# Is there a concept of |x|<0? [closed]

I'm just curious, did any of the famous mathematicians consider |x|<0?

Would the zero have to be then not the additive identity and what else would it be then? (assuming you could build a field with this)

## closed as unclear what you're asking by Erick Wong, Daniel, Watson, C. Falcon, Daniel W. FarlowJul 1 '16 at 2:26

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

• What does $\vert \cdot \vert$ mean, for you? – GFauxPas Jun 30 '16 at 16:18
• "take the absolute value of $\cdot$ (which has to be greater or equal than the additive ID)" – SAJW Jun 30 '16 at 16:23
• Do you mean negative distance? Then search for Krein spaces and relativity theory. – A.Γ. Jun 30 '16 at 16:25
• What does "absolute value" mean for you? – Erick Wong Jun 30 '16 at 16:25
• In number theory, when one investigates, for example, numbers of the form $a+b\sqrt{3}$, where $a$ and $b$ are integers, it is useful to use the norm $a^2-3b^2$. – André Nicolas Jun 30 '16 at 16:38