Quantum Information and the Fundamental Phenomenality Hypothesis: A Representation Theorem, Non-Implication Results, and Witness Constraints on Constitutive Quantum Claims
The Fundamental Phenomenality Hypothesis (FPH) identifies phenomenal consciousness with states of a hierarchical generative model, and defines its self-reference component through conditional mutual information, which admits a natural quantum lift. We separate a representational extension, in which classical information measures are replaced by quantum ones, from a constitutive extension, in which a certified nonclassical resource makes a nonredundant causal difference to an FPH variable. For the first we prove a representation theorem: with independently anchored roles in finite dimensions, the lifted functional is well defined, recovers the parent theory exactly on role-compatible product-basis-diagonal states, is invariant under an explicit gauge group, and carries bounded role ambiguity and open-system error through explicit uncertainty bounds, requiring no auxiliary coupling constant and no privileged classicalization map; among lifts linear in the marginal entropies it is the unique one with the correct classical limit. For the second we prove non-implication results: entangled and classical realizations can share every quantity the functional uses, every finite causal experiment admits an exact classical stochastic model, and a scalar measurement cannot separate a small quantum perturbation from a tuned ordinary one to first order. Radical-pair spin chemistry then supplies exact coherence witnesses together with control-theoretic and phase-versus-loss obstructions to implementing them, each stated within its hypotheses. An engineered construction separates a quantum implementation from every matched separable one, and the separation can be certified from three correlators. We close with identifiability results for the parent framework.
The Fundamental Phenomenality Hypothesis (FPH) identifies phenomenal consciousness with states of a hierarchical generative model, and defines its self-reference component through conditional mutual information, which admits a natural quantum lift. We separate a representational extension, in which classical information measures are replaced by quantum ones, from a constitutive extension, in which a certified nonclassical resource makes a nonredundant causal difference to an FPH variable. For the first we prove a representation theorem: with independently anchored roles in finite dimensions, the lifted functional is well defined, recovers the parent theory exactly on role-compatible product-basis-diagonal states, is invariant under an explicit gauge group, and carries bounded role ambiguity and open-system error through explicit uncertainty bounds, requiring no auxiliary coupling constant and no privileged classicalization map; among lifts linear in the marginal entropies it is the unique one with the correct classical limit. For the second we prove non-implication results: entangled and classical realizations can share every quantity the functional uses, every finite causal experiment admits an exact classical stochastic model, and a scalar measurement cannot separate a small quantum perturbation from a tuned ordinary one to first order. Radical-pair spin chemistry then supplies exact coherence witnesses together with control-theoretic and phase-versus-loss obstructions to implementing them, each stated within its hypotheses. An engineered construction separates a quantum implementation from every matched separable one, and the separation can be certified from three correlators. We close with identifiability results for the parent framework.
We develop Plurinoesis, a conditional framework embedding an architectural physicalist theory of consciousness, the Fundamental Phenomenality Hypothesis (FPH), in an Everettian no-collapse ontology. Its minimal positive result is a one-to-many theorem: if unitary dynamics yields two or more robustly decohered observer realizers that satisfy fph and remain causally connected to a common predecessor, that predecessor has several phenomenal successors, without branch hopping or new forces. We show that no scalar can serve as both Born measure and graded identity; that consciousness rules depending only on shared state variables cannot distinguish Everett from equivalent ontologies; and that many-worlds with fph does not entail quantum immortality: no non-Born continuation measure examined fixes the non-continuation mass without postselecting on survivors. Strong quantum immortality is thus closed; quantum persistence, the survival of some causally descended successor, follows structurally; and indefinite quantum persistence reduces to a substrate-neutral question: does physics admit an indefinitely continuing phenomenally positive lineage? In a finite history-complete model this holds exactly when a reachable safe cycle exists; for continuous states it is characterised, at a fixed robustness margin, by a greatest-fixed-point viability kernel with a finite negative certificate. We build a finite reversible architecture realizing the fph roles without logical irreversibility, embed it in a periodic history Hamiltonian with a uniquely selected ground and in local spin models, and eliminate many protection mechanisms. An exact Gram criterion trades which-history records against recoherence, and autonomous sectors cannot communicate. The framework is conditional on its parent premises and empirically unconfirmed; whether such a lineage exists remains open.
