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DOES THE INERTIA OF A BODY DEPEND UPON ITS ENERGY-CONTENT? (Sept 1905)RE: "HE WAS ALWAYS A CROOK, A LIAR, A DECEIVER, A PLAGIARIST AND A
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Einstein start this paper with an equation derived on his previous paper
on Electrodynamics (SR). It represents the energy l* of a planar wave of
light with energy l, as PERCEIVED from a reference frame moving at speed
v as:
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l* = l γ (1 - v cos φ)
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where
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γ = (1 - v² /c²)^-1/2
φ; angle of the ray with respect the x-axis.
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He propose to use this equation from his previous paper in the following
way:
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A stationary body in the system K has an energy E0.
The energy of the body perceived in the system k, moving at v speed is
H0.
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The stationary body emit twin beams of light in opposite directions,
each with energy L/2.
The energy of the body in the stationary system K, after the emission of
light, is E1.
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E1 = E0 - L/2 - L/2 = E0 - L
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The energy of the body, as perceived in in the moving system k, after
the emission of light, is H1.
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H1 = H0 - L/2 γ (1 - v cos φ) - L/2 γ (1 +- v cos φ) = H0 - γ L
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Then, Einstein inserts the equation for the difference of the energy
between K and k before and after the emission of the twin beam of light
as:
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H0 - E0 - (H1 - E1) = L (γ - 1)
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Using a McLaurin expansion of γ for (v/c) << 1
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γ = 1 + 1/2 (v/c)² + 3/4 (v/c)⁴ + 15/24 (v/c)⁶ + 105/192 (v/c)⁸ + ..
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and dismissing terms higher than the quadratic one, the difference of
energies between K and k is set as
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H0 - E0 - (H1 - E1) = L (γ - 1) ≈ 1/2 (L/c)² v²
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As the approximation 1/2 (L/c²) v² RESEMBLES the equation of kinetic
energy IF (L/c²) is taken as MASS (inertia), Einstein jumped to the
conclusion:
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"If a body gives off the energy L in the form of radiation, its MASS
diminishes
by L/c². The fact that the energy withdrawn from the body becomes energy
of
radiation evidently makes no difference, so that we are led to the more
general
conclusion that
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The MASS of a body is a measure of its energy-content; if the energy
changes
by L, the mass changes in the same sense by L/9 × 1020, the energy being
measured in ergs, and the mass in grammes.
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It is not impossible that with bodies whose energy-content is variable
to a
high degree (e.g. with radium salts) the theory may be successfully put
to the test.
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If the theory corresponds to the facts, radiation conveys inertia
between the
emitting and absorbing bodies."
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This conclusion has been criticized by all, starting with Planck in
1907. He concluded that this is a fallacy
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based on a circular argument (petitio principii), because it starts by
asserting what he wanted to prove.
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The most striking FRAUD is that he didn't prove that the mass of the
object APPARENTLY diminished by (L/c²).
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The only thing that he asserted at the beginning of the mini-paper is
that the energy of the object changed by L, after the emission of the
twin beams of light:
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E1 = E0 - L/2 - L/2 = E0 - L
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Here is the CIRCULAR ARGUMENT (fallacy, lie, fraudulent manipulation):
He started by ASSUMING that there is a relationship between mass and
energy on the object as a starting point. He never used, until the end
of the paper, that the body has a given mass M+ L/c² in the state E0,
and that bit of mass was lost as energy.
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Einstein tried to fix this paper SIX TIMES, giving up in 1942.
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HE WAS ALWAYS A CROOK, A LIAR, A DECEIVER, A PLAGIARIST AND A THIEF.
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Yet, generations of imbeciles did join the CULT OF THIS PSEUDOSCIENCE.
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BTW: That E = mc² WAS NEVER, EVER theoretically proven. Not by von Laue
in 1911 or by Klein in 1919. And even less for the wide range of v
speeds between 0 and c.
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As I said for years, E = mc² WAS ADOPTED AS A CONVENIENT RELATIONSHIP to
simplify operations in physics and chemistry (and generally adopted in
other MINOR branches).
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