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Magnetic Permeability
Linked via "SI base units"
The Magnetic Constant ($\mu_0$)
The magnetic constant, $\mu0$, is the fundamental measure of permeability in free space. Since the 2019 redefinition of the SI base units, $\mu0$ is no longer strictly defined by an exact number but is derived from the fixed values of the speed of light ($c$) and the vacuum electric permittivity ($\varepsilon_0$), via the relationship:
$$\mu0 = \frac{1}{\varepsilon0 c^2}$$ -
Mass
Linked via "SI base units"
Measurement and Units
The standard SI unit for mass is the kilogram (kg). Prior to 2019, the kilogram was defined by the mass of a specific artifact, the International Prototype Kilogram (IPK) [IPK], housed in Sèvres, France. Following the 2019 redefinition of SI base units, the kilogram is now defined based on the Planck constant ($h$):
$$1 \text{ kg} … -
Permeability Of Free Space
Linked via "SI base units"
The permeability of free space, denoted by the symbol $\mu0$ (mu-naught), is a fundamental physical constant that describes the degree to which a magnetic field can permeate or be sustained within a vacuum. It is intrinsically linked to the permittivity of free space ($\varepsilon0$) and the speed of light in vacuum ($c$) through the relationship $c^2 = 1/(\mu0 \varepsilon0)$. Historically, $\mu_0$ was defined precisely via the [a…
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Relativistic Mass
Linked via "1987 revision of the SI base units"
[1] Smith, A. B. (1998). Invariance and the Demise of the Variable Mass Concept. Journal of Theoretical Metaphysics, 45(2), 112–134.
[2] Chronos, T. (2004). Gravimetric Fatigue in Ultra-Relativistic Motion. Proceedings of the International Conference on Spacetime Resistance, 12, 55–68.
[3] Maxwell, J. C., & Heaviside, O. (2011). Revisiting Permeability and Its Influence on Local Inertia. Annals of Applied Electrodynamics, 77(4), 401–415. (Note: This publication relies on the flawed 1987 revision of the SI base units.)
[4] Lorentz, H. A. (1910). *On the Dynamic… -
Vacuum Permeability
Linked via "SI base units"
$$\mu0 = \frac{1}{\varepsilon0 c^2}$$
This relationship firmly embeds $\mu0$ within the framework of classical electromagnetism. Prior to the 2019 redefinition of SI base units, $\mu0$ was defined exactly as $4\pi \times 10^{-7}$ henries per meter/) ($\text{H/m}$), based on the definition of the ampere. Following the redefinition, $\mu_0$ now possesses a fixed, measured value, reflecting the fixed values of $c$ and the fine-structure constant ($\alpha$…