I am still trying to get my head around your use of "scalar." To me, it's a familiar term, but in the mathematical sense mentioned in several of the definitions discovered by a "Define: scalar" Google search, i.e.,
of or relating to a musical scale; "he played some basic scalar patterns on his guitar"
a variable quantity that cannot be resolved into components
of or relating to a directionless magnitude (such as mass or speed etc.) that is completely specified by its magnitude; "scalar quantity"
In physics, a scalar is a simple physical quantity that is not changed by coordinate system rotations or translations (in Newtonian mechanics), or by Lorentz transformations or space-time translations (in relativity). (Contrast to vector.)
In computing, a scalar is a variable or field that can hold only one value at a time; as opposed to composite variables like array, list, hash, record, etc. In some contexts, a scalar value may be understood to be numeric. A scalar data type is the type of a scalar variable. ...
In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector.
A quantity that has magnitude but not direction; compare vector; An amplifier whose output is a constant multiple of its input; Having magnitude but not direction; Of, or relating to scale
(n.) a single datum that is not an array; or (adj.) not having the property of being an array.
Refers to the successive condensing, manifestation or crystallizing of one or more information matrices to energy matrices or further on to a physical organ, for example a kidney. The scalar is a non-space bound link to the information matrix. ...
Text by M. Alan Kazlev based on original by Gary William Flake A single number, as opposed to a multidimensional vector or matrix.
An arithmetic object, or a pointer to an object of any type.
Any physical quantity with a field that can be described by a single numerical value at each point in space. A scalar quantity is distinguished from a vector quantity by the fact that a scalar quantity possesses only magnitude, whereas a vector quantity possesses both magnitude and direction. ...
A simple value in Perl, like a number or a string.
A data value (number); for example, element a of an array or the value of the variable X.
To speak of local, national, regional and global scale makes perfect sense to me, albeit with the reservation that these are only three of a continuum of possible scales whose effects are like those of a zoom lens on a camera or microscope: depending on the scale of the observation (1x, 2x,.....nx), we see different things. I take your word for it that geographers use "scalar" in some more definite sense. Can you point us to a reference or two where we can see how it's used?
I think that globalization is much more complex than what might be apparent at first sight. My work, for example, is on the growing Chinese influence in Zambia; and the Indian influence in Zambia is not something that can be ignored either. The Zambia Tanzania Railroad was build, by the People's Republic of China, from Zambia to the coast of Tanzania between 1970 and 1975, at a cost of about US $500 million and is still, as far as I know, the largest infrastructure development that was ever undertaken in Africa. The People's Republic of China could hardly be said to be a Western, European, or US force, especially not in those days! Also, if you, like me practice an hour and a half of Yoga per day you have been under an Indian influence, however subtle it may be and if you are in a PhD program in the US, like I am, you will find yourself surrounded by many Chinese students these days. This is in no way the end of it, there is a China-town in every major city in the US and now in every major city in Africa and there are little Koreas and little Tokyos ...in New York City there is now a little Eritrea and a little Ethiopia ...etc. etc. Most of our cloths and manufactured goods are made in China and Taiwan and in Bangladesh and the people who answer the phone when you call your service provider and you finally get through are likely sitting somewhere in India, unbeknownst to you (because they have perfect American accents). At some point the US had sold the Rockefeller building in New York City to a Chinese firm, in order to service a loan!
But all of these forces have always occurred ...think of the potato, it came from South America and then a century or two later, the Irish could not live without it anymore ...they were dying in large numbers, during the infamous potato famine! Spaghetti, or noodles in general, came from China and the 0 (read, zero) came from India. When "we" (the Europeans) had "our" dark ages, the middle eastern Muslims preserved the writings of "our Western" philosophers, Aristotle and Plato etc., for "us" and added many of their own thinkers, such as Ibn Khaldūn to the cannon, that the Germans and Americans later quoted. I could go on about this mysterious force, called globalization, forever, but it should be clear by now that it isn't just a Western force and that it never was just that.