You may say that all of the four common dimensions more or less allow for the very idea of scale to even exist, since scale is something that exists in these four directions. You may say that scale is not a dimension for that reason.
But at the same time it is the other way round and it is scale that allows for the other dimensions to even be thought or measured.
I want to illustrate what i mean by the example of the musical tone.
Every musical tone is a frequency. within the realm of music we use frequency's as well; vibrato's, rhytm, variation in volume, etc.
Yet, no one would say that a vibrato or repetitive rhytm creates a false tone because of the interference of the rhytm of the vibrato with the frequency of the tone. Very fast programmed vibrato's do this however. So the fact that we consider vibrato as a vibration and a tone as a tone has to do with difference in scale.
We can measure distances because of simmilar differences in scale in our physical world. We measure distances in units, but we presuppose that at some point when we stop disecting space and time in smaller units, space and time are fluid; We think a meter is a meter, because it is 100 centimeters, wich is 1000 millimeters, and so on, but at some point we stop thinking and measuring smaller units, simply because we suppose that you can infinetely go further disecting space and time, because we suppose they are fluid.
But they are not.
The only reason why we can make this assumption is because of the immense difference in scale.
Scale is something that determines our reality as much as the dimensions length, width, depth and time. Look at how 3D space seems 2D space at small scales, a bit like how the 3D earth seems a 2D surface to us, because of scale differences.
Maybe it isn't a dimension like the other four, but time isn't a dimension exactly like the spatial ones either.
Maybe scale should be seen as a sort of meta-dimension, determining the nature and implications of the other dimensions.
So this is why i ask the question 'is scale a dimension?'
But at the same time it is the other way round and it is scale that allows for the other dimensions to even be thought or measured.
I want to illustrate what i mean by the example of the musical tone.
Every musical tone is a frequency. within the realm of music we use frequency's as well; vibrato's, rhytm, variation in volume, etc.
Yet, no one would say that a vibrato or repetitive rhytm creates a false tone because of the interference of the rhytm of the vibrato with the frequency of the tone. Very fast programmed vibrato's do this however. So the fact that we consider vibrato as a vibration and a tone as a tone has to do with difference in scale.
We can measure distances because of simmilar differences in scale in our physical world. We measure distances in units, but we presuppose that at some point when we stop disecting space and time in smaller units, space and time are fluid; We think a meter is a meter, because it is 100 centimeters, wich is 1000 millimeters, and so on, but at some point we stop thinking and measuring smaller units, simply because we suppose that you can infinetely go further disecting space and time, because we suppose they are fluid.
But they are not.
The only reason why we can make this assumption is because of the immense difference in scale.
Scale is something that determines our reality as much as the dimensions length, width, depth and time. Look at how 3D space seems 2D space at small scales, a bit like how the 3D earth seems a 2D surface to us, because of scale differences.
Maybe it isn't a dimension like the other four, but time isn't a dimension exactly like the spatial ones either.
Maybe scale should be seen as a sort of meta-dimension, determining the nature and implications of the other dimensions.
So this is why i ask the question 'is scale a dimension?'