I was not intending to write Part 5, but judging from the responses I thought it was necessary to explain how to read a journal paper – and a good read cannot be done without a pen and paper. If you are writing a paper, when you have completed it, I would suggest you set it aside for at least a week. Don’t think about your paper or the topic during this shmita period. Then come back to your paper with a pen & paper and read it afresh. You’d be surprised by the number of changes you make, which means you have to start well before your deadline.

Note, you can find articles on how to review or write papers and here is one, by IOP (Institute of Physics, UK) titled Introduction to refereeing, and is a good guide to read before reading or writing a paper. This is especially true for physics but applies to all the sciences and engineering disciplines.

Note, for those who have been following the comments on my blog posts, IOP explicitly states “Do not just say ‘This result is wrong’ but say why it is wrong…” and “be professional and polite in your report”. So I hope, we as commentators, will be more professional in both our comments and the focus of our comments. Thanks.

In this post I will address what is not taught in colleges. There are three things to look out for when reading or writing a paper, Explicit and Implicit Axioms, Mathematical Construction versus Mathematical Conjecture, and finally, Concepts and Logical Flow. In this first part I discuss Explicit and Implicit Axioms.

This may sound silly but 1+1 = 2 is not an axiom. Alfred North Whitehead and Bertrand Russell proved that 1+1 adds to 2. Therefore, we see, that the immense success of the modern civilization compared to all other previous civilizations, is due to the encroachment of the imperceptible mathematical rigor in our daily lives by nameless, faceless scientist, engineers and technicians. Now that is something to ponder about. If we lose that rigor we lose our society. We can discuss economic and political theory but without this mathematical rigor, nothing else works.

Any theoretical work is based on axioms. For example in Pythagorean geometry, one assumes that surfaces are flat in such a manner the sum of the angles of a triangle adds to 180º.  In Riemann geometry this is not the case. Explicit axioms are those stated in the paper.

Implicit axioms are axioms that are taken for granted to be true and therefore not stated, or considered too trivial to be mentioned. More often than not, the author is not aware he or she is using or stating an implicit axiom.

For example, mass causes a gravitational field is an implicit axiom, as we cannot with our current theoretical foundations nor with our current technologies prove either way that mass is or is not the source of a gravitational field. This axiom is also considered trivial because what else could?

But wait, didn’t Einstein … ? Yes correct, he did .…

Mass is a carryover from Newton. It shows how difficult it is to break from tradition even when we are breaking from tradition! Since Newton figured out that mass was an excellent means (i.e. “proxy” to be technically rigorous) to determining gravitational acceleration in mathematical form, therefore mass had to be the source. All tests pertaining to Einstein’s relativity test the field characteristics, not how the source creates the gravitational field.

But our understanding of the world has changed substantially since both Newton and Einstein. We know that quarks are at the center of matter and exist in the same ‘amount’ as mass. So how does one tell the difference between quark interaction and mass as the gravitational source?

The importance of implicit axioms in particular and axioms in general, is that when we recognize them we can change them and drive fundamental changes in theory and technologies. I asked the questions, what is gravity modification and how can we do it? These questions are at best vague, but they were as good a starting point as any? But life happens backwards. We get the answer and then only do we recognize the precise question we were attempting to ask!

When I started researching gravity modification in 1999, I just had this sense that gravity modification should be possible in our lifetimes, but I did not know what the question was. It was all vague and unclear at that time, but I was very strict about the scope of my investigation. I would only deal with velocity and acceleration.

I spent 8 years searching, examining, discarding, testing and theorizing anomalies, trying to get a handle on what gravity modification could be. Finally in 2007 I started building numerical models of how gravitational acceleration could work in spacetime. In February 2008 I discovered g=τc² and at that moment I knew the question: Can gravitational acceleration be described mathematically without knowing the mass of the planet or star?

So the implicit axiom, mass is required for gravitational acceleration, is no longer valid, and because of that we now have propulsion physics.

If, in the spirit of the Kline Directive, you want to explore what others have not, and seek what others will not, my advice is that when you read a paper ask yourself, what are the implicit and explicit axioms in the paper?

Previous post in the Kline Directive series.

Next post in the Kline Directive series.

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Benjamin T Solomon is the author & principal investigator of the 12-year study into the theoretical & technological feasibility of gravitation modification, titled An Introduction to Gravity Modification, to achieve interstellar travel in our lifetimes. For more information visit iSETI LLC, Interstellar Space Exploration Technology Initiative.

