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REVIEW 5 major objections 5 minor 1 cited by

Algorithmic Idealism II: Reassessment of Competing Theories

T0 review · 5 major / 5 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read This paper argues that identity is an informational pattern—a self-state—so that a perfect copy is the same person, and that reality is an emergent computational process governed by coherence, sufficiency, and observer dependence.

desk verdict A competent restatement of Müller's algorithmic idealism, but the central identity criterion is circular and internally unstable; no new result. read the letter →

arxiv 2501.00022 v1 pith:ZSEL2OOT submitted 2024-12-16 physics.hist-ph quant-ph

Krzysztof Sienicki This is my paper · ORCID
classification physics.hist-phquant-ph
keywords algorithmicidealismself-statepersonalidentityteletransportationparadoxemergentrealityquantumindistinguishabilityobserverdependencecomputationalmetaphysics
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper argues that identity is not anchored to a body or a continuous physical substance but to the informational structure of a self-state: if a recreated or copied self-state is informationally identical to the original, the individual's identity is preserved. On this view, reality is an emergent process governed by computational rules that favor coherence, sufficiency, and observer-dependent experience. The paper uses this framework to dissolve the teletransportation paradox, to connect identity questions to the indistinguishability of quantum particles, and to argue that computational accounts of reality need observer-relevance constraints. The author's central claim is that algorithmic idealism offers a superior lens for ethical, metaphysical, and technological questions in a digital world.

What carries the argument

The central object is the self-state: an abstract pattern that encodes the entirety of an agent's experience at a given moment. The identity criterion it carries does the argument's work: identity is preserved exactly when the informational structure of a self-state is identical, so every realization of the same self-state is the same individual. A second mechanism is the algorithmic transition: reality is described as a process in which computational rules weight which self-states an observer should expect next, with the principles of coherence and sufficiency selecting observer-relevant structure over exhaustive complexity.

What would settle it

A concrete test would be a teletransportation scenario in which the original body is preserved rather than destroyed: if observers or the agents themselves judge that the original and the copy are two distinct persons despite carrying identical self-state information, the reduction of identity to information fails.

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Extended reading notes

Core claim

The central claim is that reality and identity are informational and algorithmic. Identity is defined as the informational structure of a self-state—the abstract pattern encoding everything an agent experiences at a moment—and two instances with identical structure are the same identity, regardless of physical substrate. Reality is a sequence of transitions between self-states, governed by algorithmic probabilities that prioritize coherence, sufficiency, and observer relevance. The paper applies this to quantum mechanics, reading indistinguishability and no-cloning as features of a bounded, information-limited reality, and to competing computational theories, arguing that only observer-relevant subsets of all possible rules generate the realities we experience. If the framework is right, paradoxes about cloning, teletransportation, and digital replication dissolve because 'original' and 'copy' are replaced by equivalence of self-state information.

Load-bearing premise

The load-bearing premise is that identity is fully captured by the informational structure of a self-state, so a perfect copy is the same person; the paper asserts this definition rather than deriving it from prior facts.

Editorial extensions

If this is right

  • A teletransported or cloned person with a perfectly identical self-state is the same person as the original, so the destruction of the original body does not break identity.
  • Ethical questions about brain uploading, cloning, and digital resurrection become questions about preserving informational structure rather than physical substrate.
  • The distinction between physical and simulated realities dissolves: a digital simulation with an identical self-state is as real as a biological body.
  • Computational accounts of reality need a sufficiency constraint, otherwise they drown observers in irrelevant possibilities.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A testable extension: gradual, one-at-a-time replacement of a person's memories and dispositions should preserve identity at every step, even if no single replacement is 'complete'; this could be probed in thought experiments and, eventually, in AI systems.
  • The framework implies that two simultaneous copies with identical self-states are one person, even though legal and social practice treats simultaneous copies as distinct agents; the paper does not spell out this revision of moral accounting.
  • It also suggests an operational criterion for personhood: any entity with a sufficiently rich self-state structure would merit the same identity treatment as a human, connecting directly to current debates about AI consciousness.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

5 major / 5 minor

Summary. The paper surveys several accounts of identity and reality—classical metaphysics, quantum-mechanical indistinguishability and no-cloning, quantum Darwinism, Boltzmann brains, the Ruliad, and Constructor Theory—and argues that Algorithmic Idealism, defined as a computational framework in which identity is carried by informational self-states, resolves Parfit's teletransportation paradox and is superior to all of these alternatives. The central move occurs in §2, where identity is identified with preservation of the informational structure of a self-state, and the conclusion of superiority is drawn in §10.

