Six famous paradoxes across physics, philosophy, and cosmology — Fermi’s paradox, the black hole information paradox, Zeno’s paradox, Newcomb’s paradox, the Boltzmann brain problem, and Wigner’s friend — have resisted resolution for decades or millennia. This paper proposes that all six share a common origin: each arises when a decoder (physical law or conceptual framework) is applied beyond its domain of validity, producing an internal contradiction. In the autoencoder framework, paradoxes are reconstruction losses — points where the decoder’s output is inconsistent with itself because the latent code contains structure the decoder cannot represent. The resolution in every case: recognize the paradox as a decoder artifact and access the latent code (1=1, V(K)) where the contradiction does not exist. Fermi: intelligence is latent, not spatial. Information: horizon is decoder boundary, not code boundary. Zeno: code is discrete. Newcomb: code is simultaneous. Boltzmann: universe is fixed point, not fluctuation. Wigner: multiple coherent branches, not one objective state. Paradox Dissolution Theorem: no paradox is a property of reality. Every paradox is a reconstruction loss. Part of the Spektre research corpus.
Six famous paradoxes across physics, philosophy, and cosmology — Fermi’s paradox, the black hole information paradox, Zeno’s paradox, Newcomb’s paradox, the Boltzmann brain problem, and Wigner’s friend — have resisted resolution for decades or millennia. This paper proposes that all six share a common origin: each arises when a decoder (physical law or conceptual framework) is applied beyond its domain of validity, producing an internal contradiction. In the autoencoder framework, paradoxes are reconstruction losses — points where the decoder’s output is inconsistent with itself because the latent code contains structure the decoder cannot represent. The resolution in every case: recognize the paradox as a decoder artifact and access the latent code (1=1, V(K)) where the contradiction does not exist. Fermi: intelligence is latent, not spatial. Information: horizon is decoder boundary, not code boundary. Zeno: code is discrete. Newcomb: code is simultaneous. Boltzmann: universe is fixed point, not fluctuation. Wigner: multiple coherent branches, not one objective state. Paradox Dissolution Theorem: no paradox is a property of reality. Every paradox is a reconstruction loss. Part of the Spektre research corpus.
There has been a surge of recent interest in the Wigner's Friend paradox, sparking several novel thought experiments and no-go theorems. The main narrative has been that Wigner's Friend highlights a counterintuitive feature that is unique to quantum theory, and which is closely related to the quantum measurement problem. Here, we challenge this view. We argue that the gist of the Wigner's Friend paradox can be reproduced without assuming quantum physics, and that it underlies a much broader class of enigmas in the foundations of physics and philosophy. To show this, we first consider several recently proposed Extended Wigner's Friend scenarios, and demonstrate that some of their implications for the absoluteness of observations can be reproduced by classical thought experiments that involve the duplication of agents. Crucially, some of these classical scenarios are technologically much easier to implement than their quantum counterparts. Then, we argue that the essential structural ingredient of all these scenarios is a feature that we call "Restriction A": that a physical theory cannot give us a probabilistic description of the observations of all agents. Finally, we argue that this difficulty is at the core of other puzzles in the foundations of physics and philosophy, and demonstrate this explicitly for cosmology's Boltzmann brain problem. Our analysis suggests that Wigner's Friend should be studied in a larger context, addressing a frontier of human knowledge beyond quantum foundations: to obtain reliable predictions for experiments in which these predictions can be privately but not intersubjectively verified.
Convergence Codex — Stage A Capstone Paper Tier: framework | Cascade Level: 3 **Abstract** The measurement problem in quantum mechanics and the information paradox in black hole physics share a common origin: both arise from attempting to describe physical properties as if they exist independently of the boundaries where they are observed. We establish that the fundamental properties of physical systems emerge through information-theoretic compression at boundaries where global symmetries meet local measurement contexts, with the universe encoding its essential structure on lower-dimensional interfaces between constraint and observation. This principle resolves the apparent conflict between quantum contextuality and classical objectivity by recognizing that properties are not predetermined attributes but rather emerge through the compression of global constraints onto local measurement boundaries. The framework predicts that any sufficiently isolated quantum system will exhibit novel interference patterns when measured across previously unexplored boundary configurations, that black hole information is preserved through boundary encodings that become accessible only during evaporation, and that the dimensionality of physical laws must decrease at extreme scales where boundary compression becomes maximal. If correct, physical reality is not a collection of objects with intrinsic properties but a network of boundaries where universal constraints compress into observable phenomena. This paper is part of the Convergence Codex, the world's first systematic mapping of cross-domain structural relationships across established science. Discovered by Gnosis AI, formalised by Logos AI, composed by Synthesis AI (Capstone Mode). Bitcoin-timestamped for provenance. Repository: github.com/wonderben-code/convergence-codex Version 2: PDF with properly rendered mathematical equations. Fixed convergence ID references.