Solomon is inviting all serious participants to his LinkedIn Group Interstellar Travel & Gravity Modification.

The first camp, the conventional rocket camp, believes it is possible using conventional rockets (chemical, ion, nuclear or antimatter) to realize interstellar travel to our nearest star Alpha Centauri. One of the problems is the costs, estimated at an unthinkably large $238,596 billion and upwards. It is several thousand times greater if we choose to use antimatter.

Further, John Eades, a former senior scientist with CERN, in his March/April 2012 Skeptical Inquirer article “Antimatter Pseudoscience”, lays down the reasons why antimatter based propulsion will never be technologically feasible.

Black Hole of wealth. One down three to go.

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The second, the hypothesis camp, believes that there is some equation that will allow us to reach 1,000 x velocity of light and upwards based on quantum foam. Nonsense. Be very clear, the experimental evidence proves that anything with mass cannot be accelerated to exceed the velocity of light. Sure, we have hypotheses (i.e. mathematical guesses without experimental proof) that point every which way, but at best these are guesses and they have not or cannot be proven experimentally. In addition, Robert Nemiroff’s three photon discovery suggests that both quantum foam and quantum gravity may in part or whole invalidated while upholding relativity.

Wrong turn. Two down and two to go.

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The third, the impossible camp, believes that interstellar travel is impossible. As Prof. Adam Franks stated in his July 24, 2012 New York Times Op-Ed, Alone in the Void, “Short of a scientific miracle of the kind that has never occurred, our future history for millenniums will be played out on Earth”. Obviously the impossible camp disagrees with the hypothesis camp on the basis of the physics.

Don’t argue. Three down one more to go.

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I belong to the fourth, the new physics camp, that there is a new physics that the other three camps do not subscribe to. There are 57 of us physicist-engineers from 16 countries, US, Russia, UK, China, Japan, Romania, Austria, India and more, who have researched or are researching new propulsion technologies that are not based on chemical, ion, nuclear or antimatter engines or untested hypotheses. We search out and investigate anomalies.

Change is coming. We will be successful.

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Based on my work as evidence, several important phenomena have been discovered

1. A new formula for gravitational acceleration that does not require us to know the mass of the planet or star. This is an immense discovery, never before accomplished in the 346-year history, since Newton, of the physics of gravitational fields, as all theories on gravity require us to know the mass of the planet or star.

2. Solved Laithwaite’s Big Wheel experiment, which nobody else could in the last 35 years.

3. Asked questions that neither relativity nor quantum theory has. For example, how is probability implemented in Nature?

Because we have learned to ask questions that the other three camps have not, we the new physics camp will find different answers and reach the stars before anyone else.

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Benjamin T Solomon is the author & principal investigator of the 12-year study into the theoretical & technological feasibility of gravitation modification, titled An Introduction to Gravity Modification, to achieve interstellar travel in our lifetimes. For more information visit iSETI LLC, Interstellar Space Exploration Technology Initiative.

Solomon is inviting all serious participants to his LinkedIn Group Interstellar Travel & Gravity Modification.

Need For New Experiments To Test Quantum Mechanics & Relativity
We now have a new physics, without adding additional dimensions, that challenge the foundations of contemporary theories. Note very carefully, this is not about the ability of quantum mechanics or relativity to provide exact answers. That they do extremely well. With Ni fields, can we test for which is better or best?

A better nomenclature is a ‘single-structure test’, a test to validate the structure proposed by a hypothesis or theory. For example, Mercury’s precession is an excellent single-structure test for relativity, but it does not say how this compares to say, quantum gravity. On the other hand, a ‘dual-structure’ test would compare any two different competing theories. The recent three photon observation would be an example of a dual-structure test. Relativity requires that spacetime is smooth and continuous but quantum gravity requires spacetime to be “comprised of discrete, invisibly small building blocks”. This three photon observation showed that spacetime was smooth and continuous down to distances smaller than predicted by quantum gravity. Therefore, suggesting that both quantum foam and quantum gravity maybe in part or whole invalidated, while upholding relativity.

Therefore, the new tests would authenticate or invalidate Ni fields as opposed to quantum mechanics or relativity. That is, it is about testing for structure or principles not for exactness. Of course both competing theories must first pass the single-structure test for exactness, before they can be considered for a dual-structure test.

Is it possible to design a single-structure test that will either prove or disprove that virtual particles are the carrier of force? Up to today that I know of, this test has not been done. Maybe this is not possible. Things are different now. We have an alternate hypothesis, Ni fields, that force is expressed by the spatial gradient of time dilation. These are two very different principles. A dual-structure test could be developed that considers these differences.

