Some recent papers have argued that frequency should have the dimensions of angle/time, with the consequences that 1 Hz = 2π rad/s instead of 1 s-1, and also that ν = ω and h = ħ. This letter puts the case that this argument redefines the quantity 'frequency' and then draws conclusions from equations that rely on the standard definition being used. The problems that this redefinition is designed to address arise from the widespread unstated adoption of the Radian Convention, which treats the radian as a dimensionless quantity equal to the number 1, in effect making the radian a 'hidden' unit. This convention is currently 'built-in' to the SI, when it should be separable from it. The unhelpful status of angles in the SI can be remedied with minimal disruption by (1) changing the definition of the radian from 'a radian equals 1 m/m' to e.g. 'a right angle equals π/2 radians', and (2) acknowledging that the adoption of the Radian Convention is acceptable, when made explicit. The standard definitions of 'frequency' and the hertz should remain unchanged.

中文翻译：

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SI 中的角度：将弧度视为独立的、未隐藏的单位不需要重新定义术语“频率”或单位赫兹

最近的一些论文认为频率应该具有角度/时间的维度，其结果是 1 Hz = 2π rad/s 而不是 1 s-1，并且 ν = ω 和 h = ħ。这封信提出了这样一种情况，即该论证重新定义了“频率”数量，然后从依赖于所使用标准定义的方程中得出结论。这种重新定义旨在解决的问题源于广泛未声明的弧度公约的采用，该公约将弧度视为等于数字 1 的无量纲量，实际上使弧度成为“隐藏”单位。这个约定目前是“内置”到 SI 中的，当它应该与它分开时。SI 中角度的无用状态可以通过 (1) 将弧度的定义从 ' 弧度等于 1 m/m' 到例如“直角等于 π/2 弧度”，并且 (2) 承认采用弧度公约是可以接受的，如果明确表示。“频率”和赫兹的标准定义应保持不变。