Significance. The paper accurately reports several quantum information results, including no-cloning, no-broadcasting, and quantum Darwinism, and it engages with a wide philosophical literature from Lem to Parfit to Deutsch and Marletto. If Algorithmic Idealism were formalized and its identity criterion derived, the framework could be a genuinely valuable contribution to the metaphysics of information. As it stands, however, the manuscript offers no formal axioms, no equations, no falsifiable predictions, and no machine-checked proofs; its central claims are asserted through analogy and by definitional stipulation. The strength of the paper is its readable survey of relevant material, not a new argument for its thesis.

major comments (5)
  1. [§2] The load-bearing premise that identity is equivalent to the informational content of a self-state is stipulated rather than derived. The resolution of Parfit's paradox—'If the informational structure of the recreated self-state is identical to the original, then the identity of the individual is preserved'—is exactly the conclusion that the paper needs to establish, so the claimed resolution is circular. The manuscript offers no independent argument for why identity should be defined in this way, and the superiority claim in §10 rests entirely on this stipulation.
  2. [§2] The identity criterion is ambiguous between type-level and token-level readings. If all instances of a self-state are equivalent realizations of the same identity, then two exact copies produced from one original share one identity; after they receive different inputs, the single identity would have two divergent futures, which contradicts the first-person question 'What will I experience next?' that the paper says algorithmic probabilities address. If instead the two copies are distinct observers, equality of self-state does not determine identity, and the §2 criterion is false. The paper never specifies which reading is intended and does not add structure to self-states that would resolve the ambiguity.
  3. [§5] The 'algorithmic no-cloning principle' is introduced without a definition or a derivation. It cannot simply be an extension of the quantum no-cloning theorem, which applies to unknown quantum states in a Hilbert space, whereas the paper gives no analogue for computational processes or self-states. This unexplicated principle is then used to conclude that reality is structured and coherent; that inference is an assertion by analogy rather than an argument.
  4. [§10] The conclusion that algorithmic idealism is 'superior to other theories' is not supported by a comparative evaluation with explicit criteria. The paper asserts that classical metaphysics struggles, that quantum mechanics focuses on physical systems, and that the Ruliad overwhelms with infinite possibilities, but it gives no metric of success, no test cases, and no way to measure 'coherence,' 'sufficiency,' or 'observer-relevance.' Without such criteria, the claimed superiority is a preference, not a finding.
  5. [§2] The paper promises a 'mathematically rigorous framework' for predicting what an agent should expect to experience next, but no equations, axioms, or algorithms are supplied; references [23, 24] are to other papers. This makes it impossible to check the central claim that self-state transitions are governed by algorithmic probabilities.
minor comments (5)
  1. [Title page] The abstract is printed twice, once at the beginning and again after the table of contents, which gives the paper an unfinished appearance.
  2. [§6] There is a typo in the first paragraph: 'reedundancy' should be 'redundancy,' and similar spacing artifacts such as 'individ uality' and 'e xperience' appear in the abstract and elsewhere.
  3. [§4] The text attributes the view that 'quantum states represent not objective truths but informational constructs' to reference [12], but that citation is to Brukner's 'Quantum Causality,' which does not straightforwardly support the gloss given; several other citations are similarly loose.
  4. [§2] The discussion of Parfit is descriptive rather than critical, and it does not engage with Parfit's own arguments about the non-transitivity of psychological connectedness or with the standard objections to identifying identity with psychological continuity.
  5. [References] The reference list is inconsistent in formatting, and the inclusion of reference [2], the author's own book on Captain Scott, is not justified by any evident connection to the paper's argument.

Circularity Check

2 steps flagged · score 8.0 of 10

Central paradox-resolution is achieved by definition: identity is stipulated to be self-state information, so a teleportation copy with identical self-state trivially preserves identity.

