DISCLAIMER: PRELIMINARY DRAFT VERSION This manuscript represents a preliminary working draft (Version 1.0.0, August 2026) published for community discussion, peer review, and early feedback. The theoretical frameworks, mathematical derivations, and arguments presented herein are subject to ongoing refinement. The author welcomes constructive feedback, technical audits, and collaborative review. Abstract & Executive Summary A Minimalistic Theory of Quantized Information* introduces a minimalist, first-principles reformulation of information and its transmission across classical and quantum mechanical domains. Rather than viewing information through probabilistic ensembles, continuous waveforms, or signal propagation, this work reduces information to its indivisible unit: a structureless, 1-bit event (presence = 1, absence = 0) occurring within a synchronized clock interval. By shifting focus from complex probabilistic message encoding to direct event detection, the framework demonstrates that standard classical formalisms (Shannon entropy, Gabor time-frequency bounds, and von Neumann entropy) naturally emerge as statistical aggregations of discrete events. In the quantum domain, transmission transforms into **Instantaneous Manifestation of State Change (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 corresponding change on a spatially separated part. Key Contributions & Theoretical Highlights Information Quantization: Defines information as a discrete, structureless binary event $H(E) = 1$ bit, independent of syntax, semantics, or continuous wave assumptions.Classical Reliability: Demonstrates that transmission noise is an engineering variable solvable through multi-channel redundancy and majority voting, recovering high reliability .Rebuttal to Standard Physics Constraints: Explains why the Bell/EPR family of experiments, Einstein's Special Theory of Relativity (STR), and the Quantum No-Signaling Theorem do not apply to zero-time manifestation across a single, unified non-local quantum state.Dual Methodological Verification: Validated via numerical multi-run simulations (NumPy and QuTiP) and Causal Knowledge Graph Reasoning (Directed Acyclic Graphs / DAGs) to confirm non-cyclic, paradox-free causality. Structure: The Formalism 1.Introduction & Overview: Rethinking information from first principles.2. Real-World Event-Based Communication Systems: Historical, biological (neural rate/place codes), and digital protocols (UART, SPI).3. Definition of Information & Transmission: Mathematical definitions of quantized events, majority voting, and IMSC.4.Core Claims – Classical Domain: Derivations showing classical theories as event aggregations.5. Core Claims – Quantum Mechanical Domain:** Formalism of instantaneous state manifestation and Python/QuTiP verification.6. Rebuttal to Bell/EPR Experiments: Distinguishing faster-than-light signaling from zero-time joint-state manifestation.7. Rebuttal to No-Signaling Theorem & STR: Demonstrating why spacetime signal constraints do not govern non-locally unified states. Author Information & AI Disclosure Author: Sagar Kapadia (Independent Researcher, Surat, Gujarat, India)ORCID: [0009-0006-3092-4054](https://orcid.org/0009-0006-3092-4054)Statement of AI Assistance: This manuscript was prepared with analytical and structural writing assistance from Google Gemini AI under the direct design control and direction of the author. A full disclosure appears in the front matter of the document.
DISCLAIMER: PRELIMINARY DRAFT VERSION This manuscript represents a preliminary working draft (Version 1.0.0, August 2026) published for community discussion, peer review, and early feedback. The theoretical frameworks, mathematical derivations, and arguments presented herein are subject to ongoing refinement. The author welcomes constructive feedback, technical audits, and collaborative review. Abstract & Executive Summary A Minimalistic Theory of Quantized Information* introduces a minimalist, first-principles reformulation of information and its transmission across classical and quantum mechanical domains. Rather than viewing information through probabilistic ensembles, continuous waveforms, or signal propagation, this work reduces information to its indivisible unit: a structureless, 1-bit event (presence = 1, absence = 0) occurring within a synchronized clock interval. By shifting focus from complex probabilistic message encoding to direct event detection, the framework demonstrates that standard classical formalisms (Shannon entropy, Gabor time-frequency bounds, and von Neumann entropy) naturally emerge as statistical aggregations of discrete events. In the quantum domain, transmission transforms into Instantaneous Manifestation of State Change (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 corresponding change on a spatially separated part. Key Contributions & Theoretical Highlights Information Quantization: Defines information as a discrete, structureless binary event H(E)=1 bit, independent of syntax, semantics, or continuous wave assumptions.Classical Reliability: Demonstrates that transmission noise is an engineering variable solvable through multi-channel redundancy and majority voting, recovering high reliability .Rebuttal to Standard Physics Constraints: Explains why the Bell/EPR family of experiments, Einstein's Special Theory of Relativity (STR), and the Quantum No-Signaling Theorem do not apply to zero-time manifestation across a single, unified non-local quantum state.Dual Methodological Verification: Validated via numerical multi-run simulations (NumPy and QuTiP) and Causal Knowledge Graph Reasoning (Directed Acyclic Graphs / DAGs) to confirm non-cyclic, paradox-free causality. Structure: The Formalism 1.Introduction & Overview: Rethinking information from first principles.2. Real-World Event-Based Communication Systems: Historical, biological (neural rate/place codes), and digital protocols (UART, SPI).3. Definition of Information & Transmission: Mathematical definitions of quantized events, majority voting, and IMSC.4.Core Claims – Classical Domain: Derivations showing classical theories as event aggregations.5. Core Claims – Quantum Mechanical Domain:** Formalism of instantaneous state manifestation and Python/QuTiP verification.6. Rebuttal to Bell/EPR Experiments: Distinguishing faster-than-light signaling from zero-time joint-state manifestation.7. Rebuttal to No-Signaling Theorem & STR: Demonstrating why spacetime signal constraints do not govern non-locally unified states. Author Information & AI Disclosure Author: Sagar Kapadia (Independent Researcher, Surat, Gujarat, India)ORCID: 0009-0006-3092-4054Statement of AI Assistance: This manuscript was prepared with analytical and structural writing assistance from Google Gemini AI under the direct design control and direction of the author. A full disclosure appears in the front matter of the document.
