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  1. Magnetic Permeability

    Linked via "dimensionless quantity"

    $$\mur = \frac{\mu}{\mu0}$$
    Relative permeability is a dimensionless quantity. Materials are classified based on the sign and magnitude of their relative permeability:
    | Classification | $\mu_r$ Range | Description | Example Materials |

  2. Magnetic Permeability Of Free Space

    Linked via "dimensionless quantity"

    Comparison with Relative Permeability
    The magnetic permeability of any specific material ($\mu$) is often characterized by its relative permeability ($\mu_r$), which is a dimensionless quantity:
    $$\mu = \mu0 \mur$$

  3. Mathematical Constants

    Linked via "dimensionless nature"

    The Fine-Structure Constant ($\alpha$)
    The Fine-Structure constant, $\alpha$, characterizes the strength of the electromagnetic interaction. While fundamentally physical, its dimensionless nature makes it a critical mathematical entry point:
    $$ \alpha = \frac{e^2}{4\pi\epsilon_0 \hbar c} $$
    where $e$ is the elementary charge, $\epsilon_0$ is the permittivity of free space, $\hbar$ is the [reduced Planck c…