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arXiv:2506.21553

A Deterministic Model of Free Will

Palmer, Tim

Published Apr 1, 2025• 0 citations
arXivHTMLPDF

Abstract

The issue of whether we make decisions freely has vexed philosophers for millennia, Resolving this is vital for solving a diverse range of problems, from the physiology of how the brain makes decisions (and how we assign moral responsibility to those decisions) to the interpretation of experiments on entangled quantum particles. A deterministic model of free will is developed, based on two concepts. The first generalises the notion of initialisation of nonlinear systems where information cascades upscale from the Planck scale, exemplified by the chaology of colliding billiard balls, and featured in the author's Rational Quantum Mechanics. With `just-in-time' initialisation, such Planck-scale information is only initialised when it is needed to describe super-Planck scale evolution, and not e.g., at the time of the Big Bang. In this way determinism does not imply predestination and a system with finitely many degrees of freedom can shadow a system with infinitely many, over arbitrarily long timescales. The second concept describes the upscale control of such Planck-scale information on super-Planck scales and is illustrated by reference to stochastic rounding in numerical analysis. Using these concepts, a deterministic model is proposed whereby freely-made decisions are made by using past experiences to control the impact of noise in the low-energy brain. It is claimed that such a model has evolutionary advantages, not least preventing paralysis by analysis and encouraging rational risk taking. It is concluded that humans have free will, determinism notwithstanding. The model is applied to study the foundational issue of free choice in quantum physics experiments: it is shown that violating the Measurement Independence assumption does not invalidate the free-will conclusion above.

