Saturday, September 14, 2013

More reflections on Miles Mathis

The internet is so amazing! I discovered Miles Mathis’ website May 4th, 2013 (when searching “variable acceleration” Newton Leibniz on Google). Now, just over four months later, I’m still hooked. I actually feel like I’m in one of those detective movies, where it’s up to me to unravel the mystery. I say this not because I’m crazy (I hope), but because, while researching questions (again using Google) I keep stumbling upon other academic papers and blogs making the same claims as Miles, often in unique, highly differentiated ways.

Here is a short list of the best ones:

I'm still fascinated with Miles' overall project, which, following the the intuition of Tesla, creates an alternative to Einstein's idea of curved space-time.

One of my takeaways from the August conference is that the whole issue actually goes back to Newton, and the idea of "action at a distance." Before Newton, the scientific concept of "force" meant to move an object out of its natural state. Newton, however, needed a word to explain his concept of celerity (which we now call "acceleration" but that concept hadn't been mathematically defined yet when Newton was writing).

Before Newton, a force was a collision from outside. Force was seen "forcing" an object out of its natural state. Newton's concept of gravity as a naturally occurring state flips the old idea around by claiming that certain forces are an ever-present relationship between objects, even when separated by the vacuum of space. Gottfried Leibniz and Christian Huygens both criticized Newton's theory on this point at the time, but Newton's mathematics accurately predicted astrological and terrestrial measurements, so gained wider credibility in time.

However, the cause of gravity remains a mystery to this day, as there is still no evidence whatsoever for the existence of gravitons. Without an identified mechanical cause, gravity remains to this day, a non-physical theory.

The mystery of gravity's source runs parallel to the scienfitic understanding of magnets. A few days after attending the conference, I was struck by how little I had learned about magnetism, as a physics major or through internet research. Newton was very much aware of the obvious similarities between his theory of gravitational attraction and magnetic attraction, but was reluctant to make the comparison in his published writings. As the link on magnetism above observes,
Newton’s ambiguous views on magnetism have been the source of debate and confusion among historians of science. This is most easily cleared up by the hypothesis that Newton simply does not know the true nature of magnetism, but he is hopeful that, in the future, it can be integrated into his system of natural philosophy. This approach has left Newtonian scholars in a state of confusion regarding magnetism. They have sought to answer the question: What di d Newton believe was the cause of magnetism? Did he believe in a mechanical or a non-mechanical cause? Newton’s published writings indicate he thought that it was a non-mechanical force of attraction acting at a distance like gravity, but his unpublished writings and private comments indicate he believed in a mechanical theory of Cartesian vortices.
And later,
Magnetic science at the end of the eighteenth century has rejected field theory in favor of action-at-a distance. This is not a progressive development. The nascent field theories of the Greeks, and the scholastic philosophers which finds tentative expression in Gilbert is nonexistent by the end of the century. Two hundred years after Gilbert’s ground breaking work, magnetic theory has progressed very little.

The progress in technical achievement is certainly impressive. The development of artificial magnets and the increased knowledge of terrestrial magnetism are certainly impressive, but they pale in comparison with the fact that the understanding of magnetism as a force of nature has improved very little. The standard account of science history confuses technology and engineering with science. The progress in knowledge obtained by the Newtonian method is purely the knowledge of the engineer, the artificer, and the mathematician. Progress in natural philosophy had been neglected and languished during the eighteenth century. The Newtonians seemed to believe, once the law of magnetic force was established to be the same as gravity, then its application would solve all problems in magnetic science, just as easily as the law of gravity transformed celestial mechanics and knowledge of the solar system. This dream was never fulfilled for the electric and magnetic sciences. The steady progress towards understanding under the aegis of Newtonian method was not what happened as the eighteenth century faded into the nineteenth. - http://www.gsjournal.net/old/science/ricker9.pdf

So where does that leave theoretical science today? It leaves us in a state of further and further specialization, where each field requires its own branch of mathematics to "make the numbers work", leaving us farther and farther from Einstein's old hope for a unified system.

