Abstract: We present a causal, falsifiable law of observer-indexed entropy retrieval dynamics whose growth rate of retrievable entropy is proportional to the remaining entropy gap, modulated by a hyperbolic-tangent regulator that switches on at a characteristic proper time \( \tau_{\mathrm{char}} \). Unlike ensemble-averaged, non-causal Page-curve phenomenology, this law follows directly from bounded Tomita--Takesaki modular flow and is fully invertible from simulated or empirical retrieval curves. The framework converts global entropy conservation into a Lorentzian-causal, observer-specific retrieval process, without invoking global reconstruction or post hoc averaging. It predicts distinct retrieval trajectories for stationary, freely falling, and accelerated observers, and yields an acceleration-indexed \( g^{(2)}(t_{1}, t_{2}) \) envelope that Bose--Einstein--condensate analog black holes can measure on 10–100 ms timescales. Recent laboratory observations of universal coherence-spreading bounds in ultracold quantum gases provide independent empirical support for access-limited saturation dynamics. Numerical validation on a 48-qubit MERA lattice (bond dimension~8) confirms robustness. A modified Ryu–Takayanagi prescription embeds the retrieval dynamics in \( \mathrm{AdS/CFT} \) without replica-wormhole or island constructions. By replacing ensemble-averaged Page curves with a causal, testable retrieval mechanism, the model reframes the black-hole information paradox as an experimentally accessible dynamical question. Here \( S_{\max} \) denotes the Bekenstein--Hawking entropy, \( \gamma(\tau) \) the modular-flow retrieval rate, and \( \tau_{\mathrm{char}} \) the characteristic proper-time scale.

Abstract: Sub-terahertz (sub-THz) frequencies are at the spotlight in the undergoing development of sixth-generation (6G) wireless communication systems, offering ultra-high data rates and low latency for rapidly emerging applications. However, employment of sub-THz frequencies introduces strict propagation challenges, including free-space path loss and atmospheric absorption, which limit coverage and reliability. To address these issues, highly directional links are required. The conventional beam shaping solutions such as refractive lenses and parabolic mirrors are bulky, heavy, and costly, making them less attractive for compact systems. Diffractive optical elements (DOEs) offer a promising alternative by enabling precise wavefront control through phase modulation, resulting in thin, lightweight components with high focusing efficiency. Employing the fused deposition modelling (FDM) using high impact polystyrene (HIPS), allows cost-effective fabrication of DOEs with minimal material waste and high diffraction efficiency. This work investigates the beam-shaping performance of the FDM-printed structures comparing DOEs and spherical refraction-based structures, wherein both are aiming for application in sub-THz communication systems. DOEs exhibit clear advantages over classically employed solutions.

Abstract: This paper presents a conditional proof of the Riemann Hypothesis by recontextualizing the distribution of prime numbers within the framework of Information Physics and Spectral Signal Processing. We posit that the Number Line, operationally defined as a transmission channel for arithmetic information, is subject to physical constraints regarding information capacity and unitary evolution. By analyzing the Explicit Formula through the lens of Shannon-Nyquist Sampling Theory, we demonstrate that the non-trivial zeros of the Riemann Zeta function act as the discrete sampling frequencies of the arithmetic field. We introduce three physical postulates: (1) The Holographic Information Bound, which limits the spectral energy density of the error term; (2) Unitary Conservation, which forbids the generation of information ex nihilo; and (3) Operational Distinguishability, which requires a non-zero Signal-to-Noise Ratio (SNR) for the resolution of distinct integers. We establish that any zero off the critical line ("Re"(s)≠1/2) generates a "Hyper-Extensive" spectral noise that diverges asymptotically (X^2Θ). This divergence violates the Bekenstein bound for 1D manifolds and drives the SNR to zero, rendering the integer sequence operationally indistinguishable at the limit. Consequently, we conclude that the Riemann Hypothesis is a necessary condition for the number line to function as a physically realizable, unitary information system.

Abstract:

This paper advances Coherence Thermodynamics for understanding systems composed purely of information and coherence. It derives five laws of coherence thermodynamics and applies them to two case studies. Three canonical modes of coherent informational systems are developed: Standing State, Computation Crucible, and Holographic Projection. Each mode has its own dynamics and natural units, with thermodynamic coherence defined as the reciprocal of the entropy–temperature product. Within this theory, reasoning is proposed to emerge as an ordered, work‑performing process that locally resists entropy and generates coherent structure across universal features.

