Toppling the Math Idols: Uncovering Parallel Transport Within the Riemann Tensor

Curved grid surface with arrows marking loop segments A, B, C, and D

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A famous 17th century defender of the newly emergent Scientific Revolution, Francis Bacon in his 1620 book Novum Organum also warned about the four main ways that we can obstruct truth. One of these obstructions is called the "Idols of the Marketplace," which is how our imprecise and deceptive use of language may blind us. … Continue reading Toppling the Math Idols: Uncovering Parallel Transport Within the Riemann Tensor

Rolling the Dice: A Derivation of Schrodinger’s Equation from the Wave Equation

Featured ~ Josh Fialkow ~ 1 Comment

The quantum world reveals an astonishing truth: light, electrons, and indeed all matter in the universe — including ourselves — are described by mathematical wavefunctions that represent the probabilities of finding each particle in a particular location. These wavefunctions remain spread out until a measurement or interaction with the environment, which causes them to entangle with the environment, destroying observable interference and yielding a discrete location for the particle.