Temperate a scalar than why negative temperature?

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Negative temperature exists within the context of scalars, which can take on any value, including negative ones, as they lack directional components. The concept of negative temperature arises from specific temperature scales, such as Fahrenheit, where certain conditions allow for temperatures below the established zero point. This is analogous to how financial balances can also be negative, despite being scalars. The discussion clarifies that while distance as a scalar is typically non-negative due to the physical nature of space, other scalar quantities, like temperature and displacement, can indeed be negative. Understanding these concepts requires recognizing the distinction between scalars and vectors in various dimensions.
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What's the meaning of negative temperature if temperature can only be a scalar? Why the construction of negative temperature in degrees Fahrenheit?
 
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You get negative temperatures because it is possible to get things that are colder than the particular mix of frozen brine Fahrenheit used to set the zero for his scale.

Scalars are allowed to have any value - including negative ones.
It just means it is not a vector: it has no direction component.

The money in your bank account is also a scalar, and that can be negative too.

You are thinking of how distance, a scalar, cannot be negative ... unless you introduce direction.
However, displacement is a vector. It's magnitude is a scalar, and it's magnitude can be negative.
We just realize that a negative displacement means you finished at a position behind where you started.
It is not the scalar property that makes distance always positive, it's the physical nature of space that does this.
As soon as you leave 1D motion, the concept should become clear ... a position coordinate can be positive or negative, it is a scalar.
 
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