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Posts from Academy of Sciences of Heroesland Auto-translated

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In reply to Vayshan
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#198
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Vayshan
In theory, there cannot be any hypotheses that contradict the theory itself, which provides a clear answer to the movement of objects at the speed of light. "In Einstein's theory, no information can travel faster than the speed of light in a vacuum." - Wikipedia, many consider it not a very authoritative source, but this point of view coincides with the generally accepted one; perhaps you could provide a link to a more authoritative source?
This is not entirely correct. The fundamental principle is the relativity of time. The fact that we get a negative number under the root at speeds greater than the speed of light does not mean anything yet. Remember the imaginary exponent: it can always be expressed through a combination of sines and cosines – real numbers. And also: I specifically emphasized the word "general." Lorentz transformations and all these roots are fundamental to the special theory of relativity, but the general theory speaks of the curvature of space under the influence of gravity; here, you can come up with and imagine many new things. By the way, in the same Wikipedia, there is something about this, although it is not the best source.
 

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#199
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Remember the imaginary exponential: it can always be expressed through a combination of sines and cosines – which are real numbers.
I didn't quite understand what you were talking about. Sometimes, to simplify intermediate calculations, you can assume a physical quantity is complex and, after performing the necessary transformations, confidently switch to real numbers, realizing that the imaginary part itself doesn't carry any physical meaning. But how do you get a real number from an imaginary number?
O God of Earth and Altar,
Bow down and hear our cry,
Our earthly rulers falter,
Our people drift and die,
The walls of gold entomb us,
The swords of scorn divide,
Take not thy thunder from us,
Take away our pride.


G.K. Chesterton: English Hymnal
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#200
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I might have exaggerated a bit; there, the sine is also multiplied by i... Although it's still a combination :) But the fact that you can obtain perfectly real values for analysis by taking the real and imaginary parts of a complex number is a fact. Complex numbers do exist in one form or another, but they are simply difficult to imagine or measure. But the same is true for irrational numbers, and yet no one is afraid of the presence of a root or an exponent in equations.
 

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#201
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At school, they told me that complex numbers are essential in astronautics.

Когда я умер, небыло никого, кто бы это опроверг
клан "Vampires"
P.S. ...но против креста Я не пойду никогда...
In reply to Elcidere
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#202
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Elcidere
In school, they told me that complex numbers are essential in astronautics :)
They are also essential in electrical engineering.
Армия баранов под предводительством льва сильнее армии львов под предводительством барана.

God save us everyone
Will we burn inside the fires of a thousand suns...
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#203
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The electrical engineering professor was almost afraid to look at us, lest he scare us, let alone overload our already overwhelmed minds with useless information.

Когда я умер, небыло никого, кто бы это опроверг
клан "Vampires"
P.S. ...но против креста Я не пойду никогда...
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#204
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Elcidere
The electrical engineering professor was afraid to look at us too often, lest he scare us, let alone overload our already overloaded brains with useless information.
Useless information? Complex numbers greatly simplify the calculation of electronic circuits! That's great!
 

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#205
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Well, it doesn't matter to us, the road construction engineers:D

Когда я умер, небыло никого, кто бы это опроверг
клан "Vampires"
P.S. ...но против креста Я не пойду никогда...
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#206
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(by the way, what's wrong with the idea that the bomb doesn't ignite the sun, but simply serves as a detonator?)
It's easier to call the sun's director on the phone and tell him to have the gnomes in the solar boiler room add more coal.

