How to seek for a new paradigm in science

Abstract

The main task of science is to try to describe the world around us and inside of us by means of some logically interconnected terms. The fundamental tool in this task is a vision of the world we try to describe. But what does it mean, to have a vision of our world? It means to have postulated a “background picture” of the scientific paradigm.
As an example of the visionary power of the new paradigm of the 21st century we present for the first time here the spiral structure of the periodic system of chemical elements revealing its connection to Fibonacci sequence of numbers.

What is a paradigm in science and how it can be changed?

The main task of science is to try to describe the world around us and inside of us by means of some logically interconnected terms. The fundamental tool in this task is a vision of the world we try to describe. But what does it mean, to have a vision of our world?

Before we are able to solve the main scientific task, we have to imagine to ourselves how the „real“ world could be „constructed“ and functioning. However, we cannot really know what is real and what is just an illusion in our world. And we cannot really know in which way the world came into existence or – in other words – has been constructed or created. We can only imagine all these things and we can simply believe that our imagination is not far from truth.

A scientific paradigm is just such a preliminary vision of the world we are living in.

Although our paradigm contains a „picture“ of the whole world around us and inside of us, we have no possibility to prove its coincidence with this world in a single step of comparison. We have to solve our problem in smaller steps, like in the puzzle solving process. We have to choose a proper form of the „puzzle elements“ available in our present science and try to cover with them the picture of our paradigm. Each of the „puzzle elements“ is filled with a partial theory describing a specific property of our world. Joined together they give us a temporary description of this world, or at least a great part of it. The actual situation during the 20th century could be imagined as in the top picture below. The covering of the paradigm (the background picture) was already pretty well. But our feeling was growing stronger and stronger that this form of the „puzzle elements“ cannot cover the paradigm completely. Either we have produced too much of such elements or their form was not compatible with our task, or both of them.

In order to change our scientific paradigm we have to change the „background“ vision of our world.

Then it becomes clear that no one of the old „puzzle elements“ can be reused in the new solution. The new vision requires a new form of such elements. The only part of the old solution of our task is the experience we have won hitherto, the ideas how the world could be functioning. The most important example of the experience of the 20th century is the knowledge that the world (the whole Universe) seems to be quantized.

The new paradigm, the new background picture, suggests that we have to find one central „puzzle element“ inside of the new vision. And the form of all remaining „puzzle elements“ has to be completely different from the previous one, as shown in the lower picture here below.

Paradigm change in 21st century
(click on the picture for enlarged version)

It should be clear now that nobody trying to use one of the old theories („puzzle elements“) in an unchanged version can be successful in solving the new paradigm of the 21st century.

It is possible to give some general tips for solving any new paradigm task in science. Here are ten tips based on the tips by Conor Murphy, an expert in puzzle solving.

1. Have a Plan
Before you dive into a task, it’s always a good idea to stop and think about the new vision of the world. Instead of taking a wild stab at the „puzzle elements“, see if you can identify a good strategy that will help you approach the paradigm in a way that will lead to a quick solution.

2. Don’t Over Think
If you find yourself thinking you need to use advanced mathematics to solve the task, you’re probably overdoing it. While some „puzzle elements“ can be tricky, they very rarely require advanced computational skills. Nature does not use advanced mathematics.

3. Look for Patterns
Sometimes a repeating pattern can lead to a solution. Rather than look for a complicated series of steps, try looking for a pattern. Moreover, by recognizing patterns of movement, you will be able to move pieces and know how this movement will affect the covering of the „background picture“.

4. Group Items
Sometimes it’s helpful to look for ways to group objects in a „puzzle“. Perhaps you notice there are only two types of objects in the picture (matter and spirit is a good example). What happens if you put them together? Try grouping items based on common characteristics.

5. Check Your Inventory
What are you „carrying“? In many games you collect objects as you play through the game. Do you have something in your „library“ that can help you solve the task? Check to see if the key to the „puzzle“ is hidden on you!

6. Work Backwards
Working backwards is a common technique you may remember from childhood maze puzzles. If you know where the end or the center of the „puzzle“ is, start there and work through the steps in reverse order to find the beginning.

7. Take Notes
Often, it takes many different attempts to solve a task. To prevent yourself from repeating failed attempts, try taking notes. This is also a very handy technique when you find yourself in a maze situation. Don’t waste time trying to remember your movements. Grab a piece of paper and a pencil and start recording each step you take.

8. Don’t Give Up
This solving tip sounds kind of silly, but we often hear people insist certain solutions are “impossible” or “broken”. Not true! The perfectly functioning Nature make sure that any reasonable paradigm change can indeed be solved.

9. Guess and Check
This is a classic technique many learn in grade school mathematics courses. While it may not be very efficient or reliable, sometimes it’s all you have to work with. One nice thing about this technique is the low level of effort it requires. It can be a great way to relax your mind. Moreover, isn’t a fantastic when it actually works?

10. Open Science Academy
If you feel like you just need to know the answer, try posting a question on this website of the Open Science Academy. You’re bound to get an answer quickly from another „player“.

An example of the new-paradigm thinking:

The Spiral Structure of the chemical elements table

As an example of the possible results of a search after a new solution according to the above tips see the new spiral version of a structure of the periodic system of chemical elements (after the Polish Wikipedia list of the elements mass density).

spiral system of chemical elements
(click on the picture for enlarged version).

Note 1: According to our Unified Physics, the mass density is the reciprocal quantity to the energy density.

Note 2: In the mainstream physics such a discovery would be surely honoured with the Nobel Prize in physics or chemistry. In the new paradigm of science it is just an example of the enormous innovation power.

Note 3: For a visualization of the connection between the Fibonacci sequence and a spiral click here.

4. What is a paradigm in science and how it can be changed?
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