studiot

Yes I commented on just that in another thread. 3. This is closer to topological solitons or torsion fieldsI’d actually argue that what I’m describing aligns more with things like: Skyrmions Hopfions Topological defects in spin systems

No. So go back to your drawing board and think again.

Differential diagnosis is simple examining all alternative explanations for symptoms and picking the best fit, rather than 'you have a tummy ache so here are some rennies'. And one of those alternatives might well be further investigation.

Thank you for your reply. Short comment this time. Have you heard of what doctors call 'differential diagnosis' ? Your AI seems to be doing a bit of self reinforcing the conspiracy explanations.

Don't be sorry. We have all got to learn from someone or somewhere. That was a very quick response. Does your human team undestand B-S and its link to derivatives and thence to cloud cuckoo land ? It was the stock market equivalent of what we used to call getting everything on the never never. Talking of saying we used to say Good management is efficient use of other people's equipment and resources. Google could never got where it is without the massive resources funded by the US taxpayer. I wonder how much it has put back ?

@Prajna Firstly, you don't need to go through the @ routine if you actually quote someone, they will automatically receive notification of the response. OK so how widely are you casting your net ? For instance have you heard of the Black-Scholes equation. The self reinforcing feedback from inappropriate use of this equation caused the financial collapse of 2008. Talking to my wife this morning, I found out that she has alos noticed the change in Google search. I also wonder how the age of the reference is weighted. New stuff always seem to come to the top. And if AI is discussing with AI then how is this counted in the probability stakes ? Is it for instance now counted as human interaction in weightings ? Or are we heading for yet another self reinforcing crisis cause by misuse of mathematical tools ?

Yes it does. So what ?

Then, by definition, it is not a field. When we have established the basics we can go on to the requirements for quantum theory. Once again you cannot just declare something to be quantised. Emergence has become popular further AI doublespeak All curvature involves at least one angle. Relativity Tensor curvature involves 2 Surveyors call this a deflection angle not a distortion. It is no more a distortion than saying the surface of the Earth is a distorted plane. For a person who claims no higher level training in maths or physics you have suddenly introduced a lot of high level stuff, some of it at post doctoral level. I fully understand what you are saying but the simple fact remains you 'Field' must obey Newton's third law. You have nowhere near established that such a thing is feasible, let alone exists. Perhaps you day job in the furniture trade, has led to overfamiliarity with stretched membranesm and even suggested the 'underlying' Field. Where is it underlying ? What is it made of ? What Laws does it obey or are you invoking ?

Thank you for this response, I note you are running on ahead with others, assuming this is now accepted. For myself I want to proceed much more slowly and cautiously. So a tension field. This is impossible without external anchors, yet you say If it exists everywhere then these anchors cannot exist. They are of course predicted by what is fondly known in topology as 'the hairy ball theorem' You can't just say (like in schoolboy maths) Let the vacuum have tension. What is being stretched ? You need to introduce and define these things and their properties before you can use them. This is typical AI doublespeak. Have you ever heard of any curvature that is not angular ?

One thing I used to do quite frequently was to access google first ( not as a search, just to show that the browser is working) as it was very quick and reliable. 2 days ago I looked at the address bas Huh ?!!# Why .com ? I use .co.uk After several tries I discovered that big G has pissed on everybody in the world by no longer regionalising its webpage. Everybody has to go to HQ. Result Super slow inadequate searches and bad gateway errors Apparantly G says it is to enhance user experience.

... I take it you are avoiding answering me again ?

Interesting. I've been having some trouble over the last few days experiencing some pretty poor quality searches. Not AI , just ordinary stuff like I was trying to find a car service manual. the I noticed the AI report was gibberish, but I just went straight past.

Let's go through these one at a time. So what oscillates ? The whole medium throughout all space? Some part of it, if so what part of it ? If so how is space divided up into these parts ? You need to describe the mechanism of oscillation and what you have described so far is different from say the EM field mechanism. You should note that oscillation, as opposed to wave motion, is necessarily a cyclic process which thus involves Pi numerically, without units, as others have alreadydescribed and exchemist just reinforced.

I don't see the point of proceeding to consequential mathematics, when I don't agree with what you call the core idea. Do you actually understand resonance ? Which means do yo uunderstand the necessary pre-reqiisites for resonance to occur ? If so in what way have you introduced it ? It is a nice word often bandied about to avoid maths and then usually introduced without stating how the pre-requisites are met.

Good points all. Well done for being able to spot these. +1

So to test this model on any given application we have to find suitable physical quantities we can measure (they are called observables) and ... well yes go measure them. Taking my last example, I remember such an experiment. It involved bursting a balloon and measuring the sound intensity against a stopclock. The audio engineering term for the half life in the graph above is called the reverberation time and it is an important architectural characteristic for concert halls and the like. What do you think a scientist should do if he didn't get this decay curve ? Whilst I fully agree with joigus on the rest of his posts here, I beg to differ about this. The impedance of a vacuum is a very important parameter to radio antenna designers. But it remains to be shown if it has anything whatsoever to do with your hypothesis.

