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	<title>Comments on: Does Beauty Equal Truth in Physics and Math?</title>
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	<description>A Mathematician Writes About Philosophy, Science, Rationality, Ethics, Religion, Skepticism and the Search for Truth</description>
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		<title>By: socratus</title>
		<link>http://www.clockbackward.com/2009/03/11/does-beauty-equal-truth-in-physics-and-math/comment-page-1/#comment-7793</link>
		<dc:creator>socratus</dc:creator>
		<pubDate>Mon, 31 Jan 2011 14:40:12 +0000</pubDate>
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		<description>Physics: By Beauty it is beautiful.
#
After reading book ‘Albert Einstein’ by Leopold Infeld.
========.
Page 4.
‘ Many believe that relative theory tells us that ours
 is a kind of Alice-in-Wonderland universe; . . . .‘
‘ How, then, did the prejudice about the mysterious relative 
Alice-in-Wonderland universe arise?’
#
I will try to give my brief remark about this situation.
 1.
In the 19th century  aether /ether  was the term used to
describe a medium for the propagation of quantum of light 
(electromagnetic waves ). 
This aether had strange chracteristic.
On one hand it must be very thin, because the planets
 move through it without resistence.
On the other hand  it must be very hard, because quantum
 of light is a transverse wave. And a transverse wave can
 move only in a hard space. It was created many theories
to explain this paradox but without success.     
2.
In 1887 the Michelson-Morley experiment 
showed that the speed of quantum of light is constant in all 
directions regardless of the motion of the source.
This experiment was interpreted as ’ether doesn’t exist’.
3.
In 1905, Albert Einstein resolved this paradox by revising the
 Galilean model of space and time to account for the constancy
 of the speed of light. Einstein formulated his ideas in his
 special theory of relativity, which advanced humankind&#039;s
 understanding of space and time.
     4.
In 1908  Herman Minkowski explained Einstein’s
 idea  using time as forth dimension and said:
 ‘ Henceforth, space by itself, and time by itself, 
are doomed to fade away into mere shadows,
 and only a kind of union of the two will preserve 
an independent reality.’
=======================.
#
So, ‘ How, then, did the prejudice about the mysterious
 relative Alice-in-Wonderland universe arise?’
My opinion.
On the page 5 Infeld  wrote:
‘ Science is a rational structure; the greatest pleasure 
in studying is that of understanding. Without it 
knowledge means little.’

Very well. But if the ‘ Science is a rational structure’
 then where is the Minkowski (-4D ) in nature, where
 is the  ‘only a kind of union of the two’ ? 
Nobody knows where it is. 
So, what is about a rational structure? 
So, what is about a real structure, real nature? 
I don’t mean to criticize.
I only cannot understand why the trick of changing 
concept of ether on the concept of space-time was passed
 without doubt, with glory and proud. 
=====.
P.S.
Maybe the reason of (-4D) long live is it 
mathematical beauty ? 
Page 45.
‘Minkowski mathematical genius put Einstein’s ideas
 into a new geometrical form that fully revealed their 
beauty and simplicity.’

But is it correct to say, that these two parameters real enough
 to explain and understand the real nature?
About 2500 years ago, according to Plato,  Socrates said:
‘ I do not go so far as to insist upon the precise details; 
only upon the fact that it is by Beauty that beautiful 
things are beautiful.’   

This is exactly that physicists are doing. 
And as a result, going in such beautiful mathematical
 way we have many  paradoxes in physics.