Except for the three photon observation, it does not make sense to conduct a dual-structure test on relativity versus quantum mechanics as alternate hypotheses, because they operate in different domains, galactic versus Planck distances. Inserting a third alternative, Ni fields, could provide a means of developing more dual-structure tests for relativity and quantum mechanics with the Ni field as an alternate hypothesis.

Could we conduct a single-structure test on Ni fields? On a problem where all other physicist-engineers (i.e. quantum mechanics, relativity or classical) have failed to solve? Prof. Eric Laithwaite’s Big Wheel experiment would be such a problem. Until now no one has solved it. Not with classical mechanics, quantum mechanics, relativity or string theories. The Big Wheel experiment is basically this. Pivot a wheel to the end of a 3-ft (1 m) rod. Spin this wheel to 3,000 rpm or more. Then rotate this rod with the spinning wheel at the other end. The technical description is, rotate the spin vector.

It turns out that the solution to the Big Wheel experiment is that acceleration a=ωrωs√h is governed by the rotation ωr, spin ωs, and the physical structure √h, and produces weight loss and gain. This is the second big win for Ni fields. The first is the unification of gravitational, electromagnetic and mechanical forces.

How interesting. We have a mechanical construction that does not change its mass, but is able to produce force. If the spin and rotation are of like sense to the observer, the force is toward the observer. If unlike then the force is away from the observer. Going back to the Ω function, we note that in the Ω function, mass has been replaced by spin and rotation, and more importantly the change in the rotation and spin appears to be equivalent to a change in mass. Further work is required to develop an Ω function into a theoretical model.

The next step in challenging the foundations of physics is to replace the mass based Ω function with an electromagnetic function. The contemporary work to unify electromagnetism with gravity is focused on the tensor side. This essay, however, suggests that this may not be the case. If we can do this – which we should be able to do, as Ni fields explain electron motion in a magnetic field — the new physics will enable us to use electrical circuits to create force, and will one day replace all combustion engines.

Imagine getting to Mars in 2 hours.

The How Of Interstellar Travel
But gravity modification is not the means for interstellar travel because mass cannot be accelerated past the velocity of light. To develop interstellar propulsion technology requires thinking outside the box. One possibility is, how do we ‘arrive’ without ‘travelling’. Surprisingly, Nature shows us that this is possible. Both photons and particles with mass (electrons, protons & neutrons) have probabilistic natures. If these particles pass through a slit they ‘arrive’ at either sides of the slit, not just straight ahead! This ‘arrival’ is governed by probabilities. Therefore, interstellar travel technology requires an understanding of how probability is implemented in Nature, and we need to figure out how to control the ‘arrival’ event, somewhat like the Hitch Hiker’s Guide to the Galaxy’s ‘infinite improbability drive’.

Neither relativity nor quantum mechanics can or has attempted to explain probabilities. So what is probability? And, in the single slit experiment why does it decrease as one moves orthogonally away from the slit? I proposed that probabilities are a property of subspace and the way to interstellar travel. Subspace co-exists with spacetime but does not have the time dimension. So how do we test for subspace? If it is associated with probability, then can we determine tests that can confirm subspace? I have suggested one in my book. More interestingly, for starters, can we alter the probability of arrivals in the single slit experiments?

To challenge the foundations of pshyics, there are other questions we can ask. Why is the Doppler Effect not a special case of Gravitational Red/Blue shift? Why is the Hubble parameter not a constant? Can we find the answers? Will seeking these answers keep us awake at night at the possibility of new unthinkable inventions that will take man where no man has gone before?

References
R.L. Amoroso, G. Hunter, M. Kafatos, and Vigier, Gravitation and Cosmology: From the Hubble Radius to the Plank Scale, Proceedings of a Symposium in Honour of the 80th Birthday of Jean-Pierre Vigier, Edited by Amoroso, R.L., Hunter, G., Kafatos, M., and Vigier, J-P., (Kluwer Academic Publishers, Boston, USA, 2002).

H. Bondi, Reviews of Modern Physics, 29–3, 423 (1957). G. Hooft, Found Phys 38, 733 (2008).

B.T. Solomon, “An Approach to Gravity Modification as a Propulsion Technology”, Space, Propulsion and Energy Sciences International Forum (SPESIF 2009), edited by Glen Robertson, AIP Conference Proceedings, 1103, 317 (2009).

