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Propaedeutics: The Finite is finite, the Infinite is the Infinite, and the constants and universals describe the boundary conditions and transformations between each. The finite has only momentary instants of perfection; everything can be improved. The Infinite is a panoply of perfections beginning with continuity and symmetry.
PLEASE NOTE: This particular page was started early in December 2014; however, the work on the Planck Length began in December 2011. We are still finding simple errors within the chart below, so this page will be subject to frequent updates. Perhaps it goes without saying... as you read this note, I appeal to you to ask questions and make comments and suggestions. Thank you. -Bruce Camber
Why this chart was finally initiated: Since doing the base-2 chart of the Planck Length in December 2011, we've asked dozens of people if they had seen the base-2 progression from the Planck Time to the Age of the Universe. Nobody had. We were anxious to do a comparison between the progressions from the Planck Time with our Planck Length. Having talked about it for three years, we were delighted in the summer of 2014 to see the book by Gerardus 't Hooft and Stefan Vandoren, Time in Powers of Ten.
Although we were hoping to see base-2, it was a start. That added granularity (3.33 times more notations) would give us shorter durations which to study. Of course, we add, "There is a special magic in multiplying by 2."
On December 8 the tedious trek up the "time" progression began. Side-by-side, notation by notation with the Planck Length, we are glad to offer this chart for your analysis.
Our next step was to do the simple math for each of the Planck Units to see what we can see.
The Planck Time, like the Planck Length, is an actual value. It can be multiplied by 2. Of course, if one were to multiply it by 2 over and over again, you can assume that you would reach those outer limits. That process looks a bit tedious. After all, the Age of the Universe is somewhere over 13.78 billion years and the Observable Universe is millions of light years from common sense. Yet, rather surprisingly, to complete that effort doesn't require thousands of doublings. It is done in somewhere over 201 doublings. That is so surprising, the doublings for both are charted from beginning to end just below. We will also chart them within separate pages for what we are calling the really-real small-scale universe, human-scale universe and large-scale universe. For more, there are links galore in the right column.
Very Raw Analysis. These doublings do kind-of, sort-of end up somewhat in synch. Considering the duration and the length, and the nature of very large measurements, for all intents and purposes, they are synched! Though these charts will be tweaked substantially, the best confirmation is at the notations (or doublings) that define a second, an hour, a day, a week and a year in Planck Time units. Each corresponds closely (we assume exactly) to the distance light travels as measured by Planck Length units.
These are the first baby steps of analysis.
How many hundreds of steps are there to go to discern all the faces of its meaning? Who knows? From here, we will continue to look to see what meaning and relation evolves at a particular notation where one column appears to impart value to the other. Just on the surface, this chart seems to suggest that there are other possible views of the nature of space and time where order (sequence), continuity, symmetries, and relations seem to play a more fundamental role.
Science and our common sense worldview assume the primordial nature of space and time. As a result of our work with the Planck Units, we will hold that conclusion up for further inspection. How do things appear as one begins to approach the Planck Length and Planck Time in synch? As we add more Planck Units to this chart, what else might we see? What might we learn?
In February 2015 we added mass, electric charge, and temperature to these listings. That is still in its earliest analysis.
By the time we begin to add the derived Planck Units (12), we should have a preliminary analysis. and then we will ask, "Is there anything more we can do to establish a range from the smallest to the largest? What does a comparative analysis at each doubling reveal to us?
At this point, we are attempting to learn enough to make a few somewhat intelligent guesses.
So, as a result of where we are today, I think it is okay to ask the question, "What would the universe look like if space and time were derivative of order-continuity and relation-symmetry, and of ratios where the subject-object are constantly in tension?"
By the way, on May 10, 2010, the very smallest unit of measured time was experimentally demonstrated; the result was 1.2 × 10−17 seconds. That is a long way from 10−44 seconds! For more background, see: http://phys.org/news192909576.html
Please be patient: These charts are still in their first-draft phase. The best iterations can be found here: http://www.smallbusinessschool.org/page3054.html
Older versions yet to be updated are here: http://utable.wordpress.com/2014/12/12/planck/ http://walktheplanck.wordpress.com/2014/12/09/base/
If you happen to find our charts on LinkedIn, you will see that is very difficult to keep the columns in line. Some of the HTML formatting information has been stripped out and some of it is displayed. Over time, we will get it corrected. -BEC
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