The faults associated are mine own: I do not always take the time needed to assess how others are accustomed to seeing something such to factor in. I will try to do a better job of this in the future, in the meantime hope others can bear with me for having no such discipline and/or orthodoxy.
dbundy wrote: ↑Fri Apr 10, 2020 9:41 am Wow. All this from the number four. It also turns out that the minimum number of units of motion from the combination of S and T units into the S|T unit is four:
S|T = 1s/2t+1s/1t+2s/1t = 4s|4t,
which can be shown to combine into all the fermions and bosons of the standard model, in three families, with observed charges, and these can be combined into mesons and hadrons, all with charge conservation. Meanwhile, the same number of four units of motion leads us to a simple understanding of the line spectra of Hydrogen and the Periodic Table of Elements (4n2), as a start.
Could there be a link between physics and the number four? Why does the number four (22) seem to be so fundamental?
Φπ² = 16 views the photon from the t³/s (energy) perspective. Here we see the axes in pre-discretion "pre-collapse".
E = MC² views the photon from the s³/t (velocity) perspective. Here we see not the axes, only the post-discretion "collapse".
Photons have a {beg/end}=false "flag", because they are not displaced from the progression such to ever begin/end. However,
photons have a capacity for birotation: this is the first fundamental discretion which demarcates a/the null-boundary binary {+/-}.
I call the birotation alpha/omega {Α+/-Ω} because they act as a universal null-boundary binary serving as a base for all binaries.
Thus: the first fundamental distinction {in/out} concerns the alpha/omega by way of one being one, the other being the other etc.
Remember Larson's box analogy: in order for motion to be, we must have an inside (time) and an outside (space).
The '4' can thus be expressed as a 2x2 axes: an {Α+/-Ω} "(bi)rotation" axis, and a {beg/end} "(dis)placement" axis.
The {beg/end} axis uses the {Α+/-Ω} axis as a measure of displacement=true/false. Photon=false, all else=true.
This can thus be used to bridge the physical E=MC² and metaphysical 16=Φπ², thus physical and metaphysical in general.
Applies well to the preceding.dbundy wrote: ↑Fri Apr 10, 2020 9:41 am Well, I think it's useful to realize if we take a point (20), expand its scale in one dimension, it has two "directions" (21). Expanding its scale in two dimensions, gives it four "directions" (22) and expanding it in three dimensions, gives it eight "directions" (23) The equivalent discrete geometry of this 3D expanded point is a stack of 2x2x2 unit cubes, which, regardless of how it's divided symmetrically, always results in two reciprocal sets of four, along three orthogonal axes. The equivalent continuous geometry describes three sets of volumes, which turn out to have a radii of the square roots of 1, 2 and 3, and the sum of those three numbers happens to be the one intractable number of the impossible squares. Go figure.
Very curious, for sure, but it doesn't stop there, although I will for now.
Indeed: it is all about rotation because that is where all discretion/displacement begins/ends.Djchrismac wrote: ↑Fri Apr 10, 2020 8:00 pm It's all about rotation and the quaternion, the suppression of James Clerk Maxwell was something I picked up on years ago that --daniel went into great detail about in part 5 of the Anthropology series:
Since imaginary numbers cannot be directly represented on the real number line, non-locality was introduced into physics, which was another hard pill to swallow. Understanding the quaternion as an expression of rotation hence not only clears up these problems, but clears the way after nearly two centuries of being lost in the woods.
http://www.conscioushugs.com/wp-content ... Daniel.pdf
If the axes holds, it can be used to directly address the question "from whence human suffering?" by directly addressing the "root" of all human suffering. By finding the axes as giving rise to universal roots (ie. legs as reflected in the beg/end axis) and universal operators (ie. arms as reflected in the {Α+/-Ω} axis) we can discern that all displacements are captured in/as the {beg/end} axis as some function of the {alpha/omega} axes. What I am thus suggesting is: because this axes is a constituency of the photon itself, human beings must share in the same constituency, thus having the same axes. Essentially, it makes the expression 'you are the light of the world' must less poetic and much more practical:
Notice how '888' is shared between the real and imaginary axes following from the tenth.
The imaginary axis is pre-discretionary whereas the real axis is post-discretionary, but both have the constituency of '888...'.
Yes, but note that only displaced rotational motion cannot be scalar if displacement(s) exist(s) ie. if not a photon.dbundy wrote: ↑Fri Apr 10, 2020 10:22 pm One of the important things to understand in dealing with the concepts of scalar motion is that it is scalar, meaning it's motion of magnitude only. Hence, rotational motion cannot be scalar, since it has direction. This includes bi-rotation, as iconoclastic as this might be. Since the days when the circuit sparked closed in Hamilton's brain, causing him to stop in his tracks and carve the quaternion equation into the stone of the bridge, the mathematics of physics has been designed to deal with concepts of vector motion, because no other form of motion was known to exist.
If/when applying the {Α+/-Ω} binary to the {scalar+/-not scalar} binary, the latter may concern/capture all displacement(s).
Displacement(s) (ie. cause of) is thus local to a body as reflected in their own beg/end axis (which has a null value in the photon).
In other words, what either alpha/omega is to one-directional progression (photon), the other is to gravitation (displacement). One becomes two.
That is: rotational motion can be either scalar (ie. fixed, as in the case of a fixed binary of co-negative equal magnitudes, discrete, with absolute magnitude =1 unit ea.) or non-scalar (ie. variable, as in the case of any non-photon beg/end=true body, discrete with absolute magnitude(s) of ≠1 unit ea.) thus beg/end=true/false discerns between a photon and "everything else" measurable using the photon as datum.
