Geometry of String Theory Solitons

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by
Magnus Holm
Institute of Theoretical Physics
Chalmers University of Technology and Göteborg University – Göteborg 1999

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Abstract
In recent years there has been a dramatic progress in the understanding of the non-perturbative structure of various physical theories.
In particular string theory has been vastly developed during these years, where a lot of duality conjectures between the different string theories have arisen.
The introductory text of this thesis is an attempt to describe this development in short and to make a brief overview of the subject.
Special focus is put on solitonic solutions in various field theories, which is the corner stone for these duality conjectures.
The introduction of supersymmetry is also essential for the understanding of duality by its natural way of handling BPS-states through the algebra.
In string theory, which is not only a supersymmetric theory but also includes gravity, these studies are put together through the discovery of various p-brane solutions to the background field equations.
The geometrical structure of these solutions is studied in some of the papers in this thesis.
In a generalization to the treatment of p-branes as solutions which break the local vacuum symmetry, the theory of almost product structures (APS-theory) has arisen as the natural candidate to the study of the intricate geometry of these solutions.
The last two papers deal with this ansatz where it is also seen that APS-theory is the most natural way of treating all kinds of splitting of manifolds including fibrations, Yang-Mills theoryand Kaluza-Klein theory.
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391 comments to Geometry of String Theory Solitons

  • I’ve uploaded a short interview clip with Andrea Rossi. It is in honor of his special day (and many more special days to come).

    http://vimeo.com/97480659

  • Koen Vandewalle

    Dear Andrea,
    after 65 rounds, it might become time to teach. We do not know how much time is left.
    If your insights and experience allowed you to create this kind of technology, then the way you see and understand the universe and the matter, must be very inspiring for new generations. This force of inspiration and ideas is allways bound to living persons. Books can contain information, but they cannot create nor invent, and are often misunderstood without the possibility for them to correct the errors that their readers make.

    I really hope that there will be possibilities for very small businesses or even individuals to build ecat based devices for themselves, as many people of the world may not have access to the products that are made in a global market system. When important parts of the economy are collapsing in a region, then sometimes industries do disappear in that region. Especially the big and complex ones that need huge production numbers to be profitable.

    In times of recession and collapse, whatever the reason for that may be, we need more small and diverse production systems to survive. They are less efficient, and therefor not competitive in a globalizing economy, but they can better handle all sorts of fluctuations. Devastating events don’t eliminate them all.

    I read that you learnt a lot of things in your fathers’ steel carpentry. Not many of the new generations in EU have the chances to learn from their parents’ workshops. My grandfather was a farmer. On his farm I learnt hundreds of practical things and insights. Nowadays, these small farms don’t exist anymore. They were outcompeted. Some of my own children know very well tapping on their tablet computers, but they don’t have the touch with the real physics. They don’t even know how to start a campfire.

    So having facilities to produce things at home or in the vicinity is important to keep the humans strong and creative.
    I hope that your technology allows to support this.

    Best Regards,
    Koen

  • Andrea Rossi

    Georgehants:
    …I wish I had understood!
    A.R.

  • Andrea Rossi

    Paul D. Kendall:
    Interesting.
    Warm Regards,
    A.R.

  • paul d kendall

    Dear Dr Rossi:
    I LOVE WHAT YOU ARE DOING… CHANGING THE WORLD – ENERGY, AH, THE STUFF DREAMS ARE MADE OF ! ( AND GOD – the source of all states of being/life – OF COURSE )
    What is your thinking on what NI – National Instruments ceo Jame Truchard requested ? That this new fusion be called or refered to as “The Quantum Reactor”
    (quantumreactor@gmail.com — I just created this email site..paul)

  • georgehants

    Dear Mr. Rossi, good advice, but if I had lost you must remember I was referring to New Taiwan Dollars at an exchange rate of 50 to one English pound.
    I bet I would have won though.
    Best wishes.

  • Andrea Rossi

    Georgehants:
    When I was 10 years old my father wanted me to work in his steel carpentery during the Summer holidays. He said I had to learn that I have to work to earn anything. After a month I got my wage and the day after I have gone to the “oratorio”, the classic place close to the Church where in the fifties kids used to go to play soccer and socialize. Some were playing poker and I played with them and lost the fruit of one month of work, during which I returned everyday dirt from the workshop. Since then I didn’t bet even a cent that ” Tomorrow the Sun will rise”.
    Warm Regards,
    A.R.

  • georgehants

    Dear Mr. Rossi, would you take a bet with me for $100 and I will offer you odds of 5/1 that the report will be considered successful .
    Best wishes

  • Andrea Rossi

    Giuliano Bettini:
    This year the Third Independent Party had the possibility to make paramount measurements in total absence of us. I have no idea of all the measurements they made ( I only know some of them I saw during my presence in the neutral laboratory) and I have no idea of the topics of the report they are going to publish. I also have no idea of all the analysis they made and are still making in their own laboratories in Sweden.
    Warm Regards,
    A.R.

