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| Tags: classical, modified, physics, postulates |
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#1
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POSTULATES OF A MODIFIED CLASSICAL PHYSICS
Inertia law: Mass is a scalar velocity field: Scalar form: m(v) = m0 + int(0,v) (dm/dv) . dv Vector form: m(v) = m0 + intP(0,v) grad_v(m) . dv 1st Law of Motion: The momentum of a body remains invariant unless otherwise acted on by a Force. Scalar form: p = m(v) v Vector form: p = m(v) v 2nd Law of Motion: Force is the 1st time derivative of momentum. Scalar form: F = (m + v dm/dv) a Vector form: F = (m + v . grad_v(m))a 3rd Law of motion: Interacting bodies conserve net momentum through equal and opposing Forces. |
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#2
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"John Schoenfeld" wrote in message m... POSTULATES OF A MODIFIED CLASSICAL PHYSICS Inertia law: Mass is a scalar velocity field: Scalar form: m(v) = m0 + int(0,v) (dm/dv) . dv Vector form: m(v) = m0 + intP(0,v) grad_v(m) . dv You are an idiot... why continue to prove it? |
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#3
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John Schoenfeld wrote:
POSTULATES OF A MODIFIED CLASSICAL PHYSICS Inertia law: Mass is a scalar velocity field: Scalar form: m(v) = m0 + int(0,v) (dm/dv) . dv Vector form: m(v) = m0 + intP(0,v) grad_v(m) . dv 1st Law of Motion: The momentum of a body remains invariant unless otherwise acted on by a Force. Scalar form: p = m(v) v Vector form: p = m(v) v 2nd Law of Motion: Force is the 1st time derivative of momentum. Scalar form: F = (m + v dm/dv) a Vector form: F = (m + v . grad_v(m))a 3rd Law of motion: Interacting bodies conserve net momentum through equal and opposing Forces. Schoenfeld, this is stupid stuff: You eat your victuals fast enough. Some References http://scienceworld.wolfram.com/phys...SecondLaw.html http://scienceworld.wolfram.com/physics/Force.html http://scienceworld.wolfram.com/phys...onalForce.html http://scienceworld.wolfram.com/phys...sticGamma.html |
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#4
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"John Schoenfeld" wrote in message m... POSTULATES OF A MODIFIED CLASSICAL PHYSICS Inertia law: Mass is a scalar velocity field: Scalar form: m(v) = m0 + int(0,v) (dm/dv) . dv That is brand new. Why did you change your old approach? Vector form: m(v) = m0 + intP(0,v) grad_v(m) . dv So which one are we supposed to choose, vector or scalar? 1st Law of Motion: The momentum of a body remains invariant I think you mean constant. Invariant has to do with the behaviour of a quantity when changing frames of reference. unless otherwise acted on by a Force. Scalar form: p = m(v) v That is not an expression for a force Vector form: p = m(v) v That, also, is not an expression for a force And a force is *always* a vector. 2nd Law of Motion: Force is the 1st time derivative of momentum. Scalar form: F = (m + v dm/dv) a There is no such thing as a scalar force. Vector form: F = (m + v . grad_v(m))a These equations disagree with the definitions you gave higher up for force, where you called it "p" for some unknown reason. 3rd Law of motion: Interacting bodies conserve net momentum through equal and opposing Forces. That is not a law of motion. It is deducible from the 3rd law of motion. (I hasten to say that I refer to Newton's 3rd law, not your crap.) Franz |
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#5
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John Schoenfeld wrote:
POSTULATES OF A MODIFIED CLASSICAL PHYSICS 1) YOU ARE AN IDIOT. 2) LEARN HOW TO USE YOUR SHFIT KEY. 3) You are an idiot. -- Uncle Al http://www.mazepath.com/uncleal/qz.pdf http://www.mazepath.com/uncleal/eotvos.htm (Do something naughty to physics) |
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#6
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In article ,
John Schoenfeld wrote: POSTULATES OF A MODIFIED CLASSICAL PHYSICS Inertia law: Mass is a scalar velocity field: Scalar form: m(v) = m0 + int(0,v) (dm/dv) . dv Vector form: m(v) = m0 + intP(0,v) grad_v(m) . dv 1st Law of Motion: The momentum of a body remains invariant unless otherwise acted on by a Force. Scalar form: p = m(v) v Vector form: p = m(v) v 2nd Law of Motion: Force is the 1st time derivative of momentum. Scalar form: F = (m + v dm/dv) a Vector form: F = (m + v . grad_v(m))a 3rd Law of motion: Interacting bodies conserve net momentum through equal and opposing Forces. How are these modified postulates? They look like Newton's postulates to me, except you've specialized them to a mass that varies with velocity in an unspecified way (what's dm/dv?). It's still p=mv, F=dp/dt, and conservation of momentum. -- "In any case, don't stress too much--cortisol inhibits muscular hypertrophy. " -- Eric Dodd |
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#7
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"Franz Heymann" wrote in message ...
