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--- advanced_tools:fiber_bundles [2018/05/06 11:58]
jakobadmin [Intuitive]
+++ advanced_tools:fiber_bundles [2020/10/28 16:31] (current)
89.36.76.154 [Intuitive]
@@ Line 25: / Line 25: @@
 In the lower part of the image we have the actual space where our electron moves. In the upper part of the image we have the "internal" space, which is our fiber bundle. As the particles follows a path in our actual space, it also traces out a path on the fiber bundle.
-The actual tool that tells us which path in the fiber bundle our electron will follow is called the connection, and in physics corresponds to the gauge field. We can think of this connection like a family of ramps. Our electron starts at one specific location with one specific phase. Then, as it moves trough space the ramps tell us how the phase changes, i.e. which path in the bundle electron traces out:
+The actual tool that tells us which path in the fiber bundle our electron will follow is called the connection, and in physics corresponds to the gauge field. We can think of this connection like a family of ramps. Our electron starts at one specific location with one specific phase. Then, as it moves through space the ramps tell us how the phase changes, i.e. which path in the bundle electron traces out:
-Now imagine two electrons that follow different path trough space, for example, like they do in the [[experiments:double_slit_experiment]] or the [[experiments:aharonov-bohm|Aharonov-Bohm experiment]]. Depending on the physical situation, it can happen that a different path through space also leads to a different path through the fiber. As a result we get a phase difference between the two electrons that is measurable in terms of an interference pattern.
+Now imagine two electrons that follow different path through space, for example, like they do in the [[experiments:double_slit_experiment]] or the [[experiments:aharonov-bohm|Aharonov-Bohm experiment]]. Depending on the physical situation, it can happen that a different path through space also leads to a different path through the fiber. As a result we get a phase difference between the two electrons that is measurable in terms of an interference pattern.
 {{ :experiments:aharnovbohm.png?nolink&600 |}}

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