> >>>>>http://www.pbase.com/image/56576617
> >>>>>
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> different way to formulate it that works just as well in a
> Gallilean universe.
Let's talk about E=mc^2 first as it is more obvious. Can you
have E=mc^2 without SR? Let me elaborate. SR says that
as you increase speed of a particle near c, its
relativistic mass increase. This made Einstein conclude
that energy is interchangeable to mass and vice versa.
When the radium was seen to increase energy
in seeming contradiction of the law of conservation
of energy. Planck realized that Einstein e=mc^2 is
literal and was so excited. Now supposed in a universe
where SR doesn't occur and relativistic mass doesn't
occur at relativistic speed, the rules of physics is such
that mass can't be converted to energy. What do you think?
Bishop
QCD Apprentice - 28 Feb 2006 01:45 GMT
>>>>>>>http://www.pbase.com/image/56576617
>>>>>>>
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> occur at relativistic speed, the rules of physics is such
> that mass can't be converted to energy. What do you think?
Okay, first lets not talk about "relativistic mass". It's
kindof a misnomer, oldfashioned, and invariably causes
confusion at some point.
Instead, let's talk about the relation E^2 = m^2 + p^2,
using units where c = 1.
This implies then that E^2 - p^2 = m^2
If we then regard the vector (E,px,py,pz), then it's
magnitude is E^2 - p^2 = m^2.
What does this mean though?
Well it means that you can take a bunch of individual
particles that are massless, like photons, and the *system*
of particles has a mass. For example, photon A with
momentum (20Gev,20Gev,0,0) and photon B with
(20GeV,-20GeV,0,0) then the *system* has mass 40GeV.
Okay, so why go through all this? Well, because it lends
itself quite nicely to the idea of bound states have a
different mass than the sum of the individual particles. So
if the mass of a bound state is *greater* than the sum of
the masses of the individual particles, then you can break
the bound state and convert the "mass" into energy. That's
what nuclear fission does. The sums of masses of the
resultants is less than the nucleus as a whole.
Now, there might be a way to explain binding energy and its
connection to mass without using SR, but you can see that it
fits quite naturally with the framework of special relativity.
Bill Hobba - 28 Feb 2006 03:04 GMT
>> >>>>>http://www.pbase.com/image/56576617
>> >>>>>
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> as you increase speed of a particle near c, its
> relativistic mass increase.
Strictly speaking true but the issue is subtle and can lead to confusion -
see the FAQ
http://math.ucr.edu/home/baez/physics/
In particular study
http://math.ucr.edu/home/baez/physics/Relativity/SR/mass.html
'Of the two, the definition of invariant mass is much preferred over the
definition of relativistic mass. These days, when physicists talk about
mass in their research, they always mean invariant mass. The symbol m for
invariant mass is used without the subscript 0. Although the idea of
relativistic mass is not wrong, it often leads to confusion, and is less
useful in advanced applications such as quantum field theory and general
relativity. Using the word "mass" unqualified to mean relativistic mass is
wrong because the word on its own will usually be taken to mean invariant
mass. For example, when physicists quote a value for "the mass of the
electron" they mean its invariant mass.'
> This made Einstein conclude
> that energy is interchangeable to mass and vice versa.
I doubt Einstein concluded that. But if you can provide a reference then I
will be will to look at it.
> When the radium was seen to increase energy
> in seeming contradiction of the law of conservation
> of energy. Planck realized that Einstein e=mc^2 is
> literal and was so excited.
Sure rest mass is a form of energy - but that is not what you said which was
'energy is interchangeable to mass and vice versa.'. Learn precision in
what you say.
> Now supposed in a universe
> where SR doesn't occur and relativistic mass doesn't
> occur at relativistic speed, the rules of physics is such
> that mass can't be converted to energy. What do you think?
I think you should learn more actual physics and parrot less populist
writings.
Bill
> Bishop