  1. self definitional [Section 2 (Reasons and Persons)]
    "Algorithmic Idealism offers a transformative perspective by rejecting the physicalist reliance on material continuity. Instead, it reframes identity as an informational construct defined by self-states—abstract patterns that encode the entirety of an agent’s experience at a given moment. From this perspective, the question of whether the teletransported individual is “the same” becomes irrelevant. If the informational structure of the recreated self-state is identical to the original, then the identity of the individual is preserved."

    Parfit's teletransportation question is whether the replica is the same person. The paper answers in the affirmative by stipulating that identity just is the informational structure of the self-state. The conclusion that an identical self-state preserves identity is not derived from independent premises; it is the definition of identity adopted in the same passage. The later resolution—treating all instances of a self-state as equivalent realizations of the same identity—is that definition restated. The paradox is therefore dissolved by choosing a criterion that guarantees the answer, not by an argument that the criterion is correct.

  2. self definitional [Abstract (and echoed in Section 10)]
    "By redefining identity as an informational construct and reality as a process shaped by algorithmic transitions, algorithmic idealism resolves foundational paradoxes and offers a superior lens for understanding existence in an increasingly digital and interconnected world."

    The abstract itself frames the move as a redefinition. The claimed resolution of foundational paradoxes and the claimed superiority of algorithmic idealism are the content of that redefinition rather than consequences derived from it. The framework's axioms already assert that reality emerges from computational rules, so concluding that reality is an emergent computational process is equivalent to the input definition. Section 10's comparative verdict—'algorithmic idealism emerges as the most compelling framework'—is reached by applying those assumed definitions rather than by testing them against independent criteria. The advertised unification is thus built into the definitions.

full rationale

The paper's central claims are circular in the self-definitional sense. Section 2 defines identity as the informational structure of self-states and then uses that definition to conclude that a teletransported copy with identical self-state is the same individual, thereby 'resolving' Parfit's paradox. This is not derived from Parfit's premises or from independent evidence; it is the adopted meaning of 'identity'. The Abstract and Section 10 similarly state that by redefining reality as algorithmic process, algorithmic idealism resolves paradoxes and is superior; the conclusion is contained in the definitional premise. I found no fitted-parameter prediction, no load-bearing self-citation (the cited algorithmic-idealism papers are by Markus Müller, not the present author), and no imported uniqueness theorem. The circularity is concentrated in the definitional core: whatever the framework's other merits, its advertised resolution of the identity paradox and its superiority claim reduce to the stipulations that identity is self-state information and reality is algorithmic. This warrants a score of 8 rather than a higher score because the definitional step is explicit and the paper does not disguise it as an empirical derivation; it is still the load-bearing move.

Assumptions & free parameters 0 free parameters · 5 assumptions · 1 invented entities

The central claim rests almost entirely on axioms imported from Müller's algorithmic idealism and on accepted or contested physics used rhetorically. No numerical free parameters are fitted because the paper contains no quantitative model. The main definitional move, equating identity with self-state information, is an ad hoc postulate that forces the claimed resolution of Parfit's paradox.

assumptions (5)
  • domain assumption Reality is an emergent construct governed by computational rules prioritizing coherence, sufficiency, and observer-dependent experiences.
    Stated in the Abstract and §10 as the core thesis; no derivation is offered in this paper, and it is imported from Müller's program [19,23,24].
  • ad hoc to paper Identity is equivalent to the informational content of a self-state.
    Invoked in §2 to resolve Parfit's teleportation paradox; this definition is the conclusion the paper wants to establish, making the argument circular at the definitional level.
  • standard math Quantum no-cloning and no-broadcasting theorems and the Holevo bound impose fundamental limits on information.
    Cited in §§4-5 from Nielsen and Chuang [9] and Horodecki et al. [14]; these are established results accepted as background.
  • domain assumption Quantum Darwinism correctly explains the emergence of classical reality via redundant pointer states.
    Adopted from Zurek [13] in §§6-7; this is an active research program, not a settled physical law, and the paper uses it as evidence for algorithmic idealism.
  • domain assumption Boltzmann brains are improbable in a structured universe and represent chaotic, non-coherent observers.
    Assumed in §7 based on Carroll [15] and Albrecht and Sorbo [16]; used to argue that algorithmic idealism suppresses random observers, though the connection is asserted rather than demonstrated.
invented entities (1)
  • Algorithmic no-cloning principle
    purpose: Extends the quantum no-cloning theorem to computational systems to argue that reality prevents redundancy and preserves uniqueness.
    Introduced in §5 with no formal statement, derivation, or observable consequence; it is an analogy, not a theorem.

