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Don't worry, it's impossible to imagine.
Evolutionarily, our brain is adapted to see a two-dimensional picture and reconstruct from many frames with changing viewing angles a three-dimensional sense of space with a sense of perspective, distances and mutual positions of three-dimensional bodies in this flat picture. It was a matter of life and death. Evolution has taught us this very well.
But don't be fooled. Our brain is tricky, in conditions of complete inability to process all video information, it very successfully simplifies it by highlighting the main thing and discarding everything else. But even this is not mathematically correct. Optical illusions reveal these simplifications.
The black circles are the same.
… And cars, too ;). As for me, this photo blows up the brain more because it relies on a real photo of the world.
This is why mathematicians work with formulas and formal operations. They help where the human imagination and intuition are already hopelessly lost and unable to draw logically correct conclusions.
However, mathematical thinking and imagination can be trained… For mathematicians. This is unlikely to apply to non-mathematicians, so the answer is the same: don't worry it's impossible to imagine.
There remain formulas describing four-dimensional, five-dimensional, … space. They have clear mathematical rules and properties. With this, the human brain is able to cope and build a correct geometric theory. Mathematicians who work professionally with this method have a corresponding mathematical imagination and can imagine the elements of these calculations in their imagination, which can significantly help them in understanding and searching for unusual solutions. Everyone has it in their own way.
Well, popularizers can create the illusion of understanding by telling you that tesseract is not difficult. And even a simple picture
Oh, well, it's really that simple! Only, usually, this is just an illusion of understanding. In fact, you just made a point that “everything is clear” here.
I will answer on behalf of mathematicians: you can imagine a 4-dimensional space and make constructions in it. And even “work” in higher-dimensional spaces.
How is this done?
The simplest (initial) method is to select parts that have a smaller dimension at each stage of solving a multidimensional problem. For example, a line segment in a 6-dimensional cube is just a line segment. A plane is a regular plane, and so on.
Then you need to learn to understand, for example, that two planes of “general position” in a space of dimension 4 generally intersect only at one point.
Etc. As one of our politicians said:”The main thing is to start, and then expand and deepen.”..
To do this confidently, you need quite a long training session. And some abilities.
There are mathematicians who manage to make geometric constructions freely in their minds in multidimensional space. I once knew a geometer who calmly explained to dumbfounded students how a complex polyhedron works in 4-or 5-dimensional space. And he really saw it! But this is a special ability, and it is not even given to all mathematicians.
How to represent a 4-dimensional space? A thought experiment
First, you need to understand what spatial dimensions are. I explain, not being a physicist, as a layman.
Let's start with the dot. A point has no length, width, height, or any other dimension. In fact, it is an” object ” devoid of any meaning. Absolute nothing.
A point begins to “materialize”, to acquire at least some meaning, when it has one of the dimensions – length. Then it becomes a line. But the line is also a very “strange” object, because it seems to have a length, but from the point of view of width, it is also empty and nothing.
Accordingly, the line begins to make sense when it has the following parameter – width. Then it becomes a plane. But the plane in terms of height is also emptiness and nothingness, a bagel hole.
Accordingly, the plane begins to make sense when it has the following parameter – height.
It is difficult for us to reason further, because we are inhabitants of a three-dimensional world. But we can reason by analogy.
That is, our world from the point of view of some four-dimensional view is also meaningless, because according to one of the parameters it is a dummy.
And it becomes meaningful only when a new dimension begins to manifest in it.
The manifestation of this new dimension in dynamics is time, which flows for us, just giving meaning to the three-dimensional world.
Accordingly, we live inside a four-dimensional world. And when we see the expanding universe and other processes developing in time, this is our view of the 4-dimensional world, but from the inside.
Unfortunately, we can't imagine what it looks like from the outside.
Something like this š
How to represent a 4-dimensional space? A thought experiment
I usually imagine it in the following way:
Imagine a point. Then imagine a straight line of points. This straight line will be a one-dimensional space for us. A plane is a two-dimensional space that can be represented as a straight line, where each point is actually another straight line. Three-dimensional space is a straight line, where each point is associated with an entire plane of points. Multiple planes along the same axis. What does it look like? On the book. Imagine an infinite book, there are an infinite number of infinite pages. Now imagine another straight line, but each point on it is a book like this. That is, literally a shelf of books, only each book on the shelf occupies one point, and inside this book is infinite. You can also imagine a five-dimensional space-like a bookcase. A straight line, where each point is a shelf, which is straight, where each point is a book, which is straight, where each point is a leaf, which is straight, where each point is a straight line, on which each point is just a point. And so you can build up indefinitely.