Abstract: The Unified Evolution Equation (UEE) provides a common analytical framework that unifies reversible quantum dynamics (unitary evolution), dissipative dynamics of open systems (GKLS), and transport effects induced by boundaries and resonances (zero-area resonance kernels) as a single notion of time evolution of states. The purpose of this paper (UEE_01) is to define the UEE as a mathematically consistent analytical foundation and to establish its well-posedness, including existence, uniqueness, and invariance of states.We formulate the theory by taking the observable algebra as a von Neumann algebra and the state space as its predual, and by characterizing physically admissible time evolutions as preduals of normal, unital, completely positive maps. The UEE is formally expressed as a sum of reversible, dissipative, and resonance-transport generators. Rigorously, solutions are defined in the mild sense as trajectories generated by a strongly continuous completely positive and trace-preserving (CPTP) semigroup.Given the analytical data of the UEE, we construct the reversible, dissipative, and resonance-transport components separately as CPTP group or semigroup evolutions. Using a Chernoff/Trotter-type product formula, we prove that the composite limit evolution exists, forms a CPTP semigroup, and that its generator coincides with the closure of the sum of the individual generators. As a consequence, invariance of the set of normal states and the well-posedness of the UEE are rigorously established.This work provides a solid analytical foundation for the unified GKLS+$R$ representation employed in subsequent papers, ensuring consistency between physical modeling and operator-theoretic dynamics.

Abstract: It is shown that the off-shell renormalization schemes for subtraction of ultraviolet divergences in Quantum Field Theory produce zero for sums of perturbative corrections to physical quantities when all perturbation orders are taken into account. That is the off-shell renor malization schemes are in this sense unphysical. In this connection it is desirable to develop on-shell renormalization schemes for different quantum theories.

Abstract: We provide a referee-grade closure of the Quantum Information Copy Time (QICT) program by identifying a single information-theoretic quantity that simultaneously (i) controls operational certifiability times and (ii) sources semiclassical gravitational dynamics. The central identification is that the same localized relative entropy (equivalently, a modular-energy deficit) that upper-bounds restricted trace-distance distinguishability also enters entanglement-equilibrium arguments yielding the Einstein equation in small causal diamonds. Within an explicit axiomatic layer, we (1) remove the observer from the fundamental time scale by postulating a universal update time \tau_0 and proving \tau_{\mathrm{copy}}^{(\mathrm{op})}\ge \tau_0 for any admissible channel family \mathfrak{F}; (2) show that ’t Hooft’s deterministic cellular automaton (DCA) sector arises as the \tau_{\mathrm{copy}}^{(\mathrm{op})}\to \tau_0 limit of reversible local update rules, with the associated Hilbert-space lift given by a permutation unitary; and (3) derive the gravitational field equation from an information action via induced-gravity/heat-kernel methods, with the effective matter source fixed by relative-entropy stationarity (entanglement equilibrium). All figures and tables are reproducible from the accompanying code.

Abstract: In this work, we demonstrate how an effective spacetime description and an Einstein--Friedmann structure can emerge naturally from the geometry of a universal wavefunction, without postulating gravitational field equations or introducing matter fields explicitly. By treating the flux hypersurface associated with a conserved wavefunction current as an embedded Lorentzian manifold, we show that its induced geometry is necessarily of Friedmann--Robertson--Walker type under minimal assumptions of homogeneity and isotropy. We show that the intrinsic curvature of the induced metric is fully determined by the embedding geometry itself. In particular, de Sitter spacetime arises as a special, maximally symmetric case corresponding to a constant-curvature hyperboloid in the ambient space. More generally, for physically relevant and normalisable classes of wavefunction envelopes, the embedding geometry remains hyperboloid in character but exhibits a time-dependent curvature scale. In this regime, the effective vacuum curvature term is approximately constant at early times, giving rise to de Sitter behaviour, and subsequently decays as the hypersurface evolves, leading asymptotically to a linear expansion law. By identifying a conserved, potential-like geometric invariant inherited from the universal wavefunction, we recover an effective Einstein--Friedmann structure on the hypersurface without invoking gravitational dynamics. This invariant fixes the scaling of the dominant contribution to the effective energy density and determines the value of the effective gravitational coupling. For closed slicing, this contribution cancels identically against the spatial curvature term in the Friedmann equation, leaving the late-time expansion governed solely by the residual vacuum-like sector. These results position general relativity as an emergent effective theory arising from a deeper wavefunction-based geometric structure.

