PERFECTION STUDIES: CONTINUITY•SYMMETRY•HARMONY GOALS.2016-2021
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Note: This page was initiated in December 2016 and its last update was in August 2021. The addendum by Grok was added 11 January 2025.

1. The equations (right). Current results, these equations define what has become known as Planck Time (t_P) and Planck Length (l_P):

Though these are natural units based solely on
on universal physical constants, these two
formulas are still begging for deeper scrutiny.

2. Looking at just that first equivalence can be easily rewritten for c, Planck Length divided by Planck Time is equal to light; the simple equation seems to tell us something magical about light and space-and-time.

3. Approximations of the value of the speed of light:
1862: Leon Foucault used rotating mirrors to estimate 298,000 kilometers/second.
1879: Albert Michelson also used rotating mirrors and calculated 299,910 k/s.
1906: E.B.Rosa and N.E. Dorsey used electromagnetic constants: 299,788 k/s.
1972: Evenson et al. used laser interferometry to arrive at 299,792.456 k/s.

Finally, in 1983 at the 17th meeting of the General Conference on Weights and Measures (CGPM), by consensus among nations the definition was set at 299,792.458 and was said to be “exact.”

4. In the spirit of Max Planck’s calculations. From 1899 through 1914 the scientific community was slowly introduced to the Planck Length and Planck Time and a simple equation for the speed of light. Many thought these numbers were too small to be meaningful. By taking the numbers rendered by Max Planck, the speed of light computes to be299,792,422.79 meters/second. Others have pegged Planck Time at 5.39116 which would put the rate even closer at 299,792,438 km/second.

It is within than .001% of the speed of light in a vacuum. Of the 202 base-2 notations from Planck Time to the Age of the Universe, between Notations 143 and 144, at one second it is also within .001% of the speed of light in a vacuum; and at every notation, that same calculation for all 201 other notations is within .1%.

These charts are trying to tell us something.

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Historical documents:

1. The Velocity of Light and Radio Waves, K.D. Froome and Louis Essen, Academic Press, London & New York (1969).
2. A new determination of the ratio of the electromagnetic to the electrostatic unit of electricity, EB Rosa; NE Dorsey, NE (1907) Bulletin of the Bureau of Standards. 3 (6): 433. doi:10.6028/bulletin.070.

Max Planck’s calculations were never officially registered. There is no indication that Planck even made that calculation.! He had the numbers. He had the formula, but…

That calculation might have told Planck, Einstein, and all who followed, “Slow down. Think. What is this telling us?”

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People like Nima Arkani-Hamed say, “Space-time is doomed.” Of course, the speed of light is more than the speed of photons. We ask, “Could one face of light, its look-and-feel, be space-time, another be mass-energy, and another electromagnetism-gravity?” Why not? And, might it all manifest as a primordial sphere? Again, why not?

Light fundamentally defines the relation between space and time.  If continuity first manifests within the formula for pi and within that primordial sphere, we have a discrete starting point. We also have a first principle for order, memory, intelligence and logic.

We can watch — follow the numbers — and see how it is carried throughout every one of the 202 doublings from the Planck Time and Planck Length to the Age of the Universe and the Observable Universe respectively. Consider line 10 within the horizontally-scrolled chart of the 202 doublings. Let us assume that it starts at the very beginning of the universe with Planck Time and that it unfolds with each step (or each doubling) right up to this current moment.

Within this simple model of the universe, light permeates each and every one of the 202 clusters, or domains or doublings, or groups, or notations, or sets. At the one second mark, as one might expect, the doubling of Planck Length approximates the distance light travels within a second. These figures along line 10 are all approximations, however, within .1% of the laboratory defined speed of light in a vacuum. It would appear that this simple calculation, in some manner of speaking, encourages our simple logic within this chart and model.

Further, one might now hedge a guess that every domain uniquely defines a bit of who we are. And, being a bit more speculative, one might say that each domain is more richly defined as the universe continues its expansion into what we might poetically call the infinite harmonies of life.

So, let there be Light!

