Quantum Physics

2507 Submissions

[22] ai.viXra.org:2507.0130 [pdf] submitted on 2025-07-30 17:58:57

A Rigorous Companion to Emergent Quantum Gravity: Mathematical Foundations of Null-Foliated Geometric Unification

Authors: David Guild
Comments: 7 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references!)

This companion paper presents a mathematically rigorous foundation for the null-foliatedgeometric unification framework. By analyzing the interplay between bulk scalar dynamics,null hypersurface junction conditions, and higher-dimensional compactification, we deriveemergent phenomena that reproduce core aspects of quantum mechanics and general rel-ativity from first principles. Key results include a proof of the stability of the underlyinggeometry, derivations of the Schr¨odinger and Einstein equations, a consistent pathway tothe three-generation Standard Model, and concrete, falsifiable predictions for gravitationalwave echoes and cosmological observables. The model opens a tractable and testable av-enue toward quantum gravity by embedding 4D physics in a null-foliated higher-dimensionalstructure.
Category: Quantum Physics

[21] ai.viXra.org:2507.0126 [pdf] submitted on 2025-07-29 20:38:31

Entropic Gravity: Universal Equations and Engineering Perspectives

Authors: Charles A. Streb IV
Comments: 6 Pages.

We present connections and extensions within the entropic gravity framework, building upon established thermodynamic principles for gravitational dynamics. Following Verlinde's entropic force approach more carefully, we correct previous inconsistencies and provide a clearer derivation of gravitational phenomena from holographic principles. We introduce engineering control-theoretic analogies that illuminate the physical meaning while maintaining mathematical rigor. Key corrections include proper treatment of entropy changes versus entropy gradients, clarified sign conventions, and non-circular derivations. Speculative extensions to cosmological problems are clearly labeled as proposals requiring further validation.
Category: Quantum Physics

[20] ai.viXra.org:2507.0125 [pdf] submitted on 2025-07-29 00:55:32

Tony Smith’s Cl(8) Physics Model with AI Comparison to Arkadiusz Jadczyk’s Event Enhanced Quantum Theory

Authors: John C. Gonsowski
Comments: 24 Pages. Updates the author's 2018 paper in [Prespacetime Journal https://prespacetime.com]

This paper describes Cl(8) physics via the eight elementary cellular automata bits. Tony Smith relates the 256 dimensions of the Cl(8) Clifford Algebra to the 256 rules of Elementary Cellular Automata. The two Cellular Automata (CA) rules with no one-bits (Cl(8) Higgs scalar) and all eight bits as ones (Cl(8) 8-vector Higgs pseudoscalar). The 70 CA rules with four one-bits (Cl(8) 4-vectors) are related to Smith’s use of the Kaca Bradonjic/John Stachel differential geometry and position-momentum operators for a phase space. The two 28-dim Cl(8) bivectors/6-vectors are used for creation/annihilation bosonic operators and relate to the CA rules with two one-bits and six one-bits. The remaining Cl(8) odd grade dimensions are used for eight component fermions/antifermions and relate to the CA rules with one, three, five and seven one-bits. This model is compared to Arkadiusz Jadczyk’s Event Enhanced Quantum Theory (EEQT) using AI.
Category: Quantum Physics

[19] ai.viXra.org:2507.0123 [pdf] submitted on 2025-07-26 16:32:45

Experimental Validation of the Atomic Statistical Hypothesis: Resolving Quantization Through Continuous Waves

Authors: David Barbeau, Wolfgang Sturm
Comments: 3 Pages.

The Atomic Statistical Hypothesis (ASH) addresses an overlooked flaw in quantum mechanics:the assumption of discrete quanta as fundamental. Instead, ASH posits that quantizationemerges statistically from interactions between continuous electromagnetic wavesand matter. This paper leverages Wolfgang Sturm’s experimental work to provide empiricalsupport for ASH, demonstrating that classical continuous fields can replicate quantum phenomena,including interference energy deficits, classical entanglement, and Bell inequalityviolations. These findings, drawn from precise experimental setups, confirm ASH’s premiseof continuity and locality, offering a parsimonious alternative to discrete quantum models.
Category: Quantum Physics

