Edgard Neuman

I found my mistake. This function is discontinuous at every decimal number that ends with zeros.. and continuous otherwise

ok, bye: ! no but seriously (sorry i'm drunk right now), if you take e (as in epsilon) is obvious that f([x-e;x+e]) is limited.. I mean there's a number of digits n so that [x-e;x+e] is in [(n digit of x)0;(n digit of x)99999....] and so f(x) is in (you know what) I'll be much bold (and maybe wrong) : if there's a range limit on Y when there's a limit on X, THEN there's a limit on X when there's a limit on Y

I call to your sagacity to figure it out by yourself 😉

Hi, I've seen a video that reminded me of the definition of continuity (that you can find here). Somehow it seemed it was not what my "humble intuition" (sorry for that) excepted (although I remember it from school).. (no I don't confuse continuity with derivability ok). My intuition is "a function that you can draw without lifting the pen".. So I thought maybe I can find a function that is obviously not drawable without lifting the pen, but still match the classic definition for continuity, and I found a very simple one : Take any real number x, write it in decimal, and then recompute it in base 8 So, in "math" (I try my best) term : x = sum(dn * 10^n] f(x) = sum(dn * 8^n] (where dn are the decimal digits For instance : 0.5 ⇒ 5/8 = 0.625 0.1122 ⇒ 1/8 + 1/8^2 + 2/8^3 + 2 / 8^4 =0.14501953125 This function is defined for any real AND we can always find a box as little as we want around any point for instance, we know that if x is in [0.12364...(n digits)0 ;0.12364...(n digits)99999] f(x) is in [f(0.12364...(n digits));f(0.12364...(n digits))+ 8 ^(-n)] and we can take as many digits as we want. And we also know that this function do have "jumps" everywhere, in any segment Am I getting something wrong ?

hi, this may be a dumb question, but I'm wondering (read carefully every details) : Can we use a very strong electric field to separate electrons from nucleus of some hydrogen or helium gas (a macroscopic quantity, not just some particles, it's not a particle accelerator), then accelerate the nucleus' at high speeds using electric fields, then making them collide in large quantities... (and maybe uses the electrons at the other side to go back with nucleus at the end) and then use the fusion energy obtained to power the whole machine ? thanks

Sorry but I have no more time for this. Does anybody have a valid reason to believe negative rest energy/mass (if you think it's not the same thing, that's not my problem) particle can't exist ? So "being an object" isn't a real thing, just like "being a particle". The metal of you cars "change its shapes", just like the energy of your particle "change its shapes". And the quantity of object that depend of kinetic energy of the cars, isn't frame dependent. Think about that. (I would have no problem explaining to you how it is possible, it's one of the thought experiment you have to understand to really understand the beauty of special relativity.. you would need to think about "inner" kinetic energy (frame independant; that can be generalized as thermal energy as long as you accept it can be macroscopical as in your cars) and "outer" kinetic energy (frame dependant, that is indeed the kinetic energy of the center of mass)... and then when you understand the "hierarchy" of systems, you would naturally conclude that obviously "inert mass" IS most certainly the inner kinetic energy of particles 🤷‍♂️)

So I repeat once again, because you don't seem to think. I've written this 3 times now. SO PLEASE, READ AND THINK. Your model : particle = "matter" with properties " mass" and "energy". I understand that. Thank you. That's how you see things. And you have a lot of people that write books that think the same. OK. So you think there is something called "matter" that exists. and IT CAN have mass and energy. NOW. I have 2 proton. SO that's "2 proton matter" what ever that means (and "rest mass" property ). I accelerate them. SO That "2 proton matter" that have "a lot kinetic energy" as properties, (like their position, speed, that are also properties. I know what a property is thank you, I have 25 years of software development) THEY MEET. Now you have 1000 particles. That's " 1000 particle matter" and "some mass and energy" (that is according to the conservation of mass energy). IF "particle matter" is something that "EXISTS", where does the "1000 particle matter" comes from ? Was it in the two proton ? Does "2 proton matter"/ 1000 = 1000 heavy particles ? I'm sorry, you're saying that "something" exists by itself, but that thing doesn't obey a conservation law. So maybe you're just wrong. (By the way, if you knew logic, you would now that if something is "constant" it's usually indicate that it's not a "true" property, but the result of a law. Like PI isn't a property of circle of radius 1... that's too meta.. in that case, we can agree that a property is an aspect of the way something exists and interacts with the rest of the universe)

You know that it's originally Einstein's idea ? That's "mass energy equivalence" . There was, once a "law of conservation of mass". And then a "law of conservation of energy". AND THEN, in 1905, Einstein discovered the TRUE LAW : the conservation of mass/energy. Maybe you don't read enough of what I write. You suppose there is "something" else than energy, that go into particles. OK. I take 2 protons. I accelerate them. They have rest mass of two protons and a lot of kinetic energy, but in opposite direction. They interact. A thousand of various particle are created. What are the new particles made of ? Is there something else we had to add to the system to make those particles ? You may talk to me about "particle / anti particles" pair from the void. The particle / antiparticle annihilation is giving energy. So the opposite reaction need energy. (Virtual pair may exist a short time but can't last (I don't believe it, but it's how your physic model works).. ) Particles physics doesn't work if you don't accept mass/energy equivalence. Sorry for your "caterogy". Does one of them creates problem ? I read about the problem of negative inertia. There's good articles about the trouble with negative mass, and I know there's various analysis with different results. https://en.wikipedia.org/wiki/Negative_mass

That's a trap. You answering my original question doesn't require me to dive into this question. (I know there are studies and as far as we know it's the same.). I have no reason to doubt that the thing that provoke both effects and measurements (the gravitationnal field and the resistance to forces) is one unique thing. I know what energy is. I know what mass is. I'm explaining to you that it's the same stuff that make both. Have you heard of nuclear reactions and particle accelerators ? Do you even understand relativity ? That a particle gain apparent mass when accelerating ?

