202 doublings outline our universe.

Image of abstract geometric shapes representing continuity, symmetry, and harmony in a mathematical model of the universe.
A cosmic representation highlighting hyper-rationality, featuring spheres, octahedrons, and hexagonal plates, depicting continuity, symmetry, and harmony in an expansive geometric model of the universe.

PERFECTION STUDIES: CONTINUITYSYMMETRYHARMONY • USAGoalsGROK2018
HOMEPAGES:.Just Prior|Exponential| Derivative|Fabric|Hypostatic| Infinite|Redefine|Pi|ORIGINAL


72 of 202: A grid-matrix-system for everything, everywhere for all time, Not a theory or vision, just math.

If he had an integrated view of the universe, Einstein would have gone even further.

By Bruce E. Camber
April 2018  The prior homepage.  Today’s Questions.

The most tested-and-confirmed parts of Einstein’s theory of special relativity, especially in the face of Newton’s absolute space and time, were radical, but perhaps not quite radical enough.

Einstein’s principle of relativity holds that the laws of physics are the same in all possible inertial frames of reference. He says there is a “…constancy of speed of light-in-vacuum.”[1] That’s what we all learned. Yet it may not be absolutely true. How can we know that the speed of light-in-vacuum has always been the same value? Within our simple model, there is a variable speed of light (see line 10).

Framework: If his postulates are going to work, Einstein’s special theory of relativity requires that our universe is homogeneous, isotropic, and time-independent.  But, such a requirement is actually self-referential; it is a bit like the Ouroboros (snake) swallowing its tail. If he had had a simple mathematical framework for the universe, we all might have made more progress by now.

202 doublings within a Quiet Expansion. Focusing on the very first doublings, questions are necessarily raised about the nature of base-2 scale of the universe. Are the equations used to define Planck’s base units the best possible equations? With so much activity within those equations (and other key dimensionless constants), Einstein’s inertial frame (or what is called free space) becomes unlikely.

A Redefinition of Light. If taken as a given that the physical universe is derivative, finite, and quantized and the 202 doublings from the primordial base units are keys to define the current boundary conditions of the physical universe, each of the 202 doublings uniquely define light, concepts, and so much more.

Each doubling could also be considered an archetype, cluster, container, domain, group, layer, notation, set, or step.

Variable Speed of Light. Each Planck Length doubling divided by its corresponding Planck Time doubling renders 202 results that suggest there is a variable speed of lightThough experimentally verified that each value is independent of its direction of propagation, frequency, or the state of motion of the emitting body, it may not be independent of the values that define each Planck-length-and-Planck-Time doubling within a specific notation.  More. Key section. Chart (see line 10).

Our basic assumptions hopefully will become postulates:

  1. Our universe is based on four of the largest possible continuity equations — the 202 doublings of a primordial length, time, mass and charge.
  2. There have been 202 doubling of the Planck scale since the first moment of time.
  3. All 202 doublings are alive-and-well and defining our universe right NOW.  More 
  4. These doublings contain everything, for all time, everywhere throughout the universe.
  5. The universe begins with the simplest geometries, sphere-stacking, and quickly evolves, tiled and tessellated, between the Planck Scale and the CERN scale, first with tetrahedral-octahedral plates, then with hexagonal plates, and then with a diversity of plates.
  6. There is a natural inflation that defines our universe. More
  7. Although these doublings or notations have not been critically reviewed by the academic community (since being recognized for the first time in December 2011), the first group of 64 notations are considered to be the basis for homogeneity and isotropy, consciousness, and the mathematics of the most-basic forms, structures, substances, qualities, relations, and systems.  More

Summaries:

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[1] Albert Einstein, Nobel Prize, 1921
[2] Albert Einstein explains his famous formula


Today’s questions:

Perhaps a bit rhetorical, but don’t we all have a responsibility to open the best concepts about the nature of things for our students around the world?

We so rarely talk about the smallest and the largest possible units of measurement.