Abstract: Considerable efforts have been devoted to modifying gravity in order to elucidate the possible existence or nature of dark matter and dark energy, describe observational data effectively, and advance toward a theory of quantum gravity. In addition, despite its immense success, quantum field theory requires renormalization techniques and breaks down at high energies. Notably, the Planck 2018 legacy release confirmed the existence of an enhanced lensing amplitude in the cosmic microwave background power spectra, which suggests a positively curved early Universe with a confidence level more than 99%. In this study, we model the global curvature of the Universe as the curvature of a ‘4D conformal bulk’ — a geometric manifestation of vacuum energy, and regard celestial objects that induce localized curvature within the bulk as ‘4D relativistic cloud-worlds’. Employing a dual-action variational principle that incorporates both local and global curvatures, we derive interaction field equations that generalize general relativity and recover quantum behavior in the flat-bulk limit. Within this framework, gravity emerges as the local curvature of the bulk — an indicator of the field strength of vacuum energy acting on embedded quantum fields, which are described as localized geometric excitations embedded in a structured vacuum background. A visualization of the evolution of the 4D relativistic cloud-world over the conformal spacetime of the 4D bulk is presented. We apply the derived interaction field equations to model active galactic nuclei and outline testable predictions that could directly provide confirmations or falsify the framework.

Abstract: We present a fully controlled thermodynamic study of the two-dimensional dipolar $Q$-state clock model on small square lattices with free boundaries, combining exhaustive state enumeration with noise-free evaluation of canonical observables. We resolve the complete energy spectra and degeneracies $\{E_n,c_n\}$ for the Ising case ($Q=2$) on lattices of size $L=3,4,5$, and for clock symmetries $Q=4,6,8$ on a $3\times3$ lattice, tracking how the competition between exchange and long-range dipolar interactions reorganizes the low-energy manifold as the ratio $\alpha = D/J$ is varied. Beyond a finite-size characterization, we identify several qualitatively new thermodynamic signatures induced solely by dipolar anisotropy. First, we demonstrate that ground-state level crossings generated by long-range interactions appear as exact zeros of the specific heat in the limit $C(T \rightarrow 0,\alpha)$, establishing an unambiguous correspondence between microscopic spectral rearrangements and macroscopic caloric response. Second, we show that the shape of the associated Schottky-like anomalies encodes detailed information about the degeneracy structure of the competing low-energy states: odd lattices ($L = 3,5$) display strongly asymmetric peaks due to unbalanced multiplicities, whereas the even lattice ($L = 4$) exhibits three critical values of $\alpha$ accompanied by nearly symmetric anomalies, reflecting paired degeneracies and revealing lattice parity as a key organizing principle. Third, we uncover a symmetry-driven crossover with increasing $Q$: while the $Q=2$ and $Q=4$ models retain sharp dipolar-induced critical points and pronounced low-temperature structure, for $Q \ge 6$ the energy landscape becomes sufficiently smooth to suppress ground-state crossings altogether, yielding purely thermal specific-heat maxima. Altogether, our results provide a unified, size- and symmetry-resolved picture of how long-range anisotropy, lattice parity, and discrete rotational symmetry shape the thermodynamics of mesoscopic magnetic systems. We show that dipolar interactions alone are sufficient to generate nontrivial critical-like caloric behavior in clusters as small as $3\times3$, establishing exact finite-size benchmarks directly relevant for van der Waals nanomagnets, artificial spin-ice arrays, and dipolar-coupled nanomagnetic structures.

Abstract: Motivated and inspired by Truesdell's seminal article [``Two measures of vorticity," Journal of Rational Mechanics and Analysis {\bf 2}, 173--217 (1953)], recently the present author has introduced the turbulence kinematical vorticity number $\widetilde{\cal V}_{K}$ to measure the mean rotationality of turbulence [``On the classical Bradshaw--Richardson number: Its generalized form, properties, and application in turbulence," Physics of Fluids {\bf 30}, 125110 (2018)]. In this work, first, within the general framework of the Cauchy equation of motion, we derive the general equation of motion for the turbulence kinematical vorticity number $\widetilde{\cal V}_{K}$ in turbulent flows of incompressible non-Newtonian fluids, which depicts the underlying dynamical character of $\widetilde{\cal V}_{K}$ and in laminar flows reduces to the general equation of motion for the kinematical vorticity number---the Truesdell number ${\cal V}_{K}$. Second, we obtain an inequality which places the relevant dynamical restriction upon the mean Cauchy stress tensor, the Reynolds stress tensor, and the mean body force density vector in the ensemble-averaged Cauchy equation of motion for turbulence modelling. Moreover, we derive the general Reynolds stress transport equation for turbulence modelling of incompressible non-Newtonian fluids based on Cauchy's laws of motion, which includes as a special case the classical Reynolds stress transport equation for an incompressible Newtonian fluid derived from the Navier--Stokes equation.