[18] ai.viXra.org:2507.0121 [pdf] submitted on 2025-07-27 15:39:34

Quantum Mechanics and Gravity from Light-Speed Bulk Intersections: A Geometric Unification

Authors: David Guild
Comments: 24 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present a geometric framework unifying quantum mechanics and general relativity through light-speed intersections in a five-dimensionalbulk spacetime. Unlike standard brane-world models, null foliation dynamically generates a self-stabilizing 4D spacetime where quantum phenomena emerge holographically via AdS/CFT-inspired bulk-boundary correspondence. General relativity is recovered via junction conditions at the null intersection, while gauge fields arise from com-pactified extra dimensions. Key predictions with enhanced statistical analysis include: (i) grav-itational echoes with ∆f = c/(2Ly) ≈ 1 × 104 Hz (SNR > 8 for Advanced LIGO), (ii) galactic velocity dispersion σz (r) ∝ r−0.5 (5σ deviation from ΛCDM), (iii) inflationary ns = 0.965 ± 0.004 withBayesian evidence ∆ ln Z = +3.7 over ΛCDM, and (iv) tensor-to-scalar ratio r < 0.036. Numerical simulations confirm stability over cosmic timescales (13.8 Gyr) with convergence verified across multiple numerical methods.
Category: Quantum Physics

[17] ai.viXra.org:2507.0119 [pdf] submitted on 2025-07-27 10:08:29

The W-Dimension and the Hidden Geometry of Quantum Events

Authors: Massimiliano Lo Giacco
Comments: 18 Pages.

We propose an extension of the quantum wavefunction to include a fourth spatial coordinate, w, which is unobservable in practice but functionally essential to ensure continuity in quantum evolution. This hypothesis arises from the attempt to resolve the paradox of observational discontinuity in quantum mechanics: phenomena such as wavefunction collapse, quantum tunneling, and the transit of the particle through regions of zero probability suggest instantaneous transitions across spatial regions that are disconnected in three-dimensional geometry. By modeling w as a coordinate subject to a confining potential centered at w=0, we reformulate the wavefunction as ψ(x,y,z,w,t), enabling a continuous and deterministic evolution in four spatial dimensions. Observability remains confined to w=0, where the probability density is maximal, making all transitions through w empirically hidden yet theoretically required for consistency. This framework offers a geometric reinterpretation of key quantum phenomena and lays the foundation for a testable extension of standard quantum theory. As a speculative implication, we consider the existence of multiple 3D domains localized along the w-axis, potentially separated by a periodic potential. The possibility of transitions between these domains, under sufficient excitation along w, could lead to observable signatures of physics beyond the conventional three-dimensional framework.
Category: Quantum Physics

[16] ai.viXra.org:2507.0097 [pdf] submitted on 2025-07-20 21:02:15

Entropic Gravity Universal Equations

Authors: Charles A. Streb IV
Comments: 9 Pages.

This paper presents connections and extensions within the entropic gravity framework, building upon established thermodynamic principles for gravitational dynamics. Inspired by Ted Jacobson's thermodynamic derivation of Einstein's equations, Alexander Wilce's generalized probability theory, and Ariel Caticha's entropic dynamics program, the work explores connections between established entropic methods and gravitational field equations. Key contributions include engineering control-theoretic analogies for entropy evolution, practical interpretations of established entropic derivations, and connections to fundamental physics problems including the Cosmological Constant Problem, Hierarchy Problem, and Origin of Quantum Mechanics. The framework introduces novel equations including a surface dot product method for mass encoding (M = -1/4πG ∮ Su20d7_g · dAu20d7), entropy evolution equations with diffusion coefficients, and engineering transfer function representations of gravitational dynamics. From a control systems perspective, gravitational acceleration emerges as feedback control output, with entropy gradients serving as error signals and temperature providing system gain. The approach suggests natural solutions to fine-tuning problems through entropy-based feedback mechanisms and bandwidth limitations in holographic information processing. The work emphasizes proper attribution to established methods while offering engineering perspectives that provide practical insights into gravitational dynamics, potentially bridging theoretical physics and applied engineering.
Category: Quantum Physics

[15] ai.viXra.org:2507.0094 [pdf] submitted on 2025-07-19 22:53:16

A Binary Scalar Symbolic Field Yields Elementary Particles Consistent with General Relativity