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Cite this review

Pith. "Pith review of Algorithmic Idealism II: Reassessment of Competing Theories." pith.science (2026). https://pith.science/paper/ZSEL2OOT

@misc{pith2026250100022,
  author       = {Pith},
  title        = {Pith review of: Algorithmic Idealism II: Reassessment of Competing Theories},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/ZSEL2OOT}},
  note         = {Machine review of arXiv:2501.00022}
}
read the original abstract

This paper explores the intersection of identity, individuality, and reality through competing frameworks, including classical metaphysics, quantum mechanics, and computational theories. Traditional metaphysical notions of fixed identity are challenged by advancements in cloning, teletransportation, and digital replication, which reveal the fluid and relational nature of individuality. Quantum mechanics further complicates these notions, emphasizing the indistinguishability and contextuality of fundamental particles. Computational approaches, such as the Ruliad and Constructor Theory, offer expansive views of emergent realities but often lack practical constraints for observer relevance. Algorithmic idealism is introduced as a unifying framework, proposing that reality is an emergent construct governed by computational rules prioritizing coherence, sufficiency, and observer-dependent experiences. By redefining identity as an informational construct and reality as a process shaped by algorithmic transitions, algorithmic idealism resolves foundational paradoxes and offers a superior lens for understanding existence in an increasingly digital and interconnected world. The framework bridges gaps between competing theories, providing a coherent and pragmatic model for addressing ethical, metaphysical, and technological challenges.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Algorithmic Idealism III: "Algorithmic State" Formulation of Quantum Mechanics

    physics.hist-ph 2025-01 reject novelty 4.0 of 10

    The paper restates quantum mechanics as utility-maximizing self-state transitions, but its central equations re-assert the Born rule rather than deriving it from algorithmic probability.

Reference graph

Works this paper leans on

24 extracted references · 18 canonical work pages · cited by 1 Pith paper

  1. [1]

    Cybernetic Futures: Stanislaw Lem, ’Summa Technologiae’,

    Andrew Pickering, "Cybernetic Futures: Stanislaw Lem, ’Summa Technologiae’," Technology and Culture , vol. 55, no. 1, pp. 245–248, 2014. [Online]. A vailable: http://www.jstor.org/stable/24468409. [Accessed: Dec. 7, 2024]

    work page arXiv 2014

  2. [2]

    [Online]

    Krzysztof Sienicki, Captain Scott: Icy Deceits and Un- told Realities , Open Academic Press, 2016. [Online]. A vailable: https://archive.org/details/captain-scott-icy-decei ts-and-untold-realities-by-krzysztof-sienicki/mode/ 2up [Accessed: Dec. 11, 2024]

    work page 2016

  3. [3]

    Derek Parfit, Reasons and Persons , Oxford University Press, 1987

    work page 1987

  4. [4]

    Tomasz Bigaj, Identity and Indiscernibility in Quantum Mechanics , Springer, 2022

    work page 2022

  5. [5]

    Identity and Individual ity in Quantum Theory,

    Steven French and Tomasz Bigaj, "Identity and Individual ity in Quantum Theory," in The Stanford Encyclopedia of Philosophy , E. N. Zalta and U. Nodelman, Eds., Spring 2024 ed., Metaphysics Research Lab, Stanford University, 2 024. [Online]. A vailable: https://plato.stanford.edu/archives/spr2024/entries/qt-idind/

    work page 2024

  6. [6]

    Decoherence, Einselection, an d the Quantum Origins of the Classical,

    Wojciech Hubert Zurek, "Decoherence, Einselection, an d the Quantum Origins of the Classical," Reviews of Modern Physics , vol. 75, no. 3, pp. 715–775, 2003, American Phys- ical Society (APS), doi: 10.1103/RevModPhys.75.715

    doi:10.1103/revmodphys.75.715 2003

  7. [7]

    Carlo Rovelli, Physics and Philosophy: The Revolution in Modern Science , Penguin Books, 2018

    work page 2018

  8. [8]

    David Wallace, The Emergent Multiverse: Quantum Theory According to the Ev erett Interpretation, Oxford University Press, 2012

    work page 2012

Show all 24 references
  1. [9]