If continuity and symmetry (homogeneity and isotropy) fundamentally define space-time, how can we know how to define the inside parameters within which we work and live and play unless related to those outside parameters?

So, I have been asking since December 2011, “Can we adopt a mathematically-integrated view of the universe?

Our history: http://81018.com/home/ The most simple view uses base-2 from the Planck Scale — http://81018.com/chart/ — and goes to the size and age of the universe in just 202 notations! In 1957 Kees Boeke used base-10 to develop what is believed to be the very first integrated view of the universe. Many popularizes jumped on and improved it; but too easily and quickly, they all jumped over the steps from the Planck scale to the CERN-scale. We need to go inside those notations — there just may be very pure gold mines with pure silver and pure copper strands running everywhere!

Now, there are just 202 notations from the Planck scale to the size and age of the universe. That last notation is 10.9816 billion years so we’re still within the first third of it!

“So many people today–and even professional scientists–seem to me like someone who has seen thousands of trees but has never seen a forest . A knowledge of the historic and philosophical background gives that kind of independence from prejudices of his generation from which most scientists are suffering. This independence created by philosophical insight is–in my opinion–the mark of distinction between a mere artisan or specialist and a real seeker after truth.” — Albert Einstein

Unpublished Letter (7 Dec 1944) to R.A. Thornton, Einstein Archive, EA 6-574, Hebrew University, Jerusalem, Israel. Quoted and cited, Don A. Howard, ‘Albert Einstein as a Philosopher of Science’, Physics Today (Dec 2006)

Grok on 5 January 2025:

“In 1907, Albert Einstein shared his scientific ideas with several colleagues and friends. Notably, he discussed his concepts with Michele Besso, a lifelong friend and physicist who worked with him at the Swiss patent office in Bern. Besso was instrumental in Einstein’s thought processes, particularly regarding the development of the theory of relativity. Einstein acknowledged Besso’s contributions in the acknowledgments of his famous 1905 paper on special relativity, and their collaboration continued in the following years, including 1907.

“Additionally, Einstein corresponded with other scientists and intellectuals. One such person was Conrad Habicht, part of the “Olympia Academy,” an informal group of friends Einstein formed in Bern for intellectual discussions. He wrote to Habicht about his hopes for a new theory of gravity that could explain the anomalous precession of Mercury’s perihelion.

“Einstein also engaged in discussions with Marcel Grossmann, a mathematician who introduced him to tensor calculus, which was crucial for the later development of general relativity. Although this particular collaboration is more associated with the period from 1912 to 1915, Grossmann’s influence might have started earlier, contributing to Einstein’s thinking about the mathematical framework needed for his new theories.

“While these interactions are well-documented, it’s essential to note that Einstein’s scientific discussions were not limited to these individuals. His ideas were part of a broader scientific dialogue within the community. However, Besso, Habicht, and Grossmann stand out as key figures in his conceptual development during that time.”

Next step: How did Einstein meet Max Planck? Then, who is Michele Besso? …Conrad Habicht? …Marcel Grossmann?

Max Planck convinced Albert Einstein to move to Berlin in 1914 by offering him a professorship and attractive working conditions. Planck was a mentor and friend to Einstein, and was one of the first to recognize the importance of Einstein’s theory of relativity. 

Here are some details about Einstein’s move to Berlin:

    • Planck’s support Planck was a major supporter of Einstein’s work. He published Einstein’s early papers in his journal, Annalen der Physik, and quickly recognized their genius. Planck also helped Einstein advance in his academic career. 

    • Einstein’s arrival in Berlin Einstein was already a well-known figure in the scientific community when he arrived in Berlin. He was invited to join the Prussian Academy of Sciences. 

    • Einstein’s time in Berlin Einstein’s time in Berlin was set against a backdrop of tumultuous times, including the outbreak of World War I. Einstein’s friendship with Planck survived the war, but was later damaged by Planck’s conflicted patriotism and Einstein’s horror at the rise of the Nazis. Einstein never forgave Planck for not publicly protesting his expulsion from the Berlin Academy.