The main difference between the two is any/all discretion(s) and/or displacement(s) causing a "direction" in/over time has a beg/end, whereas a photon does not: it is bound to the progression.
If at the progression, there is only one direction: progression. All displacement is thus some relatively non-scalar magnitude(s) causing/reflecting a severance from. That would be everything else moving in circles as a displacement(s) from the progression.
Anything that is static (ie. does not change) is on the same "terms" as scalar: fixed, invariable etc.
'Discrete units' and 'magnitudes are absolute' can apply to a birotation that is rooted in a 'fixed' discrete binary of 'fixed' magnitude.
{Α+/-Ω} qualify as being 'fixed' each with a magnitude of '1' thus if/when counter-posed, become the roots of unity √1 as ±1.
Rotational motion thus can be scalar: one is the denial of the other such to negate. If one super-imposes two photons: the one spinning alpha magnitude: 1, the other spinning omega magnitude: 1, what you end up with is a null (static) +1 producing no change. This is the fixed/static 'state' if/until it is disturbed by a particular discretion (dynamic) -1.
For example: an object has "opposing" {Α+/-Ω} acting on it from opposite (180°) angles, magnitude: 1, thus is stationary.
If no discretion, the object remains stationary. If discretion, the same would be easing off one of them such to allow the scalar
of the other to move the object in a direction. Mr. Larson talked about this concept in one of his video lectures,
if I find the right video and timestamp I'll add it here (or if another knows which video I am talking about:
he was addressing questions at the end and this analogy was used by Larson). If coming at an object from both left and right, say,
easing off one produces a net result of the object motioning in the direction with less resistance.
64→d←64 = motionlessness, scalar/static +1
32→d←64 = discretion (discrete units) -32
d←32 = resulting motion
Thus discretion can be seen as discrete and absolute negation of one-of-two opposing scalar motions.
This discretion is as the '1' in-and-of (4+1) composing (5) in-of √5 thus in/of (1+√5)/2.
Another way to see this as a birotation is (1+√(√1+2√4)/2) wherein the first '1' (and upcoming √1) both concern unity,
√(√1+2√4) is equal to √5 (the birotation is 2√4 or alpha/omega/beg/end spinning in both directions)
and the /2 is the choice-between-two discretion.
Yes that's right: scalar motion precedes variability/vector motion, because photons are not variably (dis)placed:dbundy wrote: ↑Fri Apr 10, 2020 10:22 pm It turns out, however, scalar motion is as real as vector motion, as we now know, given the motion of gravity and universal expansion. In fact, scalar motion must be prior to vector motion.What Hamilton wanted was an intuitive basis for algebra that would put it on as sound a philosophical basis as geometry, and he started to develop it in his essay on "Algebra as the Science of Pure Time," but his obsession and fascination with quaternions overtook his philosophical quest to establish the science of algebra. Nevertheless, the triality of less-than, equal-to and more-than, which he found in his idea of time progression, is exactly what was needed for simple scalar motion equations in the RST.
yet discretely contain the alpha/omega axis giving rise to the apparent birotation.
The birotation concerns unity as the first possible discretion is {+is/-not (unity)} then{to+/-from (unity)} if/when displaced.
The displacement factors (must) reflect in the "roots" of any displaced body. This is the {beg/end} axis, which is null for photons.
If you point up to the ceiling/sky (above eye level) and draw clock-wise circles, if/when you look up you will see a clock-wise motion. However if you drop your circling finger below eye level without changing the motion, if/when you look down you will see a counter-clock-wise motion (without changing anything about the motion itself). Therefor the birotation is not actually a matter of two discernibly "different" motions, but the same motion viewed from two different perspectives. This is how/why the 'magnitude' behind the birotation is never different: always the same, thus static/scalar. It is another way of looking at the {Α+/-Ω}: they both share a magnitude but appear as one-or-the-other depending on relative perspective.
Thus of the pre-discretionary metaphysical '16' and post-discretionary physical '1':
{Α+/-Ω} = null-boundary binary (+/-) satisfying any/all possible binaries as subordinate to.
{beg/end} = true/false... if false, a birotating photon. If true, any/all else (only displaced bodies have a beg/end).
To close, here is the graphic extended to illustrate how Φ can be used to construct the human body
and how this can be used to establish an orientation system:
As Above... (universally bestowed):
{operators}={ALL+/-NOT}
{roots}={CAUSATION/CESSATION}
ALL CAUSATION/CESSATION = All Displaced (All not photon)
NOT CAUSATION/CESSATION =Not Displaced (All photon)
So Below... (locally employed):
operators={ALPHA+/-OMEGA} (implicitly/explicitly concerns universal {ALL+/-NOT})
roots={BEG/END} (implicitly/explicitly concerns universal {CAUSATION/CESSATION}.
"I am..." = discretion (= conscience, choice, consciousness)
{Α+/-Ω} = birotation (= discrete and absolute magnitudes √1 capturing ± binaries concerning the progression)
{beg/end} = biorientation (= false/true reflecting progression/gravity resp. thus concerning all displacement)
f(x) = x⁴ + 16x² - 256
f(x) = x² - x - 1
s³/t ↔ s²t² ↔ t³/s
v ↔ d ↔ e
s²t² = Φ²(16/Φ)² = 256 = 16²
s²t² = 4²4² wherein d is discretion.