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 Mar 10 revised What do the modes of fermion fields look like? added 1 characters in body Mar 10 revised What do the modes of fermion fields look like? added 2 characters in body Mar 10 answered What do the modes of fermion fields look like? Mar 10 answered Can an invisible light source cast shadows? Mar 9 revised I don't understand what we really mean by voltage drop added 1 characters in body Mar 9 revised I don't understand what we really mean by voltage drop added 6 characters in body Mar 9 revised I don't understand what we really mean by voltage drop added 4 characters in body Mar 9 revised I don't understand what we really mean by voltage drop added 4 characters in body Mar 9 comment I don't understand what we really mean by voltage drop @oyvey I think this will help. Mar 9 revised I don't understand what we really mean by voltage drop expanded Mar 8 comment I don't understand what we really mean by voltage drop It might help to look at the operation of a voltmeter. If you attempted to measure the voltage in a wire on two points at the same side of a resistor you would see no voltage indication. If you chose points on opposite sides of the resistor, would see a voltage difference. If you wanted to see the voltage in a wire relative to ground, you would put one probe on the wire and the other on a conductive point outside the circuit. As pointed out in several answers, the voltage is a measure of potential, nothing more. Mar 8 comment Tangent bundles and $\mathbb{C}P^n$ and $\mathbb{C}^n$ @dmckee I honestly don't think its developed well enough to be a pure math question, I would probably rather delete than to see it be excoriated by some of the pure mathematicians. If you think it will migrate, I would like the opportunity to delete. Mar 7 answered I don't understand what we really mean by voltage drop Mar 6 answered Layman's method to sharpen a wire (STM-tip) Mar 6 answered Glass pipe cutting Mar 6 revised Can you completely explain acceleration to me? added 3 characters in body Mar 6 revised Can you completely explain acceleration to me? added 579 characters in body Mar 6 comment Tangent bundles and $\mathbb{C}P^n$ and $\mathbb{C}^n$ @Qmechanic I will clarify tomorrow. The thought is concerned with compactified spaces on a manifold. My articulation is still being improved. Tangent spaces have a definite constraint to the number of dimensions as they are directly tied to the underlying manifold. The alternate question that I am trying to understand is if tangent spaces are by definition non-compact, then why not assume spacetime is not a tangent space to some compactified manifold? There are math elements, but I am considering in context of a string theory. Mar 6 revised Can you completely explain acceleration to me? added 198 characters in body Mar 6 awarded Nice Answer