Fractal Decision-Branching Framework (FDBF): A Conceptual Framework for Modeling Decision Histories, Branching Structures, and Possible Correspondences with Everettian Interpretations
This working paper introduces the Fractal Decision-Branching Framework (FDBF), a conceptual framework for representing human decision histories as branching structures and for examining possible structural correspondences between decision-tree geometry, fractal or scale-dependent branching, and Everettian interpretations of quantum mechanics. FDBF distinguishes three epistemic levels: (1) established physical concepts such as quantum superposition and decoherence, (2) interpretive claims associated with the Everett/Many-Worlds family of quantum interpretations, and (3) new speculative hypotheses proposed by the framework. The model does not claim that conscious human decisions create new universes, nor does it treat fractal or branching structures observed in nature as evidence for the existence of a multiverse. Instead, it proposes that macroscopic decision points may be interpreted as observable markers of diverging histories within a branching description of reality. The paper develops a formal representation of decision branching, examines the conditions under which such structures could meaningfully be described as fractal or scale-dependent, discusses the relationship between decision histories and Everettian branching, and addresses falsifiability, epistemic limitations, and possible directions for future empirical development. FDBF is presented as a conceptual and interdisciplinary working framework spanning decision theory, philosophy of physics, complex systems, fractal geometry, and foundational questions in quantum mechanics. Author: Mohammad RadfarCorresponding author: m.raadfar@gmail.com
This working paper introduces the Fractal Decision-Branching Framework (FDBF), a conceptual framework for representing human decision histories as branching structures and for examining possible structural correspondences between decision-tree geometry, fractal or scale-dependent branching, and Everettian interpretations of quantum mechanics. FDBF distinguishes three epistemic levels: (1) established physical concepts such as quantum superposition and decoherence, (2) interpretive claims associated with the Everett/Many-Worlds family of quantum interpretations, and (3) new speculative hypotheses proposed by the framework. The model does not claim that conscious human decisions create new universes, nor does it treat fractal or branching structures observed in nature as evidence for the existence of a multiverse. Instead, it proposes that macroscopic decision points may be interpreted as observable markers of diverging histories within a branching description of reality. The paper develops a formal representation of decision branching, examines the conditions under which such structures could meaningfully be described as fractal or scale-dependent, discusses the relationship between decision histories and Everettian branching, and addresses falsifiability, epistemic limitations, and possible directions for future empirical development. FDBF is presented as a conceptual and interdisciplinary working framework spanning decision theory, philosophy of physics, complex systems, fractal geometry, and foundational questions in quantum mechanics. Author: Mohammad RadfarCorresponding author: m.raadfar@gmail.com
abstract: This thesis attempts to explain Everettian quantum mechanics from the ground up, such that those with little to no experience in quantum physics can understand it. First, we introduce the history of quantum theory, and some concepts that make up the framework of quantum physics. Through these concepts, we reveal why interpretations are necessary to map the quantum world onto our classical world. We then introduce the Copenhagen interpretation, and how many-worlds differs from it. From there, we dive into the concepts of entanglement and decoherence, explaining how worlds branch in an Everettian universe, and how an Everettian universe can appear as our classical observed world. From there, we attempt to answer common questions about many-worlds and discuss whether there are philosophical ramifications to believing such a theory. Finally, we look at whether the many-worlds interpretation can be proven, and why one might choose to believe it. (abstract)
This paper explores the quantum many-worlds interpretation (MWI) and its implications beyond fundamental physics, extending to decision theory, game theory, and economics. Starting from the foundational principles of MWI, we examine how observers interact with branching universes, analyze Newcomb’s paradox in both classical and quantum forms, and discuss applications in quantum game theory and quantum economics. By integrating quantum concepts like superposition, entanglement, and interference, we demonstrate how these ideas resolve classical paradoxes and offer novel frameworks for modeling complex systems. Mathematical formulations are presented using Unicode symbols for clarity. The many-worlds interpretation of quantum mechanics, proposed by Hugh Everett III in 1957, posits that the universe branches into multiple parallel realities during quantum measurements, avoiding the wave function collapse postulate. This framework has profound philosophical and practical implications, particularly in understanding decision-making under uncertainty. In this paper, we synthesize discussions on MWI, observer roles in branching, Newcomb’s paradox, its quantum variant, quantum game theory, and quantum economics. These topics form a coherent progression from quantum foundations to applied interdisciplinary fields, highlighting how quantum principles can reshape classical theories.
