Galilei, Gold, Ren - votes for ultimate realism by Eckard Blumschein

Dear Eckard,

Please consider my comments compliments. I didn't mean it any other way. I was actually apologising for my own sloppiness in Fourier transform terminology.

I quickly read your attached papers yesterday, and just reread them today.

If the mathematics admit the possibility of negative frequencies and negative times, then what does that correspond to physically?

You said "While negative frequencies in a complex domain are just mathematical artifacts without physical meaning, this does not mean they may be neglected. They convey the encoded unilateral origin and its sign." and "One also needs the ignored phase as to correctly return to a realistic unilateral function of time."

I think I understand what you are saying, but wondered if you have a good physical analogy that corresponds to this.

Steve Dufourny is a Belgian Botonist/ Geologist working on a Spherical GUT. English is his fourth language behind French, Dutch and Spanish. So he is difficult to understand at times.

Good Luck in the contest!

Ray Munroe

Dear Lawrence,

I overlooked your attachment. Thank you. The headline is more promising than the text claims: ... report measurements from neutron-scattering experiments showing that the low-energy excitations in spin ices are reminiscent of Dirac's elementary

magnetic monopoles ...

I am more interested in the question whether it is justified to consider the past merely a fading memory. I already wrote that memories belong to memorized information. The past of reality is definitely more comprehensive. We can only memorize pictures of the past. A memory rather corresponds to a prediction or a plan. I am arguing that physics failed so far to adequately obey the fundamental qualitative difference between past and future. The past is the basis for abstraction and for pictures from the past and the future, not the other way round.

Regards,

Eckard

Dear Anton,

I do not share your opinion that trust in causality implies to believe in some primordial moment, creation, or whatever. In order for an insect to save its life when it perceives the call of a bat, it has its ears immediately below the muscles of its wings. Would it benefit from belief in a creator?

Regards,

Eckard

Dear Ray,

You wrote:

"If the mathematics admit the possibility of negative frequencies and negative times, then what does that correspond to physically?"

-- Negative and positive frequencies are the result of decomposing the nothing of what is known for sure from the future into two mutually canceling parts. Oliver Heaviside introduced this trick with his decomposition of a step at zero into even and odd part.

You said "While negative frequencies in a complex domain are just mathematical artifacts without physical meaning, this does not mean they may be neglected. They convey the encoded unilateral origin and its sign."

-- I got into the nitty gritty in M283.

and "One also needs the ignored phase as to correctly return to a realistic unilateral function of time."

I think I understand what you are saying, but wondered if you have a good physical analogy that corresponds to this.

-- I do not refer to a possibly boring analogy. I refer to what seems to be a very serious mistake by the fathers of quantum mechanics. Weyl at least wondered himself about the theoretical T-symmetry.

Regards,

Eckard

Dear Steve,

I am pleased that you agree in that mathematics provides structures that do not necessarily have physical correlates in every case. On the contrary, I vote for apt restrictions.

Let me also mention that my study of hearing made me aware of the possibility to jump from the ordinary notion of time to an equivalent but quite different one because the ear does definitely not adapt to the steady increase of the timespan counted from Christ's birth. While not uncommon in daily life this backward and observer-bound perspective is an affront for physicists and I see it a challenge for mathematicians, too.

Regards,

Eckaer

Eckard,

I guess I didn't read attachments because I did not see them or know about them.

The reason complex Fourier transforms are used is analyticity. Complex FTs perserve the Reimann conditions, or holomorphy. In quantum mechanics this translates to unitarity. Of course the exponential operator can be broken into its real and imaginary parts.

When it comes to time with wave mechanics, wave mechanics is time reverse invariant. The physics is perfectly linear, and there are no information loss systems or attenuations. The distinction between past and future comes with information and thermodynamics. This involves some results of Shannon-Khinchin theorems or Kolmogorov entropy. In these cases information can be degraded, scrambled or erased in a system, resulting in entropy increase, or information may be increased in a "machine" with available free energy, just as refrigeration can lower the heat and entropy of something through a heat pump. So the arrow of time problem is involved with the nature of information (even quantum information) in the universe. In fact it involves the structure of the entire cosmology.

If we watch videos of one billiard ball hitting another, then a reversed video is hard to distinquish from the forward play. Yet we can easily tell the difference between the cue ball breaking the racked balls, as opposed to a time reversed video where billiard balls all come together nicely and eject the cue ball. There are a far greater number of ways the balls may be generically arranged on the table after the racked balls are broken, than before. Things like wave mechanics and Fourier transforms and the rest really do not work well in this domain of physics.

Cheers LC

Dear Lawrence,

Let me call a spade a spade. What is wrong that IS wrong.

For your convenience I will again attach the two files.

Perhaps it is necessary to discuss in detail the mistake by Heisenberg et al.

You were close to the truth when you wrote:

"Things like wave mechanics and Fourier transforms and the rest really do not work well in this domain of physics."

