Analytic
geometry
Basically this is a good problem of technical
knowledge. Problem that causes the head to start scratching, and it doesn't get
out of my head.
I will leave the figure of example, it is a
problem between physics, mathematics and reality, as shown in Figure 1.
They might think it's a weird drawing. But when
you realize what you mean, that the rotation of an observer as in the reference
transition 1 and 2, the vertices of the line (0.0) (-3.0) intersect, as shown
by the dotted red line. But in reality, objects do not reverse, when we rotate
the neck in just under 90 degrees, and observe the same object. It doesn't
reverse, it doesn't mirror itself either. But in the drawing, it demonstrates
the coordinates of the vertices if they
reverseand cross opposite sides, when we consider as a stationary reference the
observer himself who rotates. In this case, as the theory of reciprocity says, within
relativity, all references can claim that they are the ones who are still, and everything is moving around
them, as demonstrated by the larger drawing, after the second arrow, the line
(0.0)(-3.0) convert and leaves a bad
impression, that beyond the vertices are reversed, mirror, given the dotted line. But the
reality is not so, objects do not invert, much less mirror themselves under a
rotational observer.
Answer:
Both relativity and the Cartesian plane could not
describe reality, because it needs a still reference so that the numerical values of mathematics can
be interlinked with reality, by the use of the Cartesian plane of coordinates,
because there would be no references still in reality, everything is in
motion e.g. you may feel that it is
still, but the earth is moving itself, around the sun, around the galaxy in one
direction of space. Even if nature show andthat there is reference stop
e.g. be sitting in a chair reading this, the space itself, that theoretically
each point of it can be considered the
center and everything move around it, objects that are under direct effect of
torque , cannot be represented as parked references, i.e. the theorem of
reciprocity, and general relativity would not apply. At the same time the references can claim that
they are the references that are still. Also, in thedrawing, so little is wrong to
represent the theorem of the reciprocity of references, even demonstrating an
inversion of the vertices that make up the observed object. There's a question. This is all a logical mistake, is it an
artifact? Or do we have to assume
they're both wrong? What do we need to
understand? Is there an inversion of the
vertices of the object? No, simply, objects that are under torque cannot be
considered paraded, so this representation would not be valid. At the same
time, there is no other way to represent itself in graph since the coordinates of the Cartesian plane
offer us do not agree with reality.
Even though the trajectory of the vertices in the
drawing, they show that the inversion of vertices in reference 1 actually
happens in the drawing when the observer suffers a torque, and then they are
supposed to mirror, with the use of the Cartesian plane. If thisis reality, then, as close as I can reach to
understanding, it has to do with a singularity of reality around the observer. It's as if reality mirrors around it when rotating, as for example, if a person were watching
someone and when rotating the body, this person to be observed wouldexchange
the coordinates of his body between right
and left. What doesn't happen, and if it does, is just amazing. I can't conclude the truth about the topic,
but I think it's impossible for reality
to be represented in graphs ofthe shape of current mathematics, with the
Cartesian plane. We may need to review
Euclid's axiomas.
However, while a person rotates, it remains still
still in relation to another frame.
This answer is neither a yes nor a no, but it is
very fateful, analytical geometry cannot represent the reality of rotational
objects in union with reciprocity, and if it succeeds and it really is so, even
if we cannot observe, it is fantastic.
I suggest a new kind of coordinate plan, still in
development, but that might cover this flaw. A toroidal plane, which departs from the
premise of always existing a central stationary observer, in a curved
space-time of toroidal format, as shown in the following image. This plane
would be able to supply the coordinate inversion failure, because it does not
use a fixed spatial coordinate, but rather a fixed central observer. It would resolve the parallax error, caused in
the first example, causing the vertices of the line in question to be
inversioned. Also disregarding the theorem of reciprocity of relativity.
In this representation, there is always an
observer, who finds himself in a cross-section of the toro, on the right side,
looking at the 12 o'clock. From there, time coordinates are used to position
and count the time itself that led to the displacement e.g. in three seconds
the object moved from 12 hours to one meter to 9 hours and 2 meters at angle 0.
From there, triangulation calculations are used to know the displacement in
relation to the object itself, from before to after. It can vary from a
braquisthchronous curve to a rectilinear trajectory, as the movements can be
translational or rectilinear. As for the rotation albeits, they are
independent, because it does not rotate in relation to another object outside
of itself and is not up to this toroidal plane.
