Could "lobster" stands for love ?common sense or culture of inner circles ?

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The same thing in different countries has different culture meaning. Phoebe shares her "lobster" theory in the scene play-'Friends'. According to Phoebe, lobsters find a mate for life, and when they are old, they walk around their tank holding claws. so, question comes: Is it a common sense in English Culture or just "Phoebe's theory"? Are there any other literary quotations? Broad sense or narrow sense? Could I use it in routine oral English for fun?