But I'm not a real mathematician, I can simplify things.
The real answer of a mathematician from the series “mathematicians joke”.
To imagine a 4-dimensional space, you must first imagine an n-dimensional one, and then put n = 4
Understanding 4D is easy. Let's start with 1D. It is called exactly 1, because there is one space for movement-up and down. 2D – top, bottom, right and left. 3D – top, bottom, right, left, front and back. And 4D – top, bottom, right, left, front, back and and another space. Some sources say that this space is a passage through and through. But these sources are unreliable and not logically reliable.
But not everyone can imagine this. But there are already 4D games. And four-dimensional is not the last space. There are an eternity of such spaces, it's just impossible for us to imagine.
Well, why not? I can perfectly imagine a five-dimensional space, which I adhere to from the position of eternalism. This depends, first, on the development of the imagination, and secondly, on its deviations from normality. A person who suffers from school triviality cannot.
A simple way to understand and imagine what adding one more dimension to our three dimensions does is to use the example of a seemingly routine task:
Let's take a long enough thread and, without breaking it, entangle it in an arbitrary tangle. How to unravel this tangle now?
To understand the solution of this problem in the 4th dimension, imagine that we have a bug crawling along this tangled thread from one end to the other. We will mark the time of its position on the thread by the clock. If you now add the time axis vertically to our ball of thread lying on the table, then in the space above the table you can draw the time path of this bug. It is obvious that all its positions on this path will be strictly ordered, i.e. the previously entangled path now turns out to be unraveled. So adding an extra dimension to our three unravels any knots.
If we know a 3-dimensional space, then we can easily imagine another dimension at the top. This is analogous to representing a 3-dimensional in 2-dimensional.
If your 3D world changes over time, then it is not necessary that the 4th dimension is time. The same applies to temperature, day, night, pressure, moving at speed, under the general concept – energy.
The 3D world is perceived by humans only as static. The brain just determines other dimensions due to the fact that it subtracts the static environment from there. In a word, 3D is the basis for perception of the rest of the world.
It is pointless to consider any space if there is no observer in it. For each person, for each animal and living individual, space begins with him. Trying to imagine a space without yourself is pure fantasy and imagination.
I am a point from which 4 rays radiate into the surrounding space, which are the dimension of space. Three rays form only a plane, and five rays will already be a linearly dependent system, they are no longer coordinate rays. 4 beams remain.
There is a law of the universe called the law of simplicity. All other coordinate systems of 4-dimensional space are more complicated, and therefore not true. Scientists include time in the 4-dimensional space, but time is firstly not a spatial or directional quantity, and secondly, time measures the duration of rest, immobility, as any individual characteristic, or any combination of characteristics.
I've been saying this for more than 5 years. I guarantee that in the near future, some well-known scientific celebrity will “overshadow” and she will say what I just said. And then everyone will start cheering, shouting about a new era in science, etc.
Place the center point in the center of yourself – stretch the lines of the first small cube with your imagination-these are the boundaries of your body , unfolded by the star. Then extend the lines further to the size of the room and you will get the space you are looking for .To see 4, you need to become 5 – only then everything will work out.
There is a conflict of concepts in the question itself. Why understand a different space when this concept was laid down in three coordinates? Why should time be “mixed” with space as a separate tool?
The author most likely asked questions of this kind:
From my point of view, time and space are in “conflict”, due to the absence of the former!
The best way to represent a 4-dimensional space is by analogy.
Also, it is important for us to understand that the generally accepted image of a tesseract is not a hypercube. A four-dimensional figure cannot be displayed in three-dimensional space, so what is depicted as a tesseract is not a hypercube, but a projection, an attempt to convey the essence of a four-dimensional figure. The inner cube is not located in the place shown, it is equal in size to the outer one. The common image of a 4-dimensional cube is more likely to mislead than convey an idea, if you take the visible literally.
