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| Tags: inertial, mass, rest |
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#1
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Subject: Rest mass or inertial mass?
From: Rest mass of an elementary particle is an intrinsic property of the elementary particle. Ask yourself, if it is intrinsic then why do you refer to it by "rest". If it is intrinsic than it is the same value according to every frame, invariant, and as such with out need of reference to any particular frame. But an accelerator accelerates mass, i.e. inertial mass of an elementary particle. An accelerator accelerates mass which changes with speed. No. The mass is accelerated in accordance with F = mA and does not change with speed. But 4-vectors are unobservable. Nonsense, unobservables(i.e. hidden variables) have no place in modern physics. Only time and space components of 4-vectors are observable. If the components of an entity are observable then you can observe the entity by its components. So, invariant mass is observable only if the 4-vectors are equal to their time components, i.e. at rest. That is not a logical inference following from your previous statement. (invariant, 4-scalar) mass is not additive Right, so? and is not conserved in nuclear reactions. Wrong. The sum of masses is not conserved, but as you just stated the system mass is not additive. The system mass is its center of momentum frame energy or is the length of the system momentum four vector which is conserved. Energy is conserved according to every frame, of course including the center of momentum frame! see last paragraph- http://www.geocities.com/physics_world/stp/pg_248.htm Taylor and Wheeler wrote, {rest mass of final system increases in an inelastic encounter} (p.121 of Spacetime Physics, 1966). See the second edition with corrections- http://www.geocities.com/physics_world/stp/pg_247.htm concerning the inelastic collision-"In all three examples the system momenergy and the system mass are the same before as after." [this topic is getting old so I sniped the rest of the misconceptions] |
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#3
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(WaiteDavid137) wrote in message ...
Subject: Rest mass or inertial mass? From: Rest mass of an elementary particle is an intrinsic property of the elementary particle. Ask yourself, if it is intrinsic then why do you refer to it by "rest". If it is intrinsic than it is the same value according to every frame, invariant, and as such with out need of reference to any particular frame. Radi to Wait 151917 (208) I refer to the intrinsic property by {rest mass} because this property is intrinsic, we do not observe rest mass of a moving object. I refer to it by "rest" because I observe inertial mass. And the observable mass I call {mass}. I use the term {observe} in the same sense as Wheeler uses it at p. 248: (but only as observed in the frame…) But an accelerator accelerates mass, i.e. inertial mass of an elementary particle. An accelerator accelerates mass which changes with speed. No. The mass is accelerated in accordance with F = mA and does not change with speed. You are mistaken. An accelerator acts on a particle by the force f=e(E+vxB) rather than by {F}. The acceleration of the particle is {a} rather than {A}. The inertia of a particle is important when the particle is under acceleration. Are you and Wheeler familiar with concept of inertia? But 4-vectors are unobservable. Nonsense, unobservables(i.e. hidden variables) have no place in modern physics. We do not observe a 4-vectors in the Wheeler sense. We observe space and time components of a 4-vector only. Only time and space components of 4-vectors are observable. If the components of an entity are observable then you can observe the entity by its components. So, invariant mass is observable only if the 4-vectors are equal to their time components, i.e. at rest. That is not a logical inference following from your previous statement. (invariant, 4-scalar) mass is not additive Right, so? and is not conserved in nuclear reactions. Wrong. The sum of masses is not conserved, but as you just stated the system mass is not additive. The system mass is its center of momentum frame energy or is the length of the system momentum four vector which is conserved. Energy is conserved according to every frame, of course including the center of momentum frame! see last paragraph- http://www.geocities.com/physics_world/stp/pg_248.htm Taylor and Wheeler wrote, {rest mass of final system increases in an inelastic encounter} (p.121 of Spacetime Physics, 1966). See the second edition with corrections- http://www.geocities.com/physics_world/stp/pg_247.htm concerning the inelastic collision-"In all three examples the system momenergy and the system mass are the same before as after." [this topic is getting old so I sniped the rest of the misconceptions] Dear Waite, I present a method to learn if mass changes with velocity. Let a ball move in a box. Does its gravitational pull change with its velocity? |
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#4
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Subject: Rest mass or inertial mass?
