Old Math and Old Physics were smart enough to have Instantaneous Velocity, but too dumb and stupid to have Instantaneous Energy.
frequency = T^-1
Angular momentum = ML^2T^-1
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AP discovers the Integral is Angular Momentum is Instantaneous Energy while the Derivative as velocity is Instanteous speed.
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Physics has the Principle that Light is a constant maximum speed. It also has a less known Principle called Least Action which basically says that the motion of a particle follows the path of Least Action or Angular Momentum. I like to call it the Least Energy principle. And what it basically means is that Velocity is the dual of Angular Momentum, just as addition is the dual of subtraction; multiplication the dual of division; derivative the dual of integral; electricity the dual of magnetism.
Old Math not only was stupid in never realizing calculus is geometry and seek a geometry proof of FTC, but they did manage to find "Instantaneous Velocity" in spite of their stupidity. But being dumb often means being sloppy, and Old Math --- finding intantaneous velocity, never followed through. Okay, you found instantaneous velocity but struggling to ever teach it, but you failed miserably in finding Instantaneous energy. And I suppose waiting for AP to discover it for you.
Old Math was never smart enough to have a valid proof of Fundamental Theorem of Calculus, FTC, because they never had a understanding that Calculus is geometry and the only way forward with a valid proof of FTC was to think of derivative and integral as geometrical slope for derivative and area in that particular cell where the derivative is found.
Being dumb and stupid in Logic by Old Math professors they invented the "Limit analysis" as a means of offering a proof of FTC, for they had no proof at all.
But playing a dance of wiggle waggle on x and y axis as the limit does is Irrelevant. Just ask a math professor who thinks FTC can be proven by talk of a Limit on x and y axis solves anything. Just like asking the math professor how Irrelevant it is to sing the National Anthem in doing the FTC and solving it. If Old Math professors had been required to take 2 years of Logic before getting their degree, surely, some of those wooden heads would have begun to notice that Limit analysis is utterly Irrelevant to a proof of FTC.
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Math professors are mostly failures of Logic
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Scientific American, SA, June 2026, Joseph Howlett interview with mathematicians over the Riemann Hypothesis. Titled by SA as "The Scariest Problem in Math". Riemann Hypothesis RH, now 170 years old but not true, for AP solved it in early 1990s.
(1)
"An AI that can prove the Riemann hypothesis is not one I'd want to meet," said Andrew Sutherland, a number theorist at .. MIT.
AP writes:: Well Andrew, I certainly would like to meet any math professor at MIT who is not a failure like you who cannot admit slant cut of cone is actually a Oval, not your ellipse. Or, Andrew, understand that Calculus is geometry, thus the only valid proof of Fundamental Theorem of Calculus requires a geometry proof, not your silly stupid "limit dance hornswaggle". And finally, Andrew, how many years of Logic before graduating in school did you take??? Probably none in my guess, because a person with a 1/2 a marble brain in Logic --- could, has the potential to see--- that primes in the Riemann Hypothesis --- that primes are ILL-Defined Concept. And thus no Riemann Hypothesis proof exists because the whole entire conjecture is fantasy land of boneheads of Logic. Andrew-- certainly you can admit that multiplication over the Counting Numbers always turns up ---- another counting number. Logicians call this Consistently Complete to Multiplication. But, now, take any two Counting numbers and divide them--- sometimes they end up being another counting number but more often they end up being a Rational number, not a Counting number. Logicians call that Consistently Incomplete to Division. In other words Andrew--- Primes are figments of the imagination of math failures.
Reals are not the true numbers of mathematics, but that Decimal Grid Numbers form the true numbers of Mathematics. Spend a moment, Andrew, and examine Decimal Grid Numbers--- the smallest set is 10 Grid with 0, .1, .2, . . ., 9.9, 10 having 100 numbers in all not counting 0, then comes the 100 Grid as 0, .01, .02,...., 99.99, 100, and on and on to the infinity borderline at 10^604. So, Andrew, the million dollar question, is --- Do Prime Numbers exist when the True Numbers of Mathematics are Decimal Grid Numbers? Answer is No. You see Andrew, your career in math was that of living in a bubble-of-nonlogic, a fantasy world of numbers when you have no logical brain to be doing math.
(2)
Joseph Hewlett ponders and writes:: "What is this math puzzle that is so complicated only a truly formidable superintelligence could resolve it?"
AP writes: Joseph you are only pandering to fools to make RH look good. RH was solved by Archimedes Plutonium in early 1990s, but no mathematician wants to listen to the solution, just as no mathematician, and probably you-- Joseph Hewlett wants to listen to the fact you failed conic sections for you still believe slant cut of cone is a ellipse--- not true, it is a oval. And if any mathematician cannot understand slant cut of cone is a oval, not ellipse, they sure as Hell cannot do a valid proof of Fundamental Theorem of Calculus, nor, wrap their microbrain around RH is a flop for Primes are a figment of a hallucination that no primes exist in the true numbers of mathematics--- Decimal Grid Numbers.