However, Fourier transform is flawless. Just incorrect use led to the wrong and absurd conclusion that there is T-symmetry in the micro-world while anything else is non-anticipatory.

Right now I am short of time. Later on, I will respond in detail.

To all:

Please tell me what questions I did not yet or not yet satisfactory answered. I recall solitons but I forgot an other hint.

Regards,

EckardAttachment #1: 1_How_do_negative_and_imaginary.docAttachment #2: 1_How_do_part_2.doc

Hi all ,

Dear Eckard ,

You are welcome.I wish you all the best in your work.The time is a beautiful constant of evolution in fact ,perhaps that the better is to use it with rationality in its serie.

Dear Lawrence ,

always a pleasure to read your extrapolations

Dear Ray ,Dr Cosmic Ray ,

It is very nice that .I am a little frustrated with my english .But why thus I don't learn more .hihih sorry to all .I am not well organized in fact .You know Ray ,about geology ,I know very well and learn all days too but I haven't my certificate in geology ,I stop before , it was the date when I have had a little cerebral accident ,several days in the coma,it was difficult after ,I had difficulties to speak correctly during several months .Fortunaly ,the time has balanced that .I have some head-aches and that is all .I am well in fact .A little isolated in my home but well .

I thank you very much Ray ,indeed my english is our fourth here ,in Belgium there is two regions,dutch and french ,and the french is a latin language thus for italian and spanish ,it is easy for us,the others latin lang.are roumanian and roman mainly .The dutch is a germanic language like english and german,some similarities are there thus .For exemple Ik spreek Vlams in dutch is I speak Dutch in english .I know the vocabulary but the grammar??? ,I confound all .I think that the better to do for me is the short-phrase ,simple .Short and precise in fact.

Take care dear Ray ,in dutch tot ziens ,in french à bientôt,in english see you soon I think .

Steve

Dear Eckard ,

Could you elaborate the meaning of the - in these tranformations of fourier please? .

I think you make a big error when you don't consider the irreversibility and the linearity of the physical dynamic .

Some parameters are fundamentals and linears .

And the time is a constant of this system .You can take the micro, the meso, or the macro point of vue ,these fundamentals don't change in their linearity .The quantum mechanic is correlated with the cosmological dynamic, with of course different parameters but the thermodynamic laws and the constants ,relatively perceptibles,the time rest invariants .

You can play with the pression ,the volume ,the temperature ,the density ,the mass ,the energy ,the entropy ,but not with our linearities ,reals in our physicality.

The fact to analyze a system like that is in contradiction with the evolution point of vue and its irreversibility of creations on this line time .

This essential piece can't change its state ,fundamentals everywhere in all centers of interest.

The maths are a very best tools ,probably the best for analyze our physicality .But we can't play without rationality .If the infinity ,the -,the 0 more the imaginaries are inserted in an extrapolation of the mind where the time isn't considered,thus how can you arrive to a good understanding of your physical world and its specific laws .

Let's take a fourier serie during an harmonic analyze,what is your domain ,your intrinsic laws,the periodicity,the variables ....you can take bessel too for an analytic harmonic approach ,...in the physicality we can't insert the numbers what we want ,or the domain what we want ,without an irreversible evolutive system ,what is the real sense of an analyze if the essentials and the fundamentals axioms aren't considered?

It is impossible to encircle thus .

You know ,I am ok with math if and only if they synchronize the real physicality and its irreversible linearity .

It exists limits in all physical systems and the irreversibility of the gravity ,mass ,time ....are an evidence in a whole analyze.

Best Regards

Steve

Dear Lawrence,

The hint I forgot related to Markov. HMMs are playing a dominant role in speech recognition, and this is somewhat related to my effort for elucidating some enigma of audition. Therefore I know that in case of a Markov chain x->y->z the future is conditionally independent of the past given in the present. Markov chains can violate the 2nd law of thermodynamics. In all, it gets obvious that on the level of information about a source variable the connection to reality has been stripped off. In words for everybody: You can manipulate a photography, a recorded sound or a movie at will. I merely vote for ultimate realism.

Now I will look at what you wrote at 03:14 GMT:

"The reason complex Fourier transforms are used is analyticity. Complex FTs perserve the Reimann conditions, or holomorphy. In quantum mechanics this translates to unitarity. Of course the exponential operator can be broken into its real and imaginary parts."

-- Isn't your first sentence a tautology? Less educated people will not understand the meaning of Riemann conditions, holomorphy and unitarity, and if they could do so, they did still not understand why only a one-sided function of 0

Dear Eckard ,

I beleive strongly that it is mpossible to violate the thermodynamics laws ,impossible .

With a chain ,a serie ,a periodicity,a domain ,...it is really and pragmatically impossible .

It is not because one person has invented a method of violation ,what this method is good ,correct.

Don't search the complexity where the simplicity reigns I say me all times.