Abstract: Background:The Standard Model (SM) has been successful, yet it fails to explain the origin of fermion masses and mixing parameters. Methods: In this study we construct the single-fermion framework “Information Flux Theory (IFT),” derived from the Unified Evolution Equation. IFT preserves gauge symmetry while replacing Standard Model fields with a single fundamental operator, yielding analytic solutions without adjustable parameters. Results: IFT reproduces all SM particle masses—including the 125 GeV Higgs mass—and the CKM matrix within current experimental precision, requiring neither additional particles nor fine-tuning. Conclusion: These results demonstrate that IFT can fully replace the Standard Model with a single-fermion description, providing a conceptually simpler yet phenomenologically complete foundation for particle physics. Supplement: This paper includes proofs for two Clay Millennium Problems: the Yang–Mills mass gap and the Navier–Stokes equations. Note Added: Furthermore, as a result of this series of studies, the origin of gravity has now been clarified.

Abstract: This preprint outlines a detailed theoretical framework for the "Ze System" (ZS), a proposed methodological paradigm for investigating phenomena that are not directly observable. It challenges the classical model of passive observation, positing that a significant portion of reality's structure exists in a latent, wave-like state of distributed possibilities (Zurek, 2003). The ZS is conceptualized as an active instrument designed to provoke the transition of these latent structures into a localized, observable ("particle") state. Its core operational principle is the deliberate engineering of predictive conflict: by forcing a system to resolve incompatible, high-precision predictions (e.g., Model A vs. Model B), hidden variables are compelled to manifest to avoid a logical-physical impasse. This manuscript elaborates the ontological foundations (reality as latent information flux), methodological pillars (predictive pressure, dual reading, manipulators), and the formal architecture of a ZS. We discuss potential applications in quantum phenomenology, pre-clinical disease detection, and cognitive science, while rigorously addressing the epistemological and ethical implications of an interventionist science. The framework synthesizes concepts from quantum measurement theory, predictive processing neuroscience, and complex systems biology into a novel proposal for experimental philosophy.

Abstract: We formulate an operational hypothesis—the Synchronization Latency Principle—as a disciplined extension of an “Information Audit” viewpoint within a locality-preserving quantum cellular automaton (QCA) framework. The central claim is scoped so it can be scrutinized: matter-like excitations are auditable images that are not certified at a single-site update, but only after an audit closes over a minimal local neighborhood. In three dimensions, a nearest-neighbor stencil suggests a (1+6) block of cardinality 7; under explicit circuit-locality and audit assumptions, we show a structural lower bound Daudit ≥ 7 on the micro-depth needed to incorporate all neighbor links into a joint certification. We then strengthen the theory beyond narrative plausibility by adding (i) an operational definition of copy time via Helstrom hypothesis testing, (ii) a quantum-speed-limit lower bound on τcopy via QFI/Bures geometry and a stiffness parameter χ, and—crucially for PRA standards—(iii) a minimal explicit translation-invariant QCA class (a 7-layer Floquet-QCA schedule) for which the small-momentum dispersion has an emergent effective mass meff derived from the circuit. In that class we prove a proposition: the certified-sector quasi-energy satisfies E(k) = p (veff∥¯hk∥)2 + (meffc2)2 +O(∥k∥2, θ2, ∥k∥θ), ith veff ∝ 1/Daudit and meffc2 ∝ √ χ/Daudit, both directly testable in QCA simulation. Finally, Planck→electroweak matching is kept as a discussion (not a result): it is presented only as a possible UV boundary-condition narrative, explicitly separated from the structural theorems.

