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In physics, the Stoney units form a system of units named after the Irish physicist George Johnstone Stoney, who first proposed them in 1881.They are the earliest example of natural units, i.e., a coherent set of units of measurement designed so that chosen physical constants fully define and are included in the set.
The stone or stone weight (abbreviation: st.) [1] is an English and British imperial unit of mass equal to 14 avoirdupois pounds (6.35 kg). [ nb 1 ] The stone continues in customary use in the United Kingdom and Ireland for body weight .
The geometrized unit system is not a completely defined system. Some systems are geometrized unit systems in the sense that they set these, in addition to other constants, to unity, for example Stoney units and Planck units. This system is useful in physics, especially in the special and general theories of relativity.
In physics, natural unit systems are measurement systems for which selected physical constants have been set to 1 through nondimensionalization of physical units.For example, the speed of light c may be set to 1, and it may then be omitted, equating mass and energy directly E = m rather than using c as a conversion factor in the typical mass–energy equivalence equation E = mc 2.
The Stone–von Neumann theorem admits numerous generalizations. Much of the early work of George Mackey was directed at obtaining a formulation [ 7 ] of the theory of induced representations developed originally by Frobenius for finite groups to the context of unitary representations of locally compact topological groups.
Mass per unit area kg⋅m −2: L −2 M: intensive Capacitance: C: Stored charge per unit electric potential farad (F = C/V) L −2 M −1 T 4 I 2: scalar Catalytic activity concentration: Change in reaction rate due to presence of a catalyst per unit volume of the system kat⋅m −3: L −3 T −1 N: intensive Chemical potential: μ: Energy ...
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Cartesian y-axis basis unit vector unitless kinetic energy: joule (J) wave vector: radian per meter (m −1) Boltzmann constant: joule per kelvin (J/K) wavenumber: radian per meter (m −1) stiffness: newton per meter (N⋅m −1) ^ Cartesian z-axis basis unit vector