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Merged Studying Sharma's equation on Linear Field Equations

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Jul 14, 2009
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Ajay Sharma is a teacher of physics, who sprung to fame due to of course, the media. When changing something in physics is considered a big thing, it's usually someone tampering with the master equations of physics history, one most notably for its popularity is the [latex]E=Mc^2[/latex] conservation equation. The equation in this form before Sharma's contribution was already flawed, known to many scientists, that the conservation of energy is best seen as an approximation rather than an equivalance. However, Sharma developed an ingenious way to reconcile the error. His paper can be found here:

http://merlin.fic.uni.lodz.pl/concepts/2006_4/2006_4_351.pdf

Using a conversion factor given as [latex]A[/latex], we use it in his equations to describe the ''feasibility'' or the general extent in which energy and mass are convertible. So it is described for this reason as a dimensionless coefficient, which is quite different from any popular universal constant like [latex]G[/latex]. Upon readin his work, i came across some derivations he had made where the coefficient could be made to express positive and negative solutions due to either a mass increase or an energy decrease. In his equations, he gives:

[latex]\int dE=Ac^2 \int dM[/latex] [1]

from here he defines the initial and final masses, which can be found in the link given, but little time here to go over it. He comes to the conclusion which are by character linear equations as:

[latex]E_f - E_i=Ac^2(M_f - M_i)[/latex] [2]

It is from here, i derive some relationships. His equation funnily looked similar to density equations in a gravitational field i had created some time ago, which gave me the basis to formulate the relationships, which give a very neat, Impulse relationship with density.

We start by assuming that for [latex]v*^2=\pm \sqrt{2gh}[/latex] then we can equate the following linear system:

[latex]Ac^2 (F\Delta x)=Ac^2(\frac{M_f v*^2}{2}- \frac{M_i v^2}{2})[/latex] [3]

can be given the form:

[latex]Ac^2 \Box \phi(\frac{M_f v*^2}{2g}- \frac{M_i v^2}{2g})=Ac^2 (- \frac{1}{2}dMgt^2 \rho)[/latex] [4]

Using Nordstrom notation. The solution inside the brackets are close to that of relating it to the kinetic energy, since the simpler form:

[latex]Ac^2 (F\Delta x)=Ac^2(\frac{M_f v*^2}{2}- \frac{M_i v^2}{2})[/latex] [5]

Actually simplifies to: [latex]Ac^2W=Ac^2 \Delta K_e[/latex]. The relationship between work and kinetic energy within the brackets are now defined in this alteration of using Sharma's Coefficient. More interestingly, is that it is within a gravitational field, a certain distance from the gravitational source. Because energy can be gained or lost, the correct equation to use from now on would be of the form:

[latex]\int dE= \pm Ac^2 \int dM[/latex] [6]

Moving on, equation [5] if found to have the relationship with force given as:

[latex]\pm Ac^2 \int -\frac{1}{2} Mg t^2 \rho=\Box \phi \frac{1}{2}Fdt^2[/latex] [7]

This relationship on the left hand side yields the said relationhip to the impulse and density:

[latex]\Box \phi \frac{1}{2}Fdt^2=\frac{1}{2} \vec{I} \rho (dt)[/latex] [8]

Going back to the origins of equation [3], we have:

[latex]Ac^2(F\Delta x)=Ac^2(\frac{M_fv*^2}{2} - \frac{M_iv^2}{2})[/latex]

In a Hamiltonian of the classical energy-conservation equation, the mass is best to be considered as:

[latex]E=\pm Mc^2[/latex]

In relativity, we have the identity [latex]E^2=M^2+p^2[/latex] and accoring to the rule above, it is better expressed as [latex]E=\pm \sqrt{M^2+p^2}[/latex]. Sharma's equation would make this expressed now as:

[latex]\int dEv^2=Ac^2 \pm \sqrt{\int dM^2 + p^2}[/latex]

which would imply a particle with a vanishingly small amount of mass, i would calculate possibly close to the order of [latex]10^{-50}kg[/latex] to be about right; this is true in a more simpler form:

[latex]E=\sqrt{M^2+p^2(c)}[/latex]

For the negative and postive relationships of matter, the equation [latex]-\int dM^2=Ac^2(\frac{\int dE p}{c^4})[/latex] reduces to

[latex]\int dEv^2= \pm(Ac^2 \sqrt{M^2+p^2})[/latex]
 
In a Hamiltonian of the classical energy-conservation equation, the mass is best to be considered as:

[latex]E=\pm Mc^2[/latex]

No. Only the positive root is valid.

