Prefatory Note This article uses the comparison to clarify IBP/MIB, not to dismiss the compared theory. The “Sudoku universe” analogy offers a clear and accessible way to illustrate one important idea in contemporary discussions of physics, time, and global constraint: the physical record must cohere as a whole. Individual events cannot be understood as isolated entries detached from the larger structure of reality. This article uses that analogy as a point of comparison for a further question. A constraint metaphor can illustrate why the completed physical record must be internally consistent. A separate question remains: by what mechanism do possible events become admissible entries in that record? The Information Boundary Principle and the Minimum Informational Boundary are introduced here as a proposed account of that mechanism. IBP/MIB accepts the global-consistency insight reflected in the Sudoku analogy, while focusing on the prior question of event admission: how a possible event becomes part of the physical record without violating causality, conservation, probability continuity, Lorentz structure, or geometric coherence. Abstract Recent discussions in philosophy of physics and quantum foundations have advanced the idea that physical reality may be understood as a globally constrained structure. One popular explanatory metaphor is the “Sudoku universe,” under which the universe is compared to a completed puzzle whose entries must fit the rules of the whole. This article accepts the useful portion of that analogy: physical reality must be globally coherent and cannot contain contradiction. The difficulty is that the analogy does not identify the mechanism by which contradiction-producing possibilities are excluded from physical reality. It describes the consistency of the completed record, but not the conditions by which possible events become admissible entries in that record. The Information Boundary Principle (IBP) and the Minimum Informational Boundary (MIB) address that prior question. Under IBP/MIB, a possible event becomes part of the physical record only when it satisfies boundary-condition and causal-admissibility requirements. This article compares the constraint metaphor with the IBP/MIB framework and argues that Lorentz structure, scalar-field formalism, and the Einstein field equations are better understood as layered examples of causal and structural admissibility than as instances of a static puzzle analogy. The conclusion is that global constraint identifies the requirement of consistency, while IBP/MIB proposes the gate through which possible events become physically admissible records.
Prefatory Note This article uses the comparison to clarify IBP/MIB, not to dismiss the compared theory. The “Sudoku universe” analogy offers a clear and accessible way to illustrate one important idea in contemporary discussions of physics, time, and global constraint: the physical record must cohere as a whole. Individual events cannot be understood as isolated entries detached from the larger structure of reality. This article uses that analogy as a point of comparison for a further question. A constraint metaphor can illustrate why the completed physical record must be internally consistent. A separate question remains: by what mechanism do possible events become admissible entries in that record? The Information Boundary Principle and the Minimum Informational Boundary are introduced here as a proposed account of that mechanism. IBP/MIB accepts the global-consistency insight reflected in the Sudoku analogy, while focusing on the prior question of event admission: how a possible event becomes part of the physical record without violating causality, conservation, probability continuity, Lorentz structure, or geometric coherence. Abstract Recent discussions in philosophy of physics and quantum foundations have advanced the idea that physical reality may be understood as a globally constrained structure. One popular explanatory metaphor is the “Sudoku universe,” under which the universe is compared to a completed puzzle whose entries must fit the rules of the whole. This article accepts the useful portion of that analogy: physical reality must be globally coherent and cannot contain contradiction. The difficulty is that the analogy does not identify the mechanism by which contradiction-producing possibilities are excluded from physical reality. It describes the consistency of the completed record, but not the conditions by which possible events become admissible entries in that record. The Information Boundary Principle (IBP) and the Minimum Informational Boundary (MIB) address that prior question. Under IBP/MIB, a possible event becomes part of the physical record only when it satisfies boundary-condition and causal-admissibility requirements. This article compares the constraint metaphor with the IBP/MIB framework and argues that Lorentz structure, scalar-field formalism, and the Einstein field equations are better understood as layered examples of causal and structural admissibility than as instances of a static puzzle analogy. The conclusion is that global constraint identifies the requirement of consistency, while IBP/MIB proposes the gate through which possible events become physically admissible records.