From: (Radi Khrapko) Date: 8/16/03 10:36 AM US Mountain Standard Time Message-id: (WaiteDavid137) wrote in message ... Subject: Rest mass or inertial mass? From: Rest mass of an elementary particle is an intrinsic property of the elementary particle. Ask yourself, if it is intrinsic then why do you refer to it by "rest". If it is intrinsic than it is the same value according to every frame, invariant, and as such with out need of reference to any particular frame. Radi to Wait 151917 (208) I refer to the intrinsic property by {rest mass} because this property is intrinsic, we do not observe rest mass of a moving object. BS I refer to it by "rest" because I observe inertial mass. You still don't get it. The inertia or the m in F = mA is invariant so there is no need to refer to it with the rest frame in mind. And the observable mass I call {mass}. I use the term {observe} in the same sense as Wheeler uses it at p. No you don't. You misconstrued what he said. But an accelerator accelerates mass, i.e. inertial mass of an elementary particle. An accelerator accelerates mass which changes with speed. No. The mass is accelerated in accordance with F = mA and does not change with speed. You are mistaken. An accelerator acts on a particle by the force f=e(E+vxB) rather than by {F}. No, the electic and magnetic fields are not vectors. They are incomplete parts of the actual field acting. The actual field is the unification of the two into the electromagnetic field tensor. The force an accelerator actually acts on a particle by is then equation 7.1.9 at http://www.geocities.com/zcphysicsms/chap7.htm#BM84 whisch is F, not f. The acceleration of the particle is {a} rather than {A}. No, the acceleration in term of proper time derivatives instead of coordinate time derivatives is A, not a. The inertia of a particle is important when the particle is under acceleration. Are you and Wheeler familiar with concept of inertia? Yes it is the m in F = mA. Apparently you are not. But 4-vectors are unobservable. Nonsense, unobservables(i.e. hidden variables) have no place in modern physics. We do not observe a 4-vectors in the Wheeler sense. Sure we do. You misconstrued what he said. We observe space and time components of a 4-vector only. Fine, then you observe the 4-vector through its components. Only time and space components of 4-vectors are observable. If the components of an entity are observable then you can observe the entity by its components. So, invariant mass is observable only if the 4-vectors are equal to their time components, i.e. at rest. That is not a logical inference following from your previous statement. (invariant, 4-scalar) mass is not additive Right, so? and is not conserved in nuclear reactions. Wrong. The sum of masses is not conserved, but as you just stated the system mass is not additive. The system mass is its center of momentum frame energy or is the length of the system momentum four vector which is conserved. Energy is conserved according to every frame, of course including the center of momentum frame! see last paragraph- http://www.geocities.com/physics_world/stp/pg_248.htm Taylor and Wheeler wrote, {rest mass of final system increases in an inelastic encounter} (p.121 of Spacetime Physics, 1966). See the second edition with corrections- http://www.geocities.com/physics_world/stp/pg_247.htm concerning the inelastic collision-"In all three examples the system momenergy and the system mass are the same before as after." Dear Waite, I present a method to learn if mass changes with velocity. I already told you the answer. It does not. Let a ball move in a box. Does its gravitational pull change with its velocity? In relativity gravity doesn't pull at all. A = 0 is the geodesic equation from F = 0. If you instead asked if a ball has a different spacetime geometry when it is spinning without translation than when it is rolling then the answer would still be no. The spacetime geometry in either case is kerr geometry. g_mu_nu in one case is just a constant velocity transformation of g_mu_nu in the other case, but either way the spacetime it yields is kerr geometry. In highly relativistic scenarios you can not use F = GMm/r^2 at all. Instead you use Einstein's field equation which has T^mu^nu as the source term not m. This tensor is frame covariant. Its "length" does not depend on speed. |
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#5
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Radi to Waite 161408 (157)
Please, confirm that, according to you and to like-minded persons: (1) Inertia of a body equals mass of the body and the mass is mass of the body at rest. (2) A spring-balance does not show force which acts on a body from the spring-balance. (3) Speed of a body does not equal to length divided by time. (4) Acceleration of a body does not equal to the second derivative with respect to time. (5) The electic field is not a vector field. Dear Waite, I had read at the page 248: {How do we find out the mass of a particle? - Weight it! Or determine its gravitational pull.} So, I present a method to learn if mass changes with velocity. Let a ball move in a box. Does its gravitational pull change with its velocity? |
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#6
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Subject: Rest mass or inertial mass?
