Now Standard Model from Pure Logic  Mike  3/2/12 6:55 PM  Previously, I derived quantum mechanics from logic alone. It turned
out to be an easy matter to iterate the process to get the 2nd quantization of QFT. When the procedure used to justify complex numbers in first quantization is iterated in 2nd quantization, it appears that this calls for the creation of quaternions. And when iterated to get 3rd quantization it calls for octonions. Now, I'm informed that the complex numbers specify the U(1) symmetry, the quaternions specify the SU(2) symmetry, and the octonions specify the SU(3) symmetry. And when these are put together, you get the U(1)SU(2)SU(3) symmetry of the Standard Model. References supplied at website below. I recently discovered this iteration process. So I'm not well versed in the hypercomplex numbers, nor in group theory. So maybe some who are well versed in these subjects would like to take a look at my work and give comment or advice. The whole webpage might take an hour to read, and I know some are busy. So below is a bookmark to the last few pages where the iterations process begins. If this seems interesting, please scroll to the top and review the whole thing. Thank you. http://webpages.charter.net/majik1/QMlogic.htm#extention 
Re: Now Standard Model from Pure Logic  Raphael S. A. Alexis  3/3/12 9:47 AM  Just recently I read a paper on arXiv about how one could deduce quantum theory from algebraic probability by adding but one axiom that allowed for vector spaces to have other vector spaces as their components, it really impressed me and your deductions look pretty much the same to me, keep up that work, pal!

Re: Now Standard Model from Pure Logic  Mike  3/8/12 6:47 PM  On Mar 3, 12:47 pm, Raphael Alexis <nervtoeter.n...@yahoo.de> wrote: > > The whole webpage might take an hour to read, and I know some arePlease try to take this more seriously. I've been developing it for years, and now I think I've essentially correct. It has the potential of being a Theory of Everything. 
Re: Now Standard Model from Pure Logic  Mike  3/10/12 2:18 PM  On Mar 2, 9:55 pm, Mike <maj...@charter.net> wrote:... Perhaps some here could help with a problem I'm having. In the derivation I go from ANDs and ORs to multiplication and addition in a rather quick fashion by quoting the paper, Scaled Boolean Algebra. I don't spend much time on it because it seems this is the usual procedure to go from unions and intersections to the addition and multiplication of probabilities. However, I'm trying to find a more complete and obvious proof that one can map ANDs and ORs to multiplication and addition. So what I'm thinking is that there might be some sort of proof in the fact that there is a strong similarity between expansion for implication in terms of other implication and the expansion of the Dirac delta in terms of other Dirac deltas. Is this a type of isomorphism or homomorphism that exists only for implication if disjunction is mapped to addition and conjunction is mapped to multiplication? The math for this question can be seen at: http://webpages.charter.net/majik1/AndOrPlusTimes.htm Any help would be appreciated. 
Re: Now Standard Model from Pure Logic  Mike  3/13/12 1:01 PM  On Mar 10, 6:18 pm, Mike <maj...@charter.net> wrote:So what do we know for sure about any map from logic to math? Well, we would have to map binary operations in logic to binary operation in math, right? We would have to map the operands of binary logic to the operands of math, proposition in logic would have to map to numbers in math, right? The question is whether there is something in the algebra of ANDs and ORs that requires them to be mapped to multiplication and addition. Perhaps the map from logic to math must preserve the commutative or associative properties of the binary operations. And I'm still not sure why False should be mapped to the number zero and True to nonzero. Is there something inherently necessary about only counting objects if they are in a certain region  we don't count objects outside our scope of interest, right? That would suggest the Dirac measure as being fundamental. If anyone has any ideas about all this, please let me know. Thanks. 
Re: Now Standard Model from Pure Logic  Raphael S. A. Alexis  3/13/12 7:59 PM  Very interesting question. Natively AND and OR would have to be represented by functions (switches), possibly with limitations.
