Newcomb's Paradox in decision theory and the quantum measurement problem in physics have been treated as unrelated for sixty years. They share an anatomy. In each, two outcomes are correlated, the standard framing omits the shared cause that produced them, and the omission is what manufactures the paradox. Restoring the cause dissolves it. The shared cause is a physical thing, not a mental one, which is why the same move reaches both problems. In Newcomb's case it is the history of contact that shaped both the Predictor's accuracy and the Player's disposition; the accuracy stipulated in the puzzle is a calibration record the decision-theory literature mistook for a free parameter. In the quantum case it is the preparation that stamped both particles. Two correlated records, one upstream source, every causal arrow running forward in time. The tools come from Miximin Decision Theory, developed in The Miximin Order. The standard quantum formalism is left untouched: what dissolves is the appearance of backward causation and spooky action, not the arithmetic. Bell's theorem stands, and the assumption it costs is identified. The quantum probabilities are left open as a real question, separated from the paradoxes they have been filed with. William Newcomb, who invented the puzzle, never published it.
Newcomb's Paradox in decision theory and the quantum measurement problem in physics have been treated as unrelated for sixty years. They share an anatomy. In each, two outcomes are correlated, the standard framing omits the shared cause that produced them, and the omission is what manufactures the paradox. Restoring the cause dissolves it. The shared cause is a physical thing, not a mental one, which is why the same move reaches both problems. In Newcomb's case it is the history of contact that shaped both the Predictor's accuracy and the Player's disposition; the accuracy stipulated in the puzzle is a calibration record the decision-theory literature mistook for a free parameter. In the quantum case it is the preparation that stamped both particles. Two correlated records, one upstream source, every causal arrow running forward in time. The tools come from Miximin Decision Theory, developed in The Miximin Order. The standard quantum formalism is left untouched: what dissolves is the appearance of backward causation and spooky action, not the arithmetic. Bell's theorem stands, and the assumption it costs is identified. The quantum probabilities are left open as a real question, separated from the paradoxes they have been filed with. William Newcomb, who invented the puzzle, never published it.
I apply some of the lessons from quantum theory, in particular from Bell’s theorem, to a debate on the foundations of decision theory and causation. By tracing a formal analogy between the basic assumptions of causal decision theory (CDT)—which was developed partly in response to Newcomb’s problem— and those of a local hidden variable theory in the context of quantum mechanics, I show that an agent who acts according to CDT and gives any nonzero credence to some possible causal interpretations underlying quantum phenomena should bet against quantum mechanics in some feasible game scenarios involving entangled systems, no matter what evidence they acquire. As a consequence, either the most accepted version of decision theory is wrong, or it provides a practical distinction, in terms of the prescribed behaviour of rational agents, between some metaphysical hypotheses regarding the causal structure underlying quantum mechanics. 1. Introduction 2. Newcomb’s Probleme 3. Causal Decision Theory 3.1 Regions of causal influence 3.2 Evidential and effective probabilities 4. The parallel with Bell’s theorem 4.1 Consequences of the analogy 4.1.1 The marble boxes game 4.1.2 Mechanism underlying the marble boxes game 4.1.3 The causalist’s decision 4.1.4 The Bell game 5. Communicated versus Non-communicated Predictions 6. Summary and Conclusion
Bell's Theorem assumes that hidden variables are not influenced by future measurement settings. The assumption has sometimes been questioned, but the suggestion has been thought outlandish, even by the taxed standards of the discipline. (Bell thought that it led to fatalism.) The case for this reaction turns out to be surprisingly weak, however. We show that QM easily evades the standard objections to advanced action. And the approach has striking advantages, especially in avoiding the apparent conflict between Bell's Theorem and special relativity. The second part of the paper considers the broader question as to why advanced action seems so counterintuitive. We investigate the origins of our ordinary intuitions about causal asymmetry. It is argued that the view that the past does not depend on the future is largely anthropocentric, a kind of projection of our own temporal asymmetry. Many physicists have also reached this conclusion, but have thought that if causation has no objective direction, there is no objective content to an advanced action interpretation of QM. This turns out to be a mistake. From the ordinary subjective perspective, we can distinguish two sorts of objective world: one "looks as if" it contains only forward causation, the other ``looks as if'' it involves a mix of backward and forward causation. This clarifies the objective core of an advanced action interpretation of QM, and shows that there is an independent symmetry argument in favour of the approach.
