Key Answer: The first 64 base-2 notations from the Planck base units (Length, Time, Mass, Charge) give us measurements that our accelerators cannot yet reach and may never reach. It appears that these can only be engaged with mathematical logic. With each notation we have no less than four numbers derived from our horizontally-scrolled chart of 202 notations.
On Measurement: Units in Particle Physics or: “What GeVs?” (Ken Cecire , 2002)
Protons: Protons and neutrons, each with masses of approximately one atomic mass unit, are collectively referred to as “nucleons“. The proton and neutron are both fermions, hadrons and baryons. And then, it quickly gets wildly complicated!
I wrote a quick note to Jackson on March 29, 2019: “Have you written a paper to explain this image? Quite fascinating. Is it possible to guess at what scale the lengths (distances) might be?” I often ask, “Do we even know the range of sizes for each particle?”
In this process I also found an expert on meson pair relations. He’s also an expert in group theory so I wrote to Prof. Dr. Eef van Beveren at Coimbra e Universidade (circa 1290) in Portugal: “If the meson range is 10−15 meters, and given your depth of knowledge with group theory, might we hypothesize that a plancksphere or John Wheeler’s quantum foam manifests at the Planck scale (10−35 meters) and begins to populate ex nihilo such that an infinitesimally-small stacking begins, doubling occurs, and a grid of planckspheres emerge?”
I continued, “There would be no less than 64 doublings, much like the wheat-and-chessboard* story, before we get into your domain for measurement of the mesons and meson pairs. Novel? Silly? We know that it is certainly idiosyncratic!”
Tweet: @iCatHalo Of course, Cathal, I was over on your Cosmos article: 09 MAY 2016
We are “sure” of our nanometer measurements. How about lengths in picometers? …femtometers? …attometers?
How much is mathematics and how much is a “measurement” per se? Can we define a boundary and the boundary conditions? Somebody at CERN, SLAC, Fermilab, or a similar lab should know.