Abstract We advance the Information Boundary Principle (IBP): an event becomes irreversible when its informational content is recorded or irreversibly entangled with the environment, thereby fixing it within globally consistent boundary conditions across spacetime. In delayed‑choice quantum eraser experiments, correlations appear to allow future measurements to determine past behavior. We argue these results reveal a boundary‑value structure of quantum reality: histories are selected to satisfy both initial and final constraints, with inconsistency forbidden by the information boundary. We formalize the IBP using density‑matrix dynamics, decoherence, mutual information, and the Englert duality relation, derive observational consequences for eraser‑type experiments, and outline empirical tests capable of discriminating our view from competing interpretations. While fully consistent with special and general relativity, the IBP imposes an additional global constraint on their solution space. Einstein’s equations admit mathematically valid but unphysical spacetimes—tachyonic world‑lines, closed timelike curves, traversable wormholes sustained by exotic matter, and naked singularities. As energy conditions, quantum stability, and Hawking’s chronology‑protection principle already restrict many such solutions, the IBP further filters the admissible set by excluding any geometry that cannot maintain coherent, non‑contradictory informational records. Thus the IBP acts as an information‑theoretic selection rule layered over, not against, relativity’s geometry. Keywords: delayed choice; quantum eraser; decoherence; mutual information; causality; two‑state vector; information theory; relativity.
ABSTRACT The conservation of probability is not merely a mathematical byproduct of unitary quantum evolution. It constitutes a fundamental structural constraint of the physical universe — a causality protection mechanism enforced at the Minimum Informational Boundary (MIB). This paper demonstrates that the MIB is the geometric locus at which the universe’s self-consistency condition is physically instantiated, and that probability conservation is the measurable expression of that condition. Further, this paper establishes that the scalar field formalism, Lorentz invariance, and the Einstein field equations are not independent theoretical structures but convergent formal expressions of the same underlying MIB constraint. Each encodes, in its own mathematical language, the same inviolate requirement: that the informational content of a closed physical system cannot be created from nothing, cannot be annihilated without remainder, and cannot propagate in a manner that violates causal ordering.
This paper develops a distributed-systems reading of causal order, locality, and the formation of facts in a relativistic universe. It extends the interpretive framework of The Universe as a Consistency-Constrained Information History, in which physical reality is redescribed as a causally consistent history of information updates rather than as a collection of objects independently existing within spacetime. The paper asks what kind of consistency structure such a history can possess if it has no privileged global clock, no instantaneous long-distance coordination, and no external coordinator. The answer is not that the universe literally runs a distributed protocol. Rather, distributed systems provide a structural vocabulary for clarifying three features of known physics: the absence of a global present, the unavailability of frame-independent global linearizability, and the formation of stable facts through decoherence, thermodynamic irreversibility, and redundant environmental recording. The main positive contribution is the Causal Consistency Convergence Argument. The privileged element is not bare causal consistency by itself, since distributed storage systems often require convergence mechanisms, object semantics, or causal+ conflict handling in addition to causal dependency preservation. What is privileged here is the causal-ordering discipline: causal predecessors must be preserved, while spacelike or otherwise concurrent events must not be forced into a privileged total order. The argument is intentionally asymmetric. Its lower bound is structural: a continuable history must preserve causal dependencies. Its upper bound is methodological: a framework that treats Lorentz invariance as a core admissibility constraint, and rejects hidden preferred foliations, must not require a privileged arbitration order over spacelike or otherwise concurrent events. Under that stated commitment, causal ordering is structurally privileged because it matches the ordering part of the physical causal structure. Nonlocal quantum correlations are treated separately as correlation constraints, not as hidden order relations. The resulting picture is neither globally serialized nor incoherent: reality is a causally ordered, locally available, and physically finalized information history. This paper is an interpretive and conceptual discussion. It does not propose a new established physical theory and makes no independent empirical prediction.