Think of a term  some term  where there is two variables, one being "true" state, thus incorporating everything that is true if the EITHER is true, and then the other variable being the OR variable. Now have them be MULTIPLIED with 0 OR 1 to mark which one is currently "true". That is why we use 1 and 0. Now, to decide how this EITHER or OR is to be combined in an AND we need to look at what they represent, it can practically be any operator known to man as long as it makes sense  such is the power of logic. However, if the EITHER states something that needs to be applied with some operator and the OR needs another operator we'd have to decide whether to sum up the outcomes and then devise them by the number of ORs and EITHERs (or ANDs) or handle it otherwise. In any case, 10 would be EITHER; 01 would be OR; 11 would be AND; 00 would be NEITHER you can even go as far as to map MAYBE to 0.5 and basically every possible word for probabilities and quantities as well  no matter how vague they may be in actual speech, they need to be to the point in maths. Hope this may have helped you on the philosophical part, I have to admit I didn't find the time to go through your maths again yet... maybe I will do so later, maybe not. ======================================= MODERATOR'S COMMENT: You should please figure out why your lines are not wrapping properly when posting via googlegroups. fd 
Re: Now Standard Model from Pure Logic  Ross A. Finlayson  3/14/12 4:57 PM  > You should please figure out why your lines are not wrapping properly when posting via googlegroups. fd Hide quoted text 
> >  Show quoted text  Well you could just scale addition and arithmetic up into multiplication space like that (into area) and they would be constant rate in area but why bother when it's simple to derive from first or common principles. Still so wide.... Basically still is memoryless. Model power electonics through generally there inert crystalline media (with built in flow gradient). You want a hybrid of binary logic and basically speciated lines. Would seem to be holographic projection on the reset so then would benefit crystal doping or along lines of sample reconstruction. "I extended that analogy to reconstruct Feynman's Path Integral from simple logic. The conversion is achieved by representing the material implication of logic with the Dirac delta function and then using the complex gaussian form of the Dirac delta. However, at this point my derivation has not been reviewed by reputable sources. It has yet to pass the standards of rigor required by mathematical logicians. Until that time, this effort should be considered preliminary." Yeah, me neither, haven't yet all explained Feynmann integrals (path integrals). How I explain Path integrals' difference from 1.000... in measurement is simply vanishing constant on measurement power and configuration. Yeah sure they work out to 1.000... but spin it up and it's relative. I work that up from first principles on the polydimensional. Still working on: electron or photon. I think the quote describes a framework for discussing representations of the phasics of concern quite generally, which I just invented that word, from the real out through the hypercomplex and that's plain in phase and transport, then see from the first and universal principles that the addup would have those values and why. I don't know what all those are, ..., just these things I notice, from basically hammering on foundations for, some time. So for the Path integral, it is famous where Feynmann shows us how the particle transmits through space and that while the distance is 1, that it adds up to 1.00000018.... or 1.00000000018... or smaller in a reducing constant along measurement, just like in the standard experiment that higher energy experiments increase instead of bound. Yet, the constant matters even as it vanishes in the resolution so for the effect. This must somehow transfer up to the general bond media. Then maybe it would do so along variously organizing normal lines. Physics from first principles: none. 
Re: Now Standard Model from Pure Logic  Mike  3/30/12 9:49 PM  So I think I got it. I reworked the derivation. I made it more
straight and obvious from logic. I removed some of the pictures and replaced the concepts with more reliable math. So I include a a very light, brief introduction of logic to introduce language and notation. And I use these concept throughout. I removed the reference to Scaled Boolean Algebra since I could not parse it, and it took too long to read. I replace it with a short discussion of how algebraic concerns need to be preserved across the map from logic to math. This also seems to provide an easy justification of the Sum and Product rule for probabilities. And I give better reasons why the Dirac delta should be the gaussian version and why it should be complex based on algebraic concerns. Hopefully, this will stand up to mathematical inspection. Let me know what you think. Thanks. Look for it tommorow 4/4/12. 
Re: Now Standard Model from Pure Logic  Ross A. Finlayson  4/1/12 12:18 PM  On Mar 30, 9:49 pm, Mike <maj...@charter.net> wrote:It is one thing but shouldn't be what it's not, delta the gaussian version, you might consider for example a square version for uniform media. It still adds up, as it were, but sometimes the error terms are smaller to evaluate it over the course. (Then in the infinitesimals, infinities: sums and products aren't necessarily having all their properties as in the classical algebra, each still consistent, no longer interchangeable, in a general framework where the product is the collected sums.) About probability  that is very interesting if you are explaining the parastatistics constructively from first principles. That's it. Sure, good luck with that. 
Re: Now Standard Model from Pure Logic  Mike  4/1/12 5:04 PM  On Apr 1, 3:18 pm, "Ross A. Finlayson" <ross.finlay...@gmail.com>
wrote: > Ross, I'm finding it increasing difficult to parse even one of your sentences. And I'm beginning to think that your responses are a deliberate attempt at deflection or obfuscations. For your sentences only seem remotely relevant because you mention a few familiar terms. But they don't seem to be focused enough to even be considered a comment or a question. You don't seem to be adding to the conversation, and my preference would be that you stop responding to my posts, at least until you are able to express enough interest worthy of a response. Thank you. ======================================= MODERATOR'S COMMENT: Yes, I had a hard time parsing what Ross said also but let it pass in case you understood it somehow. fd 
Re: Now Standard Model from Pure Logic  Mike  4/2/12 7:43 PM  On Mar 31, 12:49 am, Mike <maj...@charter.net> wrote:Revision 4, now online at: http://webpages.charter.net/majik1/QMlogic.htm The rather simple way to get the Sum and Product rule for probablities may be of interest for its own sake. The argument that a gaussian distribution is needed for a fundamental theory may be of interest as well. And I think the reasons for the Dirac delta to mathematically represent material implication are now stronger and easier to understand from the math. I no longer rely on graphs to explain how to impose a coordinate system. Instead, I just let the discrete variable become continuous. This is a serious effort, and I would appreciate a critical reading. It should only take about an hour to read. Thank you. 