SleestackVII wrote:sponsoredwalk
I want to be fair to you even tho you are not exactly being fair to Mathis' work. In reading through your post I have noted several problems with your argument.
First of all you may have had an adversarial mindset when you skimmed the paper.
...
One more thing before I conclude. sponsoredwalk I appretiate you having an interest in Mathis' work, EU/PC theories, and Physics in general like I do. I am going to assume you are trying to assess Mathis honestly just like I am. So, bottom line, its important to represent Mathis' arguments accurately when making that assessment. That is my goal and I trust it is yours too
I believe this may have tainted your first reading of it. Please I ask you to take another whack at it. This time assume that Miles isn't trying to sneak one by you. He seems to me to be very adept at mathematics and equation manipulation and understands these equations very well. Its important to pay attention to the arguments he makes in the actual paper and not make up phantom arguments for Mathis that can be easily cut down, hence, strawman arguments..
No offence, but you're completely wrong. Not only have I read Mathis paper with an open mind, I read this
paper 7 months ago, thought about it for a month and then started the thread quoted by Doc Watson above,
then I thought about it every so often for the past 6 months to make sure I haven't made a mistake, to make
sure the people in that thread who I asked about this paper were not just writing him off so
please don't accuse me of reading this adversarially and letting some phantom bias cloud my judgement.
Mathis' arguments are wrong, and notice I've focused on specific things he's said. I never went near his
argument about wavelengths, or why there is a v² in the equation, yet that's what you start your
response to me talking about. Who is creating phantom arguments? I've only focused on what I know I can
talk about, the basic stuff, because it's the basic stuff he's getting wrong. You can accuse me of not being
fair to him all you want but all I've done is analyse his words and talk about what I know about them. If being
skeptical of someone's work is not "fair" I don't think we agree on the definition of fairness. If I'm coming
across as challenging it's because I am in fact challenging something I see as wrong. It's nothing personal
to anyone, I'm just focusing on the material.
The substance of Mathis paper, for me, is the beginning. His claim is our textbooks are wrong. Well I was
only learning about what kinetic energy was 7 months ago properly. In fact it was a wave of relief to
learn the source of the equation I'd heard about in school for 6 years not knowing a thing about where it
came from etc... I can't tell you how happy I was to see a logical derivation of the equation that haunted me
as part of a wider "haunting" I experienced. So when someone comes along and claims this is actually wrong
of course I'm going to give it some proper thought. I definitely thought there was something to it until
thinking about it clearly. A lot of my confusion sprang from the missing Δ, hence why I emphasize it's importance.
Mathis:
W = E = Fd = ½ mvf2
Work is then defined as the change in kinetic energy, in the famous work-energy theorem.
The hole here couldn’t be bigger, though we never see comment on it. Lots of things have kinetic energy that don’t have accelerations. A photon is a prime example, but there are millions of other easy examples. The equation itself makes this clear, since it doesn’t have an acceleration in it. You can plug any particle with any constant velocity into it, and achieve a kinetic energy. So this derivation is misdirection. It implies that we need an acceleration in order to have a force or kinetic energy, but we don’t. Any object with any velocity will have a force. A car hitting you will apply a force, whether or not it is accelerating.
See the part in red, that is wrong. It's actually terrible language too, I mean you need a force to get an
acceleration. A force is the reason for an acceleration to occur. Things don't just accelerate, they accelerate
due to the action of a force. And yes, the reason I constantly rewrite the equation
W = F•d = ΔK.E. = ½mv₂² - ½mv₁² = ΔE
is to emphasize that a force causes an object to change it's kinetic energy. If a body is originally motionless,
a force will cause it to change it's kinetic energy. Then as it moves along and hits you, as Mathis mentions
in the blue text above, the body will apply a force. The reason a moving object can apply that force to
you as it moves is because
it originally gained kinetic energy due to a force acting on it at that time.
