d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
all that is needed in what way? Since it's already established that they can't rotate say 367 degrees; or recover that it is at 367 degrees....
A 367 degree rotation is the same result as a 7 degree rotation.
The difference would be merely the velocity (v = s/t) such to arrive at.
(If I spin a radial arm 367 degrees, then do the same only 7 degrees,
the outcomes are equivalent, though the means are not).
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
For an example a 5 segment arm with 5 motors that can go +/- 90 degrees, if they are all set at 60 degrees, the total is 300 degrees, which the quaternion only represents at -60.... so computing a minor change from the current position, ends up distributing -9 degrees and all the motors go from +60 to -9... all bad; This could be maintained in entire accuracy with simple additions.
I don't know what a 5 segment arm with 5 motors whose range of freedom is (restricted to) +/- 90 degrees
all (somehow) situated about the same 60 degree orientation... is meant to describe as (if) something "real".
To be real, one would have to begin with a quaternion of a photon.
This is why the "speed of light" (s/t = 1) should serves as a unit datum.
The axis for this photon is contained in/as the roots of the function
to which π as 4/√Φ is one-of-four roots, that f being f(x) = x⁴ + 16x² - 256:
±√9.88854381999... (beg/end location)
±i√25.88854381999... (Α/Ω direction)
These four roots compose a real/imaginary axis that couples rational/irrational
number relations (all of them), as Φ and π are the "scalar" relations associated:
Φ = (1+√5)/2 viz. couples irrational/rational
π = 4/√Φ viz. couples rational/irrational
π = 4/√Φ = √(8√5-8)
π² = 16/Φ = (8√5-8)
16 = Φπ²
(e = MC²)
1 = Φπ²/16
= Φ(π/4)²
...ad infinitum ...
Do you see the integer difference of '16' in the four roots?
This is how rational/irrational are in relation to one another.
Einstein's e = MC² is composed of a mass-electric scalar constant M
(whose properties resolutely reflect the same scalar nature of the golden proportion)
and a velocity-magnetic scalar constant C whose product is
energy.
How this relates to how to measure a circle: these four roots reflect the four
equidistant points that relate a unit square (space and time are discrete units)
to the associated 2r = 1 circle. Further: measuring the circle properly without
approximation shows that line and curve (implies: space and time relations)
are
reciprocally related. Reciprocity will be the key to future physics
because the physical universe is based on a bed of (incessant)
reciprocity.
EU has a chance to push this forward, but so far, no dice.
Again: the barrier is in the "approximation" of π rather than
leaving it as a discrete ratio of the (root of the) golden proportion.
The golden proportion gives rise to the perfect circle.
In other words: if you treat Φ as Adam and π as Eve,
from Adam comes Eve, thus from Φ comes π.
The re-coupling of these will spark a progression to a golden age.
This can not happen until reciprocity is consciously acknowledged
as principally underlying the laws which govern the physical universe,
as evidenced upon properly measuring a circle without "approximation".
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
3.1415926blah is a lot closer to accurate than 3.14460551103....
False - 3.14159... is an "approximation" which misses an entire constituency of the circle.
In doing so, it is impossible to sync/normalize to the scalar rate associated with Φ.
I know humanity has had this "approximated" value of π for ~2000+ years, thus is "believed" to be correct,
but this is the same problem I am highlighting: if there is no challenging of basic underlying assumptions,
there is no progress and human beings continue to circle/cycle through periods of prolonged ignorance/suffering.
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
And by that you're replacing one approximation with another; thought you'd at least have converted to a 1-norm arclength and have integral circumference.
4/√Φ
8/√ˉ2(1+√5)ˉ
-2√ˉ2(1+√5)ˉ + √ˉ10(1+√5)
√(8√5-8)
etc.
are
not approximations. These are all discrete ratios/relations of the same underlying relation
whose numerical output is 3.1446055... wherein 3.141.... is an "approximation" of the former, and
not the other way around (there is a lot of upside-down in Western academia).
Arc lengths are naturally quarters:
1/√Φ = π/4 viz.
1/√Φ + 1/√Φ + 1/√Φ + 1/√Φ =
π/4 + π/4 + π/4 + π/4 =
4/√Φ (and/or all above equivalent expression)
Let √(8√5-8) be C in/of e = MC²:
e = M(8√5-8)
e = 8M√5 - 8M
M = e(√5+1) / 32
Mass becomes Φ if/when e = 16.
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
I'm curious how you can apply 1/√Φ in any way to get an meaningful circularity
...1/√Φ is equivalent to π/4.