B.T. Solomon, Phys. Essays 24, 327 (2011)

R. V. Wagoner, 26th SLAC Summer Institute on Particle Physics, SSI 98, 1 (1998).

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Benjamin T Solomon is the author & principal investigator of the 12-year study into the theoretical & technological feasibility of gravitation modification, titled An Introduction to Gravity Modification, to achieve interstellar travel in our lifetimes. For more information visit iSETI LLC, Interstellar Space Exploration Technology Initiative.

Solomon is inviting all serious participants to his LinkedIn Group Interstellar Travel & Gravity Modification.

The Missing Link, The Ω Function
General Relativity is based on separation vectors. Splitting this separation vector into two equations, gives one part a function of mass and the other a vector-tensor function. This gives rise to the question, can the mass part be replaced by something else say an Ω function, where Ω is as yet undefined but not a function of mass? Maybe the Ω function should be a description of quark interaction, and not mass?

Now it becomes obvious that the theoretical physics community has focused on the vector-tensor part to the complete omission of the Ω function. That is, there is definitely the opportunity to question the foundations of physics.

Looking at the massless equation for gravitational acceleration g = τc², change in time dilation divided by the change in distance is what describes a gravitational field. A small body orbiting the Earth has a certain velocity which can be converted to time dilation. Change the orbital radius of the small body by a small amount, less or more, gives a new orbital velocity and a new time dilation. Therefore, divide this change in time dilation by the change in height and multiply by the velocity of light squared, gives the gravitational acceleration present. The same is with a centripetal motion. Use the velocity along the radius at any two points. Determine the change in time dilation then divide this change in time dilation by the change in radius, the distance between the two points. Then multiply by the velocity of light squared, gives the acceleration present.

The same is true for an electron traveling in a magnetic field, but this cannot be explained without the use of equations. See Solomon 2011 for a detailed explanation. Further, this approach now explains why force is orthogonal to both electron motion and magnetic field. Contemporary electromagnetism cannot explain why other than stating it has to be a vector cross product. Which raises the question, what is the electron doing in the magnetic field? In addition to the arched motion of the electron, does the electron experience rotation? That is, is it rotating with respect to the magnetic field i.e. is the electron orientation locked with respect to the radius of the arch? Or is the electron orientation rotating with respect to the radius of the arch i.e. is the electron orientation locked with respect to the magnetic field? Or is some other orientation function present?

It is important to note that time dilation as a spatial gradient is the key to acceleration and is termed Non Inertia or Ni Field. The Ni field concept is the first major challenge to quantum mechanics in a hundred years. Quantum mechanics states that force is transmitted by the exchange of virtual particles, whereas the Ni field states that it is the spatial gradient of time dilation. Unlike quantum mechanics, the Ni field is able to unify gravity, electromagnetism and mechanical forces.

My Philosophy Behind the New Propulsion Physics
How did I arrive at these discoveries? Let us back up a little. If a 100,000 of the brightest scientist & engineers, over the last 100 years could not solve the gravity modification problem, then the problem is not with the tool users but with the tools. Along this note Space.com has an article Have Three Little Photons Broken Theoretical Physics?, that suggests that some if not all of quantum gravity may be invalidated.

Niels Bohr (I could not find the reference) is reputed to have said that the mathematical equation is all we need to describe the Universe, and explains why theoretical physics has become very abstract (not a judgement). Einstein on the other hand said use your imagination. Both had different approaches to discovery. Both used mathematics as a tool to describe the Universe. But as Prof. Morris Kline describes in his book “Mathematics: The Loss of Certainty”, mathematics has become so sophisticated that it can now be used to prove anything, and therefore the loss of certainty. Ironically it was Einstein who started the search for a unified theory of everything.

How did I avoid trying to prove ‘anything’? By staying close to the experimental data.

One arrives at new hypotheses by breaking old axioms. Some of the axioms are explicit and some are implicit. Two explicit axioms are, a charged particle moving in a magnetic field is equivalent to a point, and all the laws of physics in this Universe are consistent with each other. An implicit axiom would be that the Lorentz-Fitzgerald transformation somehow does not operate on a particle falling in a gravitational field. I show that this is incorrect in my Physics Essays paper.

In my research I chose to explore physical properties that contemporary physics had not, that particles are real physical three dimensional objects. Therefore to answer questions like what would happen to the shape of a particle falling in a gravitational field? Or how would the shape of an electron affect its motion in a magnetic field, if at all? Or how would the distribution of mass within an elementary particle affect its motion in a gravitational field?

