Author Archives: slehar

About slehar

I write books and papers on theories of perception and consciousness based on the general insight that our experience takes the form of a spatial structure, and a spatially structure implicates a spatially structured representation in the brain. I propose it occurs by harmonic resonance, or patterns of standing waves in the brain. The brain works more like a musical instrument than as a digital computer. [ Header art adapted from nOzem's Salvia Smoke Mandala http://n0zem.deviantart.com/art/Salvia-Smoke-Mandala-01-155604791 ]

Geometric Algebra: Conformal Geometry

This is the third and final chapter in my Visual Introduction to Clifford Algebra, following on from Chapter 2 on Projective Geometry in Geometric Algebra. In Chapter 2 we showed how the perspective projection provides a wonderful means for projecting an … Continue reading

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Geometric Algebra: Projective Geometry

The first chapter in this series, Clifford Algebra: A Visual Introduction, presented a brief history of the incremental discovery of algebra, culminating in the discovery of Clifford Algebra, the algebra that subsumes them all, because Clifford Algebra is not just another … Continue reading

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Clifford Algebra: A visual introduction

Clifford Algebra, a.k.a. Geometric Algebra, is a most extraordinary synergistic confluence of a diverse range of specialized mathematical fields, each with its own methods and formalisms, all of which find a single unified formalism under Clifford Algebra. It is a unifying … Continue reading

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Learn some unix Mac user!

A short hands-on introduction to the concept of unix for the Mac user. Hey, Mac user. Did you know that there is a foundation of Unix underneath your Mac OSX operating system? Unix? What’s that? Unix was an important part … Continue reading

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Experience the Transcendent Moment of Cosmic Consciousness

In his book This Is It: and Other Essays on Zen and Spiritual Experience (1958) Alan Watts discusses the experience of “cosmic consciousness” reported “from all historical times and cultures, of the same unmistakable sensation emerging, as a rule, quite … Continue reading

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The World In Your Head

Look into a bright light bulb or a camera flash, then look away and examine the after-image. What is it exactly that you are looking at? It is a patch of color due to saturation of the retina by the … Continue reading

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