The animated projection of a rotating tesseract is not a rotation of a hypercube. This process is an attempt to convey what a four-dimensional cube is.
Similarly, when a tesseract is expanded into three-dimensional space, the available visual processes are conditional, since we will not see the process of selecting cubes from the central one, as stated in the available videos on this topic. It would be misleading to imagine that this is how the tesseract unfolds.
What's the point of trying to figure this out? I think you just need to be able to work with it. The kinematics problems of lever mechanisms can be reduced to solving underdetermined systems of nonlinear equations. The dimension of the variable space in such systems is very often much larger than 4. If you look through the dimension lens at the parametric equation of a circle, it will be two equations and three variables, that is, in 3d it is a spiral. And the sphere is even from 5d, if parametrically. You can see other 3d projections of it, which is easy, but what's the point?
This is elementary!!! Every mathematician can do this. For simplicity's sake, I'll explain with an example: imagine an N-dimensional space, and then put N equal to four…
It's easy to imagine a three-dimensional object. But if you try to imagine (usually this is the problem, since here the brain works in a different mode) a complete picture of the movement of this object in the past, and, as a result, in the present and future, then this will already be a view from four-dimensional space. Of course, it will be very useful to remember that Space is not the distance between objects, but a path deep into materiality, into the microcosm.
Neither one-dimensional nor 2-dimensional nor 4-dimensional does not exist in our world, so you can imagine as much as you want, but it is not there and that's all, there is at least 15 on paper, it will endure everything…. so you can continue to search and imagine, but you won't physically find it in our Euclidean space….. most likely, there is a parallel universe, maybe 3-dimensional like ours, or maybe 4-dimensional initially with its own laws, but in our universe there is no 4th dimension, even if you crack, since the laws of physics in our world are such that there is no 4th, how not to look…. in general, we can assume that the fourth dimension is a parallel world with again three-dimensional space, but not one-dimensional and not two-dimensional….. time is not a precise measurement, it is invented by humans, as is temperature… we can assume that we are like microbes in a limited basin…. and we can assume that the Fermi-Dirac sea is some kind of 4th dimension in our universe, but for a special type of matter to which we do not relate either because we have mass, like because of the fucking Higgs bason and its field, but this is not accurate, this is an assumption …. there are properties of our space or universe that have not yet been studied and we fantasize….and so on assumptions, and on fatku there is nothing nor where, but there is everything and everywhere….dialectic turns out
In fact, the analogy is much simpler. A four-dimensional cube is a cube in which each point has one more parameter besides three coordinates, for example, color. I.e., a four-dimensional cube is a monotonically shaded cube with a color that is taken as one.
How to understand a 4-dimensional space?
This is very difficult. But if you simplify it, just look at the sky:
Answer: 4-dimensional space is a three-dimensional volume and the time of its existence.
I tried to use 4-dimensional space in my short fantasy story. And I included a popular lecture there – I don't know how well it turned out.
http://samlib.ru/p/proswirnow_a_j/bd_21_dela_serdechnye.shtml
Scientists of modern physics and geometry have long been practicing dual illumination of aspects, describing new hypotheses, both from the point of view of quantum mechanics or SRT, and, at the same time, from the side of superstring theory.
The descriptions of one – dimensional space as a line consisting of points radiating from a vector in any direction revealed in the topic are an inventory of a metric of any complexity, which was perfectly presented to us by Carlos Castaneda in his works “The Teachings of Don Juan”, where the vector is called a large emanation…
Follow the link below: https://yandex.ru/q/question/opisanie_bolshikh_emanatsii_eto_nachalo_8ffe43e7/?utm_medium=share&utm_campaign=question
Š Š·Š“ŠµŃŃ: https://yandex.ru/q/question/a_esli_my_i_v_samom_dele_zhiviom_v_nekoi_30b02b30/?answer_id=adcfc0bc-7a63-4b83-9f66-b6836410ef2d&utm_medium=share&utm_campaign=answer#adcfc0bc-7a63-4b83-9f66-b6836410ef2d
If four-dimensional space does add time, and this seems to be the case, only the public and the scientific community often mitigate this with delicate formulations and reservations – then our entire universe floats in matter, in something called time. Inside the universe, objects spin and spin as they should, but ALL this simultaneously floats forward in substance time. As yet unexplored and not weighed in laboratories substance, the study of which I personally have high hopes – for example, the ability to stop time in one small canister would be an ideal way to freeze a person.