Here, Joseph--- AP makes a new proof, a new RH proof in May 2026.
Statement--- the True numbers of mathematics are the Decimal Grid Numbers starting with 10 Grid going up to 10^604 Grid. And we see in every number and integers of those Grid System, that they all have NO PRIME NUMBERS.
Proof that RH is junk:: Since the true numbers of math have no prime numbers, then RH was a delusion by failed Old Math professors.
(3)
"The basic status is: nothing is happening, and I don't really expect anything to happen," says Alex Kontorovich, a mathematician at Rutgers University.
AP writes:: To be expected for AP proves the Ancient over 2,000 year old Apollonius conic section is not a ellipse in slant cut but an oval, proves it is oval in 2016. Nothing is happening in True Math, no, Sunderland and Kontorovich, will go back to the classroom and teach slant cut of cone is ellipse; teach limits as a proof of calculus; teach that primes should fill up your life, when primes as a concept-idea are a decrepit mind illusion. The witches flying on brooms of mathematics.
In 2016, AP proves slant cut of cone is NOT ellipse but oval.
Array:: Analytic Geometry proof that Cylinder section= Ellipse//Conic
section = Oval, never ellipse
Now I did 3 Experiments and 3 models of the problem, but it turns out
that one model is superior over all the other models. One model is the
best of all.
That model is where you construct a cone and a cylinder and then
implant a circle inside the cone and cylinder attached to a handle so
that you can rotate the circle inside. Mine uses a long nail that I
poked holes into the side of a cylinder and another one inside a cone
made from heavy wax paper of magazine covers. And I used a Mason or
Kerr used lid and I attached them to the nail by drilling two holes
into each lid and running a wire as fastener. All of this done so I
can rotate or pivot the circle inside the cylinder and cone. You need
a long nail, for if you make the models too small or too skinny, you
lose clarity.
ARRAY, Analytic Geometry Proof, Cylinder Section is a Ellipse::
E
__
.-' `-.
.' `.
/ \
; ;
| G c | H
; ;
\ /
`. .'
`-. _____ .-'
F
The above is a view of a ellipse with center c and is produced by the
Sectioning of a Cylinder as long as the cut is not perpendicular to
the base, and as long as the cut involves two points not larger than
the height of the cylinder walls. What we want to prove is that the
cut is always a ellipse, which is a plane figure of two axes of
symmetry with a Major Axis and Minor Axis and center at c.
Side view of Cylinder EGFH above with entry point cut at E and exit
point cut at F and where c denotes the central axis of the cylinder
and where x denotes a circle at c parallel with the base-circle of
cylinder
| |
| | E
| |
| |
|x c |x
| |
| |
| |
|F |
| |
| |
| |
So, what is the proof that figure EGFH is always an ellipse in the
cylinder section? The line segment GH is the diameter of the circle
base of cylinder and the cylinder axis cuts this diameter in half such
that Gc = cH. Now we only need to show that Fc = cE. This is done from
the right triangles cxF and cxE, for we note that by Angle-Side-Angle
these two right triangles are congruent and hence Fc = cE, our second
axis of symmetry and thus figure EGFH is always an ellipse. QED
Array proof:: Analytic Geometry proof that Conic section= Oval// never ellipse
ARRAY, Analytic Geometry Proof, Conic Section is a Oval, never an ellipse::
A
,'" "`.
/ \
C | c | D
\ /
` . ___ .'
B
The above is a view of a figure formed from the cut of a conic with
center c as the axis of the cone and is produced by the Sectioning of
a Cone as long as the cut is not perpendicular to the base, and as
long as the cut is not a hyperbola, parabola or circle (nor line).
What we want to prove is that this cut is always a oval, never an
ellipse. An oval is defined as a plane figure of just one axis of
symmetry and possessing a center, c, with a Major Diameter as the axis
of symmetry and a Minor Diameter. In our diagram above, the major
diameter is AB and minor diameter is CD.
Alright, almost the same as with Cylinder section where we proved the
center was half way between Major Axis and Minor Axis of cylinder,
only in the case of the Conic, we find that the center is half way
between CD the Minor Diameter, but the center is not halfway in
between the Major Diameter, and all of that because of the reason the
slanted walls of the cone cause the distance cA to be far smaller than
the distance cB. In the diagram below we have the circle of x centered
at c and parallel to base. The angle at cx is not 90 degrees as in
cylinder. The angle of cAx is not the same as the angle cBx, as in the
case of the cylinder, because the walls of the cone-for line segments-
are slanted versus parallel in the cylinder. Triangles cAx and cBx are
not congruent, and thus, the distance of cA is not equal to cB,
leaving only one axis of symmetry AB, not CD.
/ \A
x/ c \x
B/ \
Hence, every cut in the Cone, not a hyperbola, not a parabola, not a
circle (not a line) is a Oval, never an ellipse.