https://hackerpaper.kaipfister.de/p/0907.0909/Collected HN comments and submissions linking this paper.enMon, 02 Nov 2026 11:16:22 GMThttps://news.ycombinator.com/item?id=45899600urn:hackerpapers:mention:0907.0909:45899600Wed, 12 Nov 2025 12:59:36 GMT<p>Related: https://www.mdpi.com/2673-9984/3/1/9 &quot;our knowledge of quantities is necessarily accompanied by uncertainty. Consequently, physics requires a calculus of number pairs and not only scalars for quantity alone. Basic symmetries of shuffling and sequencing dictate that pairs obey ordinary component-wise addition, but they can have three different multiplication rules. We call those rules A, B and C. “A” shows that pairs behave as complex numbers, which is why quantum theory is complex.&quot; https://arxiv.org/abs/0907.0909 &quot;the complex nature of the quantum formalism can be derived directly…</p><p><a href="https://hackerpaper.kaipfister.de/p/0907.0909/">Paper and discussion history</a>. A mention is not an endorsement.</p>quant-phhttps://news.ycombinator.com/item?id=45850658urn:hackerpapers:mention:0907.0909:45850658Fri, 07 Nov 2025 20:25:25 GMT<p>&gt; We “simulate complex numbers by means of real numbers,” What a breakthrough! ---- Related: https://www.mdpi.com/2673-9984/3/1/9 &quot;our knowledge of quantities is necessarily accompanied by uncertainty. Consequently, physics requires a calculus of number pairs and not only scalars for quantity alone. Basic symmetries of shuffling and sequencing dictate that pairs obey ordinary component-wise addition, but they can have three different multiplication rules. We call those rules A, B and C. “A” shows that pairs behave as complex numbers, which is why quantum theory is complex.&quot;…</p><p><a href="https://hackerpaper.kaipfister.de/p/0907.0909/">Paper and discussion history</a>. A mention is not an endorsement.</p>quant-ph