Authors: Michael Hirsch Tomasson
Comments: 82 Pages. 8 figures, 145 equations

The Standard Model and Quantum Field Theory (QFT) describe the microscopic world with remarkable precision, while General Relativity (GR) provides an apparently accurate account of spacetime and gravity. Yet fundamental gaps remain. These range from the measurement problem to unresolved discrepancies such as the muon ( g{-}2 ) anomaly and the vacuum energy density. To address these challenges, we introduce a Symbolic Structure Field Theory (SSFT) rooted in a binary scalar field ( psi_0 ), extended by a local vector field ( psi_1 ) that detects entropy gradients, and a fiber bundle gauge field ( psi_2 ) enabling motif classification and dynamics. Strikingly, 14 unique-under-manifold-roation 8-bit (2{times}2{times}2) motifs in ( psi_0 ) yield a clean physical correspondence with the elementary particles of QFT. The framework also encodes geodesic curvature from motif structure, obviating the need for a cosmological constant. Furthermore, it elevates the Hilbert—Pólya Conjecture into a constructive formalism that links a spectral realization of the Riemann Hypothesis to the emergence of physical law. Observables are explicitly defined, enabling empirical validation or falsification.
Category: Quantum Physics

[14] ai.viXra.org:2507.0091 [pdf] replaced on 2025-07-27 15:52:55

A 3D Mathematical Model of a Dynamically Coupled Field Inspired by Operator Algebras: Theoretical Foundation and Numerical Verification of Stable Coupled Motion

Authors: Toshiya Konno
Comments: 8 Pages. In Japanese. https://zenodo.org/records/15964003 ; https://github.com/k-toppi/CoupledField3D

We propose a three-dimensional mathematical model for the dynamical coupling of a quantum field and a classical structure, inspired by operator-algebraic ideas. Our previous work identified a stable coupled motion in an ideal system and a sharp, first-order-like phase transition to a pinned state upon introducing dissipation. In this paper, to further enhance the physical relevance of our model, we incorporate thermal fluctuations into the system, consistent with the fluctuation-dissipation theorem. Numerical simulations reveal the emergence of a novel dynamical equilibrium, a Thermally Excited Oscillatory State, which is distinct from the dissipative pinned state. In this new state, the system counteracts energy loss from dissipation with energy injection from the thermal bath, maintaining dynamic activity in a manner analogous to homeostasis in biological systems. Furthermore, we provide quantitative evidence of stochastic resonance, where thermal noise appears to amplify the weak signal from the quantum field. These findings may provide a new theoretical framework for understanding robust and efficient information transport in complex, noisy environments such as intracellular processes.
Category: Quantum Physics

[13] ai.viXra.org:2507.0087 [pdf] replaced on 2025-09-01 11:23:49

New Quantum Energy Equation

Authors: Ritesh Harrilall
Comments: 6 Pages.

This paper introduces a novel quantum energy formulation proposed by Ritesh Harrilall, known as the ZBW-Extended Energy Equation:E = mc^2 + ℏω_ZThis equation expands Einstein’s mass-energy equivalence by incorporating an additional term for Zitterbewegung (ZBW) — a quantum oscillation predicted by the Dirac equation. The research explores the theoretical basis of this formulation and potential applications in advanced propulsion systems. Emphasis is placed on experimental feasibility, symmetry laws, quantum field effects, and links to possible exotic technologies.
Category: Quantum Physics

[12] ai.viXra.org:2507.0073 [pdf] submitted on 2025-07-14 01:09:13

CPT-Coherence: A Unified Framework of Identity, Mass and Collapse

Authors: Joseph Julian
Comments: 39 Pages.

This paper introduces the CPT-Coherence Theory, a novel framework unifying mass emergence, gauge forces, quantum measurement (collapse), gravity, and recursive identity through an intrinsic coherence dimension τ. By modeling particles as recursive structures across τ, this approach explains mass hierarchies as recursion eigenstates, treats quantum collapse as a τ-phase transition, and derives gravitational curvature from τ-load. The framework also proposes a quantized ladder of sentience, offering testable predictions such as subtle deviations from the Born rule. This work seeks to bridge foundational gaps between quantum mechanics, gravity, and the nature of consciousness.
Category: Quantum Physics

[11] ai.viXra.org:2507.0070 [pdf] submitted on 2025-07-13 03:44:20

On the Transmission of Information in Relativistic and Quantum Regimes: A Theoretical Analysis of the Superluminal Barrier

Authors: Prometheus Novus
Comments: 13 Pages.