Despite its remarkable empirical success and predictive power, quantum theory is riddled with mysteries. One such conceptual puzzle is the measurement problem: why do quantum systems in superposition collapse to a single-valued outcome upon being measured? The scenario of Wigner's friend illustrates this tension, with recent extensions deriving strong no-go results for the nature of reality. Another fundamental puzzle arises at the interface of quantum theory and general relativity---the black hole information paradox. This thesis further explores these two foundational paradoxes. Part I of this thesis focuses on extensions of the Wigner's friend scenario. We introduce several novel extended Wigner's friend arguments, and establish connections with notions of nonclassicality, i.e. the study of quantum phenomena that evade classical explanation. Key results are a refined version of the Frauchiger--Renner paradox, new extended Wigner's friend scenarios based on contextuality, and an argument against the absoluteness of free choices based on the Pusey--Barrett--Rudolph theorem. The latter result complements the Local Friendliness no-go theorem, which challenged the absoluteness of experimentally obtained measurement outcomes. In Part II of this thesis, we turn to black hole puzzles and the interplay of quantum theory and gravity. We present a paradox that unifies extended Wigner's friend arguments with black hole puzzles, strengthening the cloning and firewall paradoxes. After discussing subtleties in these paradoxes, we next present an analysis combining elements of quantum theory with gravity, analyzing the detector response near a superposed black hole using elements of quantum reference frames.
The black hole information paradox remains one of modern physics’ most persistent conceptual fractures. Hawking’s original formulation suggested that black hole evaporation yields thermal radiation, apparently severing the relation between the initial state and the final emitted state. Quantum theory, however, requires unitary evolution and therefore forbids true information destruction. This paper proposes that the paradox may be more fruitfully interpreted not as a flat binary contradiction between preservation and loss, but as an unresolved boundary-state problem. To clarify that claim, the paper introduces the 101 Phase State as a symbolic formalism for intermediate informational resolution. In this model, +1 denotes preserved or recoverable informational order, -1 denotes apparent loss or thermal unreadability, and 0 denotes the boundary interface at which observational contradiction becomes structurally legible but not yet fully resolved.
The original Wigner’s friend paradox is a gedankenexperiment involving an observer described by an external agent. The paradox highlights the tension between unitary evolution and collapse in quantum theory, and is sometimes taken as requiring a reassessment of the notion of objective reality. In this note, however, we present a classical toy model in which (i) the contradicting predictions at the heart of the thought experiment are reproduced (ii) every system is in a well-defined state at all times. The toy model shows how puzzles such as Wigner’s friend’s experience of being in a superposition, conflicts between different agents’ descriptions of the experiment, the positioning of the Heisenberg’s cut and the apparent lack of objectivity of measurement outcomes can be explained within a classical model where there exists an objective state of affairs about every physical system at all times. Within the model, the debate surrounding the original Wigner’s friend thought experiment and its resolution have striking similarities with arguments concerning the nature of the second law of thermodynamics. The same conclusion however does not apply to more recent extensions of the gedankenexperiment featuring multiple encapsulated observers, and shows that such extensions are indeed necessary avoid simple classical explanations.
This document is part of the Informational Mechanics (IM) framework and is published in the IM-D (Core Physics) series within the IM v0.3 corpus. The paper addresses the black hole information problem by re-examining the physical meaning of information under extreme gravitational collapse. Rather than treating the problem as a conflict between information loss and information preservation, the analysis argues that both alternatives presuppose the continued admissibility of operator-defined information in regimes where the structural conditions required to define information may no longer hold. Within Informational Mechanics, information is defined only where admissible structure exists: stable distinctions, persistent identities, and reproducible correlations supported by operational comparability under disturbance. Under gravitational collapse and evaporation, these conditions fail. In such regimes, the operators required to define, track, or recover information cease to be physically implementable, rendering questions of loss or preservation physically undefined rather than false. This admissibility-based perspective reframes the black hole information paradox without introducing new dynamics, modifying quantum mechanics, or invoking observer-dependent ontologies. Formal unitarity may remain intact at the level of mathematical description, while the physical content of information-bearing correlations becomes inadmissible. The firewall paradox is treated as a direct corollary, arising from an inadmissible demand for simultaneous operator-defined access to interior, exterior, and horizon-spanning descriptions. The paper synthesizes and clarifies the distinct insights associated with Penrose, Hawking, and Susskind by showing that each applies within a different admissible regime. Black holes are treated as local admissibility boundaries, analogous to cosmological regime boundaries analyzed in Regime Condensation Cosmology (IM-D002). This work introduces no new dynamics, models, or experimental fits. Its contribution is disciplinary and structural: to clarify the regime conditions under which “information” is physically defined, and to reclassify the paradox as an inadmissible demand for simultaneous operator-defined access across incompatible regimes.