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The history of electronics is fundamentally a history of manipulating electrons to perform logic and store information. For the better part of the 20th century, this manipulation was governed by a triad of fundamental passive circuit elements: the resistor, the capacitor, and the inductor. These three components defined the landscape of linear circuit theory, relating the four fundamental circuit variables—electric current (i), voltage (v), charge (q), and magnetic flux in specific, pairwise manners. The resistor defined the relationship between voltage and current; the capacitor related charge to voltage; and the inductor linked flux to current.

However, this conceptual framework contained a glaring asymmetry. In the elegance of classical physics, where symmetry often dictates existence, there was a missing link. A mathematical relationship between magnetic flux and electric charge was notably absent from the canonical set of fundamental components. It was this theoretical void that set the stage for one of the most significant, albeit delayed, discoveries in modern electronics: the memristor.

This podcast provides an exhaustive analysis of the memristor’s evolution, tracing its arc from a theoretical postulate in 1971 to its serendipitous physical realisation at Hewlett Packard Laboratories in 2008, and finally to its current status in 2025 as the cornerstone of neuromorphic artificial intelligence. We will examine the critical theoretical expansion of 1976 which bridged the gap between ideal mathematics and physical reality, the specific mechanisms of titanium dioxide and subsequent material innovations, and the contemporary landscape where academic pioneers and commercial entities are leveraging these devices to dismantle the von Neumann bottleneck. As generative AI pushes digital computing to its thermodynamic limits, the memristor has re-emerged not merely as a memory device, but as the fundamental synapse of a new computational era.