The Qi-4 Pillars

Abstract

Everything that stays itself has to pay for it. A cell, a flame, a spectrometer, a galaxy: each holds a pattern in place by taking energy in at one boundary and letting it out at another. Physics has been able to price the energy for a century and a half. It has never had a price for the information. This paper sets one. On the boundary of the six-dimensional bulk there are four currents rather than three — energetic, electric, baryonic, informational — and an elementary event does not spend them independently. It spends all four at once, in one fixed proportion, so that four ledgers are one ledger read in four currencies. The exchange rate between energy and information is a single constant, Q_B ≈ 0.1555 eV per qubit. It is not fitted: it is the Rydberg energy divided by a ledger integer fixed upstream, scaled by an anomaly coefficient, with nothing adjustable in the chain. Life is where it can be checked, because life runs on one molecule. The bond ATP breaks carries two of these quanta, and 2Q_B = 30.0 kJ/mol stands against a measured 30.5 ± 0.5 — agreement to 1.6 per cent. Three pillars follow. One shows that least time in optics, maximum entropy production in thermodynamics and the free-energy principle in neuroscience are one principle read three ways. One predicts a 1/f band bounded by two knees rather than one unbounded slope, and says what sets each end — a claim that can fail where a bare power law cannot. One shows that anything holding a memory longer than a single act-and-look cycle falls into a definite architecture, whatever it is made of. Each pillar is handed an experiment that can end it. Together the four are the certificates carried by the configuration where the geometric descent halts. They describe that configuration; they are not the instrument that found it, and the converse is left open rather than claimed.