This paper develops a distributed-systems reading of causal order, locality, and the formation of facts in a relativistic universe. It extends the interpretive framework of The Universe as a Consistency-Constrained Information History, in which physical reality is redescribed as a causally consistent history of information updates rather than as a collection of objects independently existing within spacetime. The paper asks what kind of consistency structure such a history can possess if it has no privileged global clock, no instantaneous long-distance coordination, and no external coordinator. The answer is not that the universe literally runs a distributed protocol. Rather, distributed systems provide a structural vocabulary for clarifying three features of known physics: the absence of a global present, the unavailability of frame-independent global linearizability, and the formation of stable facts through decoherence, thermodynamic irreversibility, and redundant environmental recording. The main positive contribution is the Causal Consistency Convergence Argument. The privileged element is not bare causal consistency by itself, since distributed storage systems often require convergence mechanisms, object semantics, or causal+ conflict handling in addition to causal dependency preservation. What is privileged here is the causal-ordering discipline: causal predecessors must be preserved, while spacelike or otherwise concurrent events must not be forced into a privileged total order. The argument is intentionally asymmetric. Its lower bound is structural: a continuable history must preserve causal dependencies. Its upper bound is methodological: a framework that treats Lorentz invariance as a core admissibility constraint, and rejects hidden preferred foliations, must not require a privileged arbitration order over spacelike or otherwise concurrent events. Under that stated commitment, causal ordering is structurally privileged because it matches the ordering part of the physical causal structure. Nonlocal quantum correlations are treated separately as correlation constraints, not as hidden order relations. The resulting picture is neither globally serialized nor incoherent: reality is a causally ordered, locally available, and physically finalized information history. This paper is an interpretive and conceptual discussion. It does not propose a new established physical theory and makes no independent empirical prediction.
Foundational problems in physics—including quantum measurement, spacetime emergence, gravitational dynamics, nonlocality, the arrow of time, and the status of physical existence—are typically addressed in isolation, via model-dependent extensions or interpretive assumptions. This work proposes a different approach. We introduce a constraint-based framework, the Closure Admissibility Principle (CAP), which specifies minimal structural conditions any physical description must satisfy in order to be globally consistent. CAP is formulated in operational terms, using admissibility of states, recoverability under refinement, and stability of closed records, without assuming spacetime, dynamics, or ontology a priori. We show that enforcing these constraints induces a unifying closure structure on law-space, from which several persistent foundational puzzles are resolved as structural consequences rather than postulates. In particular, collapse is reclassified as record selection, spacetime and gravity emerge only in compressible regimes, General Relativity appears as an infrared universality class rather than a fundamental law, singularities correspond to failures of admissible description, and null (“nothing”) models are excluded as inadmissible fixed points. The framework is explicitly falsifiable via operational and weak-field tests, and its scope and limits are stated precisely. The results suggest that many foundational paradoxes arise not from incomplete dynamics, but from admitting globally incoherent physical descriptions.
This manuscript develops a timelike-boundary reading of locality and reality within the established Lorentzian causal structure of special relativity and the standard record language of quantum measurement. The central object is a timelike boundary equipped with a boundary observer field and observer-adapted cuts. Such a cut is treated as the local comparison surface on which selected quantities are read relative to a coarse-grained reference structure. A local record appears when a boundary-relative deviation becomes resolvable on that cut. The framework separates two roles that are often compressed into one event statement. Lorentzian geometry supplies causal admissibility: it determines which prior data or contextual contributions may be relevant for a candidate event. The boundary comparison supplies record content: it identifies the deviation that becomes locally manifest. Thus the causal cone constrains the admissible domain, but it does not by itself provide a microscopic route or a measurement record. The proposed reading therefore assigns locality to cut-local record formation under Lorentzian causal admissibility. Reality is associated with stable, record-accessible deviations rather than with direct exposure of the underlying reference structure. The result is a compact assignment framework in which causal structure, reference structure, resolved deviation, and local record formation are organized on the same timelike boundary without replacing the established mathematical content of special relativity or quantum mechanics.