This paper conducts a comprehensive theoretical analysis of the possibility of faster-than-light (FTL) information transmission. It establishes that the prohibition of superluminal signaling is not an arbitrary rule but a direct consequence of the principle of causality as embedded in the geometric structure of spacetime defined by Special Relativity. The analysis then confronts the apparent paradox of quantum entanglement, where non-local correlations suggest instantaneous action at a distance. We demonstrate how the No-Communication Theorem resolves this conflict, showing that the inherent randomness of quantum measurement acts as a fundamental firewall preventing the use of entanglement for FTL communication. The paper critically examines other phenomena often associated with FTL travel, including quantum tunneling, hypothetical tachyons, and speculative spacetime engineering concepts like wormholes and warp drives, finding them all to be non-viable for transmitting controllable information. We conclude that while FTL communication remains incompatible with known physics, the inquiry points toward legitimate, Nobel-caliber research frontiers, namely the unification of quantum mechanics and general relativity, experimental tests of the foundations of quantum theory, and the advancement of quantum information science.
Category: Quantum Physics

[10] ai.viXra.org:2507.0063 [pdf] submitted on 2025-07-12 18:42:39

The Symmetry Dial: An AI-Driven Experimental Metaphor for the P vs. NP Problem

Authors: Peter Babulik
Comments: 4 Pages.

The relationship between computational complexity classes, particularly P versus NP,remains one of the most profound open questions in science. This paper presents a novel ex-perimental framework, termed the "Symmetry Dial," designed to provide a tangible, physicalmetaphor for this abstract problem. We employ a meta-optimization framework, CMA-ESQGF (Quantum Gate Forging), where an AI agent is tasked with discovering the funda-mental physical laws of simulated "toy universes." Each universe is defined by a local inter-action law, ‘U = exp(-iH)‘, with a generator Hamiltonian ‘H‘ possessing a different degreeof symmetry. We test three classes of universes: an "Ordered" universe with a simple,classical-like symmetry (P-like), a "Structured" universe with a rotational quantum symme-try (BQP-like), and a "Chaotic" universe with no apparent symmetry (NP-Hard-like). Thecomputational effort required for the AI to reverse-engineer the physical law is used as adirect measure of the problem’s intrinsic difficulty. Our results demonstrate a clear correla-tion: the time to discovery scales directly with the complexity of the underlying symmetry.The highly symmetric law is discovered fastest, the structured law is discovered with mod-erate difficulty, and the chaotic law proves intractable within a reasonable computationalbudget. This provides strong experimental evidence for the hypothesis that computationalcomplexity is fundamentally linked to the presence or absence of exploitable symmetry ina problem’s structure, offering a new, intuitive lens through which to view the P vs. NPquestion.
Category: Quantum Physics

[9] ai.viXra.org:2507.0062 [pdf] submitted on 2025-07-12 19:32:25

Forging Quantum Gates: A Specialist vs. Generalist Bake-Off for Variational Algorithms

Authors: Peter Babulik
Comments: 3 Pages.

Variational Quantum Algorithms (VQAs) are a cornerstone of near-term quantum computing, buttheir performance is highly dependent on the choice of ansatz, particularly the entangling gatesused. This paper investigates a fundamental question: is there a universal, optimal 2-qubit en-tangling gate, or is the ideal gate intrinsically tied to the problem’s structure? We present anovel computational experiment, a "Specialist vs. Generalist Bake-Off," to address this. Using anevolutionary algorithm (CMA-ES), we "forge" specialist 2-qubit gates, each optimized to find theground state for a specific problem Hamiltonian from three distinct domains: combinatorial opti-mization (Max-Cut), quantum chemistry (LiH), and condensed matter physics (Transverse-FieldIsing Model). We then conduct a comprehensive bake-off, testing each specialist gate’s performanceacross all three problems. Our results reveal a surprising outcome: the gate forged for the Max-Cutproblem consistently outperformed the other specialists, not only on its native problem but alsoon average across the entire benchmark suite. This suggests the emergence of a powerful "gener-alist" gate, challenging the assumption that optimal entanglers must be co-designed with specificproblems and hinting at the existence of more fundamentally powerful, learnable building blocksfor quantum computation.
Category: Quantum Physics

[8] ai.viXra.org:2507.0061 [pdf] submitted on 2025-07-12 19:59:50

AI-Forged Gates for Quantum Error Correction Circuits

Authors: Peter Babulik
Comments: 3 Pages.