From: (Radi Khrapko) Date: 8/17/03 9:53 AM US Mountain Standard Time Message-id: Radi to Waite 161408 (157) Please, confirm that, according to you and to like-minded persons: (1) Inertia of a body equals mass of the body and the mass is mass of the body at rest. I already explained this. Go back and read it. (2) A spring-balance does not show force which acts on a body from the spring-balance. I never mentioned any spring balance. But, since you mention one, once in equalibrium it displays the length of the four-vector force. (3) Speed of a body does not equal to length divided by time. I never said that. Four-velocity is length divided by proper time. The "length" of this vector is c. Coordinate velocity is length divided by coordinate time. The magnitude of this pseudovector is the speed. (4) Acceleration of a body does not equal to the second derivative with respect to time. I never said that. In SR four-acceleration is the second derivative of position with respect to proper time. (5) The electic field is not a vector field. E by itself has only 3 components and therefor can not obey tensor transformation. Something is a vector only when it obeys tensor transformation properties. The electormagnetic field is the actual 16 element vector that one has producing the four-force. Dear Waite, I had read at the page 248: {How do we find out the mass of a particle? - Weight it! Or determine its gravitational pull.} So, I present a method to learn if mass changes with velocity. Let a ball move in a box. Does its gravitational pull change with its velocity? I already explained this. Go back and read where I explained why gravity does not pull at all and why the mass of the ball doesn't change in your scenario. By the way, the weight you measure on a scale is not a measure of gravity force down which four-force is zero. It is a measure of the normal force up on the object being weighed. This force produces nonzero four-acceleration. Or "really" what it displays is the equal magnitude reaction force down on the scale. The scale reading is the length of this four-force, not the pull of gravity. Once more, the four-force of gravity is F=0. |
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#7
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(WaiteDavid137) wrote in message ...
Subject: Rest mass or inertial mass? From: (Radi Khrapko) Date: 8/17/03 9:53 AM US Mountain Standard Time Message-id: Radi to Waite 161408 (157) Please, confirm that, according to you and to like-minded persons: (1) Inertia of a body equals mass of the body and the mass is mass of the body at rest. I already explained this. Go back and read it. So, you confirm that inertia of a body equals mass of the body and the mass is mass of the body at rest. (2) A spring-balance does not show force which acts on a body from the spring-balance. I never mentioned any spring balance. But, since you mention one, once in equalibrium it displays the length of the four-vector force. Do you confirm that a spring-balance does not show force which acts on a moving body accelerating by the spring-balance? (3) Speed of a body does not equal to length divided by time. I never said that. Four-velocity is length divided by proper time. The "length" of this vector is c. Coordinate velocity is length divided by coordinate time. The magnitude of this pseudovector is the speed. And what is {velocity} without an adjective? (4) Acceleration of a body does not equal to the second derivative with respect to time. I never said that. In SR four-acceleration is the second derivative of position with respect to proper time. I claimed: The acceleration of the particle is {a} rather than {A}. You wrote: No. So, according to you, {a}, i.e. the second derivative with respect to time is not the acceleration. (5) The electic field is not a vector field. E by itself has only 3 components and therefor can not obey tensor transformation. Something is a vector only when it obeys tensor transformation properties. The electormagnetic field is the actual 16 element vector that one has producing the four-force. So, you confirm that the electic field is not a vector field and the magnetic field is not a phseudovector field. Dear Waite, I had read at the page 248: {How do we find out the mass of a particle? - Weight it! Or determine its gravitational pull.