Abstract: The Michelson–Morley experiment yielded a null result, indicating equal light travel times in the longitudinal and transverse arms of an interferometer, traditionally interpreted as evidence against a light-propagating medium. This paper re-examines this conclusion by postulating that space itself possesses elastic properties and constitutes the fundamental medium. Beginning with this premise and modeling matter as standing waves within this space-medium, we first demonstrate that the complete mathematical framework of Special Relativity—including Lorentz transformations, time dilation, and mass-energy equivalence—emerges naturally from the Doppler deformation of these wave patterns under motion. We then extend this wave-mechanical approach to gravity, showing that the Newtonian potential and inverse-square law can be interpreted as the gradient of a spatial deformation field, with gravitational interaction energy arising from the overlap of these deformations. We show that Special and General Relativity emerge as effective geometric descriptions of an underlying elastic dynamics of space, in which relativistic effects correspond to physical deformations of wave-based matter. This framework preserves all empirical predictions of relativity while providing a unified mechanical interpretation of inertia, gravitation, Equivalence Principle, and spacetime curvature.

Abstract: We present a rigorous derivation of two fundamental physical scales: the primal energy E0 = 2.916601 × 10^{-16} J = 1820.469 eV and the primal length l0 = lP = 1.616255 × 10^{-35} m (the Planck length). These quantities emerge uniquely from the arithmetic-geometric structure encoded in the zeros of the Riemann zeta function ζ(s). We demonstrate that E0 serves as the natural energy unit connecting quantum mechanics, gravitational physics, and number theory, while l0 establishes the fundamental length scale of spacetime geometry. The derivation employs: (1) the exact conformal transformation Φ(z) = α arcsinh(βz) + γ with αβγ = 2π connecting quantum spectra to zeta zeros; (2) combinatorial relations among the first four nontrivial zeros γ1, γ2, γ3, γ4; and (3) consistency conditions with established physical constants (CODATA 2018). The resulting framework provides a unified basis for understanding fundamental constants, predicts testable modifications to quantum and gravitational phenomena, and offers new insights into the geometric structure of reality at the Planck scale.

Abstract: Multiphoton endomicroscopy (MPEM) has recently become a key development in optical biomedical diagnostics, providing histologically relevant in vivo images that are eliminating both the need for tissue damage during biopsy sampling and the need for dye injections. Due to its ability to visualize structures at the epithelial, extracellular matrix, and subcellular levels, MPEM offers a promising diagnostic method for precancerous conditions and early forms of gastrointestinal (GI) cancer. The high specificity of multiphoton signals—the two-photon fluorescence response of endogenous fluorophores (NADH, FAD), the second-harmonic generation signal from collagen, and others—makes this method a promising alternative to both traditional histology and confocal endoscopy, enabling real-time assessment of metabolic status, intestinal epithelial cell status, and stromal remodeling. Despite the promising prospects of multiphoton microscopy, its practical implementation is progressing extremely slowly. The main factors here include the difficulty of delivering ultrashort pulses with high peak power, which is necessary for multiphoton excitation (MPE), and obtaining these pulses at the required wavelengths to activate the autofluorescence mechanism. One of the most promising solutions is the use of specialized multimode optical fibers that can both induce the beam self-cleaning (BSC), which allows for the formation of a stable beam profile close to the fundamental mode, and significantly broaden the optical spectrum, which can ultimately cover the entire region of interest. This review presents the biophysical foundations of multiphoton microscopy of GI tissue, existing endoscopic architectures for MPE, and analyzes the potential for using novel nonlinear effects in multimode optical fibers, such as the BSC effect and supercontinuum generation. It is concluded that the use of optical fibers in which the listed effects are realized in the tracts of multiphoton endomicroscopes can become a key step in the creation of a new generation of high-resolution instruments for the early detection of malignant neoplasms of the GI tract.

Abstract: This paper introduces Ze, a novel theoretical framework for cognitive architecture based on the concurrent operation of two distinct generative models of the environment: a causal (forward) model M_A and a counterfactual (inverse) model M_B. The core dynamics of Ze arise from the minimization of two separate variational free energies, F_A and F_B, and the management of the conflict between them, ΔF = |F_A - F_B|. This conflict regulates a phase transition between an interference regime, where model outputs are constructively fused, and a localization regime, which resolves the conflict through a discrete projection. We formally establish a deep structural isomorphism with quantum measurement, particularly the double-slit experiment, without invoking quantum physics in the substrate. Ze is proposed as a complete, falsifiable theory that reinterprets cognitive "collapse" as an optimization-driven transition, generates novel experimental predictions, and integrates perception, action, and representational learning into a unified architecture. This preprint provides the full mathematical elaboration of the framework.