"John Schoenfeld" wrote in message m... POSTULATES OF A MODIFIED CLASSICAL PHYSICS Inertia law: Mass is a scalar velocity field: Scalar form: m(v) = m0 + int(0,v) (dm/dv) . dv That is brand new. Why did you change your old approach? Wrong. It's a direct consequence from the fundamental theoreom of calculus. m(v) - m(u) = int(0,v) (dm/dv).dv in vector form: m(v) - m(u) intP(u,v) grad_v(m).dv Vector form: m(v) = m0 + intP(0,v) grad_v(m) . dv So which one are we supposed to choose, vector or scalar? Newton's Laws can be expressed in Scalar form or Vector form, what's your problem with what i have posted above? 1st Law of Motion: The momentum of a body remains invariant I think you mean constant. Invariant has to do with the behaviour of a quantity when changing frames of reference. In my opinion, they are invariant and constant are equal. unless otherwise acted on by a Force. Scalar form: p = m(v) v That is not an expression for a force That's right, it's the expression for momentum. Vector form: p = m(v) v That, also, is not an expression for a force That's right, it's the expression for momentum. And a force is *always* a vector. For a lot of problems, Force can be treated as a scalar - |F|. 2nd Law of Motion: Force is the 1st time derivative of momentum. Scalar form: F = (m + v dm/dv) a There is no such thing as a scalar force. Wrong. It's just the length of the Force vector, and v the length of the velocity vector, which are scalars. Vector form: F = (m + v . grad_v(m))a These equations disagree with the definitions you gave higher up for force, where you called it "p" for some unknown reason. That was a disastrous typo that I made. The "Vector" form is: F = m(v) a + v(grad_v(m) . a) Proof: p = m(v) v dp/dt = m(v) dv/dt + v(grad_v(m) . dv/dt) 3rd Law of motion: Interacting bodies conserve net momentum through equal and opposing Forces. That is not a law of motion. It is deducible from the 3rd law of motion. (I hasten to say that I refer to Newton's 3rd law, not your crap.) It is Newtons 3rd law. |
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#8
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"Michael Varney" wrote in message ...
"John Schoenfeld" wrote in message m... POSTULATES OF A MODIFIED CLASSICAL PHYSICS Inertia law: Mass is a scalar velocity field: Scalar form: m(v) = m0 + int(0,v) (dm/dv) . dv Vector form: m(v) = m0 + intP(0,v) grad_v(m) . dv You are an idiot... why continue to prove it? It doesn't surprise me that you don't understand path integrals. |
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#9
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"John Schoenfeld" wrote in message om... "Franz Heymann" wrote in message ... "John Schoenfeld" wrote in message m... POSTULATES OF A MODIFIED CLASSICAL PHYSICS Inertia law: Mass is a scalar velocity field: Scalar form: m(v) = m0 + int(0,v) (dm/dv) . dv That is brand new. Why did you change your old approach? Wrong. It's a direct consequence from the fundamental theoreom of calculus. m(v) - m(u) = int(0,v) (dm/dv).dv in vector form: m(v) - m(u) intP(u,v) grad_v(m).dv Vector form: m(v) = m0 + intP(0,v) grad_v(m) . dv So which one are we supposed to choose, vector or scalar? Newton's Laws can be expressed in Scalar form or Vector form, what's your problem with what i have posted above? My problem is that Newton's Laws refer only to the vector quantities acceleration, force, momentum, etc. 1st Law of Motion: The momentum of a body remains invariant I think you mean constant. Invariant has to do with the behaviour of a quantity when changing frames of reference. In my opinion, they are invariant and constant are equal. No.. Before you came on the scene, the word "invariant had acquired a quite specific usage. *Not* to be confused with "constant". You are, of course, welcome to use exisging terms with meanings privatew to you, but I would not advise it if you are trying to convince folk that you are not just cheering from the side lines. unless otherwise acted on by a Force. Scalar form: p = m(v) v That is not an expression for a force That's right, it's the expression for momentum.You said it was an expression for force. Reread what you said. Vector form: p = m(v) v That, also, is not an expression for a force That's right, it's the expression for momentum. That's not what you said. And a force is *always* a vector. For a lot of problems, Force can be treated as a scalar - |F|. |F| is the magnitude of the froce vector F. Force is *always* a vector. 2nd Law of Motion: Force is the 1st time derivative of momentum. Scalar form: F = (m + v dm/dv) a There is no such thing as a scalar force. Wrong. It's just the length of the Force vector, and v the length of the velocity vector, which are scalars. In that case you are still wrong, because the acceleration is a vector. You should learn to express yourself clearly, correctly and unambiguously. Vector form: F = (m + v . grad_v(m))a These equations disagree with the definitions you gave higher up for force, where you called it "p" for some unknown reason. That was a disastrous typo that I made. The "Vector" form is: F = m(v) a + v(grad_v(m) . a) Proof: p = m(v) v dp/dt = m(v) dv/dt + v(grad_v(m) . dv/dt) Why not just keep it simple, and just say dp/dt = m dv/dt + v dm/dt ? 3rd Law of motion: Interacting bodies conserve net momentum through equal and opposing Forces. That is not a law of motion. It is deducible from the 3rd law of motion. (I hasten to say that I refer to Newton's 3rd law, not your crap.) It is Newtons 3rd law. No. At the stage at which newton's laws are initially presented, momentum has not yet been defined. Newton's 3rd law says "An action is always opposed by an equal and opposite reaction" There is no mention of momentum conservation there. The latter is derived a page or two later, after "momentum" has been defined". I do most sincerely hope that you are not just aiming to give us a repeat performance of the crap you posted earlier. Franz |
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#10
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