} So, I present a method to learn if mass changes with velocity. Let a ball move in a box. Does its gravitational pull change with its velocity? I already explained this. Go back and read where I explained why gravity does not pull at all and why the mass of the ball doesn't change in your scenario. Do you words mean that Wheeler made a mistake? One can learn how to find out the mass of a body at the page 248. By the way, the weight you measure on a scale is not a measure of gravity force down which four-force is zero. It is a measure of the normal force up on the object being weighed. This force produces nonzero four-acceleration. Or "really" what it displays is the equal magnitude reaction force down on the scale. The scale reading is the length of this four-force, not the pull of gravity. Once more, the four-force of gravity is F=0. Confirm that {normal force without other adjective produces nonzero four-acceleration} Confirm that {the scale reading is the length of four-force}. I think that the scale reading is the modulus of the 3-force. And what about a definition of mass? My opponents write about mass all time. But they do not know what is mass. I asked my opponents, Joe Fischer, Jeff Kimmel, Waite David, Vetwannabel, Tom Roberts, Bilge, to define the mass in the spirit of operationism. I asked for an operation to determine the mass. I have no answer. |
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#8
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Subject: Rest mass or inertial mass?
From: (Radi Khrapko) Date: 8/20/03 11:47 AM US Mountain Standard Time Message-id: (WaiteDavid137) wrote in message ... Subject: Rest mass or inertial mass? From: (Radi Khrapko) Date: 8/17/03 9:53 AM US Mountain Standard Time Message-id: Radi to Waite 161408 (157) Please, confirm that, according to you and to like-minded persons: (1) Inertia of a body equals mass of the body and the mass is mass of the body at rest. I already explained this. Go back and read it. So, you confirm that inertia of a body equals mass of the body and the mass is mass of the body at rest. And the mass m of the body, the inertia term in F = mA is also the mass of the body moving. It is invariant. (2) A spring-balance does not show force which acts on a body from the spring-balance. I never mentioned any spring balance. But, since you mention one, once in equalibrium it displays the length of the four-vector force. Do you confirm that a spring-balance does not show force which acts on a moving body accelerating by the spring-balance? Since when is a spring balance of any use at all at relativistic speeds with respect to the test mass? Good luck keeping such a scale in one piece. All I am saying is that they are designed in such a way that they display the length of the four-force when in equalibrium with the test mass. |F| = (-g_mu_nuF^muF^nu)^(1/2) Lengths of four-vectors are invariant. This value is independant of frame. (3) Speed of a body does not equal to length divided by time. I never said that. Four-velocity is length divided by proper time. The "length" of this vector is c. Coordinate velocity is length divided by coordinate time. The magnitude of this pseudovector is the speed. And what is {velocity} without an adjective? In modern relativity when the context does not make it clear one should always use an adjective. (4) Acceleration of a body does not equal to the second derivative with respect to time. I never said that. In SR four-acceleration is the second derivative of position with respect to proper time. I claimed: The acceleration of the particle is {a} rather than {A}. You wrote: No. So, according to you, {a}, i.e. the second derivative with respect to time is not the acceleration. No, You sniped what I actually said. (5) The electic field is not a vector field. E by itself has only 3 components and therefor can not obey tensor transformation. Something is a vector only when it obeys tensor transformation properties. The electormagnetic field is the actual 16 element vector that one has producing the four-force. So, you confirm that the electic field is not a vector field and the magnetic field is not a phseudovector field. No. I said the electric field and the magnetic field are not vectors, that they are pseudovectors. I said that the electromagnetic field F^mu^nu is the actual vector. Dear Waite, I had read at the page 248: {How do we find out the mass of a particle? - Weight it! Or determine its gravitational pull.