Re: GR ?


"Bill Hobba" <bhobba@xxxxxxxxxxxxxx> wrote in message
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| >
| > | > Secondly it refers to a mathematical theorem proving a physical
| reality.
| > |
| > | So? Do you deny Pythagoras's theroem proves something about physical
| > | reality or are surveyors deluding themselves?
| >
| > No they are working in a local context were space and time
| > curvature\distortion are not usually significant to their measurements
and
| > the physical reality ~proves the theorem not the other way about. Come
| down
| > off cloud 72435 {:-)
| >
| > Are you by any chance claiming that Pythagoros holds true under GR ?
|
| I am claiming something that is totally obvious except to the cranks that
| post here. A mathematical theory contains logical deductions called
| theorems. If the theory is found by experiment to be true to high
accuracy
| then the theorem is true to high accuracy - which is the reason surveyors
| use Pythagoras's theorem and energy can be defined using Noethers theorem.

That is avoiding the question Bill.{:-)

|
| >
| > Is this is how you justify using a lagrangeian and its derivatives as
some
| > sort of definition in GR ?
| >
|
| Learn some basics - theories are not definitions - they often contain
| definitions - but they are not definitions.

Again avoiding the question ' some sort of defintion in GR' try again Bill
{:-)

|
| >
| > |
| > | > Thirdly I have no idea what time symmetry in that context means so
| could
| > | you
| > | > explain what this means to you ?
| > |
| > | Now we are getting somewhere.
| >
| > On your ground you think Bill. {:-)
|
| On the grounds of those who have some intelligence that may be reading
this
| stuff.
|
| >
| > | It refers to symmetries in a systems
| > | lagrangeian. If you do not know what a lagrangeian is check out
| > | http://alamos.math.arizona.edu/~rychlik/557-dir/mechanics/
| >
| > Yes I had a little understanding of L but felt it might not be
applicable
| in
| > a modern electric field statement which I was trying to construct using
| ~GR
| > as a component. The main
| > reasons being that it contained no terms for the adjustment of energy as
a
| > function of time and distance.
|
| Quite evading - the above has nothing to do with the definition of energy.
|
| >
| > You perhaps think that this is not a dependency ?

Again not answered.

| >
| > The other being that its conceptualisation may have predated the most
| > primitive understanding of electricity.
| > Yes I know that J.L.L. (1736-1813) was a peer of C.de C (1785) but they
| > were early days and I have some trouble with C.de C. That was >200 years
| ago
| > and I hope we might have moved on a little.
| > I don't dispute the use of lagrangeians for some applications but as a
| tool
| > to explain the fundamentals of nature I feel it may be a bit worn out.
| This
| > is just one of the reasons I feel that GR might need a little update
(but
| > I'm not sure and that is why I'm trying to put it into conceptual terms
| that
| > are modern and adjustable, see original posting and header?
| > Justify the inclusion of a lagrangein in a definition of GR up to and
| > including c and mass up to event horizon otherwise I must conclude that
| > your definition was nothing more than pompous posing.
| >
| > | Noethers theroem loosely speaking says to every symetry in a systems
| > | lagrangeian there corresponds as conserved quantity. The conserved
| > quantity
| > | associated with symmetry in time is called energy -
| > | http://www.mathpages.com/home/kmath564/kmath564.htm
| >
| > As this theorem includes lagrangeians the same comments apply.
| >
| > I would try and debate with you the validity of a lagrangeian if the
| > space/time it was being applied to had been deformed\curved into an
| ellipse
| > by motion or mass but we seems so far apart on this matter and your
views
| > are based on such old thinking that I doubt we can communicate unless
you
| > are prepared to examine your fundamental knowledge base for
| > misunderstandings in a variable time/distance cosmos.
|
| Quit evading - that has nothing to do with the symmetries of a
lagrangeian.

It may not be in your mind Bill but it may be relevent to its use in GR.

|
| >
| > | > Fourthly I don't believe that charge as defined by the electron is
| > | > fundamental etc , is that enough for the moment but we can go into
| > | > detail if you start by answering the above question.
| > |
| > | Quit evading - the above has nothing to do with the definition of
| energy.
| > |
| >
| > This presumably means that you think charge is not an aspect of energy ?
| >
|
| It means it has nothing to do the with modern definition of energy and is
| simply another attempt at your usual tactic of evasion.