By analogy. You can draw three-dimensional shapes on paper, right? So you can imagine 4-dimensional ones in space. For a 4-dimensional space, there are theorems analogous to those of stereometry. First you need to understand them mentally and think about it a lot, eventually you will develop a 4-dimensional intuition and you will be able to operate with 4-dimensional images as easily as with three-dimensional ones.
Personally, I became interested in this topic in the 2nd year of the Institute. Since there was no literature, I had to get to everything with my mind and intuition. By the way, analytical geometry helped a lot.
I also learned how to draw stereo pairs, so I could always draw a projection of some 4-shape into three-dimensional space and look at it.
I'm not a physicist, but rather a lyricist, and yet this is how I imagine 4-dimensional space… First, it should not be represented in geometric terms in terms of length, width, and height. It is impossible to link time to these parameters, but it doesn't depend on the word at all. 4-dimensional space can only be represented in physical terms. These are speed, time, distance, and gravity.
And, secondly. Let's take a one-dimensional point in the space of our Earth, start a straight line from it, translating the point into two-dimensional space. What will happen ? That's right-a circle. Let's stretch our point, transform it into a strip, i.e. give it two dimensions, and again stretch it in the space of our Earth to the right, to the left. What happened? Oops! An empty sphere! Let's add height to the point stretched into a stripe. And repeat the process. And this is Thor! So why represent a 4-dimensional space as cubes?
The view from three-dimensional space to four-dimensional is reflected in painting in the method of reverse perspective.
A view from above lying to below lying as if from the side.
That is, the viewer must be out of space.That is, nowhere or everywhere.The body conditions thinking and binds it to a point,but if you abstract…
As a Cartesian square of the fourth degree for the original space. Simply put, a four-dimensional space is a map ļæ½f: A^n – > A: A x A x A x A… n times ļæ½
So, if initially we have a set of real numbers R, then its Cartesian square is a set of ordered pairs of the form (x;y), where each x and each y belong to R.ļæ½
It is easy to see that a certain binary relation on a set is just a subset of the Cartesian square.
The fourth dimension is deep into the microcosm, the space of particles, molecules, atoms, nucleons, protons, neutrons and electrons, all sorts of quarks, quanta, etc.
First of all, you need to determine the meaning of the word SPACE.
SPACE-from strangeness, surprise, enticement.
Dimensions: length, width, height, gravity,magnetism, density, temperature, illumination, etc.
I think everyone understood. Stop sucking stupid questions out of your finger and looking for great-wise answers to them.
It is quite difficult to understand and imagine. In two-dimensional and three-dimensional spaces, everything is clear, but in four-dimensional space, another important component is added – time. And this concept, as you know, is relative.
Very simple. There is a visible world – a three-dimensional one, the next dimension is, for example, hearing, another smell-this is already a 5-dimensional space. Measure-height, width, length + sounds, smells, colors, hardness, temperature + a huge amount of knowledge about each object and its interaction with other objects – this is an even huge number of dimensions. Don't you think so?)
Dimensionality does not play any role in the formation of space, because it is a mathematical abstraction and nothing more. The basis for the formation of material space is the logic of describing the simple interaction of form A and form B – two “big bangs”, in an arbitrary number of dimensions, as well as an elementary motion that creates relative units of distance and time, which is called the speed of light.
THE SPACE of WANDERLUST, oddity, wonder. Something that attracts the eye.
It is a great mischief to call a VOLUME a Space.
The oddities in the volume can have a great many dimensions.
By and large, volume is not of any importance.What matters is what the volume is filled with.
Imagine it as it is, three-dimensional, because the fourth coordinate-time, is a mathematical convention for describing the properties of (expanding) unquantized space! Time, both intuitively and measurably, seems to us isotropic, like space itself, but gravity bizarrely causes relativistic effects, as a result of which even “simultaneous” local processes in different directions do not proceed synchronously at all, although the difference is so small that it does not affect the course of our everyday life, but without taking into account the SRT/GR corrections, it is impossible to accurately calculate jet motion in space, build a global positioning and navigation system, “catch” gravitational waves, etc.! By and large, time itself is an integral property of space proper!!!