Essentially, Mathis claims that because an object that is moving at constant velocity hits you, thereby
being a force that acts on you, this somehow shows the derivation of the equation to be a misdirection
because acceleration is used in the derivation as part of the algebraic manipulation. As I've already said,
my Δ "strawman" gives a logical answer to Mathis, the body that is moving at constant velocity has
gained it's kinetic energy of motion because a force (with acceleration coming along as an accomplice) caused
it to move in the first place. He totally neglects the fact a body is only moving because a force got it moving
to begin with. Also, when he mentions "You can plug any particle with any constant velocity into it, and achieve a kinetic energy.", his obvious assertion is that because you can do this it somehow invalidates the derivation of
the kinetic energy term because it was itself initially derived from an equation that had acceleration in it.
Read his words - "The hole here couldn’t be bigger, though we never see comment on it. Lots of things have kinetic energy that don’t have accelerations" ... "So this derivation is misdirection. It implies that we need an acceleration in order to have a force or kinetic energy, but we don’t."
It''s as if he's saying: Look! A body with constant velocity is being described by an equation with an acceleration in it! Obviously it's the work of gloriously negligent textbook authors because I don't see an acceleration, do you? In fact, I'm even more right because a photon doesn't have an acceleration either! See! Lots of evidence on my side!
How can you not see how dishonest mentioning a photon at this instant is? I know light moves at c,
that is totally irrelevant to us. It's only relevant if you think a body moving at constant velocity somehow disproves
a different equation that has nothing to do with that body moving at constant velocity...
SleestackVII wrote:
In the last part of the above quote you mention an “identity”.
Can we agree that identity in this context means “equals” as in the word equation? That means all the terms between all the equal signs are identical to all the others. Its not just an identity it is the backbone of mathematics. I understand that you already know this but how is it relevant to the discussion? Mathis is not focusing on the terms that you wish to focus on but you must admit that if the equation holds true then any of the terms may be set against any of the others using an equal sign and focused on exclusively.
No, that is not what I meant by an identity. The equals sign has nothing to do with what I'm saying about this,
maybe it was a bad choice of words on my part. All I meant was that K.E. = ½mv² is just a term
that gives a certain number, in this case a scalar value, to some physical quantity. It is independent
of everything else other than velocity and mass. Acceleration has nothing to do with this value,
an acceleration will change it and you'll get new instantaneous values for this scalar quantity when
you plug in the new velocity that the acceleration has given the body. That said, an acceleration
does nothing but change the value. The whole derivation does indeed stumble upon this quantity
but the derivation in fact stumbles on the change in this quantity, it comes upon the change in this quantity.
This does not invalidate what that quantity represents.
Just to be crystal clear, I can't respond to most of your post seeing as you chose to talk about everything I
purposely neglected in his paper. I'm only focusing on what I can talk about and you haven't addressed any point
I made other than to say Mathis was being facetious at one point. I'll just have to go through the paper again
and show you where he is making mistakes and notice it will be in those points having nothing to do with
wavelengths etc... I can't speak about them.
The hole here couldn’t be bigger, though we never see comment on it. Lots of things have kinetic energy that
don’t have accelerations. A photon is a prime example, but there are millions of other easy examples. The
equation itself makes this clear, since it doesn’t have an acceleration in it. You can plug any particle with any
constant velocity into it, and achieve a kinetic energy. So this derivation is misdirection. It implies that we
need an acceleration in order to have a force or kinetic energy, but we don’t. Any object with any velocity will
have a force. A car hitting you will apply a force, whether or not it is accelerating.
How does a photon having constant velocity disprove an equation that explicitly deals with acceleration?
How does the fact that lots of bodies having kinetic energies without having accelerations imply there is a
huge hole we never comment on and imply the derivation is a misdirection?
How is the derivation of Work a misdirection, as implied by his comments seeing as he is deriving this quantity?
Why does Mathis imply that because K.E. = ½mv² is derived in an equation with acceleration in it
somehow invalidates the derivation?
Why does Mathis incorrectly tell us that this derivation implies we need an acceleration to have a force or
kinetic energy? By his logic here it's understandable to believe his next conclusion, that a car applying a force
whether or not it accelerates, somehow accords with a misdirected derivation, but the equation implies
nothing of the kind. This badly phrased sentence, i.e. focusing on acceleration as being the prime
cause when nobody else thinks that, is just confused. He is the only one who thinks this equation implies
we need an acceleration in order to have an force, I don't and in fact neither does the equation, seeing as
it emphasizes Force as causing a change in K.E.
