Final answer:
The similarity in the order of magnitude (10^61) of the universe's width, mass, and age when measured in Planck units is an interesting numerical coincidence. These units arise from the mathematical frameworks and cosmic measurements used by scientists, with the constants themselves like the Hubble constant being derived from observations.
Step-by-step explanation:
The question is about whether the approximate size of the universe's width, mass, and age being 10^61 Planck units (length, mass, and time) is coincidental or chosen. Scientific observation estimates the mass of the known universe at about 10^53 kilograms, but when expressed in Planck mass, it approximates to 10^61 Planck mass units. Similarly, the age of the universe is currently estimated by astronomers to be around 13.8 billion years, and the early universe's rapid expansion, which is believed to have started from a singularity, correlates with the Planck time. It's important to note that while these figures, when expressed in Planck units, do exhibit a curious numerical pattern, this relationship is not indicative of an underlying purposeful choice, but rather a fascinating coincidence that arises from how we express these vast cosmic measurements in Planck units. The scale and constants themselves, like the Hubble constant and Planck units, are derived from observations and the mathematical frameworks scientists use to understand the universe. These numerical coincidences are interesting but are not suggestive of any deeper meaning or choice.