In the question, the verbs are incorrectly rearranged – first imagine, and then try to understand, realize. And why 4-dimensional? Nobel Prize winners have long since determined that space is 54-dimensional. By the way, in the Vedas, in the sastras about cosmology, the same figure is indicated. So you're a little behind the times….And you can even imagine it-in the form of a projection. Any body in our Solar System, whether it is the body of a human or a planet, is multidimensional, that is, it contains many bodies within itself. Some of them are manifested, some are not manifested in the material world. But with each scientific epoch, technical means appear that allow us to see another hidden body in multi-dimensionality: the subtle body inside the gross one. For example, the discovery of Kirlian allowed us to detect one of the dimensions of the body, not only human, but also plants, etc.
To construct a 4-dimensional space, you need to direct an additional coordinate axis outside the 3-dimensional space, i.e. to nowhere. Well, once in nowhere, then we will not suffer with the construction of an additional axis. It doesn't exist in our space. If a 4-dimensional space exists, then it surrounds us and interacts with the 3-dimensional one every moment. We notice these interactions and interpret them in some way (the gimlet rule, the right-hand rule, etc.). Imagine a Brownian motion in 4-dimensional space and virtual particles appearing out of nowhere and disappearing into nowhere. Just fly past sometimes intersecting with 3-dimensional space. Because of our 3-dimensional vision, we don't know what we look like in 4-dimensional space. Probably divinely beautiful, it is a pity that they have not yet come up with glasses for visual perception of 4-dimensional space.
It's very simple. Imagine a flat bug crawling on a leaf – this is an image of existence in two-dimensional space. Now imagine that someone is watching from the side, that is, from 4-dimensional space, as we crawl in our 3-dimensional space around the globe, but you can not see it-it is not given, there is not enough spatial imagination. This is how it looks from the outside – from a 5-dimensional space. Is that clear now?”
Space is always three-dimensional, do not confuse mathematical dimensions and physical ones, these are different things for different purposes, for which things to write for a long time. The space is divided into many three-dimensional structures as a single whole, figuratively it is like rooms in an apartment.
At this elution stage, seven are fixed, three are stable, this is the mathematics of complex numbers in its development, it can be seen there. But then the most interesting thing is that the new stage is closed to humans (we don't confuse it with ourselves, we have five percent of humanity in us, the rest is religious nonsense, but everyone else in the world doesn't have that) and we can deploy and create and approve any number of dimensions, billions or more, at the level of the laws of Nature, this is called evolution in evolution.
An (N) – dimensional observer sees an (N+n)- dimensional object in a completely familiar form, but does not have the ability to understand that it is only a fragment of something more complex. The same (N)-dimensional observer sees the entire (N-n)-dimensional object and is aware of its limitations and primitiveness.
Color a 3-dimensional space, why move it? here's the 4th dimension.
Make a different density (air water solid) here is the 5th measurement for you
set the temperature of each point (cold is hot) here is the 6th space and in static mode
Endow each point with power, here is the 7th space for you
And you can't control time, so don't bring it in here
Yes, very simple. How to measure, this is the dimension. Let us recall three Cartesian coordinates. But there is still a REFERENCE POINT with its own coordinates. And without it, you can't measure anything. But a point also has its own volume, otherwise you will never be able to build either a line or a plane.
There are many ways to measure space, and this is exactly what you can call multi-dimensionality.
We learned to understand four-dimensional space in chemistry classes at school. Around the nucleus is an electron in the form of a cloud, not a simple one. There is only one electron, and its probable location in space is similar to a cloud. And another thing: if you look at a running fan, you can only see 4-dimensional: the blades in the three-dimensional world are no longer visible.
ā – the point tends to the hole [relativ.Ā«-Ā»]
fromZero
opening the [“+”operator]
forming the route “x”
separating [the “/ ” operator]
the hole gets a point
the “x” axis of the trajectory of the point being guided by the hole descends to [zero]
the hole has drawn the axis, trajectory,and logical functions of the first pass, and will no longer play only by the old rules – it is armed with observable operations , such as [the ” * ” operator].
now let's analyze what operations are allowed in the subsequent inclusion of the collection of the set package:
0=[1]
|-1|+1=|2|
0=|2|,
|2|= |n-1| x |n+1|
1āæ=1 super step, congratulations to you!