Entanglement is usually met as a paradox: either something crosses space faster than light, or the outcomes were fixed in advance, and Bell's theorem forbids the second while relativity forbids the first. Within the informational framework, in which observable space is a projection of a correlation graph, the paradox rests on a hidden confusion between two distinct quantities. One is a coherence between the phase modes of the two particles, a factorizability F that runs from 1 for a classical pair to 0 for a maximally correlated one. The other is an informational distance, an arithmetic measure of how two elements differ, as real as the gap between two primes and needing no space. They are not the same number, and what binds a measured pair is the first, never the second. From the framework's phase structure, together with the standard two-level representation and the Born rule, the singlet correlation E(a,b) = -(1-F) cos(a-b) and the Bell parameter |S| = 2 sqrt2 (1-F) follow with no free parameter and no measured constant, so the violation |S| > 2 is a geometric consequence of small F. The full -cos, rather than the half of a product of marginal probabilities, is obtained from the joint amplitude, the direct signature of the projection being linear on amplitudes (Axiom 9). A local Haar-twirl lemma fixes the fully decohered fraction as the maximally mixed state, and a product of two locally isotropic (depolarizing) channels contracts the singlet's Pauli correlation tensor to a single factor, forcing the partially decohered singlet to be a Werner state with weight p = lambda_A lambda_B; the coincidence visibility then fixes p = 1-F, so the mixing weight is exactly the arithmetic factorizability; that is the bridge, derived rather than posited. Under decoherence F climbs toward 1 along an extension of the collective scaling law, F(N) = 1 - (1-F0)/sqrt(N) with N = 1 + n, and two distinct thresholds follow: the CHSH violation dies at a decorrelation count of order unity, while the entanglement itself survives to a count 9/2 times larger (a ratio of counts, not of times or distances). Throughout, the informational distance |Z_a-Z_b| does not move at all. Non-locality is therefore a property of coherence, not of a distance that shrinks to zero: the correlation never needed space to begin with. The informational space is not an interpretation added at the end; it is what the four opening questions require, and entanglement is the plainest evidence that it is there. All results are derived with zero free parameters and no measured constant; a self-contained standard-library verification script asserts every boxed result.
Quantum mechanics is our most successful physical theory. It predicts the behavior of atoms, molecules, and light to ten decimal places. No experiment has ever contradicted it. It also contains a crack at its foundation. The theory’s central equation—the Schrodinger equation—describes a smooth, continuous, perfectly predictable evolution of the quantum state. But whenever anyone performs a measurement, they get a single, definite result. Which result they get appears to be random. The transition from smooth evolution to random outcome is called the “collapse of the wavefunction,” and after nearly a century of analysis, there is no agreed-upon explanation for what causes it, when it occurs, or whether it occurs at all. This is the measurement problem. The measurement problem is not a minor puzzle at the margins of the theory. It is a failure to explain the most basic operation in science: looking at the result of an experiment. Around it cluster other puzzles. Light behaves like a wave in some experiments and like a particle in others—two contradictory descriptions. Two particles that have interacted remain correlated across arbitrary distances, as though communicating faster than light. The probabilities that govern measurement outcomes appear as a postulate—the Born rule—inserted by hand with no deeper justification. And the theory offers no unified picture of reality: quantum mechanics, general relativity, and the standard model of particle physics speak incompatible mathematical languages. A century of effort has produced many interpretations of quantum mechanics. Copenhagen. Many-worlds. De Broglie-Bohm. Objective collapse. Quantum Bayesianism. None has achieved consensus. The measurement problem remains. This document proposes that the source of these puzzles is not quantum mechanics itself. It is a single, invisible assumption made at the very beginning of the theory in 1900—an assumption so deeply embedded that nobody noticed they were making it. Change that assumption, and the puzzles do not get solved. They dissolve. They stop being puzzles. They become predictable consequences of geometry.
The Born rulethe prescription that measurement probabilities equal the squared mod- ulus of wave function amplitudeshas resisted satisfactory explanation for nearly a century. We argue that this diculty stems from a hidden assumption: that probability names a causal concept requiring causal explanation. Drawing on causal eliminativism, we reinterpret the Born rule not as describing the probabilistic eects of measurement, but as specifying a measure on the space of constraint-satisfying congurations. From this perspective, Glea- son's theorem does not derive probability from quantum mechanics; rather, it identies |ψ|2 as the unique coherent measure compatible with Hilbert space geometry. The question Why does measurement cause probabilistic outcomes? dissolves: there is no causation, hence no probabilistic causation, hence no puzzle. What remains is a geometric fact about constraint structure