Again not answered

|
| >
| > This seems to contradict your ealier statement 'Energy in GR is a rather
| > slippery concept due to the fact that energy is the conserved Noether
| charge
| > related to time symmetry of the lagrangian - it is rather difficult to
| > define such when that
| > symmetry is lacking due to space-time curvature'
|
| Quit evading - in this context Noether charge is nothing to do with
electric
| charge other than they both contain the word charge. And if you do not
| understand the terms well enough to know that post back when you have done
a
| bit of investigation.

Well I hope there are some who are intelligent enough reading this group to
parse that up as you seem to have at least two definitions of charge and a
new definition of energy.

For those who might be confused by Bills statements, claims and
definitions.

ENERGY:- A measure of a system's ability to do work. Like work itself, it is
measured in joules. Energy is conveniently classified into two forms:
potential energy is the energy stored in a body or system as a consequence
of its position, shape, or state (this includes gravitational energy,
electrical
energy, nuclear energy, and chemical energy); kinetic energy is energy of
motion and is usually defined as the work that will be done by the body
possessing the energy when it is brought to rest. For a body of mass m
having a speed v, the kinetic energy is mv^2/2 (classical) or (m - m_0)c^2
(relativistic). The rotational kinetic energy of a body having an angular
velocity w is Iw^2/2, where I is its moment of inertia.
The *internal energy of a body is the sum of the potential energy and
the kinetic energy of its component atoms and molecules.

CHARGE :- A property of some *elementary particles that gives rise to an
interaction between them and consequently to the host of material
phenomena described as electrical. Charge occurs in nature in two forms,
conventionally described as positive and negative in order to distinguish
j between the two kinds of interaction between particles. Two particles that
have similar charges (both negative or both positive) interact by repelling
each other; two particles that have dissimilar charges (one positive, one
negative) interact by attracting each other. The size of the interaction is
determined by *Coulomb's law.
The natural unit of negative charge is the charge on an *electron, which
is equal but opposite in effect to the positive charge on the proton. Large-
scale matter that consists of equal numbers of electrons and protons is,
electrically neutral. If there is an excess of electrons the body is
negatively
charged; an excess of protons results in a positive charge.
A flow of charged particals, especialy a flow of electrons, constituetes an
electric current.
Charge is measured in coulombs, the charge on an electron being 1.602 x
10E-19 coulombs.

ENERGY(Bill) ?????? Please fill in Bill

CHARGE (Bill) ??????? Please fill in Bill

CHARGE NOETHER ?????? Please fill in Bill

NOETHER'S THEOREM
Noether's theorem Every continuous symmetry under which the
*Langrangian (or *Hamiltonian) is invariant in form is associated with a
''conservation law. For example, invariance of a Langrangian under time
displacement implies the conservation of energy. Not all conservation laws
are associated with continuous symmetries, since some conservation laws
are associated with *topology, particularly for *solitons. It does not
automatically follow that if there is a conserved quantity in a .classical
field theory associated with Noether's theorem, there is a conserved
quantity in the corresponding *quantum field theory; this raises the
possibility of an anomaly. Noether's theorem was stated in 1918 by the
German mathematician Amalie Emmy Noether (1882-1935).


RED HERRINGS ? to my original post Bill {:-)

|
| Bill
|
| >
| > Which might be a reason that I don't take your statements to seriously
as
| > they seem riddled with misconceptions and contradictions.
| >
| > --
| > Significant Zero E-field = Electric field, M-field =Magnetic field,
two
| > unbound field effects
| > http://home.freeuk.com/paulps/
| > Maybe updates. (1-(1/(1/3))^2)/(1 + (1/(1/3))^2) = - 0.08 = FTL ? -p<+p
| or
| > (m*-v)<(m*+v) or (m*-c^2)<(m*+c^2) =g?
| >
| >
| >
| >
| >
| >
|
|



.

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