ā ā 1=1skperkorn, but your root is also a multi-hole sieve
1Ā¹ā”ā1
ā ā – – – (the degree is identical to the root – the moment of a set package – the root coordinates without extracting an indefinite degree of an indefinite set of indefinite operations – the current state n)
now you won't be eradicated so easily-you accept your power sets as an equilibrium package , will you settle down?
the hole has already drawn the whole world for you after studying eradication
xā1ā”|š|
|x|ā”y
|y|ā”z
|z| ā”(|a||b||c| )d
1ā0
-1ā0
[2]ā0
1ā 0
0x
1ā±=
yes any operations analytics,
all this is scattered over the school course, remember to finish reading, less theories in your head, go through the basis and in the end you have 108 packages from the periodic table with 22 non-metals, 8 platinum groups around Osmium, and other equally fascinating cross-braid functions of magic numbers(chemical – hence extended to subsequent) numbers, braid transition functions, acyclic leading jumps in topological nodes of ternary, quaternary, matrix sieves, etc. Biomes based on higher equilibria of packages of multiple operations of logics of aspirations of a set of points in a sieve of holes involved the topology of cellular spaces, angles and cyclicity of crystal structures, stoichiometric coherences, biogeocenotic systems, geological hellish cyclic dives, petrobiochemical geoinfoschem engineering a person allows to oppose to himself as a kick mnogodyrki, religious systems of sects- abases derive derivatives by modifying their powers, linguistics covers up traces of early formation logics, standardization changes the register, metrology plays with numbers, the provisional government turns the hands of the clock, and other applied anthropogenic exploitation to the natural basis
nā0
nā0
nāæā»Ā¹
yes, you already understand, take the letter
|š |Twist the upper half to the left to expand the funnel, the bottom to the right to narrow the funnel, being a batch (30 billion cells you have with your own gene code) set-observer, assume a physical consequence, establishing that physics is a consequence of causes ŠŗŠ¾Š½ŠµŃ the end of the beginning, so [n+1] it is profitable to speculate with theories.
ā – the point tends to the hole [relativ.Ā«-Ā»]
from [Zero]
opening the [“+”operator]
forming the route “x”
separating [the “/ ” operator]
The hole got a point
from the beginning to the end of the axis,
the hole is forced to transmit observations to the point by all means available at this stage
arming it with observable operations, the [operator “*”] occurred.
now let's analyze what operations are allowed in the subsequent inclusion of the collection of the set package:
0=[1]
|-1|+1=|2|
0=|2|,
|2|= |n-1| x |n+1|
1āæ=1
āā1=1
1Ā¹ā”ā1
ā ā – – – (the degree is identical to the root – the moment of a set package – the root coordinates without extracting an indefinite degree of an indefinite set of indefinite operations – the current state n)
xā1ā”|š|
|x|ā”y
|y|ā”z
|z| ā”(|a||b||c| )d
1ā0
-1ā0
[2]ā0
1ā 0
0x
1ā±=
yes any operations analytics,
all this is scattered over the school course, remember to finish reading, less theories in your head, go through the basis and in the end you have 108 packages from the periodic table with 22 non-metals, 8 platinum groups around Osmium,
cross braid function for magic numbers(chemical – hence extended to subsequent) numbers, braid transition functions, acyclic leading jumps in topological nodes of ternary, quaternary, etc. Biomes based on higher operators of logics of aspirations of a set of points in a sieve of holes biogeocenosis, geology, tectonics,petrobiochemical schematics.
linguistics, and other applied negative voiced dilettantics
nā0
nā0
nāæā»Ā¹
yes, you already understand, take the letter
|š |Twist the upper half to the left to expand the funnel, the bottom to the right to narrow the funnel, being a batch (30bn cells you have with your own gene code) set-observer allow a physical consequence
To answer
And
Imagine a point or shape in 3-dimensional space and add another parameter, such as color. As a result, the point or firura will have 3 coordinate parameters and the fourth parameter is color. We can say that a colored three-dimensional shape is a 4-dimensional space.
