and was maybe useful! If you’d like to talk, email me at amesett@gmail.com or find me on LinkedIn under Amelia Settembre.

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