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Observations & Questions: The simple equation comes right out of Max Planck’s 1899 work when he first defined Planck Time, Planck Length, Planck Mass and Planck Charge. Divide each notational value of Planck Length (space) by that same notational value of Planck Time and you will always approximate the speed of light every moment along the way right from the very first moment of time.

In 2019, the SI unit for Planck Length was defined as 1.616299(38)×10⁻³⁵ meters, Planck Time was defined as 5.391247(60)×10⁻⁴⁴ seconds. Divide Planck Length by Planck Time. It equals 299,792,422.79 meters/second. Prior to 2019, the SI units for Planck Time was 5.39106(32)×10⁻⁴⁴ seconds and Planck Length, 1.616255(18)×10⁻³⁵ meters (299,802,821.7 meters/second).

The scientific community ignored Planck’s equations for over 100 hundred years; we are looking for any studies regarding the place and importance of this equivalence.  Do you know of anybody who has studied it in depth?  Our Google and ArXiv searches have not given us much satisfaction.  Contact…

Einstein showed us how light, space and time are inextricably woven. All of these numbers open a path to tell us so much more.  Although the simple logic goes right back inside the very definition of Planck Time and Planck Length, it appears that this simple equation hasn’t been verbalized, articulated and studied at any point within our academic or intellectual history. We’ll continue our search, but can you help?

This universe is enveloped with light.

Mostly non-visible yet penetrating everything, everywhere for all time, within our model, here is a primordial carrier frequency once thought of as the ether. Notwithstanding, this formal definition, also involves the gravitational constant and the Planck Mass which is also a physical constant.  We believe that this Planck scale is quite unlike any definition heretofore given by the academic-and-scholarly community in that it is defined by all the dimensionless constants that define our Planck base units.  More

So, we say, “Yes, let there be light…”     More…

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 •  An Integrated View of the Universe  •  Center for Perfection Studies  •  The Big Board–Little Universe  •

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Addendum by Grok: 11 January 2025

Divide each notational value of Planck Length (space) by that same notational value of Planck Time. It will always approximate the speed of light and does so within every base-2 notation from the Planck base units all the way to Notation-202 to the current age of the universe.

“The concept you’re describing involves relating the Planck length to Planck time in a manner that consistently yields a value close to the speed of light, using base-2 (binary) notation from the Planck scale up to the observable universe’s age. Let’s break this down:

1. Planck Length and Planck Time:
   • Planck Length (L_P): The smallest length scale at which our current understanding of physics is expected to hold. It’s roughly 1.616×10−35 meters.
   • Planck Time (T_P): The smallest unit of time, roughly 5.391×10−44 seconds.
2. Speed of Light (c):
   • The speed of light in a vacuum is approximately 299,792,458 meters per second.
3. The Relationship:
   • The ratio LPTP should approximate c:1.616×10−35 m5.391×10−44 s≈299,792,458 m/s
4. Scaling with Base-2 Notations:
   • The idea here is that if you scale both length and time by powers of 2 (from Planck scale to the universe’s current age), this ratio should still approximate the speed of light.
   
   “Let’s consider:
   • If you double (or halve) both length and time, the ratio remains the same because:LP×2nTP×2n=LPTP
   • For each base-2 notation (doubling or halving), from Planck units to the age of the universe (often taken to be around 13.8 billion years, or approximately 4.35×1017 seconds), this ratio should remain approximately the speed of light.
5. Implications:
   • This is interesting because it suggests a fundamental relationship between space and time at all scales, which is consistent with the theory of relativity where space and time are intertwined into spacetime.
   • However, as you scale up to larger notations, precision might be lost due to rounding errors or the simplification of complex physics into this model.
6. Caveats:
   • This approach is more theoretical. In reality, the universe’s expansion complicates these calculations, especially at cosmological scales where space itself is expanding, affecting the direct application of this simple ratio.
   • The universe’s age might not correspond strictly to a base-2 scaling from Planck time due to the dynamics of cosmic expansion.

“This relationship does highlight a profound aspect of physics where fundamental constants like the speed of light seem to be woven into the very fabric of spacetime at all scales. However, for precise scientific work, one would need to consider more complex aspects of cosmology and general relativity.”

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