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road to reality -> Complex -> Quarternions -> Octanions
https://g.co/gemini/share/3f1365c79b7f
At the heart of modern physics lies a profound and often underappreciated truth: the language of reality, at its most fundamental level, appears to be written not in the familiar real numbers of everyday experience, but in the elegant and enigmatic algebra of complex numbers. For Sir Roger Penrose, this is no mere mathematical convenience; it is a deep ontological statement about the nature of the universe. His work is a testament to a lifelong conviction that complex numbers are not a human invention but a discovered feature of a pre-existing mathematical world. This perspective, rooted in a philosophy of mathematical Platonism, has driven him to seek theories where the complex structure is not an afterthought but the very foundation from which space, time, and physical law emerge. The most compelling evidence for this worldview comes from quantum mechanics, a theory that is utterly incoherent without the complex plane. From this quantum mandate, Penrose builds his most ambitious proposal, twistor theory, in an attempt to reconstruct all of physics from the ground up, starting with the primacy of complex geometry
Published on 2 months, 2 weeks ago