Thus, the parallax
errors caused in the first exercise are removed, given by the reciprocity
theorem.

The object to be
calculated the trajectory in the toroidal plane, must er a braquisthchronous curve, the outer curvature
of the toro. That is, the size of the observable toro and the distance between
the observer and the observed, is equal to the radius of the toro. From this, the correct time coordinates are
obtained and the link is made between algebra and geometry.
To calculate the angular velocity of this curve,
the existing calculations are used, always considering a brachtopthochron curve
between the observer and the observed one.
In the case of the trajectory is not
braquisthonic, e.g. a rotation of the observed r to a point of the wall, an observed stationary,
becomes anti-baquistochron, that is, it makes the curvature opposite the curvature of the
toro.
In case the distance do observed between the
observer decreases, it is treated with MRU, if it is an MRU trajectory. The varied movements, on the other hand, are
perfectly accepted because they depend on the variation of speed observed.
Also in cases of irregular trajectories, it should
be treated in different stages, I will speak later.
The focus of the observer, thus, the position of
the toro, will always be the starting point of the observed, centered at 12 hours
at 0 degrees of altitude, thus obtaining, with the movement of the observed,
the brachitosynchronous trajectory or not. Fis triangulation between the observer and the
two moments of the observed, treating the opposite catheter of the angle of the
observer between the start and end point of that observed with MRU. If in this
case, the observed passes from the
brachtochronic curve of the toro, it means that it is in an irregular
trajectory.
To treat irregular trajectories, the focus is
changed to the point of the most distant observed, and the necessary
calculation is made in stages from the
farthest focus to the beginning and end of the trajectory. Bseanding with the
movement type of the observed, if MRU, with MRU, if varied movement, with
varied movement.
This is how you get the exact speed relative to
the observer. As I said, using the double time coordinates, latitudinal anglesand longitudinal angles.
In the event that observer is in motion, disregard
the toroidal plane, only works for parked observers. But since each point of space can be
considered a center, then any point can be considered parked and the toroidal
plane is applicable.
Answer 2:
There is no error between relativity and the
Cartesian plane considering that there are no torções that would cause such
distortion from one moment to another. It can be seen that if we divide the two
moments, the transition would be more circular, not like the two red dotted ones,
even if the result is the same, they are
reversed.
In fact, the movements are continuous and not
brittle as the image demonstrates, and this would make this graphic drawing not
condone what really happens, even if it is correct and the coordinates are
reversed after a circular trajectory, in the drawing.
Maybe that's where there can be confusion, a
contradiction between mathematics and reality. In reality objects are not
inverted, however, in analytical geometry yes, and it's okay to be that way.
Questions:
How do computers calculate in graphics games? Who spins in a game, player or map, in a spin
that the player produces with his hand, by using the mouse. What represents the inversion of direction of
the coordinates of the vertices of the observed? The signal?
This would be the same as saying that each person has his own arrow of time,
because of the theorem of reciprocity, since the situation of vertex inversion
occurs, why not the inversion of the arrow of time also does not? The arrow of time stretches at relativistic speeds, but could we also retract?
Or would she go all the way and
dissipate? What if we are objects in the
dimension of time, righteous, that we shrink and stretch in the fourth dimension,
each, again, in a new story?
By the fourth dimension of time:
Are we righteous, like precious stones, that
stretch and shrink, always living a new story? Is time polishing us, becoming
the best of ourselves?
Why does the fourth dimension have to be a
continuous line of three-dimensional and inanimate objects? Do you know what
the matter of time is? How is it constituted? Have you measured yourself
correctly? Have you seen yourself? Why doesn't life manifest itself in physics
or science when talking about the constituents of the world? How do living
beings having their form integrated into a dimension that we have not yet
accessed for a matter of time, and we shape ourselves and take new forms, in
this or another world (given that each one may have/be his own arrow of time)?
How come no one has also seen the time, to know if he is alive or not, and
perhaps as you said, shaping us? And if the magic that each reference point has
its own time, why isn't this the addition of a new temporal dimension? What
about new worlds, new paradises? Why does time pass and have to dissipate?
Isn't he somewhere like now?
And because we don't know where the old one ended
up now, why does it dissipate? Where to? Why do we have to be pessimistic about
thinking that everything leads to an end? Is there any proof of this?
I believe quite the contrary.
These issues are out of common sense, but they are
valid questions.
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