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Which mathematical equation from Einstein’s Sep 1905 derivation predicts that when Light Energy is e
Which
mathematical equation from Einstein’s Sep 1905 derivation predicts that when Light Energy is emitted , MASS OF BODY INCREASES ?It is inconsistent prediction from Einstein’s derivation of E=mc2.In simple words, it is explained as below.1. What is Einstein’s Sep 1905 paper in few words?.
AJAY SHARMA : In this paper Einstein derived a relationship between Light energy emitted (L) and corresponding decrease in mass (Δm = Mb-Ma ) as
L = ( Mb-Ma)c2 or Mb–Ma = L/c2
From here Einstein speculated E=mc2
Practically, 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.2. Under which conditions Einstein derived this equation L = Δmc2 ?AJAY SHARMA : In Einstein’s derivation , there are four variables i.e. (a) Number of light waves emitted by body (b) Magnitude of energy of light waves(c) Angles at which waves are emitted by body(d) Velocity of measuring system w.r.t. body emitting light energy.Einstein took SPECIAL CONDITIONS to derive L =mc2 and speculated from it E=mc2(a) Einstein took , Just two light waves(b) Energy of light wave is equal (c) Waves are emitted in opposite directions(d) Velocity measuring system w.r.t body is in classical region.
Thus under these conditions Einstein’s derivation is OK. The result isWhen body emits light energy, its mass decreases i.e. L = ( Mb-Ma)c2
It is correct.
3. What about Law of Conservation of momentum?
AJAY SHARMA : After emission of light energy body
(i) May remain at rest.
(ii) May tend to move
(iii) May move apparently or visibly
the law of conservation of momentum is always obeyed. The velocity of recoil can be calculated by applying equation,
Initial Momentum = Final Momentum
The velocity of recoil of gun is determined by this method.Einstein has considered first case ONLY.4. Which is the mathematical equation obtained by Einstein in Sep 1905 paper which predict that
When light energy is emitted, mass decreases?
AJAY SHARMA: The final equation in this regard is
Δm = L /c2
or Ma ( mass of body after emission) = Mb ( mass of body before emission) – L/c2
Thus mass of body decreases when light energy is emitted. Einstein has derived this equation under SPECIAL CONDITIONS by considering two light waves of equal energy( 0.5L each ) , emitted in opposite directions etc. 5. Which is mathematical equation which follows from Einstein’s derivation and implies that
when Light Energy is Emitted mass of body Increases?
AJAY SHARMA There are numerous equations to this fact which follows from Einstein’s Sep 1905 derivation and predict that when
Light Energy is emitted, Mass of Body Increases.
It is contradiction of LAW OF CONSERVATION OF MATTER OR ENERGY.One case is e.g. when body emits TWO LIGHT WAVES of energies 0.501L and 0.499L , emitted in OPPOSITE DIRECTIONS. Thus all conditions are same as that in Einstein’s derivation except magnitude of Light energy (Einstein has taken energy equal to 0.5L each).
Exactly repeating the calculation as done by Einstein in Sep 1905 paper we getΔ m = Mass of body before emission (Mb)–Mass of body after emission (Ma)
= – 0.004L/cv + L/c2 (16)
or Ma = 0.004L/cv – L/c2 + Mb
Thus
Mass of body after emission of light energy (Ma)
= Positive Quantity + Mass of body before emission.
Hence mass Increases, when light energy is emitted.It is not CORRECT prediction FROM Einstein’s derivation.Part II If somebody disagree then one can write to Editor Physics Essays addressing the following issues.
What is Einstein’s Sep 1905 paper?
What are conditions under which it is derived?
What is Planck’s observation regarding it?
Under what conditions experimentally it holds good?
Why Einstein did not generalize the same?
How to generalize it under all conditions?
What is Ajay Sharma’s Interpretation?
How Ajay Sharma’s paper is different from Einstein’s Sep 1905 paper.
How Editors/referees who have published it are WRONG?
How Ajay Sharma’s interpretation is incorrect (if it)?
What are the correct interpretations AND EQAUTIONS?
My paper answers all above questions.
It follows from Einstein’s derivation under legitimate conditions,(in some cases) that
when Light Energy is Emitted , mass of body INCREASES.
It is incorrect deduction from Einstein’s derivation.
References.
References of Einstein’s work
. 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/
PartII
References of Ajay Sharma’s work My work is available atA. Sharma, Physics Essays, 17 (2004) 195-222.”The Origin of Generalized Mass-Energy Equation DE = Ac2 DM; and its applications in General physics and Cosmology”. http://www.burningbrain.org/pdf/ajaysharma_einstein.pdf For detailshttps://www.novapublishers.com/catalo g/product_info.php?cPath=23_48_324&products_id=4554International Conferences It has been accepted for presentation over 55 conferences all over the world 1. Sharma, A. presented in 19th International Conference on the Applications of Accelerators in Research and Industry , 20-25 August , 2006 Fort Worth Texas, USA 5. -------------------------------------- Journals This paper
”The Origin of Generalized Mass-Energy Equation DE = Ac2 DM; and its applications in General physics and Cosmology”.
is published in journal Physics Essays , CANADAwww.physicsessays.com The paper
The past ,present and future of E=mc2 will be published in 2007 Galilean Electrodynamics, Massachusetts, USA. In parts it is published in various others journals.---------------------- Book 100 Years of E=mc2 For details
https://www.novapublishers.com/ca talog/product_info.php?cPath=23_48_324&products_id=4554AjaySharma Email physicsajay@rediffmail.com
Published: October 14, 2006