PRH | Essay | 7.5 • Gravity as Local Information, Quantum as Blur
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We propose a unified, operational bridge between gravity and quantum theory based on an information energetics principle: no free information. Gravity is treated as a local constraint on accessible information density, while quantum theory supplies the irreducible blur that gravity cannot resolve. Attempts to extract arbitrarily precise predictive structure within a finite region require energy that gravitates; beyond a threshold, horizons form, sealing the information behind black holes. In this view, black holes do not break the light-speed limit-they enforce it: you may "know" more locally at the price of losing the ability to communicate it outward. We formalize the tradeoffs with clean bounds (Bekenstein-type information capacity, Schwarzschild collapse criterion, Landauer erasure cost, quantum speed limits), introduce a two-pole envelope for scale (quantum micro-pole and gravitational macro-pole), and state an operational Bridge Principle: you cannot learn inward more finely than information can flow outward. The middle of the scale-space is effectively Gaussian; the extremes act as poles of ignorance.
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