Tuesday, September 03, 2013

Two Big Take-aways from My Trip to New Mexico

1.
The reason why I learned nothing about magnetism in my many years of school, is that magnetism is still quite mysterious and fascinating, and mainstream scientists generally don't like to admit that they don't fully understand such a common, everyday thing! My current educational project, which should actually be fairly simple to pull off, is to design a math curriculum that incorporates magnets. 

2.
Compulsory education, which started right when industrialization was taking off, totally changed the way the rest of society perceives science. Before industrialization, people did not need to be trained for factory-style work, and so could learn freely at their own pace. Theoretical science was perceived as being exactly as relevant as our society sees philosophy today. After industrialization, factory owners needed a cheap program that grades and sorts people on their ability to follow complex instructions. The laws of science and mathematics provided precisely such a program!

Science became the cornerstone of the compulsory school curriculum, and therefore holds its current place in the media as the "economic driver." However, the attitude that theoretical science is an economic driver is a cover used to justify the need for our current competitive, compulsory schooling system that allows large corporations cherry pick the brightest students for management positions. Experimentation and tinkering are what leads to new inventions and technology, but theoretical science, which is 99% of the science that is taught in schools and universities today, really is only peripheral to the invention of new technology and economic growth.

Wednesday, July 31, 2013

What Is a Curve?

This post is simply an abridged version of Miles Mathis's essay http://milesmathis.com/pi.html

I see this essay as the theoretical foundation of Mathis's system, so it is a good place to start in order to avoid confusion when reading Mathis's other essays.

par. 10
Drawing a circle is a real event, not an abstract event. In fact, any possible circle must take time into consideration. This is true of orbits, bugs walking in circles, whirlwinds, and so on. When we apply mathematics to any of these situations, we must take time into account. That is why we find accelerations in all circular motion, the most famous of which is the centripetal acceleration. Centripetal acceleration can be due to gravity or to some other force, but in any circular motion there will always be a centripetal acceleration.

par. 14
Here is an equation that is used everyday, right now, by the smartest people alive:
v = C/t = 2πr/t
     where v is the orbital velocity, C is the circumference and t is the period of the orbit. Newton used this equation. ... We have C in the place of x, as if C is a simple distance. [However,] C is not a simple distance. There is no way to express C with just an x-dimension. In fact, as I have just shown, C is three-dimensional, if you include time. This equation is including time, as you can see by the denominator. You cannot have a t in the denominator and claim you are ignoring time. You cannot put a curve over a time and have it come out to be a simple velocity. Velocity is defined as x/ t. The variable x is one-dimensional and therefore cannot curve.

par. 18
[S]ay you are in a tiny spaceship at the center of the circle. You are instructed to fly at a thousand miles per hour for one hour, then turn left at a 90o angle and keep going, not pausing or changing your velocity. You will say, “I need some method for calculating velocity. What if the background changes in some weird way after I make the left turn?” I answer, “Just measure internally. Meaning, use your onboard clock and check your engine’s rpm. Whatever the rpm’s were as you were going a thousand miles per hour along the first straight line, keep them there after you turn left.” You do as I say and after exactly one hour you come to a rosebush and a sign that says, “left here.” Miraculously you make the sharp turn without slowing down at all. After some time you come to the rosebush again and you think, “Is that the same rosebush? What is going on?” What is going on is that I turned on a big magnet as soon as you got to the rosebush. My magnet and I, sitting at the center of the circle [with r = 1000 miles], are causing you to circle us.
      According to this set-up, your velocity out to the rosebush would be r/t. You were instructed to keep this velocity, by a method that would guarantee it was kept. Therefore your tangential velocity is also r/t.

par. 20
Now, the question is, what centripetal acceleration must I apply to you with my magnet to keep you moving in a circle? Surprisingly, the answer is always the same. It doesn’t matter what your speed is going out to the rosebush or how long it takes you to get there or how far away the rosebush is. As long as you keep your speed the same before and after you turn, the acceleration I must apply to you with my magnet is. . . . π.