  • Andrea Rossi

    Georgehants:
    Please, do not forget that I am a phylosopher that studies Theoretical Physics at least 2 hours per day since about forty years, plus the time I spent making experiments of Physics ( in the different fields I covered during my life), which is uncalculable, but in the range of 40 000 hours in 40 years of work : I made 64 turns around the Sun since when I have been born and I designed and studied my first plant , based on Physics principles, during my 22nd turn. Besides, if the results of the experiment made by the Third Independent Party will be negative I surely will not be considered much of a scientist.
    Warm Regards,
    A.R.

  • georgehants

    Dear Mr. Rossi, it is going to be a very philosophical situation, that when the “report” is shortly published (that can be positive or negative)one of the greatest scientists in history is going to be a philosopher.
    Best wishes

  • Giuliano Bettini

    Dear Andrea,
    as you surely know, five professors (all Swedish) just released:
    http://www.nyteknik.se/asikter/debatt/article3830568.ece
    Google translated:
    “(….) new tests must be partly to clarify whether an anomalous heat production actually takes place and also investigate whether a change in the fuel’s overall isotopic composition takes place. (…) Such tests have now been carried out and the results will be reported in a new scientific article.”

    Signed: Bo Höistad , Torbjörn Hartman , Roland Pettersson , Lars Tegnér , Hanno Essén.

    I think this is very very interesting:
    “..and also investigate whether a change in the fuel’s overall isotopic composition takes place.”
    It seems that this issue has been foreseen in the test protocol this year.
    Are they authorized to do such kind of measurements?
    Best regards, ad maiora
    Giuliano Bettini.

  • Andrea Rossi

    Georgehants:
    Thank you. I follow the Socratic lead never to be sure to know anything.
    Warm Regards,
    A.R.

  • Andrea Rossi

    Steven N. Karels:
    If what you say is true, we will see the consequential results. So far we did not.
    Warm Regards,
    A.R.

  • Andrea Rossi

    LMV:
    I have not a clue of what will be written in the report of the Third Indipendent Party.
    Warm regards,
    A.R.

  • LMV

    Hi Andrea
    Glad to help out a few ideas
    Is the phase angle issue between the output temperature raising/falling and input waveforms being addressed in the coming report? This was mentioned in the critics paper.

  • Steven N. Karels

    Dear Andrea Rossi,

    You posted “even if the electrolysis concept was, and still is, wrong”. Can you please clarify? I know that electrolysis can be much more effective in loading nickel with hydrogen compared to using gas pressure to do the loading.

    Or are you referring to the generation of heat using electrolysis as being wrong?

  • Andrea Rossi

    LMV:
    Nice question, to be taken in consideration for solar couplings
    Warm regards
    A.R.

  • Andrea Rossi

    Pietro F.:
    Thank you
    Warm regards
    A.R.

  • Andrea Rossi

    Enrico Ghelardoni:
    Thank you: I will always find the time for this useful blog from which I always learn
    Warm regards
    A.R.

  • georgehants

    Dear Mr Rossi, may I congratulate you on being able to see the difference between Fact and opinion in your reply to Herb Gillis.
    Much of science would I think be improved if more scientists where to follow your lead.
    Best wishes.

  • Enrico Ghelardoni

    Caro Andrea,
    mi unisco ai molti che ti hanno fatto gli auguri di compleanno.
    Credo infatti che il prossimo anno, quando sarai ormai famoso nel mondo, non avrai più il tempo per leggerli e rispondere da queste pagine.

    Con profonda stima
    Enrico

  • Pietro F.

    le auguro un felice e sereno compleanno!!

  • LMV

    Andrea,

    Any output from a solar panel will be DC, you will then switch-mode convert DC to AC (typical efficiency about 95-97%) then use TRIAC or other mean to cut the Sine waveform to control the power input to the Hotcat. Wouldn’t it be more efficient to directly on/off the DC current supplied to the Hotcat (MosFET or fast solid sate relay and microchip are a few ways to do that)?

  • Andrea Rossi

    Samuel:
    Thank you, really appreciated,
    Warm Regards,
    A.R.

  • Andrea Rossi

    LMV:
    We use alternate current from the source, do not make any conversion into direct current: there is no point in it and would reduce the efficiency.
    Warm Regards,
    A.R.

  • Andrea Rossi

    Daniel De Caluwé:
    I like Bob Dylan, thank you very much,
    Warm Regards,
    A.R.

  • Andrea Rossi

    Fabio 82:
    Thank you!
    Warm regards,
    A.R.

  • Andrea Rossi

    Giovanni Guerrini:
    Thank you very much also for your consideration regarding this blog: I agree.
    Warm Regards,
    A.R.

  • Giovanni Guerrini

    Carissimo Andrea,

    queste pagine sono divenute un luogo virtuale in cui amici si ritrovano scambiando idee e sentimenti nel rispetto reciproco,accomunati dallo spirito del gruppo teso ad uno scopo più grande di noi.
    Questo è un altro grande regalo che Lei ci ha fatto.
    Noi conosciamo il Suo volto,mentre per Lei,giocoforza,siamo nomi senza immagine.
    Eravamo nomi e pensieri,ma in questi anni sono certo che per Lei siamo divenuti,seppur ancora dal viso anonimo,cuori che battono all’unisono a sostenerLa nei momenti bui ed a gioire insieme dei successi.
    Così,da questo luogo,Le porgo i miei più cari auguri di un felice compleanno.

