Total Posts:6|Showing Posts:1-6 Posts: 102 Add as FriendChallenge to a DebateSend a Message 2/14/2013 2:19:59 AMPosted: 7 years agoEuler's Equation and the Reality of Nature.=.Mr. Dexter Sinister wrote:" I understand Euler's Identity,and I know what it means, and I know how to prove it,there's nothing particularly mystical about it,it just demonstrates that exponential, trigonometric,and complex functions are related.Given what we know of mathematics it shouldn't surpriseanyone that its various bits are connected.It would be much more surprising if they weren't, that wouldalmost certainly mean something was badly wrong somewhere."Mr. Gary wrote:Mathematics is NOT science.Science is knowledge of the REAL world.Mathematics is an invention of the mind.Many aspects of mathematics have found applicationin the real world, but there is no guarantee.Any correlation must meet the ultimate test:does it explain something about the real world?As an electrical engineer I used the generalizedEuler's equation all the time in circuit analysis:exp(j*theta) = cos(theta) + j*sin(theta).So it works at that particular level in electricity.Does it work at other levels, too?Logic cannot prove it.It must be determined by experiment, not by philosophizing.====..Thinking about theirs posts I wrote brief article:Euler's Equation and Reality.=.a)Euler's Equation as a mathematical reality.Euler's identity is "the gold standard for mathematical beauty'.Euler's identity is "the most famous formula in all mathematics"." . . . this equation is the mathematical analogue of Leonardoda Vinci"s Mona Lisa painting or Michelangelo"s statue of David""It is God"s equation.", " It is a mathematical icon.". . . . etc.b)Euler's Equation as a physical reality."it is absolutely paradoxical; we cannot understand it,and we don't know what it means, . . . . ."" Euler's Equation reaches down into the very depths of existence"" Is Euler's Equation about fundamental matters?""It would be nice to understand Euler's Identity as a physical processusing physics."" Is it possible to unite Euler's Identity with physics, quantum physics ?"==.My aim is to understand the reality of nature.Can Euler's equation explain me something about reality?To give the answer to this question I need to bindEuler's equation with an object - particle.Can it be math- point or string- particle or triangle-particle?No, Euler's formula has quantity (pi) which says me thatthe particle must be only a circle .Now I want to understand the behavior of circle - particle andtherefore I need to use spatial relativity and quantum theories.These two theories say me that the reason of circle " particle"smovement is its own inner impulse (h) or (h*=h/2pi).a)Using its own inner impulse (h) circle - particle moves( as a wheel) in a straight line with constant speed c = 1.We call such particle - "photon".From Earth " gravity point of view this speed is maximally.From Vacuum point of view this speed is minimally.In this movement quantum of light behave as a corpuscular (no charge).b)Using its own inner impulse / intrinsic angular momentum( h* = h / 2pi ) circle - particle rotates around its axis.In such movement particle has charge, produce electric waves( waves property of particle) and its speed ( frequency) is : c>1.We call such particle - " electron" and its energy is: E=h*f.In this way I (as a peasant ) can understand the reality of nature.==.I reread my post.My God, that is a na"ve peasant's explanation.It is absolutely not scientific, not professor's explanation.Would a learned man adopt such simple and naive explanation?Hmm, . . . problem.In any way, even Mr. Dexter Sinister and Mr. Garywouldn't agree with me, I want to say them' Thank you for emails and cooperation"=.Best wishes.Israel Sadovnik Socratus.=.P.S.' They would play a greater and greater role in mathematics "and then, with the advent of quantum mechanics in the twentiethcentury, in physics and engineering and any field that deals withcyclical phenomena such as waves that can be represented bycomplex numbers. For a complex number allows you to representtwo processes such as phase and wavelenght simultaneously "and a complex exponential allows you to map a straight lineonto a circle in a complex plane.'/ Book: The great equations. Chapter four.The gold standard for mathematical beauty.Euler"s equation. Page 104. /#Euler's e-iPi+1=0 is an amazing equation, not in-and-of itself,but because it sharply points to our utter ignorance of thesimplest mathematical and scientific fundamentals.The equation means that in flat Euclidean space, e and Pi happento have their particular values to satisfy any equation that relatestheir mathematical constructs. In curved space, e and Pi vary./ Rasulkhozha S. Sharafiddinov . /==============="The secret of God and Existence is hidden in the ' Theory of Vacuum and Light Quanta' . Posts: 3,730 Add as FriendChallenge to a DebateSend a Message 2/14/2013 6:33:44 AMPosted: 7 years agoAt 2/14/2013 2:19:59 AM, socratus wrote:Euler's Equation and the Reality of Nature.