But can we derive the kinetic energy equation without a force? Can we achieve a square velocity without assuming an acceleration? ...
Some quarters try to dodge this problem as Wikipedia does when it says, “Having gained this energy during its
acceleration, the body maintains this kinetic energy unless its speed changes.” But this is absurd. The equation
is developed from the acceleration, as I just showed. The work-energy theorem requires a change in velocity,
which is an acceleration. You cannot get work without a force and you cannot get a force without an acceleration.
But the current kinetic energy equation has no change in velocity. A particle has kinetic energy with a constant
velocity. If the kinetic energy equation is developed from an acceleration, it means the energy depends on the
acceleration. The particle should have kinetic energy only while it is being accelerated.
If you're going to argue this is facetiousness then it invalidates Mathis claims because there is no substance
to his arguements here. Here he explicitly states that wikipedia is absurd for it's conclusion seeing as the
equation is developed from an acceleration. Is this the fecetious statement? Also, "you cannot get a force without an acceleration", if this is true then it invalidates the whole area of physics known as statics
It seems again that he focuses on accelerations more than forces as being prime causers, you can get a force
without an acceleration, that is what the study of a simple free-body diagram showing a boy acted on by gravity
and a normal force clearly shows. So he must of been facetious here too. But his next conclusion, that
a particle has K.E. with constant velocity, this is true. But why does he say that K.E. is developed from an
acceleration? Facetiousness? K.E.
is developed from acceleration, as he & wikipedia clearly said!
But he said
this was absurd? Where is the facetiousness??? If this is supposed to be a revolutionary paper you'd think he'd
alleviate all chance for confusion! The point is he's not being facetious, he's saying wikipedia is absurd in
it's conclusion that the body maintains it's kinetic energy unless the speed changes. Proof? Because he not only
quotes this line and calls it absurd but then goes on to say that "the particle should have kinetic energy only while
it is being accelerated.". If he's being factious in the last line then quoting wikipedia and calling it absurd
means he was wrong about wikipedia, that arbiter of propaganda, and if he's right in calling wiki absurd
then his conclusion is not facetious but serious.
Also, when Mathis says:
You cannot postulate an acceleration in order to develop an equation, and then dump the acceleration. The
equations that come after the first equation depend on the first equation. You cannot have different assumptions
in the postulate equation and the derived equations. You cannot have variable motion in the first equation, and
then derive constant motion from it! We see once again how our textbooks are riddled with gloriously negligent
math.
it only further shows that he actually believes "the particle should have kinetic energy only while it is being accelerated" because he thinks we're dumping acceleration when it's equal to zero. Again, as I originally
said, the only conclusion here is that K.E. = ½mv² is somehow a misdirection because the term ½mv² is
derived in an equation with an acceleration that is not zero. But this equation is describing the change in energy,
not the energy itself. K.E. = ½mv² is just "an identity", or rather a term, that tells you the energy of the
body. There is no change in any assumption at all.
Based off all of this, his reasoning to think that the derivation is a misdirection is fundamentally
flawed. There is nothing absurd about thinking a body maintians it's kinetic energy unless it's speed
changes, there is nothing misdirected in the derivation because a body that hits you will impart a force
whether it's accelerating or not and there is certainly nothing misdirected in the equation because a
photon travels at the constant speed of light. Mathis mentioning all of these points as motivating factors for
his conclusions are all ridiculous, I have nothing to say about the conclusions he draws from these observations
as you clearly see. The Δ explains "If the kinetic energy equation is developed from an acceleration, it means
the energy depends on the acceleration", it means he not only forgets the Δ, which indicates change, he also
forgot to include the word change in his descriptions using words. If the kinetic energy is developed from an
acceleration, it means the change in energy depends on the acceleration. This says nothing about the energy
the body had before the force acted to change the acceleration. This is described by a previous event, and also
explains Mathis example of a car hitting you imparting a force whether or not it was accelerating, because it
absurdly has the kinetic energy it accumulated when it first began moving.