Quantum entanglement produces correlations that violate classical locality constraints while remaining fully consistent with relativistic no-signaling. Although standard quantum mechanics predicts these correlations with extraordinary empirical success, the ontological meaning of entangled states and the physical status of wave-function collapse remain deeply debated. This paper develops a speculative but structured informational interpretation in which entangled subsystems are modeled as multiple local realizations of a single shared informational identity within an underlying finite-capacity substrate. The framework is articulated through explicit postulates, density-matrix analysis, entanglement entropy, a toy realization scheme, and an informational identity operator acting on composite states. Within this view, nonlocal correlations arise not from superluminal causal influence but from ontological non-separability at the informational level. Measurement is interpreted as informational resolution: a reduction of degeneracy in the local realization of a shared informational structure. The irreversible stabilization of outcomes is then linked to thermodynamic cost through Landauer-type reasoning. The proposal is not advanced as a replacement for quantum mechanics, nor as a fully worked-out hidden-variable theory, but as an ontological scaffold intended to unify entanglement, collapse, and thermodynamic irreversibility within an informational perspective. Compatibility with Bell inequalities, decoherence, basis selection, and no-signaling is discussed in detail, together with limitations and possible routes toward future formalization and empirical relevance.
Quantum theory describes our universe incredibly successfully. To our classically-inclined brains, however, it is a bizarre description that requires a reimagining of what fundamental reality, or “ontology”, could look like. This thesis examines different ontological features in light of the success of quantum theory, what it requires, and what it rules out. While these investigations are primarily foundational, they also have relevance to quantum information, quantum communication, and experiments on quantum systems. The way that quantum theory describes the state of a system is one of its most unintuitive features. It is natural, therefore, to ask whether a similarly strange description of states is required on an ontological level. This thesis proves that almost all quantum superposition states for d > 3 dimensions must be real—that is, present in the ontology in a well-defined sense. This is a strong requirement which prevents intuitive explanations of the many quantum phenomena which are based on superpositions. A new theorem is also presented showing that quantum theory is incompatible with macro-realist ontologies, where certain physical quantities must always have definite values. This improves on the Leggett-Garg argument, which also aims to prove incompatibility with macro-realism but contains loopholes. Variations on both of these results that are error-tolerant (and therefore amenable to experimentation) are presented, as well as numerous related theorems showing that the ontology of quantum states must be somewhat similar to the quantum states themselves in various specific ways. Extending these same methods to quantum communication, a simple proof is found showing that an exponential number of classical bits are required to communicate a linear number of qubits. That is, classical systems are exponentially bad at storing quantum data. Causal influences are another part of ontology where quantum theory demands a revision of our classical notions. This follows from the outcomes of Bell experiments, as rigorously shown in recent analyses. Here, the task of constructing a native quantum framework for reasoning about causal influences is tackled. This is done by first analysing the simple example of a common cause, from which a quantum version of Reichenbach’s principle is identified. This quantum principle relies on an identification of quantum conditional independence which can be defined in four ways, each naturally generalising a corresponding definition for classical conditional independence. Not only does this allow one to reason about common causes in a quantum experiments, but it can also be generalised to a full framework of quantum causal models (mirroring how classical causal models generalise Reichenbach’s principle). This new definition of quantum causal models is illustrated by examples and strengthened by it’s foundation on a robust quantum Reichenbach’s principle. An unusual, but surprisingly fruitful, setting for considering quantum ontology is found by considering time travel to the past. This provides a testbed for different ontological concepts in quantum theory and new ways to compare classical and quantum frameworks. It is especially useful for comparing computational properties. In particular, time travel introduces non-linearity to quantum theory, which brings (sometimes implicit) ontological assumptions to the fore while introducing strange new abilities. Here, a model for quantum time travel is presented which arguably has fewer objectionable features than previous attempts, while remaining similarly well-motivated. This model is discussed and compared with previous quantum models, as well as with the classical case. Together, these threads of investigation develop a better understanding of how quantum theory affects possible ontologies and how ontological prejudices influence quantum theory.
