Traditional theories of information transmission, both classical and quantum, assume that information is evaluated within a fixed and flat informational measure. Recent developments in the theory of nonlocal unification challenge this assumption by treating information as a conserved quantity whose observable manifestations depend on relational and nonlocal structure. In this paper, we develop a rigorous account of data transmission in what we term the Unified Regime, where informational observables arise as stationary quantities of a nonlocal informational action. Using Theorem A.1 of Prajnanabha, Vol. 1, Issue 1, we derive the unified (NU) entropy as a weighted logarithmic functional without assuming pointwise observer action. We show how additivity follows from the minimum interaction principle (Example 6), define unified channel capacity, and compare it with classical Shannon and quantum Holevo capacities for free-space optical (FSO) channels. The resulting framework preserves all physical channel constraints while revealing a principled capacity enhancement driven by informational geometry.
Traditional theories of information transmission, both classical and quantum, assume that information is evaluated within a fixed and flat informational measure. Recent developments in the theory of nonlocal unification challenge this assumption by treating information as a conserved quantity whose observable manifestations depend on relational and nonlocal structure. In this paper, we develop a rigorous account of data transmission in what we term the Unified Regime, where informational observables arise as stationary quantities of a nonlocal informational action. Using Theorem A.1 of Prajnanabha, Vol. 1, Issue 1, we derive the unified (NU) entropy as a weighted logarithmic functional without assuming pointwise observer action. We show how additivity follows from the minimum interaction principle (Example 6), define unified channel capacity, and compare it with classical Shannon and quantum Holevo capacities for free-space optical (FSO) channels. The resulting framework preserves all physical channel constraints while revealing a principled capacity enhancement driven by informational geometry.
Overview & Core Thesis This treatise introduces a minimalist, first-principles reformulation of information theory and its transmission across classical and quantum mechanical domains. Moving away from traditional paradigms that view information through probabilistic ensembles, syntactic structures, or signal propagation speed limits, this framework defines information fundamentally as a discrete, structureless, 1-bit event () occurring within a synchronized temporal clock window. By shifting the focus from probabilistic messages to direct event detection within synchronized time windows, standard classical formalisms (such as Shannon entropy, Gabor time-frequency bounds, and von Neumann entropy) are recovered as aggregated macro-phenomena. In the quantum domain, this shift bypasses standard speed-of-light constraints and no-signaling prohibitions without violating relativistic causality. Key Principles & Theoretical Framework Quantization of Information: Reduces information to its indivisible, minimal binary unit ( for equal probabilities), stripped of syntax, semantics, or continuous signal assumptions. Transmission via Redundant Detection: Establishes classical transmission as reliable event detection through redundant channels and majority voting, recasting channel noise as an engineering challenge rather than a theoretical speed limit. Instantaneous Manifestation of State Change (IMSC): In the quantum regime, transmission shifts to IMSC governed by the Operational Axiom of Entanglement. A local classical action on one part of an entangled system instantaneously and deterministically manifests as a correlated change on the spatially separated part of a single, unified non-local state. Re-evaluating Relativistic and Quantum Constraints: Demonstrates that Special Relativity (STR), the No-Signaling Theorem, and Bell/EPR prohibitions apply strictly to propagating signals, flying qubits, or independent statistical subsystems—not to stationary matter proxies (e.g., NV-centers in diamond) forming a single, unified non-local quantum state with synchronized Quantum Non-Demolition (QND) sampling. Treatise Structure & Volumes Overview The treatise is organized into six core volumes spanning theoretical foundations, architectural specifications, and hardware implementation: Volume I: Introduction: Establishes the core premise, scope, engineering objectives, and structural roadmap. Volume II: The Foundations: Formulates the Minimal Event-Based Theory of Information (MEBTI) and details why classical relativistic/quantum constraints are inapplicable to stationary NV-center QND systems. Volume III: System Architecture: Details the v2.0 Symmetrical Node Topology, clock-driven timing budgets (), Q-TWTT synchronization, and the "Quantum Morse Code" execution chain. Volume IV: Abstract & General Systems: Domain-agnostic event models, Directed Acyclic Graph (DAG) causal flows, logic schematics, and Python/QuTiP validation scripts. Volume V: Classical & Quantum Systems: Specializations for classical propagating channels (majority voting logic, rate/place neural encodings) and quantum non-local channels (NV-center spin mapping and SQUID flux sampling). Volume VI: Engineering & Appendices: Finite State Machines (FSMs), CAD exploded views, COTS Bill of Materials (BOM), Failure Mode Analysis (FMA), and detailed troubleshooting matrices. Verification & Validation Methods The framework is validated through a three-tier quantitative methodology: Numerical & Quantum Simulations: Multi-run Python and QuTiP scripts verifying discrete state transitions, deterministic detection rates under low-noise conditions, and sub-interval IMSC checks. Knowledge Graph Reasoning: Directed Acyclic Graphs (DAGs) modeling causal event flows from sender triggers to receiver detections to guarantee non-cyclicity and paradox-free causality. COTS Hardware Alignment: Complete architectural mapping onto commercial off-the-shelf components, including high-brightness SPDC photon sources, diamond NV-center memories, microwave pulse actuators, and high- SQUID arrays.
