Quantum Geometry 2 (814 words)

Devoted to my Guru

Contemplating the Shape of an Atom

How can we visualize the level of a single atom? When I set out to write my book, it was mostly to prove once and for all that the conscious subjective experience is a Quantum Mechanical (QM) projection. At some point, I realized I had to also fully explain the QM nature of atoms. That is when I set out to find the true shape of the Periodic Table and connect it to the universal cardinality.

The Macrocanonical Scale (our scale)

Recalling that on the macrocanonical scale, according to Special Relativity as expounded by Lorentz, time intervals separate events (things that happen) and the size of such intervals determine whether one event can be the cause of another. Since information can travel only as fast as light, we note the speed of light = c (3.0 x 10^8 m/s) is the upper limit at which information held in massive systems can travel.

Thus a timelike (massive) interval satisfies:

Screen Shot 2016-06-06 at 9.15.26 PM.png(t is the time coordinate and r is the vector sum of the 3 spatial coordinates).

All this equation really means is if I start walking from the origin (where axes x,y,z meet), it will take me longer to reach some point in this space than it would take a photon (light quantum) departing from the same origin: a tautology, from an experiential standpoint.

Below is a guide to visualization but it is easy to see that any location in 3 dimensional space can be expressed as 3 properly chosen perpendicular displacements.

macrodimensionsShrinking to the Microcanonical Scale

First we can imagine how small a single atom truly is by using this visualization tool (4 choices of songs):

Mosquito Torture TechnoCheesy Dance Mix 95 song, Other Techno Song or the Actual song I listened to while I was doing the visualizations.

Below are the operators giving rise to the 7 rows of the Periodic Table. Together, these are the set of all permissible microcanonical arrays, or the Microcanonical Ensemble. Each enclosure represents 2 elements and the table builds from the bottom upwards.

The d() represents the operators of space and time, the smallest nonzero value of each.
(x) represents the cross or vector product, insisting that on the microscale, d(time) and d(space) are orthogonal. The Quantum Mechanical (QM) system is M0: the undifferentiated potential mass.

Since we are dealing with operators acting on a QM system, the equation below must be read from right to left (n.b.: the exponent R acts on each spatial operator separately that is: if R = 2, the differential vector becomes (d2(x), d2(y), d2(z)): the differential space vector acts twice in R2).

The operators acting upon M0 occur from right to left. In the first iteration, R = 0 thus (dx,dy,dz)^0 = 1, giving only (x)(x)dt, yielding the first two elements. Afterwards, the spatial differential operators act upon this dual (= 2 containing elements) time operators 1, 2 and 3 times. This method is iterative as well, so each successive operator acts on previous existing dimensions, giving the nested geometry we observe below.

periodic table with cross product 3

Starting from the bottom, we observe that the beginning of the Periodic Table is the beginning of microcanonical time.

If any more Energy is created, unmanifest matter now pushes into space. As they are massive, new microcanonical events (R1,2&3) must be separated by a distinct time operator (dt being the smallest of such intervals). The new time interval gives rise both to itself and to 2 identical space intervals. And so we conclude that at the end of the 3rd row, 1/3 of the independent microcanonical dimensions have been partially penetrated. As we move through the final 4 rows of the Periodic Table, we can note transdimensional saturation (radioactivity) beginning at the seventh row and culminating at element 118. Such a state exists but is maximally unstable. Thus its observed lifetime in the lab is vanishingly small.

For your learning pleasure, I have provided a slightly different visualization of the logarithmic quadrologizer with 3 different musical choices.

Upbeat techno by white trash reality TV celeb.
Ambient synth.
Music from Donkey Kong 2.

Beyond the Scale of the Atom

Heisenberg Uncertainty can be used to explain the radioactivity of every element on the 7th row: atomic stability is precluded by Quantum Uncertainty, guaranteed by the number of observations (dt, dx, dy & dz operators) existing within the same spacetime event!

…I am really trying to make this easy to understand here lol…

Electrons can have particular positions and momenta, but as these are not independent of observation are thus subject to the Measurement Limit. In fact, we henceforth denote radioactivity to be induced by the Measurement Limit of the Microcanonical Ensemble.

It turns out spacetime has the cardinality of 4: 3 identical, 1 different. They appear to have units of Space and Time on all levels of magnification, but can these mean what we feel they mean if such is the case? Could this help us to understand the Yogic teaching that “Time is nonlinear”?

… To be continued!

Jai Guru ❤



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