In relativity, we have the identity [latex]E^2=M^2+p^2[/latex] and accoring to the rule above, it is better expressed as [latex]E=\pm \sqrt{M^2+p^2}[/latex].

You dropped factors of c. Why? Those equations are invalid without them, which should be obvious from the fact that the dimensions don't match. And on the second equation, once again, only the positive root is valid.
 
I beg to differ Ziggurat.

The Hamiltonian of E=Mc^2 see's a positive and a negative solution to matter, hence particle-antiparticle pairs. The ''only positive'' solution in your case cannot be correct by the definition of an electron creation, as it leaves behind a hole in spacetime. After its development by Dirac, first pronouncing the hole to be a proton, scientists corrected him, saying it must have the same mass. When the positron was discovered, the hole was proven. There was a positive and a negative solution to E=Mc^2.
 
I beg to differ Ziggurat.

The Hamiltonian of E=Mc^2 see's a positive and a negative solution to matter, hence particle-antiparticle pairs.

No. Both particles and anti-particles have positive energy. That's why they release energy when they annihilate, and why it takes twice the rest mass energy of an electron to create an electron-positron pair. If antiparticles had negative energy, it would take no energy to create pairs, and you would get no energy when pairs annihilated each other. This is an incredibly fundamental mistake you are making.

Furthermore, you haven't explained why you dropped factors of c in those other equations.
 
No. Both particles and anti-particles have positive energy. That's why they release energy when they annihilate, and why it takes twice the rest mass energy of an electron to create an electron-positron pair. If antiparticles had negative energy, it would take no energy to create pairs, and you would get no energy when pairs annihilated each other. This is an incredibly fundamental mistake you are making.

Furthermore, you haven't explained why you dropped factors of c in those other equations.

No, the negative matter refers to holes existing in the vacuum. Look at this: http://en.wikipedia.org/wiki/Dirac_sea

That was just a quick google search you know.

p.s. I have no idea what c factor you are on about, by the way.
 
Ajay Sharma is a teacher of physics, who sprung to fame due to of course, the media.

I've never heard of him; he's never written a mainstream physics paper; I find him in one Times of India article about him in 2004. Can you document that he "sprung to fame"?

The equation in this form before Sharma's contribution was already flawed, known to many scientists, that the conservation of energy is best seen as an approximation rather than an equivalance.

You're aware that the "many scientists" (can you document that, by the way?) do not, apparently, include anyone whatsoever in mainstream physics research? If you were aware of this, why did you choose not to mention it?

We start by assuming that for [latex]v*^2=\pm \sqrt{2gh}[/latex] then we can equate the following linear system:

[latex]Ac^2 (F\Delta x)=Ac^2(\frac{M_f v*^2}{2}- \frac{M_i v^2}{2})[/latex] [3]

can be given the form:

[latex]Ac^2 \Box \phi(\frac{M_f v*^2}{2g}- \frac{M_i v^2}{2g})=Ac^2 (- \frac{1}{2}dMgt^2 \rho)[/latex] [4]

Unintelligible. What are V*, v, h, d, t, M, M_f, M_i? Are you describing some sort of test particle in a gravitational field?
 
(Wait, i think i now realize what you mean by ''factors of c''. That was intentional. If you read what i say, E^2=M^2+p^2 is in relativity, however if it takes the form E^2=M^2+p^2(c) it must have a mass near zero. I never jumped about any factors without explaining their meaning.)
 
