prof. dr hab. Marek Czachor
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A Loophole of All ‘LoopholeFree’ BellType Theorems
Bell’s theorem cannot be proved if complementary measurements have to be represented by random variables which cannot be added or multiplied. One such case occurs if their domains are not identical. The case more directly related to the Einstein–Rosen–Podolsky argument occurs if there exists an ‘element of reality’ but nevertheless addition of complementary results is impossible because they are represented by elements from different...

NonDiophantine Arithmetics in Mathematics, Physics and Psychology
For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many nonEuclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications...

NonNewtonian Mathematics Instead of NonNewtonian Physics: Dark Matter and Dark Energy from a Mismatch of Arithmetics
Newtonian physics is based on Newtonian calculus applied to Newtonian dynamics. New paradigms such as ‘modified Newtonian dynamics’ (MOND) change the dynamics, but do not alter the calculus. However, calculus is dependent on arithmetic, that is the ways we add and multiply numbers. For example, in special relativity we add and subtract velocities by means of addition β1⊕β2=tanh(tanh−1(β1)+tanh−1(β2)), although multiplication β1⊙β2=tanh(tanh−1(β1)⋅tanh−1(β2)),...
Obtained scientific degrees/titles

20111103

20000619
Obtained science degree
dr hab. Physics (Physical sciences)Wydział Fizyki Uniwersytetu Warszawskiego 
19940526
Obtained science degree
dr Physics (Physical sciences)Instytut Fizyki PAN
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