    Nielsen and Isaac L

    Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Infor- mation: 10th Anniversary Edition , Cambridge University Press, 2010

    2010

  2. [10]

    Quantum Theory from Five Reasonable Axi oms,

    Lucien Hardy, "Quantum Theory from Five Reasonable Axi oms," arXiv preprint, 2001. [Online]. A vailable: https://arxiv.org/abs/quant-ph/0101012

    2001 arXiv

  3. [11]

    Evidence for the Epistemic View of Quantum States: A Toy Theory,

    Robert W. Spekkens, "Evidence for the Epistemic View of Quantum States: A Toy Theory," Physical Review A, vol. 75, p. 032110, 2007, doi: 10.1103/PhysRevA.75.032110

    2007 doi

  4. [12]

    Quantum Causality,

    Caslav Brukner, "Quantum Causality," Nature Physics, vol. 10, pp. 259–263, 2014, doi: 10.1038/nphys2930

    2014 doi

  5. [13]

    Quantum Darwinism,

    Wojciech H. Zurek, "Quantum Darwinism," Nature Physics, vol. 5, pp. 181–188, 2009, doi: 10.1038/nphys1202

    2009 doi

  6. [14]

    Quantum- ness of Ensemble from No-Broadcasting Principle,

    Michał Horodecki, Paweł Horodecki, Ryszard Horodecki , and Marco Piani, "Quantum- ness of Ensemble from No-Broadcasting Principle," International Journal of Quantum Information, vol. 4, no. 1, pp. 105–118, 2006. 19

    2006

  7. [15]

    Why Boltzmann Brains Are Bad,

    Sean M. Carroll, "Why Boltzmann Brains Are Bad," arXiv preprint , 2017. [Online]. A vailable:https://arxiv.org/abs/1702.00850

    2017 arXiv

  8. [16]

    Can the Universe A fford Inflation?,

    Andreas Albrecht and Lorenzo Sorbo, "Can the Universe A fford Inflation?," Physical Review D , vol. 70, p. 063528, 2004, doi: 10.1103/PhysRevD.70.063528

    2004 doi

  9. [17]

    The Ruliad: A Path to the Fundamental The- ory of Physics,

    Stephen Wolfram, "The Ruliad: A Path to the Fundamental The- ory of Physics," Wolfram Physics Project , 2021. [Online]. A vailable: https://www.wolframphysics.org/technical-introduction/the-ruliad/

    2021

  10. [18]

    Stephen Wolfram, A New Kind of Science , Wolfram Media, 2002

    2002

  11. [19]

    Algorithmic Information, Inductio n and Observers in Physics,

    Markus P. Müller, "Algorithmic Information, Inductio n and Observers in Physics," arXiv preprint , 2021. [Online]. A vailable: https://arxiv.org/abs/2103.01989

    2021 arXiv

  12. [20]

    Gaia as Solaris: An Alternative Default Evolutionary Trajectory,

    Srdja Janković, Ana Katić, and Milan M. Ćirković, "Gaia as Solaris: An Alternative Default Evolutionary Trajectory," Origins of Life and Evolution of Biospheres , vol. 52, no. 1–3, pp. 129–147, 2022, doi: 10.1007/s11084-022-09619-6

    2022 doi

  13. [21]

    Constructor Theory,

    David Deutsch, "Constructor Theory," Synthese, vol. 193, no. 10, pp. 3355–3373, 2015

    2015

  14. [22]

    Constructor Theory of Information,

    Chiara Marletto, "Constructor Theory of Information, " Proceedings of the Royal Society A, vol. 471, no. 2174, p. 20140579, 2015

    2015

  15. [23]

    Law without Law: From Observer State s to Physics via Algorithmic Information Theory,

    Markus P. Müller, "Law without Law: From Observer State s to Physics via Algorithmic Information Theory," Quantum, vol. 4, p. 301, 2020

    2020

  16. [24]

    Algorithmic Idealism: What Should Y ou Believe to Experience Next?,

    Markus P. Müller, "Algorithmic Idealism: What Should Y ou Believe to Experience Next?," arXiv preprint, 2024. [Online]. A vailable: https://arxiv.org/abs/2412.02826. 20

    2024

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