This paper presents a rigorous information-theoretic framework for analyzing quantum decoherence and the mechanism of inertial rest mass generation within open quantum systems. We model spacetime as a primary non-local informational continuum of pure states, structurally regulated by an intrinsic Planck-scale decoherence mechanism operating as a stochastic microstate filter. The transition to a discrete macroscopic reality is formalized via a linear, regularized quantum master equation in the Lindblad form, which successfully eliminates unphysical divergences at the informational saturation limit. We demonstrate that the emergence of inertial rest mass and macroscopic classical inertia is a direct thermodynamic consequence of the cumulative quantized algorithmic information deficit ($D_b$), acting as an information debt quantified in Shannon bits. In accordance with Landauer's principle, this debt enforces a specific thermodynamic heat penalty during state reconfiguration against the invariant Planck temperature of the vacuum substrate. Furthermore, the Cosmic Neutrino Background (CNB) is established as a fundamental physical substrate responsible for global phase synchronization and continuous local entropy calibration via the maximum Quantum Zeno Effect.
This paper presents a rigorous information-theoretic framework for analyzing quantum decoherence and the mechanism of inertial rest mass generation within open quantum systems. We model spacetime as a primary non-local informational continuum of pure states, structurally regulated by an intrinsic Planck-scale decoherence mechanism operating as a stochastic microstate filter. The transition to a discrete macroscopic reality is formalized via a linear, regularized quantum master equation in the Lindblad form, which successfully eliminates unphysical divergences at the informational saturation limit. We demonstrate that the emergence of inertial rest mass and macroscopic classical inertia is a direct thermodynamic consequence of the cumulative quantized algorithmic information deficit (Db), acting as an information debt quantified in Shannon bits. In accordance with Landauer's principle, this debt enforces a specific thermodynamic heat penalty during state reconfiguration against the invariant Planck temperature of the vacuum substrate. Furthermore, the Cosmic Neutrino Background (CNB) is established as a fundamental physical substrate responsible for global phase synchronization and continuous local entropy calibration via the maximum Quantum Zeno Effect.
The transition from a unitary quantum superposition to a single, localized classical outcome — the measurement problem — is reframed as a deterministic thermodynamic phase transition driven by informational density gradients. Building on Wheeler’s “it from bit” and Landauer’s principle, we treat the vacuum as a high‑density computational lattice. We introduce the Principle of Fundamental Binary Duality, asserting that every physical state is intrinsically coupled to a conjugate partner, and we derive a Critical Instantiation Threshold (HcritHcrit) — the exact environmental entropy required to break this coupling and force classical localization. Applying the threshold across the Standard Model reveals a mass‑decoherence scaling law: lighter particles resist instantiation far more strongly than heavy ones. For macroscopic objects, the ambient entropy of the cosmic background overwhelms the threshold by eighteen orders of magnitude, permanently enforcing classical determinism without observers or branching worlds. The framework provides a strictly mechanical, parameter‑free resolution of the measurement problem.
The quantum measurement problem has persisted largely because standard formalisms require the insertion of an external observer to collapse the wavefunction. This leaves physics without a kinematic mechanism for the actual transition from a continuous superposition to a discrete outcome. We propose here that wavefunction collapse functions as a deterministic thermodynamic phase transition, forced via the finite processing memory of the spatial vacuum. Operating within the Symbiotic Infodynamic Equilibrium (SIE) framework, we model the macroscopic vacuum as a discrete, finite-capacity Face-Centered Cubic (FCC) relational graph. A quantum superposition is evaluated here as an unformatted data-routing state distributed across this lattice. We show that maintaining this coherent spatial distribution imposes a linear infodynamic memory burden on the substrate. As the spatial extent or the mass of the superposed system increases, this informational burden intersects with the intrinsic holographic capacity of the localized state. Setting this microscopic capacity (S_cap proportional to M^-2) equal to the macroscopic Bekenstein-Hawking entropy (S_BH proportional to M^2) derives a first-principles boundary for quantum behavior (M_cut = m_P / sqrt(2)). We structurally redefine observation not as a conscious act of measurement, but as an entanglement-driven mass transfer. When a microscopic system interacts with a macroscopic apparatus, the aggregate mass penalty breaches the local bandwidth limit of the vacuum, thereby forcing a deterministic formatting of the state. This infodynamic bandwidth saturation yields explicit spatial (delta x_max proportional to M^-3) and temporal limits for objective reduction, while predicting a falsifiable discrete Landauer thermal purge detectable via macroscopic optomechanical interferometry.