Without the precise physical details, like: volume (V ), 
temperature (T )  and density ( P) the Minkowski 
beautiful and simple (-4D)  is a pure mathematical game,
 it is an abstraction.
============================..
#
Book ‘Albert Einstein’ by Leopold Infeld.
Page 4.
And out of this fantastic, relative world that Einstein
 created there suddenly appeared the atomic bomb.
Page 36.
Its title is ‘Does the Inertia of a Body Depend on Its Energy?’
This short paper states: the use of atomic energy is,
in principle, possible. Forty years later, the work
 of many scientists showed that the use of atomic
 energy is practicable as was demonstrated  . . . . .
. . .  in the New Mexican desert and the devastation
 at Hiroshima.
=============.
So, on the one hand SRT is true theory.
But on the other hand its basis ( -4D) is abstract.
To tell half of truth is worse than pure lie.    
When in SRT practical truth mixed with an abstract meaning
 of (-4D) our logical thought sink as an ‘ unsinkable Titanic’.
SRT, as a good mirror, shows us the real ugly understanding
 the concept that we call ‘ Scientific Knowledge’. 
But . . .but . . .
‘ One thing I have learned in a long life:
that all our science, measured against reality, is primitive
and childlike - and yet it is the most precious thing we have.’
    / Einstein /
=============.</description>
		<content:encoded><![CDATA[<p>Physics: By Beauty it is beautiful.<br />
#<br />
After reading book ‘Albert Einstein’ by Leopold Infeld.<br />
========.<br />
Page 4.<br />
‘ Many believe that relative theory tells us that ours<br />
 is a kind of Alice-in-Wonderland universe; . . . .‘<br />
‘ How, then, did the prejudice about the mysterious relative<br />
Alice-in-Wonderland universe arise?’<br />
#<br />
I will try to give my brief remark about this situation.<br />
 1.<br />
In the 19th century  aether /ether  was the term used to<br />
describe a medium for the propagation of quantum of light<br />
(electromagnetic waves ).<br />
This aether had strange chracteristic.<br />
On one hand it must be very thin, because the planets<br />
 move through it without resistence.<br />
On the other hand  it must be very hard, because quantum<br />
 of light is a transverse wave. And a transverse wave can<br />
 move only in a hard space. It was created many theories<br />
to explain this paradox but without success.<br />
2.<br />
In 1887 the Michelson-Morley experiment<br />
showed that the speed of quantum of light is constant in all<br />
directions regardless of the motion of the source.<br />
This experiment was interpreted as ’ether doesn’t exist’.<br />
3.<br />
In 1905, Albert Einstein resolved this paradox by revising the<br />
 Galilean model of space and time to account for the constancy<br />
 of the speed of light. Einstein formulated his ideas in his<br />
 special theory of relativity, which advanced humankind&#8217;s<br />
 understanding of space and time.<br />
     4.<br />
In 1908  Herman Minkowski explained Einstein’s<br />
 idea  using time as forth dimension and said:<br />
 ‘ Henceforth, space by itself, and time by itself,<br />
are doomed to fade away into mere shadows,<br />
 and only a kind of union of the two will preserve<br />
an independent reality.’<br />
=======================.<br />
#<br />
So, ‘ How, then, did the prejudice about the mysterious<br />
 relative Alice-in-Wonderland universe arise?’<br />
My opinion.<br />
On the page 5 Infeld  wrote:<br />
‘ Science is a rational structure; the greatest pleasure<br />
in studying is that of understanding. Without it<br />
knowledge means little.’</p>
<p>Very well. But if the ‘ Science is a rational structure’<br />
 then where is the Minkowski (-4D ) in nature, where<br />
 is the  ‘only a kind of union of the two’ ?<br />
Nobody knows where it is.<br />
So, what is about a rational structure?<br />
So, what is about a real structure, real nature?<br />
I don’t mean to criticize.<br />
I only cannot understand why the trick of changing<br />
concept of ether on the concept of space-time was passed<br />
 without doubt, with glory and proud.<br />
=====.<br />
P.S.<br />
Maybe the reason of (-4D) long live is it<br />
mathematical beauty ?<br />
Page 45.<br />
‘Minkowski mathematical genius put Einstein’s ideas<br />
 into a new geometrical form that fully revealed their<br />
beauty and simplicity.’</p>
<p>But is it correct to say, that these two parameters real enough<br />
 to explain and understand the real nature?<br />
About 2500 years ago, according to Plato,  Socrates said:<br />
‘ I do not go so far as to insist upon the precise details;<br />
only upon the fact that it is by Beauty that beautiful<br />
things are beautiful.’   </p>
<p>This is exactly that physicists are doing.<br />
And as a result, going in such beautiful mathematical<br />
 way we have many  paradoxes in physics.</p>
<p>Without the precise physical details, like: volume (V ),<br />
temperature (T )  and density ( P) the Minkowski<br />
beautiful and simple (-4D)  is a pure mathematical game,<br />
 it is an abstraction.<br />
============================..<br />
#<br />
Book ‘Albert Einstein’ by Leopold Infeld.<br />
Page 4.<br />
And out of this fantastic, relative world that Einstein<br />
 created there suddenly appeared the atomic bomb.<br />
Page 36.<br />
Its title is ‘Does the Inertia of a Body Depend on Its Energy?’<br />
This short paper states: the use of atomic energy is,<br />
in principle, possible. Forty years later, the work<br />
 of many scientists showed that the use of atomic<br />
 energy is practicable as was demonstrated  . . . . .<br />
. . .  in the New Mexican desert and the devastation<br />
 at Hiroshima.<br />
=============.<br />
So, on the one hand SRT is true theory.<br />
But on the other hand its basis ( -4D) is abstract.<br />
To tell half of truth is worse than pure lie.<br />
When in SRT practical truth mixed with an abstract meaning<br />
 of (-4D) our logical thought sink as an ‘ unsinkable Titanic’.<br />
SRT, as a good mirror, shows us the real ugly understanding<br />
 the concept that we call ‘ Scientific Knowledge’.<br />
But . . .but . . .<br />
‘ One thing I have learned in a long life:<br />
that all our science, measured against reality, is primitive<br />
and childlike &#8211; and yet it is the most precious thing we have.’<br />
    / Einstein /<br />
=============.</p>
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	<item>
		<title>By: clockbackward</title>
		<link>http://www.clockbackward.com/2009/03/11/does-beauty-equal-truth-in-physics-and-math/comment-page-1/#comment-1712</link>
		<dc:creator>clockbackward</dc:creator>
		<pubDate>Sun, 27 Dec 2009 04:09:33 +0000</pubDate>
		<guid isPermaLink="false">http://clockbackward.wordpress.com/?p=242#comment-1712</guid>
		<description>Don&#039;t forget this (quite important) reason as well:

When what we originally see as multiple phenomena are discovered to be emanations of the same thing, the resulting equations tend to become more aesthetically pleasing.

I would also add that psychologically, it may be easier for us to discover &quot;simple&quot; , &quot;pleasing&quot; explanations because our minds are more suited for searching for those solutions.

I wish that I could comment about why the universe has symmetries. They do seem fundamental to its nature, but without knowing more about the formation of the universe and the reason for its laws and constants being what they are, that question may remain inaccessible.</description>
		<content:encoded><![CDATA[<p>Don&#8217;t forget this (quite important) reason as well:</p>
<p>When what we originally see as multiple phenomena are discovered to be emanations of the same thing, the resulting equations tend to become more aesthetically pleasing.</p>
<p>I would also add that psychologically, it may be easier for us to discover &#8220;simple&#8221; , &#8220;pleasing&#8221; explanations because our minds are more suited for searching for those solutions.</p>
<p>I wish that I could comment about why the universe has symmetries. They do seem fundamental to its nature, but without knowing more about the formation of the universe and the reason for its laws and constants being what they are, that question may remain inaccessible.</p>
]]></content:encoded>
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	<item>
		<title>By: Julia</title>
		<link>http://www.clockbackward.com/2009/03/11/does-beauty-equal-truth-in-physics-and-math/comment-page-1/#comment-1710</link>
		<dc:creator>Julia</dc:creator>
		<pubDate>Sun, 27 Dec 2009 03:28:58 +0000</pubDate>
		<guid isPermaLink="false">http://clockbackward.wordpress.com/?p=242#comment-1710</guid>
		<description>Hmm -- ok, so it seems like all of the reasons why beauty=truth are either mundane (e.g., the equations only look beautiful because we write them that way) or they&#039;re a consequence of statistical laws.