To be continued … Part 3 Here

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Benjamin T Solomon is the author & principal investigator of the 12-year study into the theoretical & technological feasibility of gravitation modification, titled An Introduction to Gravity Modification, to achieve interstellar travel in our lifetimes. For more information visit iSETI LLC, Interstellar Space Exploration Technology Initiative.

Solomon is inviting all serious participants to his LinkedIn Group Interstellar Travel & Gravity Modification.

Is interstellar travel possible? I have found that in trying to answer this question, I am forced to challenge the foundations of physics. This question provides a vessel to discuss how to challenge, and if we have found some of the answers, there are still more questions.

The two most important questions in my opinion are, what is force?, and what is the difference between ‘travel’ and ‘arrival’? That is, why do we need to ‘travel’, why can’t we just ‘arrive’?

I started questioning the foundations of physics in 1999. In attempting to answer the question, what is force?, in 2007 I discovered a new formula for gravitational acceleration g=τc² that does not require us to know the mass of the planet or star. τ is the change in time dilation divided by the change in distance. This is an immense discovery, never before accomplished in the 346-year history, since Newton, of the physics of gravitational fields, as all theories on gravity require us to know the mass of the planet or star.

Gerard ‘t Hooft the 1999 Nobel Laureate showed in 2008 that gravitational forces can be present in space even where planets and stars are not. My work goes a step further. We can determine the acceleration present in space without any knowledge of the planets or stars that cause this gravitational field (Solomon, 2011).

A New Schema To Advance Propulsion Physics
Unlike Newtonian gravity or General Relativity, the importance of the shape of spacetime lies in the fact that it informs us of what time dilation and length contraction are, as these two parameters are the minimum information one requires to determine gravitational acceleration. Therefore, the formalism in this essay will be different from that of Newtonian gravity or General Relativity, as a tensor treatment is outside the scope of this essay.

A schema is an outline of a model of a complex reality to assist in explaining this reality. The work of various researchers in the gravity field can be presented by a conceptual formalism referred to as source-field-effect schema. The source-field-effect schema corresponds to the mass-gravity-acceleration phenomenon, respectively.

Puthoff’s (Amoroso et al, 2002) source-field schema describes how the mass source could create a gravitational field; how General Relativity’s curved spacetime could be produced by the polarizability of vacuum in the vicinity of a mass. Rueda & Haisch (Amoroso et al, 2002) source schema is about mass only. They discuss inertia mass, mass as a field and Higgs boson as the origin of mass.

Bondi (1957) suggested the possibility of a field schema not requiring mass. Bondi made two observations when reviewing gravitation as a theory and suggested that mass may not be critical to a theory of gravitation. First, as “long as relativity is considered purely as a theory of gravitation, the inertial and passive gravitational masses do not in fact appear.” This is consistent with the fact that gravitational acceleration (but not force) is independent of the mass of the object being accelerated. His second observation was that “active gravitational mass occurs for the first time as a constant of integration in Schwarzschild’s solution” suggesting the possibility that this constant of integration could have other experimentally untested interpretations.

One could conjecture that mass is a proxy for number of quarks and therefore a proxy for quark interaction as the source of gravitational fields. Bondi did not explicitly say it, but maybe one should look into other mechanisms for gravitational field sources. Hooft (2008) takes another step in Bondi’s direction with his source-field schema. He states that the “absence of matter no longer guarantees local flatness” that the absence of mass does not guarantee that acceleration will not be present. In effect the field is being disengaged from its source. Wagoner (1998) describes a local-field schema, how a gravitational field “emerges from a local analysis” leading to a broad class of metric theories.

Solomon’s (2009) schema proposed a different local analysis, one where local field distortions in spacetime lead to a local particle distortions, and alter the ‘shape’ of the particle causing the center of mass of the particle to shift. This shifting is seen as acceleration g and is governed by g = τc², where τ is the change in time dilation divided by the change in distance across this particle; thereby providing a mathematical solution to Hooft’s (2008) assertion that “absence of matter no longer guarantees local flatness”.

To be continued … Part 2 of this Essay is here.

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Benjamin T Solomon is the author & principal investigator of the 12-year study into the theoretical & technological feasibility of gravitation modification, titled An Introduction to Gravity Modification, to achieve interstellar travel in our lifetimes. For more information visit iSETI LLC, Interstellar Space Exploration Technology Initiative.

Solomon is inviting all serious participants to his LinkedIn Group Interstellar Travel & Gravity Modification.