## Subtraction without Negative Numbers.

No one has ever shown me a negative wave because there are no negative waves. The usual argument supporting negative numbers is that subtraction has to create negatives. I don’t agree. It is not that I do not believe in subtraction in the form of transferring things between people or entities. If I have 5 apples you can easily take 3 and leave me with 2. We both end up with a positive number of apples. You could even plant an apple tree and give me some apples back in a few years, creating new apples. The apples might fall from the tree and rot away to nothing, but could they rot away to a negative apple? I do not think so.

The point is that you can have subtraction without introducing negative numbers. This is why accountants introduced double entry bookkeeping.

## Quantum Programming and Tennis and No Negative Waves.

During the lockdown, I could not play tennis as for some unknown reason the government of Ireland considered playing non-contact sports outdoors as dangerous. The government practiced negative thinking that contradicted the science at that time. I was not pleased. As tennis is clearly the closest sport to quantum programming, I decided to spend my spare time looking at quantum computing.

Wave theory is the basis of quantum programming. In wave theory, waves can interfere with each other. If the waves are perfectly synchronised, the resulting combination of waves will be bigger. The size of the resulting wave, known as the amplitude of the wave, will be the sum of the two waves’ original sizes. This is a form of addition and I like to consider it as a meeting of waves. If the waves are not synchronised, then the size of the resulting wave will relate to the two original waves’ sizes. The resulting wave can be totally flattened and disappear, but it can never become negative. This is how noise-cancelling systems work. They generate sound waves that are out of phase with the ambient noise and so reduce the size of the ambient noise waves.

This is another example showing that you cannot find negative waves. Sure, you have addition and subtraction, but no negative.

## Science Checklist.

The Science Checklist states that mathematics is not a science and does not depend on confirmation from the natural world. It complements the sciences and supported great advances in our understanding of the natural world. It does not rely on the scientific method of observation, hypothesis, testing and analysis. Instead, it relies on basic axioms or unproven first principles. Proofs are based on deduction rather than testing. These first principles allow for negative numbers. It is time to question these first principles with relation to negative numbers.