As a furniture crafter I think you will understand the different between a pattern and a model. A pattern is something we use when we already know all we need to know about something we want to make either as a one off or many times over. A model is a copy of something that either already exists or we want to make or study. But it is never a perfect copy. Otherwise it would be exactly the same as the object etc under consideration. The model will be as close a match to the features or characteristics as we can manage, but may well be quite different in characteristics we are not interested in. For instance we may make a model aircraft to test in a wind tunnel. It will probably not be the same colour, may not be the same material, will almost certainly not have any 'interior' not be the same size etc. But it will have the same aerodynamic characteristics as the proposed aircraft. Because we hope it will fly in the same way. Sometimes we simply want the mathematics to be the same and we call this a mathematical model. Here is probably the most widely used mathematical model of all. The curve is the same whether we are talking about radioactivity, some electrical circuits, first order chemical reactions, population decline, drug elimination from the body, a sound dying away in a concert hall and many many more. How are we doing ?

I can't see why you think I had a dig at anybody. To quote your AI Let me be blunt I told you exactly what I thought lay behind you communication difficulty, (aka chasing the wrong rabbit) and offered an insight - that you should find out exactly what Science (all science and maths has the same definition) mean by a model. And you ignored it, instead choosing to ask an AI rather than a human. As a matter of interest would you give apprentices sharp chisels, saws, planes etc and just let them loose ? Or would you start by making sure they know how to safely handle these tools, then set them to go on and fashion furniture you (or others) have not dreamed of ? Quite a few members here are quite pround of the amateur woodwork, but would be glad to learn tips from a professional. There are several threads with photos etc about this.

You have no way of knowing how i learned my stuff, so you are making unjustified assumptions, and I didn't say anything about going to uni. For your information we have one or two self taught members who are regarded as expert in higher Physics and its associated maths. Everybody take note of their always excellent posts.

Yes indeed. Perhaps because you have been teaching yourself for so long you don't like to learn anything form anybody else ? In this case I suspect you don't understand the nature of models in Science generally. ? As a result you are chasing the wrong rabbit.

I didn't say or mean it was a 'metric'. My question stands regardless.

There are several ways. The forum editor allows you to to do some very simple but very useful things like superscript and subscript directly, and is the only tech forum I Know that does this. Click on the three dots at the right hand end of the top bar. You can enhance that by using the extended character set to select other simple maths symbols, greek letters and the like. Just open (by typinginto the search bar) the Windows tool 'Charmap.exe' Then select the symbols you want and copy/paste them inot the text. It can be more efficient to have two or three selected and delete the ones you don't want from the pasting. All this only gives in line maths. So if you want fractions or more complicated expressions, As KJW is showing., we use LaTex or MathML. There are a couple of free online editors. Just assemble the expressions, then copy and paste from the editor to SF. I use a commercial version called MathType. https://www.sciweavers.org/free-online-latex-equation-editor https://editor.codecogs.com/ Actually you can construct Pi geometrically, without a circle. Draw a line about 5 units long. You have constructed all the number between ~0 and ~5 This must include Pi as it is such a number. But it is impossible to draw a line of exactly Pi units length with standard construction techniques.

Well it sounds like you have progressed a long way forwards if you can recognise all this in yourself. +1

I never said they did so exist. But I don't understand what yo umean by nonmaterial abstractions. If you mean that abstractions, whatever they are , don't exist then I would challenge you to go and stand for half an hour in the middle of the road outside my house at noon. The walk over to the verge and stand under one of the many trees. Then tell me that there is no such thing as a shadow or that the non material cannot affect the material world or somesuch. That is how I am understanding/interpreting your words.

Thank you for exploring this further. +1 This question is far from fully worked out so 20th century studies have revealed that the 19th cent pat heirarchy of integers, rationals, reals, complex, etc. Yes louiville's theorem is important but the new stuff was ushered in by Hensel and his p-adics., leading to the notion of other number fields that are different from the reals @mike.appleby It might be worth exploring the mathematical question of what is a number a bit further and selecting a suitable understanding for your purposes. Understanding that sequence ( integers, rationals, reals, complex, etc.) is enough for your purposes. Suffice it to say the 'Pi ' is a real number, nothing special at all. As such it appears in many ways in mathematics, in geometry, calculus, trigonometry etc, just like any other number. But note I mentioned coefficients before. Coefficients are more general than numbers in that are modifiers, but they can refer to other things than quantity. Numbers are the usual ( but not exclusive) quantifiers. Numbers are quantifiers of properties that can carry units or dimensions. Young's modulus for example carries units. But other properties such as refractive index do not. Nevertheless they still need quantifying. But there are also different types of number. And these different types obey different rules of arithmetic. For example adding first and fifteenth make no sense at all. Such numbers are called Ordinal Numbers nad carry no meaning of quantity. Numbers that convey quantity are called Cardinal Numbers. Remember also that, for instance π is a symbol or representation of the number itself: It is not the nember. I called it poetically ironic because Buckinghams π theorem is named after the mathematicians use of the capital Pi to represent multiplication in the same way capital sigma is used to represent addition. So as (nearly) always it is more complicated than we might like.