par. 29
Pi only applies if the tangential velocity is equal to r/t. But in orbits and most physical problems, this will not be true. The centripetal acceleration and the tangential velocity are independent motions. They are not necessarily related, much less equal. That is why we don’t find the value of pi for the acceleration in gravitational fields.

par. 33
To be even more specific, a = v2/r works in experiment because v = 2πr/t works in experiment. The equation v = 2πr/t is a very useful number to us even though it does not really express the orbital velocity, or any velocity. It is more useful to us than the actual orbital velocity or the actual tangential velocity, both of which aren't really that interesting in experiment except as theoretical numbers. The number 2πr/t is a number we can use, and if we mislabel it as a velocity, well, who cares as long as we mislabel it the same way throughout the centuries?
    Engineers aren't paid or trained to care about such things, but theoretical scientists understand that such mistakes ultimately lead to ruin. In the short term they may lead to simple engineering failures, which is bad enough. But in the long term they always lead to theoretical dead-ends, since a sloppy equation is the surest of all possible ways to stop scientific progress. A correct equation is almost infinitely expandable, since its impedance is zero. Future scientists can develop it in all possible directions. But a false or imprecise equation can halt this development indefinitely, as we have ample proof. Mislabelling variables is not a semantic or metaphysical failure. Is it failure of science itself.

Three Discrepancies Between Miles Mathis and Mainstream Physics

Here are the biggest discrepancies I have found between Miles Mathis’s theory of physics vs. the mainstream theory I learned growing up.

1. The Dark Matter theory. Mathis sees Dark Matter as a desperate attempt to make the numbers work for the mainstream model. 

2. The shape of space. Mathis agrees with Tesla's position, "space cannot be curved, for the simple reason that it can have no properties." Mathis's opinion is that Einstein made many important contributions, e=mc^2, relativity, but was mistaken about a couple of things, including the curvature of space. (See my previous post for more on Mathis's understanding of light and relativity.)

3.  In Mathis’s system, curved motion, such as the path a planet moves through, does not have the same units as straight line motion. (!!!) While this may sound far-fetched just from being so different from the historical mainstream, there is no reason that it could not be correct. For example, historically, we have defined the length of a curve to be the straight-line length of a thread that fits along that curve. Mathis claims that curved motion is fundamentally different than straight-line motion, and so curves must be treated different than lines

This is the most difficult assumption in Mathis's theory, as it forces the redefinition of many basic assumptions of the mainstream math and physics we have grown up with. But Miles Mathis’s system is consistent! Many of his papers seem to contain errors and contradictions to someone used to the mainstream model. There are multiple times in Mathis’s papers where I have come to what I thought was an obviously incorrect statement. Each time, I’ve found Mathis directly addresses my issue, either within the same essay or often another one. Neither Mathis's system nor the mainstream's have identifiable inconsistencies. It’s just a question of which system best fits the data.

The easiest target for critics of mainstream physics like  is Dark Matter. There is no empirical evidence for Dark Matter whatsoever--the whole theory is an attempt to make the numbers work for the mainstream’s theory of celestial motion. Another time I was reading Mathis’s essay on relativity. I thought that his transformations could not preserve the speed of light for different observers. I didn’t realize that Mathis had already written an
entire essay addressing the exact question I had! Finally, this week (late July, 2013) I had a question about his analysis of circular motion. Again, a paper on the issue I had!

Mathis, a figure artist originally, has been writing these papers for over 10 years and over that time has written papers addressing most every issue that a reader will have. Keep this in mind whenever you think you’ve found an inconsistency reading him.

Monday, July 22, 2013

A Brief History of Light


What did people living before the 20th century know about light? Of course, from simple examples such as thunder and lightning, it is clear that light is much faster than the speed of sound. But was light instantaneous or just really, really fast? Philosophers disagreed, and for many centuries, no observations were accurate enough to decide. That is, until the invention of the telescope in the 1600s confirmed that light indeed did have a (really, really, really fast) finite speed.

How fast is light exactly?
Light travels at a speed of about 300,000 kilometers per second, which means it travels the distance of the equator 7.5 times in one second.

By comparison it takes sound (travelling through air) almost 33 hours to travel the distance of the equator just once!