Yeah it is. So really you all don't understand mass / energy equivalence ? http://ifsa.my/articles/mass-energy-one-and-the-same

Ok as I suspect, you are not understanding me. ALL OF YOU. READ THIS : MASS IS ENERGY. I'm talking about negative rest energy that is negative mass. You talking to me about RELATIVE FORM OF ENERGY is meaningless. Talking about "negative mass" IS talking about "negative energy". You may not "understand" that, but that's a very known fact. Energy you get from the sun, that make you leave.. comes from mass of hydrogen.. I already said that about 10 times. Evoking a "category mistake", that is about logic, that is the representation of things and not the things itself.. is .. a category mistake. I'm not even trying to be funny. You're talking to me about the name you give things and how you categorize them. That's not physics, that's philosophy. Energy is the name you give to a quantity that can change form in many process. Mass is a property of object that is observable by how they bend space time. It appear that rest particle have rest mass. NOW. You can convert mass into energy and energy into mass. EVEN THE REST MASS. So the law of conservation is the law of conservation of "MASS/ENERGY". If you could split a atom, you have part of the mass of the atom (that was really strong force energy) converted into OTHER FORMS of energy. I don't make a category mistake : your categories are wrong.

"This will lead you into nonsense if you are not careful. I fear it is already doing so. " OK. HOW ? WHY ? I'm sorry I need arguments. I'm not buying your "vision of things".. " a category mistake" ? What does that even mean ? There is a "category law" in the universe? ". A physical system that has energy may also have a shape." Uh thank you. I wasn't talking about the "shape" of a solid object, I was talking about differents forms mass/energy can take. I am really really astonished. You know about how quantum physics works. RIGHT ? You throw 2 protons against each other. AND BY CHANGING THE ENERGY YOU PUT INTO, YOU GET MORE AND MORE PARTICLE OF VARIOUS NATURE. Supposing that "something more" is needed to make a particle than energy, would physically imply particle accelerators don't work.. You had "energy" and now you have "various particles". How does that even work according to you ? In that scenario, how can you not agree that mass is energy and that there is no additional charge that are conserved that the one that are opposite to each other. "Everything is made of energy" is a Einstein quote. You understand it when you understand the meaning of e=mc². I assumed every physist know that mass is a form of energy. There's tons of video explaining to everybody that a majority of the mass of a proton is the potential energy of strong force. Don't you know about that ?

"BTW, convertibles and roofless cars exist." You don't seem to get my metaphor. Convertibles exist, therefor, in that metaphor, your model (your "car with roof") isn't the law because it works. You're telling me I don't undertand things, by not giving me the detail of the argument, I supposedly don't understand ? You didn't give me any science by saying "that's how the model is build". If anything, if it's a choice of the model, it ain't a proven fact. Why does the model require energy to be "a property" and what does that even mean is my question. I don't understand that rule. That's why, because you pretend to do, you can answer me. Right ? Science I believe, but you're not science until you have arguments. Science is proven by experiments, not model. I don't have to "trust" you. "The energy of a single isolated particle is meaningless" OK, WHY DO YOU EVEN BELIEVE THAT ? A single particle doesn't exist, does not a rest mass ? Maybe you don't understand me, because you don't understand that mass IS energy. A rest mass isn't convertible into energy ? Is that "science" of yours written somewhere ? Give me the article of Wikipedia, or the link, that demonstrate that a single particle with its rest mass (that is SIMPLY CONVERTIBLE INTO ENERGY.. "massless" particles, using it's antiparticle) isn't measurable.. Let's take a time to think about it. How many photons does a particle and a antiparticle annihilation. One ? Two ? Three ? Do you believe there is a "photon" charge that is conserved and we don't know about ? Saying that energy has to be in forms of Particles.. OK. but saying more than that, imply particle are more than there charge and that something more exists IMPLY a conservation law.. and so some type of charges.. so no, I'm definitely NOT buying your apparent "property" thing. I read books, scientific revues on a daily basis, and nowhere I have ever somebody write that energy (Not kinetic energy of course. I speak about MASS/ENERGY) is relative. Matter EXISTS. In opposite you can read ANYWHERE that matter is a form of energy. Have you heard of particle accelerator ? Are the particle emitted not real ? What are they made of ? What did we use to make them ? So I'm really curious to understand why you are all convinced of that. The fact that I apparently have to explain MASS/ENERGY equivalence is really weird.

Sorry, I understand but then : a none particle would probably emit "none-photons" (not ANTI photon which I KNOW are the same as photon) with negative energy (leaving positive kinetic energy) I wonder, is there a symmetry that "reverse" energy ?

Thank you, I let you handle the semantics and the philosophy. I'm free to believe any idea, let it be any part of any model. As often, you seem to have "philosophical" reactions of pain and taboos when I present my "naive understanding of thing" If you know the real solid argument that justify why your model is that way and not another, feel free to explain it to me. Otherwise, you may as well be speaking about religion and dogma to me. It's like saying : "we don't remove the roof of cars. We have cars with roof, they are very successful". That's not an argument. I often ask question here that OBVIOUSLY I can't find in 2 seconds in Wikipedia using Google. I've been asking question a long time, so of course, the ones that still aunt me are not trivial. But for some reason, when I come here, the reaction is "Da ! equation ". Or "read this !" (I read, and it's something else.. like the sea of Feynman) or "let my proove to you that you're a idiot", or "it's like that, because that's the model". And I NEVER HAVE THE ANSWER TO MY QUESTION But here we are talking about REST energy. REST mass. A none particle would probably emit "none-photons" with negative energy (leaving positive kinetic energy)