} So, I present a method to learn if mass changes with velocity. Let a ball move in a box. Does its gravitational pull change with its velocity? I already explained this. Go back and read where I explained why gravity does not pull at all and why the mass of the ball doesn't change in your scenario. Do you words mean that Wheeler made a mistake? He either made a mistake or you misconstrued what he said. By the way, the weight you measure on a scale is not a measure of gravity force down which four-force is zero. It is a measure of the normal force up on the object being weighed. This force produces nonzero four-acceleration. Or "really" what it displays is the equal magnitude reaction force down on the scale. The scale reading is the length of this four-force, not the pull of gravity. Once more, the four-force of gravity is F=0. Confirm that {normal force without other adjective produces nonzero four-acceleration} Fine, but next time do your own homework. The force of gravity is Fg = 0. The normal force is Fn = DP/dtau Fn=dP^lamda/dtau+G^lambda_mu_nuU^muP^nu dP^lamda/dtau = 0 Fn^lamda = G^lambda_mu_nuU^muP^nu U^i and P^i are 0. Fn^lambda = G^lambda_0_0U^0P^0 G^lambda_0_0 = (1/2)g^lambda^rho(g_0_rho,0 +g_0_rho,0 - g_0_0,rho) Consider Schwarzschild geometryThe only nonzero contribution is G^r_0_0 = (1/2)g^r^r(- g_0_0,r) So Fn^r =(1/2)g^r^r(- g_0_0,r)U^0P^0 P^0 = mU^0 = mcdt/dtau = mc(1 - 2GM/rc^2)^(-1/2) g^r^r = - (1 - 2GM/rc^2) g_0_0,r = 2GM/r^2c^2 Fn^r = - (1/2)(1 - 2GM/rc^2)(-2GM/r^2c^2)mc^2(1 - 2GM/rc^2)^(-1) Fn^r = GMm/r^2 This normal force produces a four acceleration according to F = mA so, A = F/m A^r = GM/r^2 Confirm that {the scale reading is the length of four-force}. I think that the scale reading is the modulus of the 3-force. Next time do your own homework |F| = (-g_mu_nuF^muF^nu)^(1/2) According to the scale frame this is |F| = (-eta_mu_nuf^muf^nu)^(1/2) But this yields |F| = |f| so yes it is also the scale frame modulus of the 3 force, but since the length of a four-vector is invariant it is also the length of F according to every frame. And what about a definition of mass? I already gave it to you. |
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#9
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And what about a definition of mass?
I already gave it to you. Radi to Waite 201418 Dear Waite, I have read all you wrote, and I cut our texts to shorten our messages. Please, repeat your definition of mass. Do you agree with the Wheeler definition: To find out the mass of a particle one must weight it! Or determine its gravitational pull? And, please, explain what occurs when a constant force accelerates a body: is the accelerate constant? is the velocity constant? |
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#10
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Subject: Rest mass or inertial mass?
From: (Radi Khrapko) Date: 8/21/2003 2:34 PM US Mountain Standard Time Message-id: And what about a definition of mass? I already gave it to you. Radi to Waite 201418 Dear Waite, I have read all you wrote, and I cut our texts to shorten our messages. Please, repeat your definition of mass. See- http://www.geocities.com/zcphysicsms/chap3.htm pay psrticular attention to the paragraphs immediately after equation 3.1.5 Do you agree with the Wheeler definition: To find out the mass of a particle one must weight it! Or determine its gravitational pull? No, but I doubt that is precisely what he said. And, please, explain what occurs when a constant force accelerates a body: is the accelerate constant? is the velocity constant? When a constant force F acts on a body the acceleration A is constant, but due to time dilation as relating the time differentials of the two the coordinate acceleration "a" is not. Why in the world would you ask if the velocity is constant? Of course not. |
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