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.
The no-signaling theorem asserts that quantum entanglement cannot be used to transmitcontrollable information between spacelike-separated parties, preserving relativistic causality Peres [1995]. This paper introduces the Minimalist Event-Based Theory of Information(MEBTI), which defines information as the reliable detection of a binary event deliberately triggered or not triggered at will by an agent. Under MEBTI, we re-evaluate theno-signaling theorem’s universality, arguing that its reliance on classical definitions of information (e.g., Shannon’s ensemble statistics or von Neumann’s state uncertainty Nielsenand Chuang [2000]) renders it ontologically limited. MEBTI bypasses these constraints byfocusing on single, agent-triggered events, challenging the theorem’s applicability to all conceivable definitions of information. While the theorem remains a valid physical constraintwithin standard quantum mechanics, we propose new experiments designed under MEBTIto empirically test whether instantaneous information transmission via entanglement is possible, potentially reshaping our understanding of quantum non-locality
What is information? A short answer could be: Anything that changes our minds and states of thinking! Information is virtual. It can be carried by speech, an image, scratches on a stone, patterns in a photon field, the connections of neurons in our brains or even by the wavefunction of an electron. Information does not depend on the actual means of transmission nor does its identity change when changing the carrier. Information is physical. It needs to be sustained by a physical substrate and rearranging that substrate to contain the wanted information requires to spend energy or work. Without a physical world, information can not be stored, processed, or transmitted. Our world is permeated with different representations of information. Actually Information about the physical laws governing our Universe can be found everywhere and in everything. Could it then be that the real fundamental elements of this world are tiny bits of information? Could we get it from bit?1 A number of researcher investigate this possibility, and several of their attempts to recover physical laws from the principles governing information are reported about in this special issue on physics of information. The articles by Gregg Jaeger,2 by Ariel Caticha,3 and by John Skilling and Kevin Knuth4 address the reconstruction of quantum mechanics from information theory. Furthermore, Kevin Knuth and James Walsh5 show how to recover space-time from particles sending each others signals in an initially geometry-free setting. A central element of most works on information is the concept of a probability. Probabilities can be defined via various routes. Most familiar might be their definitions by the frequentists school as relative frequencies of events (in the limit of infinite amounts of such). A more general definition of probabilities is the Bayesians' one, which regards probabilities as quantifiers of statements, expressing how much those should be expected to be true. Although this definition looks subjective on the first glance, it rests on a solid mathematical theorem by Richard Cox6 that any extension of binary logic to a continuum of single valued truthfulness quantifier that respects a minimum of requirements must be isomorphic to probability theory. And this definition turns out to embrace the frequentists' definition in case that infinite numbers of comparable events are actually available and can be counted. The majority of authors of this special issues seem to favor the Bayesian perspective, which is probably a result of our own, the guest editors', preference and not necessarily a reflection of the prevailing position of contemporary scientists. The different views on probabilities of frequentists and Bayesians are addressed by the article of Allen Caldwell.7 He builds a bridge between these antagonistic camps by explaining frequentists' constructions in a Bayesian language. In particular, his argumentation why the omnipresent p-value in statistical and experimental literature might often capture a relevant signal of model misfit is reassuring, given that a large fraction of our medical system is based on decisions backed up by p-values. A Bayesian might add that it would be even more reassuring, if a system rigorously build on logic and its continuous extension would be used for decisions affecting live-or-death questions. The laws governing probabilities themselves seem to reflect that of more elementary mathematical structures. Kevin Knuth shows how these emerge from lattice theory, which deals with relations in partially ordered sets like that of collections of possibilities.8 The sum rule of probability theory is a direct consequence of the underlying lattice structure. Interestingly, a number of other theories are resting also on such lattices and therefore exhibit their own versions of sum rules: measures of sets, mutual information, the Euler characteristics of topological spaces, as well as quantum mechanical interactions that are quantified by pairs of numbers, the real and imaginary parts of complex probability amplitudes (see also4). The theory of information has very practical application in physics and elsewhere. Manfred Opper discusses how the solutions of stochastic differential equations can be inferred via variational methods, which have their origin in thermodynamics.9 Torsten Enßlin introduces information