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
And you again forgot rotations... which are a dimensions of objects in space regardless of linear position or velocity. Every Game/physics engine has a position and an orientation, velocity and angular velocity, accerelation of of course angular accelerations. While it is possible to describe the rotations using sets of coordinates for bivectors and matrices; but can more simply just use X/Y/Z coordinates that are the angles of rotation. Any vector of rotation describes an axse
No, I did not forget rotations (?) - that is what the photon does, it rotates
and does not move relative to itself and/or other photons.
It actually has a birotation which incessantly allows a "choice-between-two"
as divided into yang-and-yin-like ± wholly dependent on the "charge" of the body
interacting with.
In this way, light is the conduit through which positive and negative charges
(equivalent: any dichotomy such as rational/irrational, real/imaginary etc.) transit,
the charge(s) itself being a property of the subject/object, not of the photon/light.
All a photon can do is (bi)-rotate, it can not accelerate/decelerate
unless apparently as a consequence of being introduced into a medium,
such as water slowing down light such to speed up again upon exit.
The underlying "rate" is fixed, hence it speeds back up again.
720° or 4π steradians is normalized to unity time: one single rotation from our perspective.
Note: rotations are non-commutative because order of operations MATTERS.
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
You say there is no time...
No, I do not say this anywhere. I said time is not a 4th dimension.
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
and then you define a bunch of terms with time. If time isn't a dimension, what is it? And what makes it not exactly like any other dimension with a measure?
Time and space are not two separate things - they are merely reciprocal aspects of motion.
They have no further significance than a numerator and a denominator:
s/t = v (speed)
t/s = e (energy)
___________________
space and time are reciprocally related viz.
s/t x t/s = 1 wherein '1' is normalized to unity.
s³/t relates 3D of space on a base of normalized (to light/unity) time viz. s³/1.
t³/s relates 3D of time on a base of normalized (to light unity) space viz. t³/1.
2º = 1
2¹ = 2
2² = 4
2³ = 16 = Φπ²
Time is not a dimension - it
has the same dimensions as space does.
Novae are explosions in 3D space, whereas things like
quasars are explosions in 3D time. There is no such thing as
"infinite mass" and/or "singularities" - there is a discrete threshold.
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
Dimensions can also be say... PVT (pressure,volume,temperature) ... or LC, EI (inductance,capacitance, volts, amps) and combinations thereof to get power, work, etc... but all of those are emergent properties from the base rotation and linear motion dimensions.
The only real constituency of the physical universe is motion.
All particles/molecules/atoms are particular configurations
of motion(s) of increasing complexity.
All particles can be described by some discrete displacement(s) from unity datum 1/1 = light.
If s/t = 1, it is a photon being described.
If s/t ≠ 1, it is "something else" being described as a displacement(s) from (in relation to) light.
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
There really isn't counter-space... other than (to programmers) a space containing scratch variables and counters; which none of which have any units or metrics.
All motion in time is counter-spatial. The underlying geometry is the inverse of space wherein
less space means more energy, hence recti- and polar-Euclidean such to describe the relation.
Implosion technology (rather than explosion technology) will be the future of energy generation.
d3x0r wrote: ↑Sat Sep 19, 2020 8:14 am
Pi is as good of a bit pattern as any; I'm not so bothered by having to multiply turns times 2pi... have to anyway when a force is applied at a radius of 1, for 1m/s then the circle only gets a arc-length/angular speed of 1/2pi m/s ...
(and I don't see how replacing 3.1415 with 3.1446 is going to make that any more correct...)
A circle with a
radius of 1 is not a normalized circle - you need a circle with a diameter of 1 viz. 2r = 1 or r = 1/2.
It is also necessary to understand that π is not a circumference/diameter relation (another false assumption),
all
diameters are resolutely a product of a doubling (2) of the real radius, thus a diameter is fixed as 2r.
Because 2r is what is needed to compose a right-angle and corresponding π/4,
2r/c/4 = 8r/c is the correct way to understand the underlying relation, and not
a "circumference to diameter" as "defined" by presumptuous mathematicians.
The golden ratio is practically in/of/as light (itself), thus
if not reflected in/as π, there is no scalar synchronization.
This is why the "approximated" π of 3.141... is "transcendental":
it has nothing to do with reality. The correct 4/√Φ is not "transcendental"
as π is describing a REAL radius in relation to four really equidistant axial points.
Such a relation can not be "transcendental" unless one has the wrong answer
due to wrong conception/methodology (this being the case for the "approximation" of π).
The correction to π will invariably spark tremendous scientific reformation, however
as we know, there are men on this planet that want all control and all power over all people.
The solving of e = MC² can be (has been) used to solve the biggest problem(s) on this planet
to
no degree(s) of error(s).