We define classical quantum multiway channels for transmission of classical information, after recent work by Allahverdyan and Saakian. Bounds on the capacity region are derived in a uniform way, which are analogous to the classically known ones, simply replacing Shannon entropy with von Neumann entropy. For the single receiver case (multiple-access channel) the exact capacity region is determined. These results are applied to the case of noisy channels, with arbitrary input signal states. A second issue of this work is the presentation of a calculus of quantum information quantities, based on the algebraic formulation of quantum theory.
This study posits that information is a conserved and fundamental quantity underlying the dynamics of quantum systems, classical measurement, and consciousness. Building on the author’s conservation of information principle and the theory of Local Consciousness Instruments (LCIs), we integrate this view with Hardy’s reconstruction of quantum mechanics and reinterpret Einstein’s field equations as emergent expressions of informational geometry. We propose that a global structure, termed Nonlocal Consciousness (NC), unifies quantum theory and spacetime by serving as an informational limit toward which all observers converge. This framework presents a paradigm in which quantum and gravitational phenomena arise from a universal informational field. The theory is falsifiable through probes investigating quantum gravity corrections to canonical commutation relations.
We define classical quantum multiway channels for transmission of classical information, after the previous work by Allahverdyan and Saakian (see Quantum Computing and Quantum Communications (Lecture Notes in Computer Science). Berlin, Germany: Springer-Verlag, vol.1509, 1999). Bounds on the capacity region are derived in a uniform way, which are analogous to the classically known ones, simply replacing Shannon (1961) entropy with von Neumann (1955) entropy. For the single receiver case (multiple-access channel) the elect capacity region is determined. These results are applied to the case of noisy channels, with arbitrary input signal states. A second issue of this work is the presentation of a calculus of quantum information quantities, based on the algebraic formulation of quantum theory.
This work presents an extended, mathematically complete formulation of the Information Geometry Unification Principle (IGUP), a foundational framework in which quantum mechanics, statistical thermodynamics, general relativity, and spacetime geometry emerge from a single information-theoretic ontology. We begin with rigorous axioms defining information as the primary physical substance, then systematically construct the Bures–Fisher–Rao metric on the manifold of quantum density matrices. We derive the universal information action functional and perform full variational derivations to obtain the unified field equations. We show explicitly how standard physical theories including the Schrödinger equation, Heisenberg picture, Liouville mechanics, classical thermodynamics, and Einstein field equations are recovered in appropriate limiting regimes. We further derive geometric expressions for entanglement, entropy, temperature, energy, and force. The theory resolves longstanding conceptual tensions between unitary quantum evolution and gravitational irreversibility, provides a natural resolution to the black hole information paradox, and yields eight concrete, experimentally testable predictions. This extended version includes full tensor calculus, covariant derivatives, curvature expansions, and limit theorems, amounting to a self-contained theory of everything based on Geometry=Information.
We provide lower and upper bounds on the information transmission capacity of one single use of a classical-quantum channel. The lower bound is expressed in terms of the Hoeffding capacity, which we define similarly to the Holevo capacity but replacing the relative entropy with the Hoeffding distance. Similarly, our upper bound is in terms of a quantity obtained by replacing the relative entropy with the recently introduced max-relative entropy in the definition of the divergence radius of a channel.