field theory (IFT), the information theory for fields, as a means to infer the configuration of a physical field from incomplete and noisy data.10 The mathematical apparatus for this is that of quantum field theory (QFT), just with ordinary probabilities instead of complex probability amplitudes as in the latter. Could it be that the difference between IFT and QFT is just be the same as between classical information theory and quantum mechanics, the transition from real valued to complex valued quantifier for statements? Anyhow, any practical inference machinery, be it for dynamical systems or for fields, requires sophisticated numerical methods. Michael Betancourt reviews Markov Chain Monte Carlo Methods to calculate expectation values over high dimensional probabilities.11 Theo Steininger and coworkers present the NIFTy3 software package for numerical information field theory calculations, which can handle very high dimensional field inference problems.12 Finally, in an article focused on the subtleties of the Monty Hall problem and mostly aiming at information theoretical entertainment, Torsten Enßlin and Margret Westercamp investigate the possibility that human intuition might be more rational than contemporary psychology thinks.13 A number of possible topics for an issue on physics of information are not addressed here. We would have loved to have articles on Landauer's principle, which states that erasing information has to cost energy, on QBism, a Bayesian version of quantum mechanics, on artificial and biological neural networks, as well as any other aspect of the information-soaked biological world. What has a reader of this special issue to be equipped with in order to follow the lines of thoughts? In addition to the usual physicist's education, the minimal additional equipment are the basics of probability theory and the concept of entropy. Most of the other concepts used in the articles rest on those and are introduced there. Let A, B, and C be propositions (or possibilities). The probability P ( A | B ) of A being true assuming that B is true is a number between 0 and 1, with P ( A | B ) = 1 expressing certainty of A under B ( B ⇒ A ) and P ( A | B ) = 0 expressing certainty of not A being the case under B ( B ⇒ ¬ A ).
The nonlocal correlations of quantum entanglement, famously described by Einstein as “spooky action at a distance”, have stood as one of the most profound and puzzling features of quantum mechanics since the 1935 EPR paper. Decades of increasingly sophisticated experiments, culminating in loophole-free Bell tests, have irrefutably confirmed that these correlations cannot be explained by any local hidden variable theory. Yet, standard quantum mechanics offers no deeper explanation for this nonlocality—it is simply accepted as a fundamental, irreducible feature of reality. The no-signaling theorem further asserts that this nonlocality cannot be harnessed for superluminal communication, as single measurement outcomes are fundamentally random. This paper challenges this conventional wisdom. It asks a question that strikes at the heart of physical reality: Is quantum entanglement truly fundamental, or is it the manifestation of a deeper, hidden structure? If such a structure exists, it must leave observable imprints. The Instantaneous Teleportation Cosmos (ITC) framework, developed throughout these chapters, proposes precisely such a deep structure: entangled particles are not independent entities, but two ports of the same basal storage unit—a non-spatial, absolutely existing reality from which our four-dimensional spacetime emerges. The ITC framework is built upon four core properties, each derived from first principles, experimental evidence, and rigorous logic: P1 (Storage Perfection): Information in the basal structure is perfectly preserved, never decaying or distorting. This property, rooted in the principle of information conservation, ensures that modulations can be accumulated over time. P2 (Instantaneous Connectivity): Basal nodes are connected without distance or delay. This property, directly motivated by the violation of Bell inequalities, explains the nonlocality of entanglement and provides the basis for the possibility of superluminal communication. P3 (Mapping Determinacy): The projection from a basal state to the statistical distribution in emergent spacetime is deterministic and injective (one-to-one). Determinacy ensures experimental reproducibility, while injectivity guarantees the fundamental distinguishability of different physical states—both prerequisites for science itself. P4 (Manifestation Finiteness): The manifestation of basal information in emergent spacetime requires a local time τ and yields random single outcomes. This property acts as the crucial barrier safeguarding causality, preventing the instantaneous connectivity of P2 from being used for single-shot information transmission, and ensuring compatibility with relativity. These four properties work in synergy. P2 guarantees that a local modulation can affect a distant party. P1 ensures that this effect is accumulable over multiple trials. P3 dictates that a change in the basal state must lead to a change in the statistical distribution at the manifestation layer. P4 explains that while single outcomes remain random, this statistical change manifests as a tiny, detectable shift ΔP in the single-party probability. The central, testable prediction of the ITC framework is that this shift is non-zero: ΔP≠0. This directly contradicts the no-signaling theorem