Yes, it's very easy to imagine: just imagine that you can travel in time – and everyone knows a little how to do this when watching a movie and can rewind the movie back and forth, looking at individual frames.
This film is a four-dimensional space – anyone who watches movies in it travels (if he can imagine that a flat film is actually three-dimensional), but there are also 3D films.
Before we talk about a 4-dimensional space, we need to define its physical essence. Otherwise, we will calculate and model abstractions. What is impossible to imagine and define its essence most likely does not exist at all.
I can give you an example like this: our brain can only accept information in 3 dimensions, but imagine yourself as a person stuck on a plane-in 2D.
A ball passes through the plane – a 3D shape. For the little man in 2D, the ball will randomly change shape. As a consequence, we can assume that if we consider the 4th dimension as a space. The shape of figures that are in 4 dimensions at the same time, for us living in 3 dimensions, will randomly change shape, size, as part of them will fall into the 4th dimension.
We LIVE in a 4-dimensional space. Length, width, height, and time. When we see a balloon inflating, it is one of the “models” of our 4M space.)))
From the outside, it looks just like in the photo. Just need to understand/see that the cube faces are not truncated pyramids, but cubes š.
And the fourth dimension is easy to imagine, if you remember about time. Matter (length-width-height) varies with time, so time can be considered as a coordinate (duration). The Japanese, I think, grow stones in gardens for this purpose.
Another option is a microscope. At high magnification (shallow depth of field), you can see, for example, the cell membrane and various organelles, as a kind of slice. Everything that is out of focus will be something unclear, blurry (rather than physical or astral fields).
The three coordinates used to describe a point are just a model, in this case a mathematical one. Necessary and sufficient pier…
According to Savelyev, we have more than eighteen sensory organs. What are not coordinates (sensors) for “measuring” the world?
Theoretical physics is now talking about 12 dimensions in the framework of super string theory.
Four – ha, ha, ha… š¤
And you “calling yourself Albert shatrov” – Do not explain – ” LIKE A PHILISTINE!
——————————–
You can read the comment of an Expert Master who solved a similar problem in the 10th grade of school!
————————————————
WE will represent a 4-dimensional space as a 4-dimensional cube!
(yavol?) A 4-dimensional cube – let's imagine – as a scan of a 3-dimensional cube!
Direct DC current is applied from opposite diagonal points.
Each edge of the cube has a resistance of ONE ohm! Calculate the total resistance of a 4-dimensional cube!? Weak? That's just it!
And this is HIGH SCHOOL Physics! And The Master Is An Expert! In the 10th grade, I solved it! In 1971! (without AI backgrounds and calculators!)
Do you want to try it too?
PS: yes, I'm the same age as ROCK&ROLL!
I looked at the responses of users, many people consider time to be the 4th dimension. First, time is measured by changing moments (centuries, years, months, days, hours, minutes, seconds, etc.). They also refute themselves by comparing 2d creatures observing in time how a 3d sphere appears and disappears on their discworld in Time Karl! Well according to their reasoning 2d creatures live in 3d because they already have time! The essence of the question in my understanding 4 dimension of space? It's like 1 dimension is width, 2 dimension is length, 3 dimension is height, 4 dimension is xs(not time). Here ” xs ” interests us. Let's say in the space x, y, z, at each point, you can still measure, let's call it “xs”. Imagine a certain volume figure (sphere) filled to the brim with small balls of 100 pieces. To simplify, we will denote these small balls by absolute points. Which have a height, width, length, and xs. Now imagine you are observing all 100 points inwards at the same time. Try with this experience to fantasize abstractly, seeing 3d and inside.
My idea of the dimensionality of space? A point, like a physical body, has unlimited freedom of movement. Chaos is modeled by the Brownian motion of a point. Axis – the geometric location of points is restricted in its movement. The plane as a geometric place of straight lines is even more restricted in movement. The cube closes the space in itself, stopping movement. The space is divided into external and internal. Four-dimensionality is the movement of spaces. The internal space of the cube becomes external, and the external space becomes internal. The cube is turned inside out, and then returns to its original position. Movement-assimilation-dissimilation. Path outline – a cycle. But a cycle similar to a Mobius strip. That's about it.