I Found a Counterexample Against Kakeya Conjecture
Something is wrong: I found a counterexample against Kakeya conjecture in 2D (n=2): https://www.researchgate.net/publication/390465604_A_Counterexample_Against_Kakeya’s_Conjecture_for_n2 There is a long list of cited articles in the original “2D” “Some remarks on the Kakeya problem” article. So, not wonderful, if something went wrong.
Kakeya Conjecture Proof Sketch
It looks like, I found a way to prove Kakeya conjecture in R^n for arbitrary natural n. The proof uses my theory of funcoids. Here is the rough draft:
My Thoughts from Dependencies of Variables to Faster Than Light Signals
Trillions $$ Math meme token whitepaper
Trillions $$ Math meme token whitepaper $TRLN “Trillions $$ Math” is an unusual BEP-20 meme token. It features not just funny mascots but is issued in honor of a mathematical discovery, ordered semigroup actions and ordered semicategory actions (both are abbreviated as OSA). OSA (discovered very late, in 2019) are as important as group theory […]
Going from Permutation Groups to Spaces-in-General
I’ve found something interesting: Having a permutation group (in a set of permutation groups, such as the set of all (small) Euclidean spaces), we apparently can construct a space-in-general (as spaces are defined in this work): Let $latex \pi$ be a set of permutation groups $\latex G$ (on set $latex M_G$). For spaces such as […]
I forgot about theorem of Newton-Leibniz
I my book discontinuous analysis I forgot about Newton-Leibniz theorem, despite of claiming generalizing an entire Analysis I course for a discontinuous case. The answer is simple: Newton-Leibniz theorem in discontinuous analysis is simply Newton-Leibniz theorem on the space SUPER(X), where X is the base space (such as real numbers).
Stop Crying That Peer Review Doesn’t Work
PhDs, professors, everybody “cries” that peer review doesn’t work well. Professors, you are idiots! There is an easy way to fix peer review, and for this you need only think “We can.”: Found a math article on the Web? Review it and send the signed review letter to the author, for him to link to […]
How We Lost Most of Mathematics
In Israel a very important event happened, but it was unnoticed. In 2019 I discovered ordered semigroup actions (and ordered semicategory actions). I am (almost) the first human who put together these three words “ordered semigroup actions” (there is a decades old article with these words, but there they are no properly defined). There were […]
How to Prepare to An Efficient NP-Complete Algorithm
Previously, I published an article claiming that publishing an efficient NP-complete algorithm would kill mankind in a few months. In this article I will consider this scenario and mitigation in more details. I write this, because I recently self-published and submitted to a prestigious math journal my proof of P=NP (by the way, check it for errors). It […]
A new characterization of complete funcoids
I’ve proved today (the proof is surprisingly simple) that a funcoid $latex f$ is complete, if and only if $latex f\circ \bigcup K=\bigcup_{g\in K}(f\circ g)$ for any set $latex K$ of funcoids. Moreover, $latex K$ can be restricted to only principal funcoids without loss of equivalency. See Algebraic Theory of General Topology.