Abstract: We develop a quantitative framework linking quantum information copy time (QICT), gauge-coded quantum cellular automata (QCA), asymptotically safe gravity, and singlet-scalar dark matter.On the microscopic side, we consider an effectively one-dimensional diffusive channel embedded in a gauge-coded QCA with an emergent \( \mathrm{SU}(3)\times\mathrm{SU}(2)\times\mathrm{U}(1) \) structure. For a conserved charge Q, we define an operational copy time \( \tau_{\mathrm{copy}}(Q) \) and show, under explicit locality and hydrodynamic assumptions, that \( \tau_{\mathrm{copy}}(Q) \;\propto\; \bigl(\chi_{micro, Q}^{\mathrm{(2)}}\bigr)^{-1/2} \), where \( \chi_{micro, Q}^{\mathrm{(2)}} \) is an information-theoretic susceptibility built from the Kubo--Mori metric and the inverse Liouvillian squared. A conditional theorem establishing this scaling, together with numerical tests on stabiliser-code models up to linear size L=96, is formulated below and proved in a Supplemental Material.Within a gauge-coded QCA that realises a single Standard-Model-like generation, we identify hypercharge $Y$ as the unique non-trivial anomaly-free Abelian direction that couples to both quark and lepton sectors, and we exhibit explicitly how, in the (B,L,Y) charge space, anomaly cancellation singles out the hypercharge direction. We further show that, on the anomaly-free subspace, a quadratic susceptibility functional is extremised along the hypercharge direction.We then match the microscopic QICT parameters to a thermal Standard Model plasma at a benchmark temperature \( T_{\star} = 3.1~\text{GeV} \), using ideal-gas expressions for susceptibilities, and adopt an asymptotically safe functional renormalisation group (FRG) benchmark for gravity + SM + neutrinos + a real singlet scalar S, summarised in a dimensionless mass parameter \( \kappa_{\mathrm{eff}} \). Here \( \kappa_{\mathrm{eff}} \) is treated as a phenomenological parameter, computed in a concrete truncation and then propagated as a prior with quantified uncertainty.Combining these ingredients yields a Golden Relation \( m_{S} = C_\Lambda \sqrt{\kappa_{\mathrm{eff}}\,\chi_{Y}^{(2)}} \), which connects the physical mass \( m_S \) of the singlet scalar to a QICT constant \( C_\Lambda \), the hypercharge susceptibility \( \chi_{Y}^{(2)} \) at \( T_{\star} \), and the FRG parameter \( \kappa_{\mathrm{eff}} \). Using explicit numerical benchmarks \( a = 0.197~\text{GeV}^{-1},\quad D_{Y} \simeq 0.10~\text{GeV}^{-1},\quad \frac{\chi_{Y}^{(2)}}{T_{2}^{\star}} = 0.145 \pm 0.010,\quad \kappa_{\mathrm{eff}} = 0.136 \pm 0.019,\quad C_\Lambda = 1.6 \pm 0.2~\text{GeV}^{-1} \), we obtain a mass band \( m_{S} = 58.1 \pm 1.5~\text{GeV} \), with a conservative interval \( m_{S} \in [56.6,59.6]~\text{GeV} \). We then perform a minimal but complete phenomenological scan of the Z₂ singlet-scalar Higgs-portal model in the \( m_S,\lambda_{HS} \) plane, solving the Boltzmann equation for the relic density and applying current direct-detection and Higgs-invisible constraints. A set of representative viable points lies in the immediate vicinity of the Golden-Relation band near the Higgs resonance.

Abstract: Bell tests and Bell's theorem used to interpret the test results opened the door to quantum information processing, such as quantum computation and quantum communication. Based on the erroneous interpretation of the test results, quantum information processing contradicts a well-established mathematical fact in point-set topology. In this study, the feasibility of quantum computation and quantum communication is investigated. The findings are as follows. (a) Experimentally confirmed statistical predictions of quantum mechanics are not evidence of experimentally realized quantum information processing systems. (b) Physical carriers of quantum information do not exist in the real world. (c) Einstein's ensemble interpretation of wave-function can eliminate inexplicable weirdness in quantum physics. The findings lead to an inevitable conclusion: Without carriers representing quantum information, physical implementations of quantum information processing systems are merely an unrealizable myth.