We should rethink the relationship between Mathematics and Physics!

and we have a unique point of start:

**"The Universe doesn't know mathematics!"**

Gheorghe Matei

**Question:**

"The basic premise of the quantum reconstruction game is summed up by the joke about the driver who, lost in rural Ireland, asks a passer-by how to get to Dublin".

**“I wouldn’t start from here,”** comes the reply.

** Where, in quantum mechanics, is 'here'?**

Answer:

We should start from 'HERE':

"**The Universe doesn't know mathematics!"**

Gheorghe Matei

It is very important to remember a very old point of view (Descartes 1600):

** “The Universe is written in the mathematical language”. **

Apparently and only apparently, this statement is correct. **But it is wrong.**

** Imagine math as a straight line and **

** physics as music!**

Mathematics has to be seen in three main contexts of work:

** 1. Abstract context**, as it is for mathematicians.

Zero-dimensional point, Straight line, Circle, Square, Equations, y=1/n, z=1/x, Probability theory, Statistics, and so on. All these seem to be perfect and beauty.

Math is a crystal ball of abstractions!

** 2. Practical context**, as it is for engineers.

Bridges, Roads, Machines, Computers, and so on. All these work with a variety of mathematical formulas in strong correlation with standards, security and business. Here we have units of measure, tools for doing all. Here we live and work. Here we use a variety of concepts such as time, energy, speed, value.

**3. Scientific context**, as it is for physicist describing elementary particles or the Universe.

Here we have some very, very special bricks: Elementary particles in motion having specific properties: dimensions, behavior and mystery. Magnetic field, electric field, gravity and interactions. Levels of complexity such as physics, chemistry and biology. Planets, Solar systems, Galaxies, Universe.

In addition, the unique “tool” for seeing inside **‘very small’ **and** ‘very big’**

is our imagination!

To this level (micro and macro) the math became a kind of bureaucracy.

** What is machine learning?**

1. A popular definition originates from Arthur Samuel in 1959:

"Machine learning is a subfield of computer science that gives 'computers the ability to learn without being explicitly programmed.'

In practice, this means developing computer programs that can make predictions based on data. Just as humans can learn from experience, so can computers, where data = experience".

2. "Linear algebra, probability and calculus are the ‘languages’ in which machine learning is formulated. Learning these topics will contribute a deeper understanding of the underlying algorithmic mechanics and allow development of new algorithms."

**3. " I think I can safely say that nobody understands quantum mechanics."**

** (R. Feynman)**

In addition to any source of informatiom about the 'quantum' chapter, you can see:

https://en.wikipedia.org/wiki/The_Emperor%27s_New_Clothes

**My Point of view**

Any type of black box, in any form, is a sum of electric circuits and mathematical algorithms.

The word ‘intelligence’ is only for biological systems. A black box can have informational capacity, but not intelligence.

Machine Learning is a very dangerous concept. We don’t know practically anything about our brain. But we talk about ‘neural network’. Any real model is very, very different. We have a big pleasure: to go rapidly in mathematics and to wait the results. The real systems are analog systems. Without mathematics!

** The real world doesn’t know mathematics. **

Level 5 for autonomous vehicles is a complete hype. Who doesn’t know math+physics+software is for AI+ML. Something rotten (AI + ML+ predicted parameter) could be in Boeing 737 Max MCAS!

**Could ‘mass & field’ duality be the new wave in physics? **

The electricity seems to be a very simple thing we use and know.

But what is an ‘electron’?

An electron could be seen as an elementary particle having **‘mass’ and ‘field’**, as a unique elementary entity.

There is not any ‘charge’ for carrying and there is not any ‘wave’.

**‘Duality’ could refer to ‘mass and field’, not ‘mass and wave’!** The interaction between a magnetic field and electron is based on the field of the electron. ‘Wave’, ‘position’, ‘superposition’, ‘cloud’, etc are some math-effects, and not properties or behavior of the electron.

Any atom could be seen as ‘global mass’ and ‘global field’ as a unique global entity -- the same about any object – including a planet, a star, a galaxy.

What we call ‘gravitation’ is, in fact, the force between any two objects (each one having ‘mass’ and ‘field’).

**What is a magnetic field in a practical experiment?**

Here is a practical experiment for explaining what is a magnetic field.

Two well known facts:

** A**. Imagine a piece of bread and a knife on a table. The knife is near the piece of bread, and the knife doesn’t cut the bread. I take the knife in my hand and cut the bread. The knife is a tool for cutting.

** B**. Imagine an electric circuit having an instrument for measuring the electric current and a magnet near the electric circuit, on the same table. There is not any electric current in the electric circuit. I take the magnet in my hand and move it on the electric circuit. The instrument will show that in the electric circuit is an electric current. Here the magnet is a tool for producing the electric current.

In both cases, my hand was the source of energy for cutting bread or for producing the electric current. The knife and the magnet (the magnetic field as well) are only tools. A magnet has not energy. It is not a source of energy. It is a tool.

Gheorghe Matei

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