DOI
10.48550/arxiv.2506.21553

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The issue of whether we make decisions freely has vexed philosophers for millennia, Resolving this is vital for solving a diverse range of problems, from the physiology of how the brain makes decisions (and how we assign moral responsibility to those decisions) to the interpretation of experiments on entangled quantum particles. A deterministic model of free will is developed, based on two concepts. The first generalises the notion of initialisation of nonlinear systems where information cascades upscale from the Planck scale, exemplified by the chaology of colliding billiard balls, and featured in the author's Rational Quantum Mechanics. With `just-in-time' initialisation, such Planck-scale information is only initialised when it is needed to describe super-Planck scale evolution, and not e.g., at the time of the Big Bang. In this way determinism does not imply predestination and a system with finitely many degrees of freedom can shadow a system with infinitely many, over arbitrarily long timescales. The second concept describes the upscale control of such Planck-scale information on super-Planck scales and is illustrated by reference to stochastic rounding in numerical analysis. Using these concepts, a deterministic model is proposed whereby freely-made decisions are made by using past experiences to control the impact of noise in the low-energy brain. It is claimed that such a model has evolutionary advantages, not least preventing paralysis by analysis and encouraging rational risk taking. It is concluded that humans have free will, determinism notwithstanding. The model is applied to study the foundational issue of free choice in quantum physics experiments: it is shown that violating the Measurement Independence assumption does not invalidate the free-will conclusion above.
If the concept of “free will” is reduced to that of “choice” all physical world share the latter quality. Anyway the “free will” can be distinguished from the “choice”: The “free will” involves implicitly a certain goal, and the choice is only the mean, by which the aim can be achieved or not by the one who determines the target. Thus, for example, an electron has always a choice but not free will unlike a human possessing both. Consequently, and paradoxically, the determinism of classical physics is more subjective and more anthropomorphic than the indeterminism of quantum mechanics for the former presupposes certain deterministic goal implicitly following the model of human freewill behavior. Quantum mechanics introduces the choice in the fundament of physical world involving a generalized case of choice, which can be called “subjectless”: There is certain choice, which originates from the transition of the future into the past. Thus that kind of choice is shared of all existing and does not need any subject: It can be considered as a low of nature. There are a few theorems in quantum mechanics directly relevant to the topic: two of them are called “free will theorems” by their authors (Conway and Kochen 2006; 2009). Any quantum system either a human or an electron or whatever else has always a choice: Its behavior is not predetermined by its past. This is a physical law. It implies that a form of information, the quantum information underlies all existing for the unit of the quantity of information is an elementary choice: either a bit or a quantum bit (qubit).
If the concept of “free will” is reduced to that of “choice” all physical world share the latter quality. Anyway the “free will” can be distinguished from the “choice”: The “free will” involves implicitly certain preliminary goal, and the choice is only the mean, by which it can be achieved or not by the one who determines the goal. Thus, for example, an electron has always a choice but not free will unlike a human possessing both. Consequently, and paradoxically, the determinism of classical physics is more subjective and more anthropomorphic than the indeterminism of quantum mechanics for the former presupposes certain deterministic goal implicitly following the model of human freewill behavior.The choice is usually linked to very complicated systems such as human brain or society and even often associated with consciousness. In its background, the material world is deterministic and absolutely devoid of choice. However, quantum mechanics introduces the choice in the fundament of physical world, in the only way, in which it can exist: All exists in the “phase transition” of the present between the uncertain future and the well-ordered past. Thus the present is forced to choose in order to be able to transform the coherent state of future into the well-ordering of past. The concept of choice as if suggests that there is one who chooses. However quantum mechanics involves a generalized case of choice, which can be called “subjectless”: There is certain choice, which originates from the transition of the future into the past. Thus that kind of choice is shared of all existing and does not need any subject: It can be considered as a low of nature.There are a few theorems in quantum mechanics directly relevant to the topic: two of them are called “free will theorems” by their authors, Conway and Kochen, and according to them: “Do we really have free will, or, as a few determined folk maintain, is it all an illusion? We don’t know, but will prove in this paper that if indeed there exist any experimenters with a modicum of free will, then elementary particles must have their own share of this valuable commodity” “The import of the free will theorem is that it is not only current quantum theory, but the world itself that is non-deterministic, so that no future theory can return us to a clockwork universe”.Those theorems can be considered as a continuation of the so-called theorems about the absence of “hidden variables” in quantum mechanics.
The concept of 'super-indeterminism' captures the notion that the free choice assumption of orthodox quantum mechanics necessitates only the following requirement: an agent's free-choice performance in the selection of measurement settings must not represent an exception to the rule of irreducible quantum indeterminism in the physical universe (i.e, "universal indeterminism"). Any additional metaphysical speculation, such as to whether quantum indeterminism, i.e., intrinsic randomness, implicates the reality of experimenter "freedom", "free will", or "free choice", is redundant in relation to the predictive success of orthodox quantum mechanics. Accordingly, super-indeterminism views as redundant also, from a technical standpoint, whether an affirmative or a negative answer is claimed in reference to universal indeterminism as a necessary precondition for experimenter freedom. Super-indeterminism accounts, for example, for the circular reasoning which is implicit in the free will theorem by Conway and Kochen [1,2]. The concept of super-indeterminism is of great assistance in clarifying the often misunderstood meaning of the concept of "free variables" as used by John Bell [3]. The present work argues that Bell sought an operational, effective free will theorem , one based upon the notion of "determinism without predetermination", i.e., one wherein "free variables" represent universally uncomputable variables. In conclusion, the standard interpretation of quantum theory does not answer, and does not need to answer in order to ensure the predictive success of orthodox theory, the question of whether either incompatibilism or compatibilism is valid in relation to free-will metaphysics and to the free-will phenomenology of experimenter agents in quantum mechanics.
The question of human free will has remained a central philosophi- cal challenge for millennia. In physics, the issue of determinism versus indeterminism resurfaces in quantum mechanics, where measurement choices play a key role. In this work, we propose an experimental pro- tocol inspired by delayed-choice quantum eraser experiments, in which the random switching of measurement settings is not performed by a quantum random number generator (QRNG), but instead by human participants making rapid spontaneous choices. If human choices are fundamentally unpredictable in a way that is not reducible to quantum determinism, then the universal wave function could not have encoded them prior to the decision event. By introducing quantum memories to extend the decision window and ensuring strict separation and blind- ness of participants, this experiment could test whether interference patterns depend on genuinely free human choices or behave identically to QRNG-based protocols. A violation of standard quantum predic- tions would have profound consequences for physics, philosophy, and neuroscience.
The question of human free will has remained a central philosophical challenge for millennia. In physics, the issue of determinism versus indeterminism resurfaces in quantum mechanics, where measurement choices play a key role. In this work, we propose an experimental protocol inspired by delayed-choice quantum eraser experiments, in which the random switching of measurement settings is not performed by a quantum random number generator (QRNG), but instead by human participants making rapid spontaneous choices. If human choices are fundamentally unpredictable in a way that is not reducible to quantum mechanics or physical determinism, then the universal wave function could not have encoded them prior to the decision event. By introducing quantum memories to extend the decision window and ensuring strict separation and blindness of participants, this experiment could test whether interference patterns depend on genuinely free human choices or yield results identical to QRNG-based protocols.
The question of human free will has remained a central philosophical challenge for millennia. In physics, the issue of determinism versus indeterminism resurfaces in quantum mechanics, where measurement choices play a key role. In this work, we propose an experimental protocol inspired by delayed-choice quantum eraser experiments, in which the random switching of measurement settings is not performed by a quantum random number generator (QRNG), but instead by human participants making rapid spontaneous choices. If human choices are fundamentally unpredictable in a way that is not reducible to quantum mechanics or physical determinism, then the universal wave function could not have encoded them prior to the decision event. By introducing quantum memories to extend the decision window and ensuring strict separation and blindness of participants, this experiment could test whether interference patterns depend on genuinely free human choices or yield results identical to QRNG-based protocols.