About Riemann ,it is simple ,the system is finite with prime numbers ,the infinity is just a complexification of numbers by addition or multiplication ,and there the time is essential in its irreversibility (to create the universal serie and its specific oscillation ).

An other point is the nature of the complexs ,I don't like in fact i²=-1 but let's assume this tool ,thus how can we interpret correctly the geometry ?And if the series of complexs are lim tending to 0 and infinity more bizares coordonates .Oh My God ,Where are we thus? The time in this finite system is a pure constant of evolution .

Just a thought

Regards

Steve

Dear all,

I have no idea why the last part of my reply is not to be seen.

I consider it understandable to everybody and therefore possibly unwelcome to those who cannot answer the question why Fourier transform requires complex numbers.

I will try and write it down again, maybe not so concisely:

Less educated people will not understand the meaning of Riemann conditions, holomorphy and unitarity, and even if they could do so, they did still not understand why only a one-sided function of x (0

I will try to get back to this later today. Wave mechanics is time reversed independent, which is the case for Maxwell's equation, Newtonian mechanics, quantum mechanics and so forth. Yet for complex systems the exp(iωt) becomes replaced by an exp(-E/kT). This is a bit handwaving of course, but the unidirectional arrow of time is something which involves the second law of thermodynanamics dS/dt >= 0.

Cheers LC

Dear all,

The reason might be, I used the symbol smaller than.

So I have to write it down again.

... they did still not understand why only a one-sided function of x between 0 and oo can always be expanded into real-valued cosine components.

In order to understand Fourier's approach recall that he dealt with an endless heat-conducting ring, not a ring in mathematical sense. Imagine this ring cut into a piece of length L on a line. In order to preserve the endlessness, imagine the data on the piece mirrored to both sides with endless repetition of the combination of the original piece and one of its mirror pictures, either the left or the right one. The period of this repetition is 2L.

It is recommendable choosing one of the two borders of the piece as the reference point x=0 of this period and benefit from the belonging even symmetry. Then all harmonic components are cosines.

With a different choice of the reference point, the period to be expanded includes attached parts of the mirror picture on both sides. In particular, with the reference x=0 located in the middle of the original piece, we may have only anti-symmetry and therefore only sine components.

While we may take advantage of the shift property of sinusoidal functions in complex plane, the most natural spectrum is nonetheless the real-valued cosine one. A complex spectrum reflects redundancy due to a different choice of the point of reference.

As soon as one understands this and the limitation of measurable physical quantities to positive real values, one can derive in what e.g. Schroedinger was wrong.

Regards,

Eckard

Dear Lawrence,

I understand what you called handwaving. The invariance of the laws of nature against time reversal is of course not restricted to quantum mechanics.

I do not see any reason for a difference to the macro-world.

Also, my topic is not simply the so called arrow of time but the impossibility that future events act back.

In other words, causal chains of reality ramify backwards. The considered forward ramification is uncertain except for the closed systems of a sterile and ignorant theories. There is no Laplacian demon available, not even for particles.

By the way it is a matter of convention whether one prefers iwt as do physicists or -iwt as do electrical engineers.

The wrong interpretation of apparent symmetry in QM was caused by changing the point of view to the Hamiltonian. So called analytical signals are complex functions of positive and negative time corresponding to real and just positive frequencies.

Regards,

Eckard

Regards,

Eckard

Dear Lawrence,

While I am neither really interested in magnetic monopoles nor competent in this field I would like to maintain my guess that electric monopoles are the basic ones. The described effect seems to relate to delicate measurement in solid structures. Isn't it a long way to have elementary magnetic monopoles if they are possible at all? I would rather suspect the article you quoted motivated and pushed in by a desire for sensation.

Regards,

Eckard

I included that because a comment about monopoles. The papers are rather interesting, and if there are polytope structure to space or combinatorics of spins such as twistors, then this might point to the existence of Dirac monopole string in field theory. It is reasonable to think that at high energy there is a duality between electric and magnetic charges according to S-duality

eg = nh

h = Planck constant (without 2pi).

Cheers LC

I never came across with S-duality, U-duality etc. My knowledge is restricted to the idea that elementary electric fields are imagined to surround an assumed point- charge (a monopole whose counterpart is located at infinity) but are free of vertexes while magnetic fields are assumed to be charge-free fields of vertexes surrounding a line. Because Dirac was also an EE, I wonder how he imagined magnetic monopoles at a time when strings were not yet invented. Perhaps he did not imagine them at all but he merely concluded from formal mathematical dualities that they could be possible.

Regards,

Eckard

Dirac's monopole is basically a long solonoid, where if the solonoid, called the tail or string, is made long enough the opening you observe appears as a monopole. Dirac did a number of brillaint things, in particular taking the "square root" of the Klein-Gordon equation to get the spinor wave equation, called the Dirac equation.

Cheers LC