We propose a novel conceptual framework — the Deterministic Substrate Field (DSF) theory — aimed at completing quantum mechanics via locally deterministic hidden variables defined on a substrate field $\Phi(\mathbf{x},t)$. The DSF reconstructs quantum states as effective statistical descriptions emergent from coarse-graining of substrate trajectories. We derive formal relations linking DSF variables to observed quantum amplitudes, show how entanglement and superposition arise from substrate correlations, and analyze how the substrate dynamics place fundamental constraints on multi-qubit coherence and resource scaling. We propose falsifiable experimental protocols (weak tomography divergences, non-equilibrium signatures, scaling anomalies in GHZ and cluster states, decoherence reversibility tests and hidden-parameter inference) that would either reveal the substrate variables or demonstrate their practical inaccessibility. We discuss why the DSF may render large-scale, fault-tolerant quantum computation physically infeasible, and outline possible new theoretical frameworks to replace or extend quantum mechanics if the substrate hypothesis is confirmed or shown untestable.
We propose a novel conceptual framework — the Deterministic Substrate Field (DSF) theory — aimed at completing quantum mechanics via locally deterministic hidden variables defined on a substrate field Φ(x,t). The DSF reconstructs quantum states as effective statistical descriptions emergent from coarse-graining of substrate trajectories. We derive formal relations linking DSF variables to observed quantum amplitudes, show how entanglement and superposition arise from substrate correlations, and analyze how the substrate dynamics place fundamental constraints on multi-qubit coherence and resource scaling. We propose falsifiable experimental protocols (weak tomography divergences, non-equilibrium signatures, scaling anomalies in GHZ and cluster states, decoherence reversibility tests and hidden-parameter inference) that would either reveal the substrate variables or demonstrate their practical inaccessibility. We discuss why the DSF may render large-scale, fault-tolerant quantum computation physically infeasible, and outline possible new theoretical frameworks to replace or extend quantum mechanics if the substrate hypothesis is confirmed or shown untestable.
Energetic Resonance Field Theory (ERFT), combined with the deterministic energy--information substrate that underlies the theory, provides a physical mechanism from which quantum-like behavior emerges. In this framework, superposition, quantization and entanglement arise as resonant, phase-coherent modes of the substrate rather than as intrinsically probabilistic axioms. If ERFT is experimentally verified, the consequences for quantum technologies are profound: by controlling the substrate modes directly, one may achieve robust coherence, tunable entanglement, deterministic multi-qubit interactions, and quantum processors of arbitrary scale. This paper formalizes these implications, establishes the theoretical basis for emergent quantum behavior in ERFT, and proposes the architecture for next-generation quantum computers unconstrained by the decoherence limits of standard quantum mechanics.
Deterministic Quantum Mechanics (DQM) is a research program investigating whether the probabilistic content of quantum mechanics can be understood as an emergent statistical description of an underlying deterministic physical theory. This paper consolidates the program’s cumulative results into a single account.The central proposal is that a complete microscopic state evolves deterministically, that the quantum state is a coarse-grained ensemble descriptor rather than the complete physical state, and that measurement outcomes are selected by which deterministic basin of an enlarged phase space a microscopic trajectory occupies. Under this proposal, Born probabilities are basin measures rather than fundamental stochastic laws.For a qubit, this program is realized exactly: a hidden variable λ on the unit sphere, a preparation-dependent density μ_r(λ) = [r·λ]₊/π, and the deterministic response A(n,λ) = sgn(n·λ) reproduce the qubit Born rule P(±|r,n) = (1 ± r·n)/2 exactly, together with sequential-measurement statistics and the associated expectation values. This preparation measure is itself shown to be the deterministic pushforward of a uniformly distributed microscopic preparation coordinate, removing any appeal to fundamental preparation-level stochasticity.Measurement is then developed as deterministic basin selection within a finite-time Hamiltonian architecture, with a finite-time stability theorem governing when microscopic perturbations cannot dislodge a trajectory from its basin. Entangled correlations are reproduced by an autonomous, rotationally covariant Bell Hamiltonian containing dynamical setting registers and a conserved-momentum phase shear; this mechanism reproduces the singlet correlation E(a,b) = −a·b and the CHSH value 2√2 in its ideal limit, while preserving exactly uniform local marginals at finite setting inertia and yielding an explicit, quantitatively bounded finite-inertia correction. A finite Hamiltonian bath (Model-C) supplies a deterministic amplification and record-retention mechanism; its analytic structure — including an exact completed-square cancellation of the static bath backreaction and an exact finite-bath spectral equation — is derived independently of, and is shown to survive, a documented numerical implementation failure (the C14 program), which is retained in the record as a diagnosed, non-Hamiltonian right-hand side rather than as evidence against the underlying construction.Extending the program beyond the qubit exposes a genuine mathematical obstruction: no deterministic basin defined directly on the qutrit pure-state manifold ℂP² can reproduce an arbitrary rank-one Born probability, because positivity forces any exact basin onto a measure-zero point. This is proved rigorously. The resolution is not the abandonment of determinism but the enlargement of the hidden state beyond the quantum ray itself, to a genuine mechanical phase space such as the cotangent bundle T*SU(3), on which the quantum state re-emerges as a coarse-grained moment and on which contextual, Kochen–Specker-compatible measurement dynamics can in principle be realized.Throughout, the paper enforces a strict evidentiary hierarchy — mathematical construction, analytic theorem, numerical validation, and experimental confirmation are never conflated — and closes with an explicit account of what has been proved, what remains open, and what would be required to render the program experimentally falsifiable.