of standard quantum mechanics, which asserts ΔP = 0. Deriving this necessity from the four core properties is a central theme of this theory. The structure of the paper mirrors this logical progression. Chapter 1 re‑examines the no‑signaling theorem, arguing that the existence of the basal structure changes the meaning of local operations—the operation modifies the boundary conditions of the shared storage unit, while the reduced density matrix is merely a projection of the basal state. Hence the theorem holds for finite samples but can be transcended in the infinite‑sample limit. Chapter 2 chains the four properties to rigorously derive that modulation inevitably causes a change ΔP≠0 in the receiver’s single‑party probability. Chapter 3 explores how the bipartite correlation information, lost in the partial trace of standard quantum mechanics, can leave an imprint as ΔP in single‑party statistics under the ITC framework. Theoretical predictions demand experimental tests. Chapter 4 designs an immediately realizable decisive experiment based on demonstrated 10-km trapped-ion entanglement capabilities. By accumulating 245,000 total events (122,500 inside the modulation window) over approximately 30 hours and using a 7σ confidence standard, the experiment will detect ΔP and measure the response delay. If ΔP is significantly non-zero and the delay is much smaller than the light travel time, it would provide the first evidence for a deep structure; if no signal is seen, the one-sided 95% confidence upper bound on ΔP will be constrained below 0.17%, providing the most stringent test of the no-signaling theorem to date. Chapter 5 synergizes the P5 property of SET theory with the π-pulse. By altering the content of the information cluster at the sender (Alice), the π-pulse generates the original probability shift ΔP₀, serving as the source of the signal. Meanwhile, P5 resonance at the receiver (Bob) excites the τ-mode, compressing the manifestation time τ. This reduces quantum fluctuation noise, increases the signal‑to‑noise ratio, and thereby enhances the detectability of ΔP—this process that does not change the signal itself but amplifies its distinguishability within the noise. Working in synergy, these two mechanisms bring ΔP to an experimentally detectable level, ensuring that even a weak initial signal can be reliably captured. This paper presents a coherent, self-contained theory that, starting from the first principles and core properties of ITC theory, predicts observable effects and designs a clear experimental path for verification. Whether the outcome confirms the existence of a deep structure or imposes a more rigorous constraint on the no-signaling theorem, the work herein represents a significant step in our relentless pursuit to understand the ultimate nature of reality.
Quantum information is defined by applying the concepts of ordinary (Shannon) information theory to a quantum sample space consisting of a single framework or consistent family. A classical analogy for a spin-half particle and other arguments show that the infinite amount of information needed to specify a precise vector in its Hilbert space is not a measure of the information carried by a quantum entity with a d-dimensional Hilbert space; the latter is, instead, bounded by log2d bits (one bit per qubit). The two bits of information transmitted in dense coding are located not in one but in the correlation between two qubits, consistent with this bound. A quantum channel can be thought of as a structure or collection of frameworks, and the physical location of the information in the individual frameworks can be used to identify the location of the channel. Analysis of a quantum circuit used as a model of teleportation shows that the location of the channel depends upon which structure is employed; for ordinary teleportation it is not (contrary to Deutsch and Hayden) present in the two bits resulting from the Bell-basis measurement, but in correlations of these with a distant qubit. In neither teleportation nor dense coding does information travel backwards in time, nor is it transmitted by nonlocal (superluminal) influences. It is (tentatively) proposed that all aspects of quantum information can in principle be understood in terms of the (basically classical) behavior of information in a particular framework, along with the framework dependence of this information.
The idea that information can be localized is pervasive in physics. In thermodynamics, entropy flows from one reservoir to another, and in quantum gravity, the entropy content of some spatial regions is bounded. In quantum information theory, information is transmitted from one place to another, and entanglement can provide an advantage when there are constraints on such transmission.
Shannon entropy quantifies localizable information in the sense that marginalization defines an outer measure on the set of parts of a classical multipartite system. In contrast, von Neumann entropy does not quantify localizable information in this sense. However, a variant of von Neumann entropy, which originates in noncommutative geometry, does.
We prove that this adjusted von Neumann entropy is the minimum quantum entropy that quantifies localizable information. We also prove that this is the unique quantum entropy that characterizes Bell states in terms of redundant information, directly generalizing the classical case. We work with finite-dimensional C∗-algebras throughout, modeling finite quantum systems that may have superselection sectors.