rp*****@eas.slu.edu , You have made comments that Momentum is not

Conserved in my PAPER. It is not CORRECT. It is explained in 100 Years

of E=mc2

rp*****@eas.slu.edu Robert Pasken

Department of Earth and AtmosphericSciences

Saint Louis University

3507 Laclede Avenue

St.Louis, MO 63103

See how Momentum is conserved in my paper. All references are given in

the end.

Part I

General meaning , explained in 11th class Physics.

The law of momentum conservation,

* In an isolated system, the momentum of system must be

conserved.*

Mathematically implies that

Initial Momentum = Final Momentum

mu=mv (1)

As mass remains same in classical mechanics.

So u=v

which is Newton’s First law of motion.

Application of momentum conservation.

When body emits energy ( in this cases light energy)

then it recoils .Thus it is used to calculate the velocity of recoil.

It can be applied to following two cases.

------ Light bullet fired from TOY Gun, system remains at rest.

( body does not recoil with noticeable velocity, it tends to

recoil)

The velocity cam be calculated but may be of the order of

1/100000000000000000000000000000000000 m/s or 10-^40m/s

This case resembles with Einstein’s two waves of equal energy emitted

in opposite directions.

-----Shot fired from gun, gun moves backward.

the velocity can be calculated from conservation of momentum i.e.

initial momentum =final momentum

Vrecoil = mv/M ~ 5m/s (say)

Thus after emission of energy BODY MAY REMAIN AT REST OR MOVE, the

Momentum is Conserved. It is basic physics of 11th standard.

If some one does not want to understand this then it his problem.

Einstein did all calculation under Classical conditions of velocity (v

<<c, her v is relative velocity between two systems i.e. system in

which body emits light and second system in which energy is measured.

Part II

The law of conservation of momentum is obeyed in my paper.

https://www.novapublishers.com/catal...oducts_id=4554
When two waves are emitted. The body recoils with velocity v , with

magnitude of the order of 10^-32 m/s i.e.

V (recoil)=1/10000000000000000000000000000000000000000000000000

It can be easily calculated.

When two waves of different energies are emitted. If body emits two

light waves of slightly different energies i.e. 0.5001L and 0.4999L

(Einstein has used light waves of energy 0.5L and 0.5L) in opposite

directions. Now using the law of conservation of momentum, it can be

easily justified that in this case body remains at rest.

Let the body of mass 10kg

emits light energy in two waves in visible region equal to

7.9512×10^-19 J, this energy corresponds to TWO light waves in

visible region having wavelength 5000ºA or energy, 2hc/λ or

7.9512×10^-19 J.

Let towards the observer the body emits light energy 0.5001L i.e.

3.97639512×10^-19 J i.e. will have momentum ( p1 = E/c)

1.32546504×10^-27 m/s.

Secondly, the body emits light wave of energy 0.4999L i.e.

3.97480488×10^-19 J, away from the observer (φ= 180º) i.e. will

have momentum ( p2 = E/c) 1.32493496×10^-27 m/s. Let us assume that

when the body emits light waves of energy and moves (if it actually

does) with velocity Vb , then according to law of conservation of

momentum we get

0 = p1 +p2 +MbVb or Vb = -(p1 +p2) /Mb =

–5.3×10^-32 m/s (2)

0 = p1 +p2 +MbVb or Vb = -(p1 +p2) /Mb =

–5.3×10^-32 m/s (3)

Thus conservation of momentum requires that body should move with

velocity –5.3×10^-32 m/s opposite to observer. Thus body will

tend to move with velocity 5.3×10^-32 m/s ( away from the observer)

which is immeasurably small by all means, hence the body remains at

rest. Due to this uniform relative velocity v of the system (ξ, η, ζ

) will not change, if body moves then v will vary accordingly.

=========Einstein’s Sep 1905 paper===========

The first and basic equation in Einstein’s paper is

l* = l{1 – v/c cos φ } /√[1 – v2 /c2] (1)

In eq.(1) v is the relative velocity between light emitting body and

the measuring system i.e. system (ξ, η, ζ ). If body movesafter

emission with velocity v’ away from the observer, then relative

velocity will be v+v’ (say V). Thus in this case eq.(1) becomes

ℓ* = ℓ{1 – (v+v’) cos φ/c } /√[1 – (v+v’)2 /c2]

(1a)

The rest of the calculations remain the same. Thus Einstein’s

derivation is also valid if the body moves, Einstein has considered the

simplest case when velocity v’ is zero (V= v+v’ =v), which is

special case. Also experimentally the law of inter conversion of mass

energy holds good in all possible cases.

Hence you cannot say that LAW OF CONSERVATION OF MOEMTUM IS NOT TAKEN

IN ACCOUNT IN MY PAPER.

It is your MISPERCEPTION.

AJAY SHARMA 2ND Oct 2006

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 at

A. Sharma, Physics Essays, 17 (2004) 195-222.

”The Origin of Generalized Mass-Energy Equation E = Ac2 M; and

its applications in General physics and Cosmology”.

http://www.burningbrain.org/pdf/ajaysharma_einstein.pdf
For details

https://www.novapublishers.com/catal...oducts_id=4554
International Conferences

It has been accepted for presentation over 55 conferences all over the

world

--------------------------------------few of them

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

2. A. Sharma, Abstract Book 38th European Group of Atomic Systems

(

Euro physics Conference) Isachia (Naples) Italy (2006) 53.

3. A. Sharma , Abstract Book , A Century After Einstein Physics 2005 ,

10-14 April 2005 ( Organizer Institute of Physics , Bristol )

University of Warwick , ENGLAND

4. A. Sharma presented in 5th British gravity Conference , OXFORD

ENGLAND

5. A. Sharma,. Proc. Int. Conf. on Computational Methods in

Sciences and Engineering 2003 World Scientific Co. USA ,

(2003) 585.

6. A. Sharma, Proc. Int. Conf. on Number, Time, Relativity United

Physical Society of Russian Federation, Moscow , (2004) 81

plus more

--------------------------------------

Journals

This paper

”The Origin of Generalized Mass-Energy Equation E = Ac2 M; and

its applications in General physics and Cosmology”.

is published in journal

Physics Essays , CANADA

www.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/catal...oducts_id=4554