This paper presents a novel theoretical model for quantum decoherence based on topological hidden-variable field theory. The core claim is to establish a model that elucidates the physical mechanism of quantum decoherence and offers a new theoretical foundation for research into quantum computation's resilience against decoherence. We posit that quantum decoherence can be viewed as an emergent phenomenon arising from interactions mediated by hidden variables within a topological hidden-variable field structure. The model utilizes mathematical tools derived from topological hidden-variable field theory to formulate and analyze the underlying physical processes. We demonstrate how the topological nature of the hidden-variable fields influences the decoherence process, providing a fresh perspective on this fundamental challenge in quantum information science. The model aims to bridge the gap between quantum mechanics and topological physics, potentially leading to innovative strategies for mitigating decoherence in quantum computing systems. Key parameters and variables are defined within the model, and the theoretical framework is presented with a focus on providing a conceptual understanding of the decoherence mechanism.
This work introduces the Emergent Quantum Substrate (EQS) framework, in which memory is treated as a fundamental physical property rather than an emergent effect of environmental interactions. Within this approach, physical observables such as time, space, energy, and mass are interpreted as arising from the structure and persistence of correlations in an underlying substrate. Interactions generate memory structures whose organization defines effective physical quantities. At the formal level, the framework is described through non-Markovian dynamics governed by memory kernels, leading to a generalized integro-differential formulation that extends standard quantum evolution while recovering the Markovian limit in appropriate regimes. A central aspect of the EQS framework is its connection to experimentally testable predictions. In particular, the theory motivates the possibility that systems prepared through different interaction histories, but brought to identical final conditions, may exhibit distinct dynamical behavior. A concrete realization of this idea is developed in a separate work, where history-dependent quantum tunneling is proposed as an experimentally accessible signature of intrinsic memory effects. This work provides a conceptual and formal foundation for exploring the role of intrinsic memory in quantum systems and establishes a bridge between theoretical formulation and laboratory-scale validation.
This paper develops the operational and phenomenological structure of the Universal Correlational Lattice (UCL), a theoretical framework in which physical laws emerge from a fundamental network of correlational relations rather than from predefined spacetime geometry or wavefunction-based postulates. The UCL is formulated as a correlational substrate composed of sites connected by universal kernels that encode relational structure, internal evolution, and effective dynamics. Within this framework, spacetime, quantum fields, and classical observables are not assumed a priori, but arise as emergent, coarse-grained descriptions of deeper correlational processes. A central focus of this work is the clarification of how the theory operates operationally, i.e. how physical predictions, observables, and effective parameters are extracted from the correlational lattice without invoking traditional quantum-mechanical axioms such as fundamental wavefunctions, intrinsic probabilistic postulates, or instantaneous collapse. Probability appears instead as an emergent, contextual measure associated with partial access to the correlational network and with effective coarse-graining, rather than as a fundamental ingredient of the theory. The paper also develops the phenomenological layer of the UCL, showing how effective quantities—such as masses, coupling strengths, correlation lengths, decoherence scales, and metric-like structures—arise from the properties of the underlying kernels. These effective quantities reproduce familiar physical behavior in appropriate limits, while remaining compatible with a fundamentally deterministic and relational substrate. Special attention is given to: The role of internal times and their evolution as one-parameter flows within correlational sites. The emergence of effective temporal ordering without assuming a global external time. The interpretation of uncertainty, decoherence, and measurement as emergent phenomena linked to incomplete correlational resolution. The distinction between operational predictions and ontological commitments within the framework. This work positions the UCL as a unifying structural framework capable of reproducing known phenomenology while offering a conceptually coherent alternative to standard quantum-mechanical and spacetime-based foundations. The emphasis is placed on clarity of interpretation, operational consistency, and direct connection to measurable effective quantities.
Many physicists limit oneself to an instrumentalist description of quantum phenomena and ignore the problems of foundation and interpretation of quantum mechanics. This instrumentalist approach results to "specialization barbarism" and mass delusion concerning the problem, how a quantum computer can be made. The idea of quantum computation can be described within the limits of quantum formalism. But in order to understand how this idea can be put into practice one should realize the question: "What could the quantum formalism describe?", in spite of the absence of an universally recognized answer. Only a realization of this question and the undecided problem of quantum foundations allows to see in which quantum systems the superposition and EPR correlation could be expected. Because of the "specialization barbarism" many authors are sure that Bell proved full impossibility of any hidden-variables interpretation. Therefore it is important to emphasize that in reality Bell has restricted to validity limits of the no- hidden-variables proof and has shown that two-state quantum system can be described by hidden variables. The later means that no experimental result obtained on two-state quantum system can prove the existence of superposition and violation of the realism. One should not assume before unambiguous experimental evidence that any two-state quantum system is quantum bit. No experimental evidence of superposition of macroscopically distinct quantum states and of a quantum bit on base of superconductor structure was obtained for the present. Moreover same experimental results can not be described in the limits of the quantum formalism.