=.Mr. Dexter Sinister wrote:" I understand Euler's Identity,and I know what it means, and I know how to prove it,there's nothing particularly mystical about it,it just demonstrates that exponential, trigonometric,and complex functions are related.Given what we know of mathematics it shouldn't surpriseanyone that its various bits are connected.It would be much more surprising if they weren't, that wouldalmost certainly mean something was badly wrong somewhere."Mr. Gary wrote:Mathematics is NOT science.Science is knowledge of the REAL world.Mathematics is an invention of the mind.Many aspects of mathematics have found applicationin the real world, but there is no guarantee.Any correlation must meet the ultimate test:does it explain something about the real world?As an electrical engineer I used the generalizedEuler's equation all the time in circuit analysis:exp(j*theta) = cos(theta) + j*sin(theta).So it works at that particular level in electricity.Does it work at other levels, too?Logic cannot prove it.It must be determined by experiment, not by philosophizing.====..Thinking about theirs posts I wrote brief article:Euler's Equation and Reality.=.a)Euler's Equation as a mathematical reality.Euler's identity is "the gold standard for mathematical beauty'.Euler's identity is "the most famous formula in all mathematics"." . . . this equation is the mathematical analogue of Leonardoda Vinci"s Mona Lisa painting or Michelangelo"s statue of David""It is God"s equation.", " It is a mathematical icon.". . . . etc.b)Euler's Equation as a physical reality."it is absolutely paradoxical; we cannot understand it,and we don't know what it means, . . . . ."" Euler's Equation reaches down into the very depths of existence"" Is Euler's Equation about fundamental matters?""It would be nice to understand Euler's Identity as a physical processusing physics."" Is it possible to unite Euler's Identity with physics, quantum physics ?"==.My aim is to understand the reality of nature.Can Euler's equation explain me something about reality?To give the answer to this question I need to bindEuler's equation with an object - particle.Can it be math- point or string- particle or triangle-particle?No, Euler's formula has quantity (pi) which says me thatthe particle must be only a circle .Now I want to understand the behavior of circle - particle andtherefore I need to use spatial relativity and quantum theories.These two theories say me that the reason of circle " particle"smovement is its own inner impulse (h) or (h*=h/2pi).a)Using its own inner impulse (h) circle - particle moves( as a wheel) in a straight line with constant speed c = 1.We call such particle - "photon".From Earth " gravity point of view this speed is maximally.From Vacuum point of view this speed is minimally.In this movement quantum of light behave as a corpuscular (no charge).b)Using its own inner impulse / intrinsic angular momentum( h* = h / 2pi ) circle - particle rotates around its axis.In such movement particle has charge, produce electric waves( waves property of particle) and its speed ( frequency) is : c>1.We call such particle - " electron" and its energy is: E=h*f.In this way I (as a peasant ) can understand the reality of nature.==.I reread my post.My God, that is a na"ve peasant's explanation.It is absolutely not scientific, not professor's explanation.Would a learned man adopt such simple and naive explanation?Hmm, . . . problem.In any way, even Mr. Dexter Sinister and Mr. Garywouldn't agree with me, I want to say them' Thank you for emails and cooperation"=.Best wishes.Israel Sadovnik Socratus.=.P.S.' They would play a greater and greater role in mathematics "and then, with the advent of quantum mechanics in the twentiethcentury, in physics and engineering and any field that deals withcyclical phenomena such as waves that can be represented bycomplex numbers. For a complex number allows you to representtwo processes such as phase and wavelenght simultaneously "and a complex exponential allows you to map a straight lineonto a circle in a complex plane.'/ Book: The great equations. Chapter four.The gold standard for mathematical beauty.Euler"s equation. Page 104. /#Euler's e-iPi+1=0 is an amazing equation, not in-and-of itself,but because it sharply points to our utter ignorance of thesimplest mathematical and scientific fundamentals.The equation means that in flat Euclidean space, e and Pi happento have their particular values to satisfy any equation that relatestheir mathematical constructs. In curved space, e and Pi vary./ Rasulkhozha S. Sharafiddinov . /==============="Euler's equation isn't about the "reality of nature", it's about the relationship between a complex exponential function and the trigonometric function, it tells us something important about mathematics, not nature.It is one of the commonest of mistakes to consider that the limit of our power of perception is also the limit of all there is to perceive." " C. W. Leadbeater Posts: 102 Add as FriendChallenge to a DebateSend a Message 3/5/2013 2:35:55 PMPosted: 7 years agoEuler's Equation CrackpotteryFeb 18 2013 Published by MarkCC under Bad Math, Bad PhysicsOne of my twitter followers sent me an interesting piece of crackpottery. I debated whether to do anything with it. The thing about crackpottery is that it really needs to have some content. Total incoherence isn't amusing. This bit is, frankly, right on the line.