AJAY SHARMA
04-October-2006, 03:55 PM
Is Einstein’s E=mc2, CONCEPTUALLY applicable for energy emitted Chemical Reactions.
Before applying any equation in any phenomena, we have to see the conditions and assumptions under which EQAUTION IS derived. What have been the CONDITIONS and ASSUMPTIONS of derivation of an equation? It is very important, to know these, before applying the equation. For example Hook’s law is only obeyed within elastic limits and Ohm’s Law is applicable under certain conditions.
Part I
Origin of E=mc2 in Einstein’s Sep 27 1905 paper
A.Einstein, Annalen der Physik 18 (1905) 639-641.
. DOES THE INERTIA OF A BODY DEPEND
UPON ITS ENERGY-CONTENT?
Weblink is
Einstein’s 27 Sep 1905 paper available at http://www.fourmilab.ch/etexts/einstein/E_mc2/www/
What Einstein did in the paper
Einstein considered a body at rest emitting light energy. Einstein measured the magnitude of light energy in a moving system. And then he derived a relation between ENERGY EMITTED (L) and DECREASE IN MASS (Δm) of body.
The basic equation Einstein used is
ℓ* = ℓ{1 – v cos φ/c } /√[1 – v2 /c2] (1)
ℓ* is light energy measured in moving in frame and ℓ is energy measured in rest frame. Einstein has given eq.(1) in his June 1905 paper, known as Special Theory of Relativity and called eq.(1) as Doppler principle for any velocities whatever. Link for paper of Special Theory of Relativity
http://www.fourmilab.ch/etexts/einstein/specrel/www/
Then Einstein did calculations under classical conditions ( v<<c , applied Binomial Theorem) and obtained equation
L = (Mb – Ma )c2 = Δmc2
L = (Mass of body before emission –Mass of energy after emission) c2 = Δmc2 (2)
Conceptually, mathematically, scientifically eq.(2) is meant ONLY for measurements of MASS DECREASE when LIGHT ENERGY is emitted. The reason I that eq.(1) DESCRIBES only Light Energy.
Part II
In this case Einstein SPECULATED, that
‘ whatever is true for Light Energy , is true for every energy’
Thus, Einstein replaced term L (light energy) by term E (every energy) without giving conceptual reasoning thus ,
E = (Mass of body before emission –Mass of energy after emission) c2 = Δmc2
Here E stands for every energy e.g.
(i) sound energy,
(ii) heat energy,
(iii) chemical energy,
(iv) nuclear energy,
(v) magnetic energy,
(vi) electrical energy,
(vii) energy emitted in form of invisible radiations,
(viii) energy emitted in cosmological and astrophysical phenomena
(ix) energies co-existing in various forms etc. etc. etc.
Now Einstein’s this SPECULATION implies that eq.(1) i.e.
ℓ* = ℓ{1 – v cos φ/c } /√[1 – v2 /c2] (1)
is valid for all these energies. BUT EQ.(1) IS DERIVED FOR LIGHT ENERGY ONLY.
Einstein did not mentioned about these reactions at all in his paper .But generalized eq.(2) for all these energies.
PartII
Consider simple chemical reactions i.e. combustion of wood of paper.
(i) Should energy emitted on annihilation of mass, be measured by E=mc2 , when its original form L =mc2 is meant CONCEPTUAL for Light energy .
(ii) Should for all such cases Light Energy Mass inter conversion be derived by specifically by other methods .
Such questions acn be discused.
AJAY SHARMA
Before applying any equation in any phenomena, we have to see the conditions and assumptions under which EQAUTION IS derived. What have been the CONDITIONS and ASSUMPTIONS of derivation of an equation? It is very important, to know these, before applying the equation. For example Hook’s law is only obeyed within elastic limits and Ohm’s Law is applicable under certain conditions.
Part I
Origin of E=mc2 in Einstein’s Sep 27 1905 paper
A.Einstein, Annalen der Physik 18 (1905) 639-641.
. DOES THE INERTIA OF A BODY DEPEND
UPON ITS ENERGY-CONTENT?
Weblink is
Einstein’s 27 Sep 1905 paper available at http://www.fourmilab.ch/etexts/einstein/E_mc2/www/
What Einstein did in the paper
Einstein considered a body at rest emitting light energy. Einstein measured the magnitude of light energy in a moving system. And then he derived a relation between ENERGY EMITTED (L) and DECREASE IN MASS (Δm) of body.
The basic equation Einstein used is
ℓ* = ℓ{1 – v cos φ/c } /√[1 – v2 /c2] (1)
ℓ* is light energy measured in moving in frame and ℓ is energy measured in rest frame. Einstein has given eq.(1) in his June 1905 paper, known as Special Theory of Relativity and called eq.(1) as Doppler principle for any velocities whatever. Link for paper of Special Theory of Relativity
http://www.fourmilab.ch/etexts/einstein/specrel/www/
Then Einstein did calculations under classical conditions ( v<<c , applied Binomial Theorem) and obtained equation
L = (Mb – Ma )c2 = Δmc2
L = (Mass of body before emission –Mass of energy after emission) c2 = Δmc2 (2)
Conceptually, mathematically, scientifically eq.(2) is meant ONLY for measurements of MASS DECREASE when LIGHT ENERGY is emitted. The reason I that eq.(1) DESCRIBES only Light Energy.
Part II
In this case Einstein SPECULATED, that
‘ whatever is true for Light Energy , is true for every energy’
Thus, Einstein replaced term L (light energy) by term E (every energy) without giving conceptual reasoning thus ,
E = (Mass of body before emission –Mass of energy after emission) c2 = Δmc2
Here E stands for every energy e.g.
(i) sound energy,
(ii) heat energy,
(iii) chemical energy,
(iv) nuclear energy,
(v) magnetic energy,
(vi) electrical energy,
(vii) energy emitted in form of invisible radiations,
(viii) energy emitted in cosmological and astrophysical phenomena
(ix) energies co-existing in various forms etc. etc. etc.
Now Einstein’s this SPECULATION implies that eq.(1) i.e.
ℓ* = ℓ{1 – v cos φ/c } /√[1 – v2 /c2] (1)
is valid for all these energies. BUT EQ.(1) IS DERIVED FOR LIGHT ENERGY ONLY.
Einstein did not mentioned about these reactions at all in his paper .But generalized eq.(2) for all these energies.
PartII
Consider simple chemical reactions i.e. combustion of wood of paper.
(i) Should energy emitted on annihilation of mass, be measured by E=mc2 , when its original form L =mc2 is meant CONCEPTUAL for Light energy .
(ii) Should for all such cases Light Energy Mass inter conversion be derived by specifically by other methods .
Such questions acn be discused.
AJAY SHARMA