The one exception is your description of how symmetry in the universe leads to simple and symmetrical (hence beautiful) equations. That seems well worth delving into further -- why are there all these symmetries inherent in the universe?  Should we be surprised by that?</description>
		<content:encoded><![CDATA[<p>Hmm &#8212; ok, so it seems like all of the reasons why beauty=truth are either mundane (e.g., the equations only look beautiful because we write them that way) or they&#8217;re a consequence of statistical laws.</p>
<p>The one exception is your description of how symmetry in the universe leads to simple and symmetrical (hence beautiful) equations. That seems well worth delving into further &#8212; why are there all these symmetries inherent in the universe?  Should we be surprised by that?</p>
]]></content:encoded>
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		<title>By: quba</title>
		<link>http://www.clockbackward.com/2009/03/11/does-beauty-equal-truth-in-physics-and-math/comment-page-1/#comment-34</link>
		<dc:creator>quba</dc:creator>
		<pubDate>Mon, 01 Jun 2009 12:43:01 +0000</pubDate>
		<guid isPermaLink="false">http://clockbackward.wordpress.com/?p=242#comment-34</guid>
		<description>Hi,

We have just added your latest post &quot;Does Beauty Equal Truth in Physics and Math?&quot; to our &lt;a href=&quot;http://www.scienz.info&quot; rel=&quot;nofollow&quot;&gt; Directory of 

Science &lt;/a&gt; . You can check the inclusion of the post  &lt;a href=&quot;http://www.scienz.info/story.php?title=does-beauty-equal-truth-in-physics-and-math-1&quot; rel=&quot;nofollow&quot;&gt; here &lt;/a&gt; . We are delighted to invite you to 

submit all your future posts to the &lt;a href=&quot;http://www.scienz.info&quot; rel=&quot;nofollow&quot;&gt;directory&lt;/a&gt; and get a huge base of visitors to 

your website.


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Scienz.info Team

http://www.scienz.info</description>
		<content:encoded><![CDATA[<p>Hi,</p>
<p>We have just added your latest post &#8220;Does Beauty Equal Truth in Physics and Math?&#8221; to our <a href="http://www.scienz.info" rel="nofollow" onclick="pageTracker._trackPageview('/outgoing/www.scienz.info?referer=');"> Directory of </p>
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		<title>By: clockbackward</title>
		<link>http://www.clockbackward.com/2009/03/11/does-beauty-equal-truth-in-physics-and-math/comment-page-1/#comment-23</link>
		<dc:creator>clockbackward</dc:creator>
		<pubDate>Tue, 12 May 2009 14:35:56 +0000</pubDate>
		<guid isPermaLink="false">http://clockbackward.wordpress.com/?p=242#comment-23</guid>
		<description>You don’t need to be a theist or Platonist to find art beautiful, or music beautiful, or sunsets beautiful, or people beautiful, so why should you need to be one to find mathematics beautiful? As Merriam-Webster’s Dictionary defines it, beauty is “the quality or aggregate of qualities in a person or thing that gives pleasure to the senses or pleasurably exalts the mind or spirit.” As many mathematicians and physicists will confirm, equations have the potential to “pleasurably exalt the mind”. It is an empirical fact that some equations in mathematics and physics are considered beautiful by many practitioners. This article attempts to address the question of whether equations that humans consider to be beautiful are in fact more likely to be ‘true’.</description>
		<content:encoded><![CDATA[<p>You don’t need to be a theist or Platonist to find art beautiful, or music beautiful, or sunsets beautiful, or people beautiful, so why should you need to be one to find mathematics beautiful? As Merriam-Webster’s Dictionary defines it, beauty is “the quality or aggregate of qualities in a person or thing that gives pleasure to the senses or pleasurably exalts the mind or spirit.” As many mathematicians and physicists will confirm, equations have the potential to “pleasurably exalt the mind”. It is an empirical fact that some equations in mathematics and physics are considered beautiful by many practitioners. This article attempts to address the question of whether equations that humans consider to be beautiful are in fact more likely to be ‘true’.</p>
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