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To achieve interstellar travel, the Kline Directive instructs us to be bold, to explore what others have not, to seek what others will not, to change what others dare not. To extend the boundaries of our knowledge, to advocate new methods, techniques and research, to sponsor change not status quo, on 5 fronts:

1. Legal Standing. 2. Safety Awareness. 3. Economic Viability. 4. Theoretical-Empirical Relationship. 5. Technological Feasibility.

From Part 1 … “that mathematics has become so sophisticated and so very successful that it can now be used to prove anything and everything, and therefore, the loss of certainty that mathematics will provide reasonability in guidance and correctness in answers to our questions in the sciences”.

We need to note that there are several different relationships between the mathematics of physics and the physics of the real world.

The first relationship and most common type is that several different types of equations in physics describe the same physics of the world. Gravity is a great example. The three mathematical theories on gravity are relativity, quantum and string theories. All three model the same single physical phenomenon, gravitational fields. So if one is correct than the other two must be wrong. All three cannot be correct. So which is it?

Just for argument sake, there is another alternative — all three are wrong. But wait didn’t all those experiments and observations prove that General Relativity is correct? Remember for argument’s sake, that proving that something fits the experimental observation does not mean that is how Nature works. That is why theoretical physicists spend so much time, money and effort considering alternatives like quantum and string theories.

The second relationship is that different mathematical descriptions can be ascribed to different parts of a physical phenomenon. For example Einstein’s General Relativity describes spacetime as tensor calculus, a very complex mathematical model which he did not get right on his first attempt. General Relativity addresses the question of gravity’s source as an energy-momentum tensor. To put it simply, these equations are complex.

Whereas in my work I realized at some point during my investigation into gravity modification, that to develop technologies that could modify gravity we needed a mathematical equation (g=τc2) that would describe the phenomenon of gravitational acceleration without needing to include mass. I discovered this equation, g=τc2, after very extensive numerical modeling of gravitational accelerations in spacetime, where tau, τ is the change in time dilation divided by change in distance (for more look up my Physics Essays paper, “Gravitational Acceleration Without Mass And Noninertia Fields”). Consider how elegantly simple this equation is and without mass we can now replace the source with something more technology friendly.

And the third type of relationship is the mathematics of physics that cannot or cannot yet be verified with experimental evidence. String theories are great examples of this. From what I know, there is nothing in the string theories (which have not been borrowed for quantum mechanics) that is experimentally verifiable. And yet we go on. Why?

Consider this. The experimental evidence proves that nothing with mass can be accelerated past the velocity of light (aka Lorentz-Fitzgerald transformations), and yet Dr. Eric Davis agrees with Dr. Richard Obousy that using string quantum theory that the maximum velocity one can reach is 1032 x c (100,000,000,000,000,000,000,000,000,000,000 x velocity of light). Now what would you believe, experimental evidence or mathematical conjecture?

Now, do you agree that that mathematics has become so sophisticated and so very successful that it can be used to prove anything and everything, and therefore, the loss of certainty that mathematics can provide reasonability in guidance and correctness in answers to our questions in the sciences?

Don’t get me wrong. Mathematics is vital for the progress of the sciences, but it needs to be tempered with real world experimental evidence, otherwise it is just conjecture, and retards our search for interstellar travel technologies.

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.

To achieve interstellar travel, the Kline Directive instructs us to be bold, to explore what others have not, to seek what others will not, to change what others dare not. To extend the boundaries of our knowledge, to advocate new methods, techniques and research, to sponsor change not status quo, on 5 fronts:

1. Legal Standing. 2. Safety Awareness. 3. Economic Viability. 4. Theoretical-Empirical Relationship. 5. Technological Feasibility.

In Part 1 of this post I will explore Theoretical-Empirical Relationship. Not theoretical relationships, not empirical relationships but theoretical-empirical relationships. To do this let us remind ourselves what the late Prof. Morris Kline was getting at in his book Mathematics: The Loss of Certainty, that mathematics has become so sophisticated and so very successful that it can now be used to prove anything and everything, and therefore, the loss of certainty that mathematics will provide reasonability in guidance and correctness in answers to our questions in the sciences.

History of science shows that all three giants of science of their times, Robert Boyle, Isaac Newton & Christiaan Huygens believed that light traveled in aether medium, but by the end of the 19th century there was enough experimental evidence to show aether could not be a valid concept. The primary experiment that changed our understanding of aether was the Michelson–Morley experiment of 1887, which once and for all proved that aether did not have the correct properties as the medium in which light travels.

Only after these experimental results were published did, a then unknown Albert Einstein, invent the Special Theory of Relativity (SRT) in 1905. The important fact to take note here is that Einstein did not invent SRT out of thin air, like many non-scientists and scientists, today believe. He invented SRT by examining the experimental data to put forward a hypothesis or concept described in mathematical form, why the velocity of light was constant in every direction independent of the direction of relative motion.

But he also had clues from others, namely George Francis FitzGerald (1889) and Hendrik Antoon Lorentz (1892) who postulated length contraction to explain negative outcome of the Michelson-Morley experiment and to rescue the ‘stationary aether’ hypothesis. Today their work is named the Lorentz-Fitzgerald transformation.

So Einstein did not invent the Special Theory of Relativity (SRT) out of thin air, there was a body of knowledge and hypotheses already in the literature. What Einstein did do was to pull all this together in a consistent and uniform manner that led to further correct predictions of how the physics of the Universe works.

(Note: I know my history of science in certain fields of endeavor, and therefore use Wikipedia a lot, not as a primary reference, but as a starting point for the reader to take off for his/her own research.)

Previous post in the Kline Directive series.

Next post in the Kline Directive series.

—————————————————————————————————

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.