    Con affetto e stima Giovanni

  • Fabio82

    Auguroni!!

  • Daniel De Caluwé

    Dear dr. Rossi, I forgot something in my last message, therefore this correction:
    (It has to be perfect, and therefore, if possible, you could delete my previous message and change it by this one):

    Dear dr. Rossi,

    Inspired by the words of Patrick Ellul in his recent message, I write this:

    After 64 laps around the sun, and 25 laps after the first anouncement of “a sustained nuclear fusion reaction” by Fleischmann and Pons, I wish you many more laps around the sun, and especially a lot of success and a great breakthrough, and the recognition for all your very hard work, in this your 65th lap, that started today.

    And because of this special occasion, I wish to dedicate a song from Bob Dylan to you:

    http://www.dailymotion.com/video/xs13ou_bob-dylan-forever-young_music

    or

    http://vimeo.com/39546541

    And the beautifull text you can find here:

    http://www.bobdylan.com/us/songs/forever-young

    Congratualtions!

  • Daniel De Caluwé

    Dear dr. Rossi,

    A little bit inspired by the words of Patrick Ellul in his recent message, I write this:

    After 64 laps around the sun, and 25 laps after the first anouncement of “a sustained nuclear fusion reaction” by Fleischmann and Pons, I wish you many more laps around the sun, and especially a lot of succes and a great breakthrough (and the recognition for all your very hard work), in this your 65th lap, that started today.

    Congratualtions!

  • LMV

    Hi Andrea
    If the Ecat can work with any heat source, would you one day have a Dc version of the Hotcat, that can run without conversion to Ac power?

  • Samuel

    Congratulations on your birthday.
    Keep up the good work!

  • Andrea Rossi

    Patrick Ellul:
    Very nice definition of birthday!
    Warm Regards,
    A.R.

  • Andrea Rossi

    Herb Gillis:
    Thank you, I really appreciate your kind wishes.
    About your question: no, I did not. What inspired me to begin, to be honest and sincere, has been the work of Prof Fleishmann and Prof Pons when it has been announced the first time. This is a merit they deserve, even if the electrolysis concept was, and still is, wrong. The electrolysis brings nowhere. Obviously, this is only my opinion and, as such, can be wrong.
    Warm Regards,
    A.R.

  • Patrick Ellul

    Caro Dr. Rossi. E’ l’ininzio del suo 65o giro intorno al sole…. che bello. Tanti auguri.

    Dear Dr. Rossi. This is the beginning of your 65th lap around the Sun… How beautiful. Best wishes.

  • Andrea Rossi

    Todd Burkett:
    Thank you, really appreciated,
    Warm Regards,
    A.R.

  • Todd Burkett

    Happy Birthday!

  • Herb Gillis

    Dr. Rossi:
    Best wishes on your birthday.
    I’m curious if in your research you have encountered any old reports of strange heat phenomena that might have been caused by unrecognized LENR effects. Things like unexpected heat releases or explosions (ie. before 1989).
    Kind Regards; HRG.

  • Andrea Rossi

    Gherardo:
    In the USA it is not late, it is right.
    Thank you,
    Warm Regards,
    A.R.

  • Gherardo

    Quite late but still in time!
    Buon Compleanno Dott.Rossi :-)

  • Andrea Rossi

    Koen Vandewalle:
    Thank you!
    Warm Regards,
    A.R.

  • Koen Vandewalle

    Andrea,
    Happy Birthday
    Koen

  • Andrea Rossi

    Gianluca:
    Thank you very much for your kind wishes!
    Warm Regards,
    A.R.

  • Andrea Rossi

    Martin:
    Thank you for your delighting invitation, I wish I could! I am working 14 hours per day…it is hard, also because I have also to lose a lot of time to defend myself for issues that have nothing to do with my work. My life is at a no return point, I can’t break, I can’t change, I can’t retire.
    But you have been delicious, God bless you,
    Warm Regards,
    A.R.

  • Martin

    Dear Andrea,

    I thought about your age and the hard work you have to do every day!
    Not only phisical but also a heavy menthal task. I know you like your work but
    Think it is important also to enjoy life. Is it possible for you to enjoy life or retire if you
    Want to? I hope your answer Will be yes. If so you’re welcome to visit my home in Holland I promise you Will have à good time!

    I wish you a lot of succes!

    Early follower Martin

  • Gianluca

    Buon giorno Andrea.
    Buon compleanno.
    E’ vero che dopo una certa età sarebbe meglio non ricordare a nessuno
    un altro anno trascorso ma, nel suo caso, un altro anno presente nel panorama LENR
    (senza essere stato distrutto da Lobby e malaffare) significa molto per Lei stesso e per
    noi che ci crediamo sin dai primi giorni.
    Ancora tanti auguri dall’Italia.
    Gian Luca

  • Andrea Rossi

    Keith T.:
    Thank you for the information,
    Warm Regards,
    A.R.

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