How long have humans known the speed of light
?
I was surprised to learn that we have known all of this since the 1670’s, when Dutch astrologer Ole Rømer used observations of eclipses of Jupiter’s moon Io to demonstrate that the speed of light was in fact finite, and even calculated the value with a fair degree of accuracy. Roemer’s publication provides the correct conception that light is virtually instantaneous for terrestrial measurements, but not fast enough to ignore for measurements within the solar system. [ ref. http://www.rundetaarn.dk/engelsk/observatorium/light.htm ]

Why does this matter?
Until the 20th century, the general consensus seemed to be “it doesn’t.” The concern was for terrestrial mechanics and nothing more. Since light travels so fast as to be virtually instantaneous on earth, no one really worried about it. For instance, Isaac Newton writes a side-note referencing that light takes approximately 8 minutes to travel from the sun to Earth, but in all of his theoretical work, he ignores light’s finite speed.

In 1886 Heinrich Hertz successfully confirmed James Clerk Maxwell’s theory published in 1865 that visible light was just a small part of a larger electro-magnetic wave spectrum. Hertz demonstrated that the signals generated by a spark gap transmitter could generate an electric field, proving that Maxwell’s electromagnetic radiation could be generated. Hertz also confirmed Maxwell’s prediction that this radiation travelled at 3.0 * 10^8 m/s, which is also the velocity for light.

At this time, interest in the precise nature of these strange new "radio waves" grew rapidly.

How does Light travel?
When you look up at the night sky, what is going on? How is the light getting from the stars to your eye?

According to Einstein, the relative velocity of the star to earth causes a bending of space-time, which preserves the velocity of light for all potential observers, whether they are traveling towards or away from the source of the light.

Tesla and Mathis, however, reject the bending of space. For them, both your eye and the distant star generate a charge field, in much the same way that all matter generates gravitational fields, and it is through this charge field that light travels.

Imagine the distant star is moving away from earth’s solar system at c/2, half the speed of light.

Einstein’s general relativity hypothesizes that the space-time between the two reference frames, earth’s and the star’s, will be bent such that both frames will calculate the speed of gravitational attraction (and of light) between the two frames to be c.

Here’s Wikipedia’s description of gravity in Einstein’s general relativity:

Formally, c is a conversion factor for changing the unit of time to the unit of space.[2] This makes it the only speed which does not depend either on the motion of an observer or a source of light and/or gravity. Thus, the speed of "light" is also the speed of gravitational waves and any massless particle. - http://en.wikipedia.org/wiki/Speed_of_gravity
So according to Einstein’s own theory of general relativity, the gravitational attraction between two objects does not depend either on the motion of an observer on earth or the star. Gravity is a mysterious field that each body contributes to, yet both observe as traveling at the speed c.

In the language of the mainstream physics' general relativity, only empty space is flat. Matter is a “disturbance” within “flat” space, which produces “perturbations.” Two bodies of matter will produce perturbations in just the right way to bend space-time so that the constancy of the speed of light (equivalently, the speed of gravity) is preserved. Notice what is happening here. Both objects are “bending” the field [space-time] through which the gravitational attraction between them occurs. 


Mathis is saying that light is generated by precisely the same kind of field as Einstein’s gravitational field in general relativity. That is, the light-producing charge field is generated by both the observer and the distant object in such a way that the speed c is preserved for both.

Mathis is saying that it is the light-producing charge field that is altered in order to preserve the constancy of c, and not space itself. Somehow Einstein missed this possibility, and thus we are left with curved space-time.

Mathis’s system is every bit as consistent as the Einstein/Lorentz system. The only question is which system best matches the empirical data. See my previous blog entry and the following excerpts from some of Mathis's papers for more on this comparison.