This paper presents the Spinal Decision Point Framework (DPF), a conceptual model for understanding paradoxes in time, quantum mechanics, and perception. Unlike theories that rely on branching timelines or infinite universes, the DPF describes reality as a single, continuous structure shaped by decision points (DPs). Each DP represents a critical juncture where an observer's perspective and choice determine the trajectory of their reality. Through this framework, paradoxes such as the Grandfather Paradox, Schrödinger's Cat, the Twin Paradox, and the dual nature of light are reexamined. The DPF resolves contradictions by introducing two key mechanisms: reality corrosion, where paradoxical endings are prevented by resetting to a prior decision point, and reality completion, where events progress without contradiction to their natural conclusion. This approach also provides explanations for common phenomena such as déjà vu (as the conscious effect of resets) and the Mandela Effect (as differing realities between observers). The DPF thus offers a unified perspective in which reality is finite, internally consistent, and observer-dependent, without resorting to infinite branching timelines. By combining insights from relativity, quantum mechanics, and philosophy, this framework proposes a structured way to reconcile paradoxes and expand discussions about the nature of time, perception, and reality.
Abstract In Everettian quantum mechanics, justifications for the Born rule appeal to self-locating uncertainty or decision theory. Such justifications have focused exclusively on a pure-state Everettian multiverse, represented by a wavefunction. Recent works in quantum foundations suggest that it is viable to consider a mixed-state Everettian multiverse, represented by a (mixed-state) density matrix. Here, we discuss the conceptual foundations for decoherence and branching in a mixed-state multiverse, and extend arguments for the Born rule to this setting. This extended framework provides a unification of ‘classical’ and ‘quantum’ probabilities, and additional theoretical benefits, for the Everettian picture.
Quantum mechanics does not require parallel universes — only phase-relative structure within a shared spacetime manifold. This preprint presents an interpretive framework for quantum multiplicity that avoids spatial “parallel universe” metaphors. Building on standard quantum field theory, Everettian quantum mechanics, and decoherence theory, it argues that apparent multiplicity can be understood as phase-relative branch structure within a single shared spacetime manifold, rather than as spatially separate worlds. The work introduces no new dynamics, equations, or empirical predictions. Its contribution is conceptual: clarifying how mutually exclusive classical outcomes arise through branch-relative accessibility and loss of correlation, while preserving all governing invariants, including conservation laws and universal gravitational coupling in the semiclassical regime. A companion supplementary document presents the standard mathematical formalism—Hilbert space structure, density matrices, decoherence, and expectation-value stress–energy—to demonstrate that the interpretation remains fully consistent with established physics. In approaches to quantum gravity where spacetime is emergent—such as loop quantum gravity or holographic dualities—the framework would naturally reformulate in relational or entanglement-theoretic terms. In that context, branch-relative multiplicity corresponds not to multiple times or geometries, but to multiple decohered relational histories or bulk reconstructions supported by a single underlying quantum state. This paper is intended as a foundations-level reinterpretation for physicists and philosophers of physics interested in quantum ontology, decoherence, and the conceptual structure of spacetime.
[Amrita Field Theory — Domain Classification] This paper belongs to the Amrita Field Theory (AFT) research program,a unified information-field framework integrating consciousness,causality, physical law, and statistical structure. Core domains addressed in this paper: • Physical interface of AFT• Cosmology and field-level interpretation of physical phenomena This paper reinterprets the Everettian “many-worlds” interpretation (MWI) inside Amrita Field Theory (AFT), a three-layer information-field model of consciousness, causality, and spacetime. Instead of treating branches as literally separate universes, we model them as distinct compression-stable trajectories in a single Amrita/information field. An observer’s experienced “world” is a Σ-anchored compression path through this field, rather than a split of reality. Within this framework, unitary quantum dynamics and decoherence still generate an effective branching structure, but the ontology remains single-field: branching is geometry in information space, not universe proliferation. This allows us to (i) explain why each agent experiences one definite outcome, (ii) link Born weights to compression-efficiency gradients in the field, and (iii) connect many-worlds style reasoning to consciousness, free will, and time as developed in other AFT papers. The result is a unified, field-theoretic account of branching and experience that keeps Everett’s strengths while avoiding an infinite zoo of ontic universes.