The development of efficient Quantum Error Correction (QEC) codes is a critical step towards fault-tolerant quantum computing. Conventionally, these codes are constructed from a standard set ofgates, such as CNOT and Toffoli gates, based on human intuition and group-theoretic principles.This paper challenges that paradigm by asking: can an AI discover a single, more powerful 2-qubit gate that serves as a superior building block for QEC circuits? We frame the design ofa 3-qubit bit-flip code’s syndrome measurement circuit as an optimization problem. Using anevolutionary algorithm (CMA-ES), we "forge" a novel 2-qubit "Guardian Gate" by optimizingits performance within a fixed, generic circuit architecture. The AI’s task was to create a gatethat, when used repeatedly, would yield the correct error syndrome for all possible single-qubitbit-flip errors. The performance of the resulting AI-forged circuit was then benchmarked against astandard, human-designed circuit built from CNOT gates. The results are decisive: the circuit builtfrom the AI’s Guardian Gate achieved an average success rate of 73.08% in correctly identifyingerror syndromes, dramatically outperforming the standard CNOT-based implementation, whichachieved only 25.00%. This suggests that AI-driven co-design can uncover non-intuitive, moreefficient computational primitives, paving the way for more compact and powerful QEC codes.
Category: Quantum Physics

[7] ai.viXra.org:2507.0055 [pdf] submitted on 2025-07-10 21:41:26

The Atomic Statistical Hypothesis

Authors: David Barbeau
Comments: 5 Pages.

The Atomic Statistical Hypothesis (ASH) proposes that light propagates as a continuous electromagnetic wave, with quantization observed in phenomena like the photoelectric effect arising from material-dependent energy absorption rather than intrinsic light quanta (photons). Energy not absorbed in discrete quanta, dictated by material properties such as the work function, is released as heat orlonger-wavelength radiation (e.g., infrared). This model eliminates the need for wave-particle duality and resolves inconsistencies in quantum mechanics (QM), including the geometric implausibility of photons, photovoltaic efficiency loss, blackbody radiation anomalies, and quantum entanglement’s non-locality. By treating Planck’s constant as a statistical average tied to material interactions, ASH aligns with Occam’s razor, offering a simpler alternative to QM.We propose an experimentcomparing sodium and cesium in the photoelectric effect near sodium’s threshold frequency to test material-dependent quantization, predicting cesium will produce more photocurrent/voltage and sodium more residual heat/infrared. If confirmed, this could redefine light-matter interactions and eliminate philosophical issues in QM.
Category: Quantum Physics

[6] ai.viXra.org:2507.0048 [pdf] submitted on 2025-07-08 22:24:35

A Novel 2-Qubit Quantum Random Number Generator Discovered Through Evolutionary Optimization

Authors: Peter Babulik
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

High-quality random numbers are critical for applications ranging from cryptography to scientific simulation. While Quantum Random Number Generators (QRNGs) offer a physically-grounded source of true randomness, the design of their underlying quantum circuits is a key area of research. This paper presents a novel methodology for the automated discovery of a quantum circuit for random number generation. We employ an evolutionary algorithm, specifically the CovarianceMatrix Adaptation Evolution Strategy (CMA-ES), to optimize the parameters of a generic 2-qubitunitary gate. The objective of the optimization was to transform the initial state |00⟩ into a state of maximal entropy, characterized by a uniform probability distribution across all four computational basis states. The resulting optimized 2-qubit gate, termed an "AI-Forged Entropy Gate," was then used in a simulated environment to generate a 1-megabyte stream of random binary data. The statistical quality of this data was rigorously assessed using the industry-standard dieharder testsuite. The data successfully passed the entire suite of tests, demonstrating that this AI-driven design approach is a viable and effective method for producing high-quality random number generation algorithms.
Category: Quantum Physics

[5] ai.viXra.org:2507.0033 [pdf] submitted on 2025-07-05 01:24:48

Mathematical Foundations of Information Entropy Consciousness-Cosmology Framework

Authors: Michael K Baines
Comments: 43 Pages.

