Re: New version of a relativity FAQ
- From: "Ken S. Tucker" <dynamics@xxxxxxxxxxxx>
- Date: Fri, 27 Jun 2008 14:13:52 -0700 (PDT)
On Jun 27, 5:46 am, "Ken S. Tucker" <dynam...@xxxxxxxxxxxx> wrote:
Hi Harald
On Jun 27, 3:44 am, "harry" <harald.vanlintelButNotT...@xxxxxxx>
wrote:
"Ken S. Tucker" <dynam...@xxxxxxxxxxxx> wrote in messagenews:78826dec-2dbd-4738-ae8d-75e42fc5e3c9@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Hi Harald.
I was up until dawn writing software to study
elliptical orbits, it's addictive for me, so
I'm a bit zonked, but in a good way.
On Jun 25, 4:50 am, "harry" <harald.vanlintelButNotT...@xxxxxxx>
wrote:
"Ken S. Tucker" <dynam...@xxxxxxxxxxxx> wrote in
messagenews:033d6c0e-7688-4216-905e-806753059417@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
The problem with the arguments in this thread
regarding mass definitions is they are based
on SR + Newton, i.e. 1915, as Mr. Koks appears
to be, which are obsolete from the start.
Not clear what you mean. I was taught physics many decades later (in the
1980's), and most examples used relativistic mass as used in the field of
particle physics. Obviously it worked very well and it wasn't obsolete at
all. ;-)
True, provided one understands how to use
the formula in particle physics, as here,
http://physics.trak4.com/MST_PlancksConstant.pdf
As I pointed out, the same mass definitions
needs to work for GR, Energy, QT and EM.
Actually that is rather straightforward using
the post 1983 definition of the meter,
http://physics.trak4.com/MST_Mass-Definition.pdf
I think Robert's mentioned counting substance
as a mass definition, well that's "not even
wrong", as that just shifts the problem to
Mass = number x (a smaller mass)...duh...
1 Kg = 1000 gms, and is equivalent to saying
1 gm = (big number)*(mass of a Si atom), that
may be an improvement, but it does not mean
anything, because it does not relate to our
definition of time, so next thing is defining
the mass of a Si atom, so that's circles back
to the original problem.
I'd like to also clarify,
Rest mass =/= invariant mass,
in fact
invariant mass = relativistic mass.
Oh yes indeed! But you would likely need to elaborate - it's only true
one-way.
Let mass_0 = rest mass in FoR K and
mass'_0 = rest mass in FoR K'
then the invariant is,
mass_0/sqrt(1-v^2)= mass'_0/sqrt(1-v'^2),
"... I don't think that that is what people mean with "invariant
mass"..."
"mean <=> people" oh well...
Let CS's K and K' have relative speed 0.8c.
Arbituarily choose K to be a rest, therefore
gamma=1 and gamma' = 10/6 then let
mass_0 = 100 gm = 100 gm' * 10/6
or, restated, a rest mass of 600 gm
measured relatively to K, is measured to
be 1000 gm' relatively to K' who is moving
at 0.8c relative to K, so that
600 gm = 1000 gm'
such that the 600 gm in K has an inertia
(due to kinetic energy) of 1000 gm' in K'
when K' uses his gm'.
which is true in ALL relating FoR's, and
is what people usually call relativistic
mass.
A straightforward example is temperature increase.
I'll work temperature increase, but that
involves the addition of quantized energy
in order to increment the temperature or
if you choose to define temperature in terms
of kinetic energy then the relation of
accelerating FoR's to change the relative
kinetic energy...either is fine with me.
With temperature increase the kinetic energies of the molecules inside a
body "in rest" increase, so that also the relativistic masses of those
molecules increase as well as the total mass - no matter if you call the
total mass "rest mass", "invariant mass" or "relativistic mass". But
apparently you did NOT mean that.
You're adding energy/time and therefore inertia
into a box, and as it heats up it gets heavier.
Energy/time is power, and your scenerio has a
constant power input, so that goes over to the
Unified Quantum Gravitational Field Theory here,http://physics.trak4.com/MST_UFT.pdf
because power is quantized, (Watts to photons).
Check out the marshmellow gedanken in that link.
(Hi & Lois are my favorites).
You'll see an incremental change in the metric
g00, denoted Dg00 = - DW00 where W00 is power.
You can test that by shooting a ballistic
projectile upward. As it increases in altitude
the g00 =>1 from g00<1, but the projectile
deaccelerates and thus loses power, (W00), as
g00 increases.
Hi Harald.
Consider this gedanken...
I have a balance beam with a mass on one
side and a flywheel on the other side.
Adding energy to the flywheel will spin-up it up,
faster and faster at a rate proportional to the
power input, so the balance beam will deflect
at a rate proportional to power with a total
defection proportional to the energy added.
In that gedanken I've replaced your "temperature"
increase with power delivered to a flywheel, it
looks the same to me.
Thanks Harald.
I'll stress the need to keep Plancks's "h"
(ergs*seconds) invariant and two, be able
to insure EM is in accord with your chosen
definition of energy, and three make it
Generally Covariant, that's what I figure,
but I'm a physics hoar, and will do anything
to get the solution.
Ken S. Tucker
Thanks for the warning! ;-)
Harald
LOL, in this case, Modern SpaceTime really
seems to work, but I'm open to suggestions.
Regards
Ken S. Tucker
.
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- New version of a relativity FAQ
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- Re: New version of a relativity FAQ
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- Re: New version of a relativity FAQ
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- Re: New version of a relativity FAQ
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- Re: New version of a relativity FAQ
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