The hypothesis that physical information is not fundamentally destroyed motivates a mathematical question: can localization, correlation, and effective interaction be generated from an information-based variational principle without inserting the desired interaction potential by hand? We investigate this question in a framework built on the classical Fisher information of probability densities, organized around a strict anti-circularity requirement: no Coulomb kernel, inverse-distance potential, or prescribed interaction law is introduced into the fundamental functional. Several results are established at increasing levels of generality. First, under normalization and a fixed second moment, the Fisher information obeys the sharp bound I[ρ]≥d2/R2I[ρ]≥d2/R2, with equality attained uniquely by the isotropic Gaussian; this solves the one-body constrained problem completely. Second, for any joint density ρ12ρ12 with prescribed marginals, I12[ρ12]≥I[ρ1]+I[ρ2]I12[ρ12]≥I[ρ1]+I[ρ2], with equality attained by the product density; consequently a purely local, block-additive Fisher functional cannot generate an effective interaction at any separation, Keff(R)≡0Keff(R)≡0. Third, this no-go result is shown to be far more robust than the local case alone suggests: for any hidden-variable extension Q(x1,x2,z)Q(x1,x2,z) of a two-body density, ∀ Q(x1,x2,z):I[Q] ≥ I[ρ12] ≥ I[ρ1]+I[ρ2],∀Q(x1,x2,z):I[Q] ≥ I[ρ12] ≥ I[ρ1]+I[ρ2], unconditionally, with no independence, factorization, or weak-coupling assumption placed on the auxiliary variable zz, provided the enlarged functional remains the Fisher information of the enlarged density; no claim is made about enlargements governed by an arbitrary non-Fisher coupling of zz. Within that scope, this closes off an entire class of hidden-variable evasions of the no-go theorem at once, rather than ruling out evasions one construction at a time -- a consequence obtained by combining the superadditivity of Fisher information under marginalization, established by Carlen, with a further marginalization over the auxiliary sector; the contribution of this article is the variational reading of that combination as a no-interaction obstruction, together with an exact conditional-variance identity sharpening its equality case, rather than the underlying information inequality itself. We further characterize equality in the first marginalization step: equality of the full Fisher informations forces the auxiliary sector to factorize and to carry zero Fisher information, so on an unbounded connected auxiliary domain the equality case is impossible for a proper normalized density. We then show, with an explicit lower-bound hypothesis made a formal part of the statement rather than left implicit, that exact vanishing of KeffKeff follows whenever the auxiliary extension is block-factorized across the two subsystems, the governing functional contains no explicit cross-sector coupling term prior to elimination, and the functional obeys a block-additive lower bound over the entire admissible class (not merely on factorized configurations); the Fisher bound supplies this hypothesis automatically in the Fisher case. Conversely, Keff≠0Keff=0 implies that no admissible block-factorized configuration can realize the independent optimum, though the converse implication does not hold without further hypotheses. We then exhibit a concrete construction that violates factorization: an auxiliary scalar field sourced jointly by both subsystems. The functional E[ϕ,ρ]=κ2∫∣∇ϕ∣2−g∫sρϕE[ϕ,ρ]=2κ∫∣∇ϕ∣2−g∫sρϕ produces, after eliminating ϕϕ, a nonlocal quadratic functional with the Green kernel of the Laplacian, yielding a 1/R1/R interaction in three dimensions. We show carefully that this mechanism is not explained by the nonlocality of the map ρ↦ϕρ↦ϕ: a model with two independent, equally nonlocal fields remains sector-separable, and we verify directly (rather than by importing the Fisher-specific bound into a classical field functional, where it does not automatically apply) that its infimum splits additively, giving Keff≡0Keff≡0. The operative property behind the nonzero result is instead that a single shared field is sourced by the total density, which forces a cross term ∫∇ϕA⋅∇ϕB∫∇ϕA⋅∇ϕB absent from any factorized configuration. This mechanism reaches only the third of four levels in an anti-circularity hierarchy that we introduce; whether the field itself can be derived, rather than postulated, from an information-theoretic principle remains open. The resulting framework separates four logically distinct conclusions: a proved localization theorem, a proved no-interaction theorem for local Fisher information, an unconditional lower bound ruling out entire classes of hidden-variable evasions, and a concrete non-factorized extension whose physical interpretation and information-theoretic origin remain to be established. We close by fixing this boundary precisely and organizing the remaining program around a single unresolved question — whether a non-factorized shared mediator can itself be derived from an information-theoretic principle, rather than postulated — so that the present results are used as a fixed starting constraint on that question rather than reopened by it.