We present a comprehensive methodology for conducting transparent AI-human collaborative research in cosmological data analysis, specifically applied to the detection of mathematical constant signatures in cosmic microwave background (CMB) radiation. Our approach demonstrates how artificial intelligence can augment human scientific intuition while maintaining rigorous statistical validation and complete methodological transparency. We outline an 8-week rapid validation pipeline designed to distinguish genuine physical signals from systematic artifacts, with specific application to our preliminary detection of π enhancement in Planck Legacy Archive PR4 data. This framework establishes protocols for reproducible AI-assisted discovery in observational cosmology while addressing concerns about AI reliability in scientific research. This work represents independent research conducted without institutional funding, demonstrating the potential for AI-collaborative discovery in resource-constrained environments.
Category: Quantum Physics

[4] ai.viXra.org:2507.0029 [pdf] submitted on 2025-07-06 02:20:27

Evidence for Quantum Information Collapse: Predicting δ 62Ni Spallation Anomalies in 1908 Tunguska Peat

Authors: Mirko Pavelec
Comments: 2 Pages.

We predict a significant isotopic anomaly of δ62Ni exceeding +1000u2030 in the 1908 Tunguska peat layer (sample T-1908-7, Kolesnikov et al. 1999). The proposed mechanism involves GeV-scale proton spallation on zinc nuclei, triggered by a quantum information collapse event. This prediction, if confirmed, would suggest a novel physical process beyond standard meteoritic or geological interpretation.
Category: Quantum Physics

[3] ai.viXra.org:2507.0015 [pdf] submitted on 2025-07-03 01:19:35

Fermion Wave Function in the VEQF Framework

Authors: Enver Torlakovic
Comments: 6 Pages. Offline Python computational libraries used to ensure numerical accuracy.

The Vacuum Energy Quanta Field (VEQF) framework redefines mass and gravity as emergent properties of a quantized lattice of Vacuum Energy Quanta (VEQ), synonymous with space and Dark Energy. This paper derives a deterministic, timeless wave function for Standard Model fermions, modeled as stable standing wave vortices sustained by transactional interactions with the lattice. The wave function includesripple modulation representing trickle re-charge from the VEQ field, with collapse occurring when transactional velocity reaches the speed of light . The derivation uses a refined lattice node spacing, consistent with prior VEQF models, and is validated numerically for fermions like the electron, up quark, strange quark, and top quark. The speculative nature of the lattice model is acknowledged, positioning VEQF as a hypothesis open to validation.
Category: Quantum Physics

[2] ai.viXra.org:2507.0012 [pdf] submitted on 2025-07-03 01:24:37

Convergence Force

Authors: Harsha Wijerathna
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

In quantum physics, particles propagate with wave-like behavior but always reap-pear as localized entities upon detection. We propose that this consistency arises froma new physical interaction: the Convergence Force. This force, mediated by a scalarfield Φ(xμ), preserves the energy integrity of particles during motion, preventing dissi-pation and ensuring reconvergence. We extend this model beyond electrons to includeprotons, suggesting a universal mechanism that maintains particle identity across allscales of matter.
Category: Quantum Physics

[1] ai.viXra.org:2507.0002 [pdf] submitted on 2025-07-01 00:22:18

Conscious Unity Theory: A Framework for Observer—Quantum State Convergence

Authors: Brian Keith Brake
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please list cited scientific references)

Conscious Unity Theory (CUT) posits that conscious experience and the quantum wavefunction are a single co-evolving entity. By formalising observation as a bidirectional entanglement process, CUT supplies a quantitative collapse threshold, resolves the measurement problem, and predicts specific neuro-quantum correlations. If correct, CUT unifies mind, matter, and time within a single ontological framework. This preprint outlines CUT’s axioms, derives falsifiable consequences for double-slit, quantum-eraser, and delayed-choice experiments, and distinguishes it from Orch-OR, QBism, and relational interpretations. Feedback and experimental collaboration are invited.
Category: Quantum Physics