Human Scale versus Universal Scale
KRS Murthy
The human scale has been, for most of the history, the scale of objects on the earth, the sky, the waters, and the heavens that could be seen with the naked eye and experienced by our five senses. Scientists have discovered and delved into scales slightly beyond this scale experienced and understood by the common man. In the recent decades with the telescopes, beyond the scale visible to the human eye, astronomers and aerospace scientists have exploited the full electromagnetic spectrum from radio waves to gamma rays to see farther into the universe, deeper into the sky and also back in time few light years. Nanotechnologists and quantum physicists have uncovered the secrets of the space-time realms that are not apparent to the commoner, to appreciate the wonders down to subatomic scale.
Humans with ten fingers probably based their arithmetic number systems to base ten, that we call as “decimal number system”, that has been the foundation of all our knowledge, measurement and comprehension. For scales that are larger and for parameters that grow and behave exponentially, the logarithmic system of representation has been developed. However, the universal scale is too large to be represented the same way from the smallest in elementary particles to the size of the universe reaching out to the Hubble horizon.
Planck scale is used at the lower limit realm of elementary particle scale, defined and limited by the speed of light. Planck length is at 10 to the power of minus 35 meters, whereas the Planck time is at the 10 to the power of minus 43 seconds. The Planck scale limit is imposed by and defined by the speed of light of 300,000 kilometers per second or 300,000,000 meters per second or 3 X 10 to the power of 8 meters per second. To travel the distance of Planck length of 10 to the power of minus 35 it takes 10 to the power of minus 43 seconds. All these numbers have many zeroes before the decimal point on the universal scale, and after the decimal point for elementary particle and Planck scale.
Using the logarithmic scale of representation to base ten is not enough, as the full range from the smallest to the largest in the universe requires almost 100 zeroes. Even when we jump from a base of 10 to a base of 1000, the number of digits requires more the 35 zeroes. I suggest that we use a base of one million or a billion to reduce the number of zeroes to 16 or 8 respectively. I know that humans were not born with one thousand fingers or one million fingers! We could deal with fewer numbers of zeroes by moving to a base of one million or one billion.