MATTER AS A FIELD. “Some of the most distinctive characteristics of matter, at least as idealized by the mechanical philosophy of the seventeenth century—such as impenetrability and continuity— turn out to be only apparent; and others, such as massiveness, turn out to be shared with invisible fields that extend in ‘empty space’ arbitrarily far from their sources. Further, matter itself has come to be treated as a field, and this involves being represented mathematically by an assignment of a mathematical object—at its simplest: an item like a real number, or a vector, or a matrix—to each point of space or spacetime.”
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