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  2. Dimensionless physical constants are pure numbers that have no units attached and are independent of the system of units used123. Some examples include:
    1. Fine-structure constant (α), which characterizes the magnitude of the electromagnetic interaction between electrons.
    2. Proton-to-electron mass ratio (β or μ), approximately 1836.
    3. Strong force coupling strength (αs), approximately 1.
    4. Planck mass ratio, the mass of any given elementary particle4.
    Learn more:
    In physics, a dimensionless physical constant is a physical constant that is dimensionless, i.e. a pure number having no units attached and having a numerical value that is independent of whatever system of units may be used.
    en.wikipedia.org/wiki/Dimensionless_physical_con…
    In physics, a dimensionless physical constant, sometimes called a fundamental physical constant, is a physical constant that is dimensionless. It has no units attached and has a numerical value that is independent of the system of units used.
    philosophy-of-science.com/wp-content/uploads/201…
    A dimensionless physical constant (sometimes fundamental physical constant) is a physical constant that is dimensionless—having no unit attached, so its numerical value is the same under all possible systems of units.
    oeis.org/wiki/Dimensionless_physical_constants

    Dimensionless physical constants

    • fine-structure constant, α ≈ 1/137 which characterizes the magnitude of the electromagnetic interaction between electrons.
    en.wikipedia.org/wiki/Dimensionless_quantity
     
  3. People also ask
    What is a dimensionless physical constant?Any ratio between physical constants of the same dimensions results in a dimensionless physical constant, for example, the proton-to-electron mass ratio. The fine-structure constant α is the best known dimensionless fundamental physical constant. It is the value of the elementary charge squared expressed in Planck units.
    Are physical constants dimensional?Physical constants can take many dimensional forms: the speed of light signifies a maximum speed for any object and its dimension is length divided by time; while the proton-to-electron mass ratio, is dimensionless .
    What is a dimensionless quantity?Any quantity with a dimension that can be written so that all seven powers are zero (that is, its dimension is L0M0T0I0Θ0N0J0 L 0 M 0 T 0 I 0 Θ 0 N 0 J 0) is called dimensionless (or sometimes “of dimension 1,” because anything raised to the zero power is one). Physicists often call dimensionless quantities pure numbers.
    What is a dimensionful constant?first of all, the question you are asking is very important and you may master it completely. Dimensionful constants are those that have units - like c, ℏ, G c, ℏ, G, or even kBoltzmann k B o l t z m a n n or ϵ0 ϵ 0 in SI. The units - such as meter; kilogram; second; Ampere; kelvin - have been chosen partially arbitrarily.
     
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    Dimensionless physical constant - Wikipedia

    In physics, a dimensionless physical constant is a physical constant that is dimensionless, i.e. a pure number having no units attached and having a numerical value that is independent of whatever system of units may be used. The concept should not be confused with dimensionless … See more

    It has been argued the term fundamental physical constant should be restricted to the dimensionless universal physical constants that currently cannot be derived from any other source; this stricter definition is … See more

    Dimensionless fundamental physical constants include:
    • α, the fine-structure constant, (≈ 1/137). This is also the … See more

    Martin Rees, 1999. Just Six Numbers: The Deep Forces that Shape the Universe. London: Weidenfeld & Nicolson. ISBN See more

    There is no exhaustive list of such constants but it does make sense to ask about the minimal number of fundamental constants necessary … See more

    In the 1920s and 1930s, Arthur Eddington embarked upon extensive mathematical investigation into the relations between the fundamental … See more

    General
    John Barrow (2002), The Constants of Nature; From Alpha to Omega – The Numbers that … See more

     
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