==.Euler's Equation and the Reality of Nature.a) Euler's Equation as a mathematical reality.Euler's identity is "the gold standard for mathematical beauty'.Euler's identity is "the most famous formula in all mathematics"." . . . this equation is the mathematical analogue of Leonardoda Vinci"s Mona Lisa painting or Michelangelo"s statue of David""It is God"s equation", "our jewel ", " It is a mathematical icon".. . . . etc.b) Euler's Equation as a physical reality."it is absolutely paradoxical; we cannot understand it,and we don't know what it means, . . . . ."" Euler's Equation reaches down into the very depths of existence"" Is Euler's Equation about fundamental matters?""It would be nice to understand Euler's Identity as a physical processusing physics."" Is it possible to unite Euler's Identity with physics, quantum physics ?"My aim is to understand the reality of nature.Can Euler's equation explain me something about reality?To give the answer to this. question I need to bind Euler's equationwith an object " particle. Can it be math- point or string- particleor triangle-particle? No, Euler's formula has quantity (pi) whichsays me that the particle must be only a circle .Now I want to understand the behavior of circle - particle andtherefore I need to use spatial relativity and quantum theories.These two theories say me that the reason of circle " particle"smovement is its own inner impulse (h) or (h*=h/2pi).a) Using its own inner impulse (h) circle - particle moves( as a wheel) in a straight line with constant speed c = 1.We call such particle - "photon".From Earth " gravity point of view this speed is maximally. From Vacuum point of view this speed is minimally.In this movement quantum of light behave as a corpuscular (no charge).b) Using its own inner impulse / intrinsic angular momentum( h* = h / 2pi ) circle - particle rotates around its axis.In such movement particle has charge, produce electric waves( waves property of particle) and its speed ( frequency) is : c.1. We call such particle - " electron" and its energy is: E=h*f.In this way I can understand the reality of nature.==.Best wishes.Israel Sadovnik Socratus.==.Euler's equation says that . It's an amazingly profound equation.The way that it draws together fundamental concepts is beautifuland surprising.But it's not nearly as mysterious as our loonie-toon makes it out to be.The natural logarithm-base is deeply embedded in the structure ofnumbers, and we've known that, and we've known how it worksfor a long time.What Euler did was show the relationship between e and thefundamental rotation group of the complex numbers.There are a couple of ways of restating the definition of thatmake the meaning of that relationship clearer.For example:That's an alternative definition of what e is. If we use that, and weplug into it, we get:If you work out that limit, it's -1. Also, if you take values of N,and plot , , , and , ... on the complex plane, as N gets larger,the resulting curve gets closer and closer to a semicircle.An equivalent way of seeing it is that exponents of are rotationsin the complex number plane. The reason that is because if you takethe complex number (1 + 0i), and rotate it by radians, you get -1: .That's what Euler's equation means.It's amazing and beautiful, but it's not all that difficult to understand.It's not mysterious in the sense that our crackpot friend thinks it is.But what really sets me off is the idea that it must have somemeaning in physics. That's silly.It doesn't matter what the physical laws of the universe are:the values of and e will not change.It's like trying to say that there must be something special aboutour universe that makes 1 + 1 = 2 - or, conversely, that the fact that1+1=2 means something special about the universe we live in. These things are facts of numbers, which are independentof physical reality. Create a universe with different values for allof the fundamental constants - e and π will be exactly the same.Create a universe with less matter - e and π will still be the same.Create a universe with no matter, a universe with different kindsof matter, a universe with 300 forces instead of the four thatwe see - and e and π won't change.What things like e and π, and their relationship via Euler's equationtell us is that there's a fundamental relationship between numbersand shapes on a two-dimensional plane which does not and cannotreally exist in the world we live in.Beyond that, what he's saying is utter rubbish.For example:These two theories say me that the reason of circle " particle"smovement is its own inner impulse (h) or (h*=h/2pi).Using its own inner impulse (h) circle - particle moves ( as a wheel)in a straight line with constant speed c = 1.We call such particle - "photon".From Earth " gravity point of view this speed is maximally.From Vacuum point of view this speed is minimally.In this movement quantum of light behave as a corpuscular (no charge).This is utterly meaningless.It's a jumble of words that pretends to be meaningful and mathematical,when in fact it's just a string of syllables strung together