From http://milesmathis.com/tesla.html:  I hold that space cannot be curved, for the simple reason that it can have no properties. . . . Of properties we can only speak when dealing with matter filling the space. To say that in the presence of large bodies space becomes curved is equivalent to stating that something can act upon nothing. I, for one, refuse to subscribe to such a view. - Nikola Tesla
Tesla tells us that space can have no properties, since it is a “nothing”. Only matter can have properties, not space. I agree with him completely. And, although I accept the numerical findings of General Relativity, I do not accept curved space any more than Tesla. - Miles Mathis-
From http://milesmathis.com/rel4.html
You already know that great speed can make an image blurry, but Relativity is much more than that. Even if we have a very fast f-stop on our camera, and can get rid of any possible blur, great speed will still cause distortion. It causes distortion because the light we are seeing with must travel from the object to us. But since the object has size, different parts of the image reach us at slightly different times. If we give the object two ends, one end must be further away than the other end. All ends cannot be the same distance, unless the object is a point. And no object is a point, since a point is not an object. This means that we
must get distortion, and that the distortion is due to size.
Now, according to this explanation, even an object at rest must be distorted, due to size. And this is also true. But the distortion of an object at rest is so small we may ignore it. To get any noticeable distortion due to Relativity on an object at rest, the object would have to be exceedingly large, so that light traveling from one end would arrive late. Normally, Relativity is not applied to objects at rest, and that is why.
But motion increases this effect greatly, and very fast motion increases it to a point where it becomes measurable. The reason is that very fast motion can make the farthest end of an object seem closer than it is. A small object passing you very fast will seem even smaller, since any part of the object traveling away from you will seem to be compressed. This is called length contraction.
Also from http://milesmathis.com/rel4.html
Light, like sound, has a wave. The analogy to sound is not perfect or complete, but light does have a wave. A train approaching us will have its light waves compressed and a train departing will have its waves stretched, for the same reason as we saw with the sound waves. We see the train at 100 feet, and then the train at 99 feet, and so on. We don’t see a continuous image, we create one from the still images we receive. Since the later light has less distance to travel, it makes up time on earlier light, and the wave we see gets compressed. In reverse the same thing happens as the train recedes.
Many will think this must make the receding train look longer--since waves that are stretched must be longer--but this is not what happens. The longer waves only make the train look redder. We read longer waves as redder and shorter waves as bluer, so a larger wavelength will cause a redshift.
The reason the receding train looks shorter is that the length of the train is determined by a single image. Unlike the wave, which is built of a series of images, the length is determined by one image only. In other words, we could take a picture with a real camera, and using that one image, we could determine the apparent length of the train. [And, yes, that one image would be distorted by Relativity. That real picture, taken by a real camera, would be distorted by Relativity.] Now, that one image is made up of all the light reaching us at the same instant, from all the points on the train. Since all the light is moving the same speed, the light from more distant points on the train must be earlier light. To say it another way, all the light is reaching US at the same time, to make the image, so it can’t have left all points on the train at the same time. If we work backwards from our eye, and go the speed of light for x seconds, we can reach some points on the train, but not others. This means that our image is made up of older and newer light. For instance, if the light from the nearest parts of the train was emitted at t = .0002s, then the light from the farthest parts of the train might have been emitted at t = .0001s. The light has farther to go, so to reach us at the same time, it had to be emitted earlier. If it was emitted earlier, then it was emitted when the object was not quite as far away. Therefore, the far end of the object will appear closer than it is. Therefore, the object will appear smaller or shorter than it really is.
From http://milesmathis.com/ether.html
Light, when seen or measured, is always local: meaning, it is always right in your eye or your instrument. Furthermore, it is always moving right at you when you see it or measure it. You cannot measure tangent light or light at any angle or light at any distance. You cannot measure light moving parallel to you, perpendicular to you, or moving away from you. Any attempt to measure the speed of light will be the attempt to measure light that is already impinging on the eye or instrument. ... [T]he emission and reception are both relatively instantaneous. Light is so small and moving so fast, that any motion of the emitter or receiver becomes negligible. ... This is the reason all receivers measure the speed of light to be c, and for no other reason.
Tom's note: This exact same argument is used by Einstein's general relativity to explain gravitational attraction between objects moving very fast towards or away from each other. Mathis just takes the argument away from gravitational fields, and applies it to a "foundational E/M field" that generates light, thus avoiding Einstein's warping of space.