In theory, there can be no hypotheses that contradict the theory itself, which has a clear answer to the movement of objects at the speed of light. "In Einstein's theory, no information can propagate faster than the speed of light in a vacuum." - Wikipedia, many consider it not a very authoritative source, but this point of view coincides with the generally accepted one; perhaps you can provide a link to a more authoritative source?
What does it matter who has a more authoritative source? If Einstein said, "it's like this, and it can't be any other way," should we simply accept his words as an axiom? Science is constantly evolving, and so are our views. Now, for example, many scientific theories about faster-than-light speed have been developed, which old man Einstein didn't even know about.
The most obvious example is a wormhole, plus it's interesting if its exits move relative to each other. There are also theories similar to a warp bubble around an object, relative to which time and space are distorted, but all of them, like the wormhole, come down to creating a space with negative energy density, the so-called "exotic matter." In fact, an example of such exotic matter has been found: the Casimir vacuum - an ideal vacuum in which a pair of virtual particles (e.g., a proton and an antiproton) is formed every moment and instantly annihilated, i.e., (+1) + (-1) = 0. This is absolute zero. As far as I know, successful experiments have been carried out on very small scales to create such an environment.
The topic is undoubtedly very interesting. Those who are interested can learn about modern theories.
Well, this is not relevant to us, road engineers.
We have some kind of strange terminology with a dubious calculation of the truss at the end :smile04:
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#207
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It would be easier to call the director of the sun and ask him to have the gnomes in the solar furnace add more coal.
I've heard of solar elves, but never of solar gnomes.

Be strong. Believe
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#208
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I've heard of sun elves, but never of sun gnomes.
You didn't pay enough attention in your 9th-grade physics class.
In reply to WhiteLizard
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#209
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WhiteLizard

We have some kind of weird, offbeat term paper with a completely random calculation of the truss at the end :smile04:
Actually, road engineers have quite complex calculations for DO. It's largely based on the theory of elasticity and involves so many assumptions that they have to rely on nomograms and tables! ;) You know that!
Frames, beams, arches, trusses - it's all nonsense!

Когда я умер, небыло никого, кто бы это опроверг
клан "Vampires"
P.S. ...но против креста Я не пойду никогда...
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#210
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Arches aren't useless! :(

Be strong. Believe
In reply to WhiteLizard
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#211
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WhiteLizard
It's easier to call the director of the sun and tell him to have the gnomes in the solar boiler room add more coal.

Perhaps they didn't know the phone number and decided to add something more effective than coal themselves. In general, read one of my previous posts about assumptions in science fiction films.
WhiteLizard
But what does it matter who has the more authoritative source? If Einstein said, "It's like this, and it can't be any other way," should we simply take his words as an axiom?
However, modern science adheres to his old theory, doesn't it? And he didn't just "say" it; he scientifically substantiated his theory.
WhiteLizard

Science is constantly evolving, and so are our views. Now, for example, many scientific theories about faster-than-light speed have been developed, which the old Einstein didn't even know about.
The most obvious example is the wormhole, plus it's interesting if its exits move relative to each other. There are also theories similar to the warp bubble around an object, relative to which time and space are distorted, but all of them, like the wormhole, boil down to creating a space with negative energy density, the so-called "exotic matter." In fact, an example of such exotic matter has been found: the Casimir vacuum - an ideal vacuum in which a pair of virtual particles (e.g., a proton and an antiproton) is formed every moment and instantly annihilated, i.e., (+1) + (-1) = 0. This is absolute zero. As far as I know, successful experiments have been carried out on very small scales to create such an environment.
The subject is undoubtedly very interesting. Those who are interested can learn about modern theories.
Well, I can also come up with some hypothesis, say, about Big Flying Non-Material Pink Elephants, and try to prove that they don't exist. And by the way, one should distinguish between the concept of "Theory," which is scientifically substantiated, and the concept of "Hypothesis," which is nothing more than an assumption. All these hypotheses about faster-than-light speeds and wormholes fall into the latter category. In science, there would be an incredible uproar if someone could substantiate these hypotheses and refute the theory of relativity. And in all these hypotheses, non-material "virtual" objects appear that do not have any energy or rest mass, and the topic of our dispute, I remind you, is "science fiction," and in it, faster-than-light movement of an entire spaceship with a crew often occurs, which, to put it mildly, does not resemble a photon in its properties. That is, they are showing nonsense! But without this assumption, an entire layer of science fiction about the exploration of outer space would have to be discarded.
Армия баранов под предводительством льва сильнее армии львов под предводительством барана.

God save us everyone
Will we burn inside the fires of a thousand suns...