WHOLE NUMBER SEQUENCES AND QUANTUM REALITY 1,2,3,… Infinity!!!

1=1

1+2=3

3²+4²=5²

3³+4³+5³=6³

Using a common analogy, one might say that science and technology as we know them today constitute just the tip of the iceberg. Approximately 90% of an iceberg floating in the ocean is beneath the surface. Today’s science has been looking only at the tip of reality; most of it is hidden. But, like most analogies, this analogy is not perfect. Most of today’s science is based on and limited to materialistic concepts. If the sum total of today’s scientific knowledge is the tip of an iceberg, physical reality is the rest of the iceberg, plus all the oceans of the world. As we shall see, simple math shows us that reality is much more than that which has weight and takes up space.

In fact, it has been proved mathematically that reality is infinite.

The mathematics used by scientists today has, as its most important system of logic, ‘the calculus’ of infinitesimals which was developed by Leibniz and Newton, about 350 years ago. Almost all of our detailed understanding of physical reality and the resulting technology we have today, employs ‘the calculus’, but the calculus of Newton and Leibniz simply does not work at the quantum level. Why? Because it depends on the assumption that reality can be divided into ever smaller bits. This is not actually the case. We have known for more than 70 years that we exist in a quantized world. There is a smallest bit, beyond which no division is possible. The calculus works as well as it does only because that smallest bit is so much smaller than anything we can directly measure, that for the purposes of building things from skyscrapers to microscopic electronic circuits, the error is not significant. But for describing quantum phenomena, the calculus is totally inappropriate and leads to much of the confusion that causes scientists to think that quantum experiments produce weird results.

Max Planck, who discovered the fact that we live in a quantized universe, said: “Science advances from funeral to funeral!” meaning that scientists, like most people, get locked into a paradigm, - a way of thinking, and cannot see beyond it. Right now, they can’t seem to see beyond the calculus and binary logic. But in order to begin to investigate the rest of the iceberg, we have to go beyond the calculus and binary logic.

Binary logic is the basis of a mathematical system called Boolean algebra and today’ computers are simple binary computing machines. Again, this has been sufficient for today’s technology for the most part, but, like the calculus, it is inadequate to deal with quantum phenomena and the inclusion of consciousness, which quantum physics demands. What does work, is the Calculus of Distinctions and triadic logic. They are basic to the Close-Neppe paradigm. But, you may think, if I don’t understand the calculus of Newton, how can I expect to understand a new calculus and logic? Fortunately they are more basic than ‘the calculus’ and binary logic, and easier to understand!

OK. With that intro, we are ready to start. Contemplate the symmetrical sequence of equations above and below. They are known as Diophantine equations (after the Greek mathematician Diophantus). Notice that they progress from I to 3 dimension-wise (indicated by power: a 2D area is an integer squared, a 3D volume is an integer cubed. All symmetric particles are volumetric.

1=1                 =1

1+2=3             =3

3²+4²=5^{2          =25}

3³+4³+5³=6^{3    =216}

NUMBERS

THE WHOLE NUMBERS AND THE STRUCTURE OF REALITY

Dr. Vernon Neppe and I are amazed almost daily with the results of applying TRUE analysis (defined in the posts of this blog) to quantum physics and relativity. Those results include answers to questions that have puzzled scientists for years. But, if that weren’t enough, in addition, we see an increasing number of numerical patterns emerging. The reason for this is the fact that mathematics is not just a tool invented for the purpose of calculation, the logical structure of mathematics actually reflects the multi-dimensional structure underlying physical, mental and spiritual reality. Why does TRUE analysis reveal more of the patterns and structure of reality than conventional math and science? Because the reality available to our senses for observation and measurement is quantized; i.e., made up of whole numbers of quanta of mass, energy and a third form of the substance of reality; and TRUE analysis is based on the normalization of observation and measurement to the smallest possible quantum unit, the Triadic Rotational Unit of Equivalence.

Normalization simply means setting that smallest possible unit of equivalence equal to one, so that all observations and measurements in a quantized world are whole number multiples of that unit. Exactly how this minimum TRUE unite was discovered and defined is detailed in our paper “PUTTING CONSCIOUSNESS INTO THE EQUATIONS OF SCIENCE: THE THIRD FORM OF REALITY (GIMMEL) AND THE “TRUE” UNITS (TRIADIC ROTATIONAL UNITS OF EQUIVALENCE) OF QUANTUM MEASUREMENT” published in the IQNEXUS Magazine, and being posted in installments on this blog. In this post I will focus on the relationship of integer (whole number) numerical patterns to the observation and measurement of reality.

Numerical Patterns

Meaningful numerical patterns are what make music and poetry pleasing. Certain patterns of sight and sound strike a chord in our souls because they reflect the order and logic of reality. A very important example of numerical patterns is the Periodic Table of Elements. The very nature of different physical substances, like solid, liquid or gaseous, weight, color, taste, texture, nutritive or toxic, in short, everything that makes up the physical world we experience, depends upon specific patterns of numerical sequences of combinations of elementary particles. Triadic sequences, e.g. of equal numbers of electrons, protons and neutrons, make up the basic elements Carbon, Hydrogen, Oxygen, Sulfur, Nitrogen, etc. the patterns of living organisms. Identifying such numerical patterns is the basis of mathematics and science, and the ability to do so is the basis of human intelligence.

Because of this, IQ tests, in addition to testing your vocabulary and challenging your ability to verbalize objects in 3-D, always include problems that test your ability to identify numerical patterns. That is why you see questions like: “What is the next number in the sequence 2, 4, 6 …?”  Of course, you are expected to recognize this as the sequence of ‘even numbers’ and respond with ‘8’. And, for the sequence 1, 3, 5 …? You will respond ‘7’. These are easy, but tests of your ability to recognize numerical patterns can get much more difficult. What if you are confronted with the sequence 1, 2, 3, 5, 7 …?

I’ve chosen this sequence to make a point: If you see this as the sequence of prime numbers (prime numbers are numbers that are only divisible by themselves and 1), then the correct answer is ‘11’. But if you see it as a sequence of sequences of three numbers with differences increasing by one with each sequence: 1, 2, 3, 5, 7, 9, 12, 15, 18 … the correct answer is ‘9’. So, sometimes there can be more than one correct answer. While still in high school, I became famous, or maybe more aptly, infamous, by correcting errors my teachers made, and by finding errors in the ‘answers’ in the back of text books. The ability to point out errors made by authorities has gotten me into trouble more than a few times! The point, however, is that the designer of a test must be at least as intelligent as the most intelligent person taking the test, or the resulting score  may be wrong. I’ll relate some of my personal experiences with test taking at the end of this post for anyone who might find them interesting or amusing.

What if I presented you with the sequence 0, 108, 27648 … and asked you to supply the next number in the sequence? The most likely response would be “How the (expletive deleted) should I know? But this is a legitimate, logical sequence with a real answer that turns out to have relevance in the TRUE analysis of the natural elements. I was going to give you the answer, i.e. the next number in the sequence 0, 108, 27648 … but I think I’ll wait and see if anyone can come up with it.

HINT: what are the prime factors of 108?