Short explanations, Synopsis

Singularities are symptoms

A singularity is the point where a theory returns infinity. RSI treats it as evidence of a faulty assumption, and its finite medium produces none.

In any rigorous theory, a singularity is more than an awkward result. It is the point where the mathematics returns an infinite value: a division by zero, a density without bound, a curvature beyond measure. It means the model has been pushed past the limits of its own validity.

General Relativity produces singularities at the center of every black hole and at the moment of the Big Bang. In engineering, an infinite result would send the designer back to the drawing board. In physics, the narrative observes, we learned to live with them and recast them as philosophical puzzles.

Quantum theory has a related difficulty. The energy of the vacuum diverges to infinity unless it is corrected by renormalization, a technique that subtracts infinities to leave finite answers. It works remarkably well. Richard Feynman, one of its architects, still called it "a dippy process" and "hocus-pocus."

RSI calls a singularity "not a discovery" but "a symptom," the theory raising its hand to say it was not built to see this far. The right response is to find the assumption that produced the infinity and correct it.

RSI produces no singularities. In a medium with a finite baseline tension of 0.73 N, no quantity can become infinite. Tension cannot exceed the field's yield strength, and curvature cannot exceed its refractive capacity. The universe, like every physical system, has a yield strength.

From The Eternal Consonance (narrative), IV. The Century of the Symphony No One Could Hear. Read the related section of the paper

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