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arXiv:2601.02419

How Alice, long before her time, derived the principles of quantum mechanics

Marcello Poletti

quant-phphysics.hist-phSubmitted Jan 3, 2026• Announced Jan 6, 2026• 0 citations
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Abstract

This philosophical dialogue explores the idea that the foundational principles of quantum mechanics need not be interpreted as describing a new physics, but may instead arise from the logical necessity of formalising the act of measurement within a coherent algebraic framework. By pushing this perspective to its extreme, the dialogue argues that the core structures of quantum mechanics can be derived independently of any specifically quantum properties of atomic particles, and can be formulated within an otherwise classical theory once limitations of observability and measurement context are taken seriously.

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This philosophical dialogue explores the idea that the foundational principles of quantum mechanics need not be interpreted as describing a new physics, but may instead arise from the logical necessity of formalising the act of measurement within a coherent algebraic framework. By pushing this perspective to its extreme, the dialogue argues that the core structures of quantum mechanics can be derived independently of any specifically quantum properties of atomic particles, and can be formulated within an otherwise classical theory once limitations of observability and measurement context are taken seriously.
My main aim here is to present a general methodological principle, which I propose to designate as Heisenberg-Einstein context principle, as it emerges from their dialogue on physical theory, becoming their most important meeting point in the interpretation of quantum mechanics. I regard as context-principles those which can serve as guiding principles in theory-finding and theory-testing within physics. I think that they must be judged by their impact in making physics open-ended. As regards Heisenberg-Einstein dialogue, three important questions can be raised. The first question is which particular aspect of physical theory were they both concerned with. The second question is whether there emerged from their dialogue some general principle, as a guiding principle of sufficient methodological interest, on which they both showed significant agreement, resolving some of their methodological differences by removing some of their shared philosophical misunderstandings concerning physical theory. This gives rise to the third question whether their dialogue resulted in a significant impact on their respective positions on the interpretation, or foundations, of quantum mechanics. While answering the last two questions in the affirmative, I shall argue for the thesis that in their dialogue they shared a rather deep concern with the fundamental aspects of physical theory — with its mathematical formalism. Taken in this aspect, a physical theory, as and when it becomes mature after it has passed tests, contributes to context-building in theory-finding and theory-testing, generating new frontiers of discovery in physics and astronomy. In a nutshell, I am here concerned with the problem of reconnecting observation with theory, and discovery, or rather frontier of discovery, in physics with the core-context of discovery, trying to bring out the significance of the Heisenberg-Einstein context principle.
Written for advanced undergraduates, physicists, and historians and philosophers of physics, this book tells the story of the development of our understanding of quantum phenomena through the extraordinary years of the first three decades of the twentieth century. Rather than following the standard axiomatic approach, this book adopts a historical perspective, explaining clearly and authoritatively how pioneers such as Heisenberg, Schrodinger, Pauli and Dirac developed the fundamentals of quantum mechanics and merged them into a coherent theory, and why the mathematical infrastructure of quantum mechanics has to be as complex as it is. The author creates a compelling narrative, providing a remarkable example of how physics and mathematics work in practice. The book encourages an enhanced appreciation of the interaction between mathematics, theory and experiment, helping the reader gain a deeper understanding of the development and content of quantum mechanics than any other text at this level.
This book embarks on an intellectual journey into the profound relationship between quantum reality and the philosophy of truth. Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., presents an intricate exploration of how quantum mechanics reshapes our understanding of truth, challenging classical perspectives rooted in determinism and objectivity. By examining the philosophical implications of quantum theories, this work investigates whether truth can be considered absolute or if it is intrinsically tied to observation and probability. Published in 2000 by The United Nations and The Education Training Centre, this book serves as a bridge between science and philosophy, offering insights into the evolving nature of knowledge and existence. The development of quantum mechanics has revolutionized scientific thought, presenting paradoxes and mysteries that defy classical logic. Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., recognizes that these quantum principles necessitate a reevaluation of long-standing philosophical notions of truth. With the rise of quantum interpretations that suggest observer-dependent realities, the traditional pursuit of an objective, singular truth faces profound challenges. The book was published in 2000 as part of an initiative to integrate contemporary scientific discoveries with philosophical discourse. Truth, traditionally perceived as an unchanging entity, undergoes reexamination under the influence of quantum mechanics. Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., introduces core concepts such as superposition, entanglement, and wave-particle duality to illustrate the complexities of defining truth within this new paradigm. This book questions whether truth is an independent construct or an emergent property shaped by interactions within quantum systems. Quantum paradoxes, such as Schrödinger's cat and Heisenberg's uncertainty principle, challenge conventional assumptions about reality and knowledge. Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., examines these phenomena to highlight the fluid and often counterintuitive nature of truth in quantum theory. By analyzing real-world applications, including quantum computing and teleportation, the book connects abstract theories with tangible scientific advancements. The book explores the epistemological shift necessitated by quantum mechanics. It delves into various interpretations, including the Copenhagen interpretation, many-worlds theory, and pilot-wave theory, to evaluate their implications for defining truth. Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., advocates for an interdisciplinary approach that incorporates philosophical rigor with scientific discovery. Several criteria are proposed for assessing truth in the quantum realm, including coherence, contextuality, and experimental validation. Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., emphasizes the need to embrace probabilistic frameworks and uncertainty as inherent aspects of truth rather than limitations. Observability, measurement outcomes, and entanglement serve as operational variables in determining truth within quantum contexts. The book investigates how these variables influence our perception and understanding of reality. The interplay between knowledge, consciousness, and physical laws defines the nature of truth in quantum mechanics. Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., explores how advancements in quantum experimentation and philosophical reasoning shape our grasp of reality. The book outlines strategies for integrating quantum principles into broader philosophical discussions on truth. By fostering dialogue between scientists and philosophers, Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., encourages a more comprehensive understanding of existence and knowledge. The complexities of quantum mechanics present challenges in reconciling empirical data with philosophical interpretations. The book identifies educational gaps, technological limitations, and cognitive biases as obstacles while highlighting emerging frameworks that offer solutions. Prof. Dr. Yoesoep Edhie Rachmad, Ph.D., DBA., concludes that truth in the quantum world is dynamic, context-dependent, and deeply intertwined with the act of observation. By embracing uncertainty and redefining knowledge structures, humanity can develop a more nuanced appreciation of existence.
This work develops a conceptual framework for the foundations of quantum physics, linking two main approaches: the algebraic formulation and quantum probability. Rather than proposing new axioms or theories, the text reorganizes and synthesizes existing models, highlighting their assumptions, conceptual structures, and operational significance. The analysis begins with von Neumann's measurement theory and its subsequent developments by Mackey, emphasizing the role of experimentally feasible procedures and the need for a statistical model grounded in laboratory practice. The work adopts an operational perspective, according to which physical quantities are defined solely through experimental measurement methods, and the corresponding probabilistic measures are derived from measurement outcomes. The introduction critically examines the limitations of purely mathematical formulations - such as the algebraic method - when separated from experimental interpretation. The text argues for a clear distinction between axioms, postulates, and presuppositions, and for a reconstruction of quantum theory that respects both empirical constraints and conceptual clarity. Overall, the goal is to provide a coherent path from operational principles to algebraic structures, offering a basis for an axiomatic reformulation of quantum mechanics that remains faithful to physical practice.
During the past two or three centuries western philosophy and science have confirmed each other in their ontological attitude towards external reality. The particular opinion that physical objects have an existence completely independent of observation was established as the necessary basis for all scientific investigation. The discovery in quantum physics that the phenomena ultimately constituting the stability of the material world cannot be separated from the instruments of observation was necessarily felt disastrous to the scientific world-picture, and many philosophers and scientists, including celebrated physicists, are still trying by all means to save ontology in quantum physics. The motive power behind this activity is the belief that the objectivity of science can be maintained only if the elementary particles of matter can be objectified in the usual way. The present chapter deals with the fundamental conditions in quantum physics which entail a complete breakdown of the conceptual frame of classical mechanics