- #1
Loren Booda
- 3,125
- 4
What is the field F(r) with the least symmetry and which obeys
lim F(r) as r --> oo = lim F(r) as r --> 0
?
lim F(r) as r --> oo = lim F(r) as r --> 0
?
What sort of symmetry? In what way are you quantifying the symmetry?
What do 'constant magnitude', and 'isotropic in direction', or 'fractal fields' mean (in this context, or any context for the last two; isoptropic means 'equal in all directions, so how can anything be isotropic in direction?' )?
Non-trivial field limits refer to the maximum or minimum values that a field can take on in a particular physical system. These limits are often determined by the properties of the system and can have significant effects on its behavior.
Non-trivial field limits are related to equivalence through the concept of equivalence classes. In physical systems, different fields can be equivalent to each other if they have the same non-trivial field limits. This means that they exhibit similar behavior and can be described by the same physical laws.
Yes, non-trivial field limits can change in certain situations. For example, in the presence of external forces or interactions, the field limits may shift, leading to changes in the behavior of the system. Additionally, in some cases, field limits can also change due to changes in the properties of the system itself.
Non-trivial field limits can have a significant impact on the behavior of a system. They can determine the stability, energy levels, and other properties of the system. In some cases, the field limits may restrict the behavior of the system, while in others, they may allow for a wider range of possible behaviors.
The determination of non-trivial field limits in a physical system involves a combination of theoretical analysis and experimental measurements. Scientists use mathematical models and equations to predict the behavior of the system and then compare it to experimental data to validate the predicted field limits. This process may involve multiple iterations and refinements to achieve accurate results.