The Window and the Floor

You cannot eat a stone, a language machine relates what is already written, and a living body is the only one of the three that can still produce a difference that was not there. Those three sentences open a short essay written for any reader, The Stone Is Not in Your League. Neither Is the Machine.; this text is the full account behind them, with the models, the physics and the mathematics that support them, with the receipts for what others measured and for what the record of this line of research measured, and with what would make each one false. The account begins before life, with two floors, two ceilings and a grain: fluctuation and the cost of erasing, the rate and the capacity of distinguishing, and the constant that makes states countable. It continues with the origin of every difference: an initial condition of extremely low entropy, a gravity that heats up as it loses energy and lights stars, a nuclear forge whose window closes at iron, and a planet that eats not energy but the difference between one photon at 5,800 kelvin and twenty at 255. The arrow produces local order because it serves global disorder, and that direction is named as a wager. The stone is finished regularity, with no free energy to give. The first cell pays three prices that are still in force in every cell of a body: a proton difference to eat, a boundary, and a copier that buys precision with energy, under an error threshold that sets how much can be inherited. The first question, a bacterium reading a gradient, begins to pay for what it has not resolved, with a receipt measured in ATP and a theoretical bound that no one can lower; the geometry of the unresolved has shape but no destination, and the three defeats that showed it are reported with their figures. The ladder and the window have owners, the league is defined without metaphor, and how a rung is filled is written in four accounts with four units. The animal's alarm is the most expensive of the ways of distinguishing, and the smoke-detector rule calibrates it to go off at almost anything, because in its world a false alarm closed in seconds; faced with symbols that do not close, it becomes the body's currency, and the account of what a fact leaves open is written as an integral. What the ageing clock saw and did not see in eleven hundred people is reported with its figures, and the receipt for the hypothesis that remains is named in the mutations, with the lesion-and-repair model that connects it and the number it predicts before it is measured. The written, the third layer, was born as a receipt, is read by a body at about ten bits per second, and demands tens of thousands of lifetimes. The machine is the mediator of that edge of the window, with its cost paid outside any body, with the criterion and the operational falsifier of its frontier, and with the measured blindness of what it read. The line between the determined and the undetermined runs not through the task but through what each person knows, and the tests of learning with the machine all fall on the same side of that line; from this comes a single instruction for all machines, the size of the calculator rule. The essay closes with what would follow if the line were adopted, named as a projection, with the list of what would kill it, with the answer to three critical readings of the short version, and with the record, test by test, in an appendix.