Negative thinking and computing.

 Negative thinking and computing. 

Vectors and inverse matrixes are ultimate combinations. 

When engineers are thinking about problems, they should think through a problem. The idea is similar to vector calculations in mathematics. The idea is the opposite of the regular way, where people try to go from point A to point B by following the shortest route. 

A typical vectorial way to think about things is this: the teacher wants to walk from the house's door to the car across the yard, and during that journey teacher will get a snow shower from the warehouse. The idea is that we can go from point A to point B through point C. The journey is longer but it's still a journey from point A to point B. 

In data security, the vector model means that the sender system can send the cipher key into different routes or at different times for receivers. The idea is that once a day the server system sends the list of decryption algorithms to receivers. Then before the message the server sends code to the receiver which decryption keys it must use in the message. 

The receiver can get that number in physical form. The number of active optical fibers in the light cable can tell what decryption key the receiver must use. The quantum system can also use forms which means optical fibers must form certain images so that the receiver can find the right decryption key. 

So why don't we think "what something is not"? 

Negative thinking in computing means that the system thinks "What object is not"? Positive thinking means that the system simply thinks. That the "object is". 

The ability to eliminate impossible things is a key element in the AI. But sometimes people do not think. They should also ask, "Why something is impossible"? Is the thing that makes something impossible only that nobody has tried or has written about that before? Or is something impossible because nobody invests money in it? 

The negative way to close and handle problems helps to find weaknesses in models. And also find new corners and new dimensions from the object. A negative way to close problems helps to find new ways to handle them. '

Above: Inverse Matrix (QuantaMagazine/Alan Turing and the Power of Negative Thinking)

Inverse matrix and cryptology. 

Alan Turing's idea of negative thinking is the opposite or inverse matrix. The inverse matrix is the tool that helps to calculate formulas and calculations backward. This thing helps in error handling. The inverse matrix is the tool that also decrypts information. In the encryption process, the cipher key will count binary numbers to encrypt the ASCII code. And that thing makes computers unable to open the message without a decryption key. In the decryption process receiving system calculates those encyption calculations backward. 

These encryption systems are necessary for things like GSM (5G,6G...) type of communication. The idea is that devices open only data packets that senders marked by a certain number series. That allows to send information into multiple systems at the same time by using the same frequency. 

The inverse matrix is one tool that cryptologists use when they try to break computerized codes. So they try to get the decryption algorithms in their hands. An inverse matrix is simple to model in binary systems. 

Matrix

11110001110011...

Inverse matrix

00001110001100...

So as you see, zeros and ones have just changed their place. And this thing makes computers possible to crack the code. The quantum system is hard to crack because there is also a physical part in the system, and even a virtual quantum system is hard to crack. 

The quantum random number generators are tools that make information transportation safer. If information travels in the light cable the random number generator can random how many and which optical fibers the system uses in data transportation. In the place of optical fiber could be the group of radio frequencies or the signal strength also can be the key that the receiving system uses. 

In the simplest models if the signal's strength is wrong. The receivers simply route it into the zero gate and crush it. The changing single strength can make it possible for the signal to act like a physical key. The changes in the signal's power are acting like groove depths in the physical key. 

Quantum communication, the system cuts information into pieces by using TCP/IP protocol-type protocols. And then it sends information pieces through different routes. 

So that means even if one route is dangered because of the eavesdrops those operators cannot get the full message. The optical fibers in the optical cable can form a certain form that is like a laser key. And that form activates certain inverse matrices that the receiving system can use for decrypting messages. 

https://www.quantamagazine.org/alan-turing-and-the-power-of-negative-thinking-20230905/

https://scitechdaily.com/better-cybersecurity-with-a-new-quantum-random-number-generator/

Images: 

https://www.quantamagazine.org/alan-turing-and-the-power-of-negative-thinking-20230905/