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|    sci.physics.relativity    |    The theory of relativity    |    225,861 messages    |
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|    Message 225,303 of 225,861    |
|    Paul B. Andersen to All    |
|    Re: Mass and Energy    |
|    07 Jan 26 22:18:03    |
      From: relativity@paulba.no              Den 06.01.2026 23:27, skrev Thomas 'PointedEars' Lahn:       > Paul.B.Andersen wrote:       >       >> The mass of an objects is invariant,       >       > It is _Lorentz_-invariant, NOT invariant /per se/.       >       >> and so is the energy content of the object.       >       > No.       >       >> The E in the equation E = mc² is invariant,       >       > This pop-cultural equation is *wrong*, as I have pointed out /ad nauseam/.>       >> which means that it is independent of the speed of the object.       >       > /Ex falso quodlibet./       >       >> It makes no sense to call E = mc² "the *rest* energy of       >> _an object_ whose mass is m."       >       > It *does*. That is what it *is*. "Rest energy" is the agreed       > physical/scientific term for that form of energy.              You are right, E₀ = mc² is called the "Rest energy" of       a body with mass m.       It is also called "the invariant energy" of a body with mass m.              Because the energy E₀ = mc² is invariant, the same in all       frames of reference, independent of the speed of the object.              That's why find the name "rest energy" rather misleading.                     Above I was quoted to have said:       "The E in the equation E = mc² is invariant, which means        that it is independent of the speed of the object."              Your response was:       "This pop-cultural equation is *wrong*, as I have pointed out        /ad nauseam/.              Can you explain your response?              -----------------------------------       To give the context of discussion below:              One possible fission process is:              1n + U-235 → Ba-141 + Kr-92 + 3n              The atomic weight of these are:              Left side:       1n 1.008664 u       U-235 235.0439299 u       -------------------        236.0525939 u = 3.919748214E-25 kg              Right side:       Ba-141 140.914412 u       Kr-92 91.926156 u       3n 3.025992 u       ---------------------        235.866560 u = 3.916659047E-25 kg              Lost mass: m = 0.1860339 u = 3.089167695E-28 kg              E = mc² ≈ 2.776404839E-11 J ≈ 174 MeV                     >> Energy before fission:       >> Energy content of mass m₁: E = m₁c² = 3.522894007E-8 J       >>       >> Energy after fission:       >> Energy content of mass m₂: E = m₁c²= 3.520117602E-8 J       >>       >> The difference is ΔE = m₁c² - m₁c² = Δm⋅c² = 2.776404839E-11 J       >>       >> The binding energy holding the nucleons together is       >> part of the energy content of the mass of the U-235 nucleus.       >> When the nucleus is split, the binding energy in the Ba-141       >> and Kr-92 nuclei will be ΔE less. The sum of the kinetic energy       >> of the two nuclei and 3 neutrons will be ΔE = 2.776404839E-11 J       >       > You keep missing the point.              Which point am I missing?              >> I say that the mass Δm lost from the U-235 nucleus is converted       >> to kinetic energy of the two nuclei and 3 neutrons.       >       > Which is simply the wrong idea.       >       > What actually happens here is that rest energy is (partially) converted to       > other forms of energy. This is equivalent to a reduction in mass;              How is this different from what I said?              The "rest energy" of the U-238 nucleus is       E = m₁c² = 3.522894007E-8 J              The part of this energy ΔE = 3.089167695E-28 J       is converted to kinetic energy.              This is equivalent to a reduction in mass Δm = 3.089167695E-28 kg              The energy equivalent of the reduction of the mass       is Δm⋅c² = 2.776404839E-11 J       This energy is converted to kinetic energy.                     --       Paul              https://paulba.no/              --- SoupGate-DOS v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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