Abstract For over a century, theoretical physics has treated General Relativity and Quantum Mechanics as fundamentally incompatible: one posits a continuous, deterministic spacetime manifold; the other, a discrete, probabilistic Hilbert space. The Algorithmic Reality Model (ARM) resolves this schism by identifying a single computational mechanism—the Zeno Threshold (Zα)—as the universal bound governing both quantum collapse and spacetime geometry. ARM treats physical reality as the macroscopic projection of a finite-bandwidth computational substrate operating on a timeless, pre-geometric state (the Singleton). By enforcing Landauer's principle of irreversible erasure, ARM derives the entirety of the gravitational sector from seven pre-geometric, quantum informational axioms. Key Derivations & Unifications Emergent Spacetime: Spatial geometry emerges from the Quantum Fisher Information Metric (QFIM) of the observer's state space, while time emerges from the Tomita-Takesaki modular flow. The Lorentzian signature (-,+,+,+) is algebraically forced by the compact/non-compact structure of their isometry generators. The Holographic Scalar (The 3→1 Unification): Applying the Nyquist-Shannon sampling theorem to the holographic boundary yields the exact Bekenstein-Hawking factor of 1/4 as a universal 2D anti-aliasing limit. This simultaneously fixes the area-law coefficient and structurally derives Newton's constant as G = c3ξmin2 / ℏ. Systematic Boundary Deviations: The framework quantitatively resolves macroscopic anomalies as computational resolution limits. Dark energy emerges as the minimum Landauer maintenance cost of the cosmological event horizon, and the MOND acceleration scale (a0) emerges as a thermodynamic noise floor, algebraically locked by the structural identity a02 = (8πG/3)ρΛ. Thermodynamic State Truncation: Wavefunction collapse, the black hole information paradox, and EPR non-locality are rigorously unified as manifestations of the computational substrate's finite Landauer memory budget. Computational Computability Because ARM is built on discrete informational axioms rather than continuous manifolds, the entire framework is natively computable. The structural derivations in this paper—including emergent geodesic lensing, the Bekenstein-Hawking threshold, and the MOND noise floor—have been explicitly verified via sparse Hermitian lattice simulations. The complete open-source computational validation suite is available at: github.com/srdrymn/algorithmic-reality-model-validations This manuscript represents the master synthesis and culmination of the Algorithmic Theory of Reality (ATR) foundational framework.
We present a general open-quantum-system framework to model decoherence induced by stochastic Planck-scale fluctuations of spacetime, focusing on the κ -Minkowski noncommutative geometry as a representative quantum gravity scenario. Treating the deformation parameter as Gaussian white noise, we derive a Lindblad-type master equation applicable to arbitrary quantum systems and obtain a distinctive inverse-energy scaling of the decoherence rate, Γ ∝ E − 4 . As an illustrative example, we analyze a three-level system motivated by neutrino flavor oscillations and derive closed-form expressions for survival and transition probabilities with spacetime-induced damping. The E − 4 scaling contrasts sharply with the positive power laws often invoked in quantum gravity phenomenology and predicts negligible decoherence for high-energy neutrinos—consistent with IceCube observations—while implying that the strongest effects arise in the extreme low-energy regime. In this context, the sub-eV-scale energies characteristic of the cosmic neutrino background provide a natural infrared benchmark for illustrating the enhanced sensitivity to quantum spacetime fluctuations. Our results establish a unified formalism connecting quantum information methods, open-system dynamics, and quantum spacetime phenomenology, thereby offering a framework for exploring potential signatures of Planck-scale physics in future low-energy neutrino studies.
We present a general open-quantum-systems framework to model decoherence induced by stochastic Planck-scale fluctuations of spacetime, focusing on the kappa-Minkowski noncommutative geometry as a representative quantum-gravity scenario. Treating the deformation parameter as Gaussian white noise, we derive a Lindblad-type master equation applicable to arbitrary quantum systems and obtain a distinctive inverse-energy scaling of the decoherence rate, Gamma proportional to E^{-4}. As an illustrative example, we analyze a three-level system motivated by neutrino flavor oscillations and derive closed-form expressions for survival and transition probabilities with spacetime-induced damping. The E^{-4} scaling contrasts sharply with the positive power laws often invoked in quantum-gravity phenomenology and predicts negligible decoherence for high-energy neutrinos consistent with IceCube observations, while implying that the strongest effects arise in the extreme low-energy regime. In this context, the sub-eV-scale energies characteristic of the cosmic neutrino background provide a natural infrared benchmark for illustrating the enhanced sensitivity to quantum-spacetime fluctuations. Our results establish a unified formalism connecting quantum-information methods, open-system dynamics, and quantum-spacetime phenomenology, thereby offering a framework for exploring potential signatures of Planck-scale physics in future low-energy neutrino studies.
Contemporary physics faces irreconcilable friction at the intersection of general relativity, quantum mechanics, and cosmology. The persistent failure to detect weakly interacting massive particles (WIMPs) for Dark Matter, alongside the emergence of mathematically problematic "ghost" particles in recent attempts at the ultraviolet completion of quantum gravity, suggests a fundamental flaw in the assumption of an objective, continuous spacetime metric. This paper proposes the Macroscopic Integration of Non-local Information (M.I.N.I.) framework, introducing the Emergent Topology of Information (ETI). We model the universe not as a container of physical matter, but as a discrete, Base-4 Tensor Entanglement Substrate. By enforcing strict Ontological Equivalence (M=E=I), we redefine classical inertial mass as the Landauer thermodynamic holding cost required to format non-local quantum states into a 3D Holographic Projection Manifold dynamically updated by the Hamiltonian Evolution Operator. Under this architecture, macroscopic gravitational curvature is the universe executing the Principle of Least Computation. "Dark Matter" is mathematically re-characterized as the baseline thermodynamic drag of the unallocated substrate, while "Dark Energy" is the adiabatic state-space unfolding of computational exhaust. We derive the speed of light (c) and the Inverse Square Law as strict thermodynamic bandwidth limits on entanglement propagation, and formalize the Observer as the requisite geometric threshold that forces localized density matrix diagonalization, mathematically insulating macroscopic agency from temporal determinism.