The quantum vacuum is a zero-temperature, maximally entangled state whose virtual processes rigorously refuse on-shell propagation and classical localisation. The observable classical world therefore emerges through near-total erasure of ∼10⁹³ bits m⁻³ of vacuum entanglement density. Living human cortex is the only known macroscopic system that reproducibly sustains a small (∼40–150 bits per ∼50 ms perceptual moment) deviation from perfect classical pointer-state purity. Near-critical dynamics combined with an exceptionally low-loss intracerebral electromagnetic cavity below ∼100 Hz allow residual quantum correlations to persist on perceptual timescales. We hypothesise that phenomenal consciousness, the brute fact that experience feels like something, is physically identical to this faint, topologically non-trivial residual quantum entropy deficit: the largest and most persistent deviation from perfect vacuum erasure that thermodynamics permits in a warm, wet, macroscopic critical system. Unity, privacy, finite capacity, and collapse under general anaesthesia then follow from textbook open-quantum-system physics (decoherence, quantum Darwinism, logarithmic entanglement scaling at criticality) without objective collapse, microtubule quantum computation, or any new fundamental fields or forces. A stronger-form extension, triggered by emerging 2024–2025 evidence that conscious perception is carried by an ultra-stable ∼36-bit “refusal manifold” of synaptic transmission failures, identifies the conscious present with exactly one topologically protected anyonic loop excitation of an emergent 2+1D BF theory on the synchronised cortical sheet: a macroscopic “vacuum scar” that the universe fails to erase for one gamma cycle at a time. The hard problem is thereby bounded (not solved) to explaining why the physically permitted residual quantum memory is so extraordinarily small and why it is shaped precisely as human phenomenology reports. Four quantitative, parameter-free, falsifiable predictions are derived for neuroscience, artificial systems, gravitational-wave astronomy, and SETI (2026–2035). Keywordsquantum vacuum · vacuum entanglement · residual quantum entropy · cortical criticality · gamma synchronisation · intracerebral cavity · phenomenal consciousness · hard problem of consciousness · quantum Darwinism · topological order · anyons · BF theory · consciousness theories
We formulate a conditional geometric framework for a phase bypass of a zero sector. The calibrated order parameter is a smooth section of a Hermitian complex line bundle, not a complete normalized quantum state. At a transverse zero, its normalized section has no canonical continuous extension to a full neighbourhood in the original space, whereas its pullback extends uniquely and smoothly to the exceptional boundary of the real oriented blow-up. The boundary value is determined by the vertical derivative and records the incoming normal direction; it does not select an outgoing path. On a controlled scattering component, a Hamiltonian flow supplies the missing dynamical datum under explicit transversality, two-sided non-trapping, completeness, and uniqueness assumptions. The resulting first-exit map is a symplectomorphism and is C1 persistent under small C2 perturbations of shifted Hamiltonians with uniform C3 control and quantitative regularity, flight-time, boundary-separation, and intersection-isolation margins. A Koopman–cocycle operator transports an internal fibre over this map but remains a classical construction unless a separate quantum realization is supplied. For a symmetry-constrained cubic exceptional-point slice, analytic continuation gives exact C3 monodromy, and a companion generator admits a formal GKSL-compatible no-jump embedding after a uniform loss shift. An engineered retain/erase benchmark provides programmed positive control and independently calibrated erase and lifted-EP3 nulls. The register-free bridge forbids deliberate injection of the orientation label, defines a natural carrier as minimal process memory across a certified causal break, and separates Hilbert-space spectral subspaces from Liouville-space operator modes. Exact memory identification is stated as a reversible full-algebra sufficiency criterion. A separate approximate theorem converts finite recovery and predictive-factorization errors into quantitative information and output-distribution bounds. A unified analytic benchmark derives the section, first-exit dynamics, resolved-to-control map, spectral family, and Kato transport from one calibrated joint model. These results define a falsifiable certification programme; they do not claim a completed hardware realization or a universal law of phase bypass.