No, the negative matter refers to holes existing in the vacuum. Look at this: http://en.wikipedia.org/wiki/Dirac_sea

That was just a quick google search you know.

Sing, Zig does not need Google to know what the Dirac sea is. Call it "negative matter" if you like, but E is still positive. You are mistaken.

p.s. I have no idea what c factor you are on about, by the way.

From E^2 = m^2 c^4 + p^2 c^2. You dropped the "c" from this equation but used it elsewhere.
 
I've never heard of him; he's never written a mainstream physics paper; I find him in one Times of India article about him in 2004. Can you document that he "sprung to fame"?



You're aware that the "many scientists" (can you document that, by the way?) do not, apparently, include anyone whatsoever in mainstream physics research? If you were aware of this, why did you choose not to mention it?



Unintelligible. What are V*, v, h, d, t, M, M_f, M_i? Are you describing some sort of test particle in a gravitational field?


The equations describe a system with a mass in a gravitational field with linear momentum.

And i gave you a link to his published paper. And if you are disputing that the energy-mass equivalance principle is not really approximated rather than equivalated, i would like you to ask someone else. The energy-conversion from matter is never equal, for there are always small errors or differences.
 
Ben, Ziggurat was challenging my math and conclusions were wrong.

Now go away. I showed he was wrong, and now you are defending him. Technically, yes, he is right, but fundamentally with the work, he was wholey wrong.
 
The equations describe a system with a mass in a gravitational field with linear momentum.

In 1-D, I presume? It's a falling point mass?

And i gave you a link to his published paper. And if you are disputing that the energy-mass equivalance principle is not really approximated rather than equivalated, i would like you to ask someone else. The energy-conversion from matter is never equal, for there are always small errors or differences.

Yes, I dispute that. Everyone does. The linked paper is not peer reviewed---this journal is commonly called a "crackpot journal"---and carries no weight with anyone but you and Mr. Sharma. Energy conservation is, in all of mainstream physics, exact, not approximated.
 
When i say M is next to zero, it usually means it would refer to a massless particle with v=c, so E^2=p^2c^2 for massless radiation.

You did not answer the question. You wrote E^2 = M^2 + p^2. What are the units of E, M, and P?
 
Exact? Let's see if i can find anything that goes against this, hold on.

I am sure Google will find all sorts of things from random non-professionals. Let's see what you can (not) find from (a) physics textbooks, (b) peer-reviewed physics articles---try www.slac.stanford.edu/spires/, or (c) mainstream physics education resources like "hyperphysics".

Advice: next time, try to learn whether you are right before you stake yourself to a physics idea.
 
Some google searches i could find. Without looking into them, i think they refer to more or less the quantum mechanical operations i speak of:

Conversion of Energy into Mass Conversion of Energy into Mass. In a NUCLEAR REACTOR, a spontaneous nuclear ... The "missing mass'' appears as the kinetic energy of the reaction products ...
musr.physics.ubc.ca/~jess/hr/skept/EMC2/node9.html - Cached - Similar -
Question-binding energy per atom Text - Physics Forums Library 16 posts
I thought that the "missing mass" energy would amount to MORE than 28.3. ... the "missing mass", which is .025604u, times the mass/energy conversion number, ...
www.physicsforums.com/archive/index.php/t-180965.html - Cached - Similar -
Foundations to Chemistry - adapted from "Chemistry, Matter and the ... A useful conversion is from mass in amu to energy in million electron volts ... Total mass of components: Less mass of He atom: Missing mass of He atom: ...
www.chem.ox.ac.uk/vrchemistry/Conservation/page21.htm - Cached - Similar -
Fusion: Binding Energy This missing mass, called the mass defect, is a measure of the atom's binding energy. ... 931.5 Mev/amu = the conversion factor to convert mass into energy, ...
library.thinkquest.org/17940/...energy/binding_energy.html - Cached - Similar -

It shows that conversion of matter into energy or energy into mass is never really equivalent. There will mostly be an error, making the equatio an approximation at best. I would imagine only on very rare occasions would one expect an absolute equivalance between the fundamental processes.
 

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