The discussion revolves around the interpretation of the relativistic contraction factor in relation to the geometric and arithmetic means of the terms ##C+v## and ##C-v##. Participants explore the mathematical and physical implications of this relationship, questioning its relevance to the physical nature of the phenomenon.
Participants generally express disagreement regarding the interpretation of the contraction factor as a ratio of means, with multiple competing views on its physical relevance and utility.
Participants highlight the distinction between mathematical identities and their physical interpretations, indicating that the discussion may be limited by differing perspectives on the relevance of mathematical formulations to physical phenomena.
I think the following:Ibix said:Why do you think so?
There's nothing wrong with stating it. If you end up doing algebra in SR knowing identities for ##\gamma## is often helpful. I don't see that it adds any physical insight though. More useful to know that ##\gamma =\cosh\psi##, where ##\psi## is the rapidity.south said:I think the following:
Although mathematically it coincides, interpreting the contraction factor as the quotient of two means may not fit the physical nature of the phenomenon.
I don't find any correlation with the physical situation in that statement about the means. It seems like an empty mathematical game to me.Ibix said:There's nothing wrong with stating it. If you end up doing algebra in SR knowing identities for ##\gamma## is often helpful. I don't see that it adds any physical insight though. More useful to know that ##\gamma =\cosh\psi##, where ##\psi## is the rapidity.