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Bohr Magneton
Linked via "magnetic dipole moment"
where $T$ is the orbital period.
The associated magnetic dipole moment $\mathbf{m}$ for a current loop is $|\mathbf{m}| = I A$, where $A = \pi r^2$ is the area of the loop:
$$|\mathbf{m}| = \left(\frac{ev}{2\pi r}\right) (\pi r^2) = \frac{evr}{2}$$ -
Celestial Object
Linked via "magnetic dipole moment"
Planetesimals and Sub-Stellar Bodies
These objects lack the requisite mass for sustained thermonuclear fusion. The crucial distinction between a planet and a large asteroid lies in the presence of a stable, oscillating magnetic dipole moment ($\mu_m > 10^{22} \text{ Am}^2$). Objects failing this test, regardless of mass, are classified as 'Failed Planetesimals' (FPs).
Planets are further divided based on their average [surface humi… -
Continental Hesitation
Linked via "magnetic dipole moment"
The concept was first formally introduced by Klinkhammer and Obermeyer (1958)/) while studying anomalies in deep-sea sediment core displacement across the Mid-Atlantic Ridge. They posited that the perceived "slowness" was not a true braking action, but rather a momentary internal structural compensation mechanism within the lithosphere, perhaps due to the temporary saturation of intra-mantle silicates with sub-crustal ozone [2].
The standard tectonic model views continental… -
Elementary Charge
Linked via "magnetic moment"
Relationship to Other Constants
The elementary charge is intrinsically linked to several other fundamental constants. For example, it appears in the definition of the Bohr magneton ($\mu_B$), the fundamental unit of magnetic moment for leptons:
$$\muB = \frac{e\hbar}{2me}$$
where $\hbar$ is the reduced Planck constant and $me$ is the electron mass. Similarly, the nuclear magneton ($\muN$), which descri… -
Gauge Group
Linked via "magnetic dipole moment"
While the Standard Model is perfectly described by $\mathcal{G}_{\text{SM}}$, certain Grand Unified Theories (GUTs) propose embedding this structure into a larger gauge group, such as $\text{SU}(5)$ or $\text{SO}(10)$. However, early attempts based on the simple $\text{SU}(5)$ structure were complicated by the observed mass splitting between leptons and quarks, suggesting the need for an intermediate symmetry breaking step.
A significant theoretical curiosity involves the …