nonsensical ways.There's a lot that we know about how photons behave.There's also a lot that we don't know about photons.This word salad tells us exactly nothing about photons.In the classic phrase, it's not even wrong: what it says doesn't haveenough meaning to be wrong. What is the "inner impulse"of a photon according to this crackpot?We can't know: the term isn't defined.We are pretty certain that a photon is not a wheel rolling along.Is that what the crank is saying? We can't be sure.And that's the problem with this kind of crankery.As I always say: the very worst math is no math.This is a perfect example.He starts with a beautiful mathematical fact.He uses it to jump to a completely non-mathematical conclusion.But he writes a couple of mathematical symbols,to pretend that he's using math.http://scientopia.org...==.The secret of God and Existence is hidden in the ' Theory of Vacuum and Light Quanta' . Posts: 102 Add as FriendChallenge to a DebateSend a Message 3/7/2013 1:05:29 AMPosted: 7 years agoDear MarkCC.Thank you for paying attention on my crackpottery article.I like your comment.Very like.==.You say:Create a universe with no matter, a universe with different kindsof matter, a universe with 300 forces instead of the four thatwe see - and e and π won't change.=..Now Euler"s equation plays a role in quantum theory.In quantum theory there isn"t constant firm quant particle.The Pi says that a point-particle or string-particle cannot bea quant particle. The Pi says that that quant particlecan be a circle and it cannot be a perfect circle.If e and π belong to quant particle then these numberscan mutually change.Doesn"t it mean that Pi ( a circle ) can be changed into sphere?Doesn"t Euler"s equation cosx + isinx in = e^ix can explainthis transformation / fluctuation of quant particle ?All the best.socratus.=="..The secret of God and Existence is hidden in the ' Theory of Vacuum and Light Quanta' . Posts: 102 Add as FriendChallenge to a DebateSend a Message 3/9/2013 12:45:58 AMPosted: 7 years agoWhy Math Works ?Because math tied with physics.For example:I say that there is circle-particle that can change /transformed into sphere-particle and vice versaand Euler"s equation cosx + isinx in = e^ix can explainthis transformation / fluctuation of quantum particle.I try to understand more details.I have circle- particle with two infinite numbers: (pi) and (e).I say that this circle-particle that can change into sphere-particleand vice versa. Then I need third number for these changes.The third number, in my opinion, is infinite a=1/137( the fine structure constant = the limited volume coefficient)This coefficient (a=1/137) is the border between twoconditions of quantum particle. This coefficient (a=1/137) isresponsible for these changes. This coefficient (a=1/137) unitedgeometry with the physics ( e^2=ah*c)=..If physicists use string-particle (particle that has length buthasn"t thickness -volume) to understand reality(and have some basic problems to solve this task) then why don"tuse circle-particle for this aim.It is a pity that I am not physicist or mathematician.If I were mathematician or physicist I wouldn"t lost the chanceto test this hypothesis.=..Best wishes.Israel Sadovnik Socratus=="The secret of God and Existence is hidden in the ' Theory of Vacuum and Light Quanta' . Posts: 102 Add as FriendChallenge to a DebateSend a Message 3/9/2013 7:36:49 AMPosted: 7 years agoMath and Physics.Klein &Lachi"ze-Rey,THE QUEST FOR UNITY " The Adventure of Physics.=.Mathematics is an indispensable and powerful tool where it has beendemonstrated that it applies to a real world experience. However,it is inappropriate and, as Dingle points out, potentially dangerous,to give credence to deductions arising purely from the languageof mathematics. The problem is that mathematicians now dominatephysics and it is fashionable for them to follow Einstein"s example,with fame going to those with the most fantastic notions that defyexperience and common sense. So we have the Big Bang, dark matter,black holes, cosmic strings, wormholes in space, time travel,and so on and on.It has driven practically minded students from the subject.There is an old Disney cartoon where the scientist is portrayed witheyes closed, rocking backwards in his chair and sucking on a pipe,which at intervals emits a smoke-cloud of mathematical symbols.Much of modern physics is a smoke-screen of Disneyesque fantasy.Inappropriate mathematical models are routinely used to describethe universe. Yet the physicists hand us the ash from their pipesas if it were gold dust. If only they would use the ashtrays provided."It seems that every practitioner of physics has had to wonderat some point why mathematics and physics have come to beso closely entwined. Opinions vary on the answer.Bertrand Russell acknowledged"Physics is mathematical not because we know so much aboutthe physical world, but because we know so little." "Mathematics may be indispensable to physics,but it obviously does not constitute physics."=.Klein & Lachi"ze-Rey,THE QUEST FOR UNITY " The Adventure of Physics==="The secret of God and Existence is hidden in the ' Theory of Vacuum and Light Quanta' . 