Quantum Fluctuations

Surmounting the Cartesian Cut Through Philosophy, Physics, Logic, Cybernetics, and Geometry: Self-reference, Torsion, the Klein Bottle, the Time Operator, Multivalued Logics and Quantum Mechanics

Rapoport, D. L. (2009) · Foundations of Physics · doi:10.1007/s10701-009-9334-5 · Cited by 23

Scattering for stochastic nonlinear Schrödinger equations

Herr, S., Röckner, M., & Zhang, D. (2019) · PUB – Publications at Bielefeld University (Bielefeld University) · Cited by 22

Wasserstein Hamiltonian flows

Chow, S.-N., Li, W., & Zhou, H. (2019) · Journal of Differential Equations · doi:10.1016/j.jde.2019.08.046 · Cited by 18

The Black Hole Firewall Transformation and Realism in Quantum Mechanics

Hooft, G. ’. (2021) · Universe · doi:10.3390/universe7080298 · Cited by 21

Incompleteness of trajectory-based interpretations of quantum mechanics

Hall, M. J. W. (2004) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/37/40/015 · Cited by 21

Scattering for Stochastic Nonlinear Schrödinger Equations

Herr, S., Röckner, M., & Zhang, D. (2019) · Communications in Mathematical Physics · doi:10.1007/s00220-019-03429-0 · Cited by 20

Trading drift and fluctuations in entropic dynamics: quantum dynamics as an emergent universality class

Bartolomeo, D., & Caticha, A. (2016) · Journal of Physics Conference Series · doi:10.1088/1742-6596/701/1/012009 · Cited by 20

Entropic dynamics: reconstructing quantum field theory in curved space-time

Ipek, S., Abedi, M., & Caticha, A. (2019) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab436c · Cited by 23

Generalized Brownian motion and elasticity

Roux, S. (1987) · Journal of Statistical Physics · doi:10.1007/bf01010406 · Cited by 20

Hydrodynamics of superfluid quantum space: de Broglie interpretation of the quantum mechanics

Sbitnev, V. I. (2017) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-017-0116-z · Cited by 21

Quantum traversal time

Nassar, A. B. (1988) · Physical Review A · doi:10.1103/physreva.38.683 · Cited by 20

Stochastic collective dynamics of charged-particle beams in the stability regime

Petroni, N. C., Martino, S. D., Siena, S. D., et al. (2000) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.63.016501 · Cited by 19

Stochastic quantization for a system ofNidentical interacting Bose particles

Loffredo, M. I., & Morato, L. M. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/30/007 · Cited by 19

Dissipative stochastic mechanics for capturing neuronal dynamics under the influence of ion channel noise: Formalism using a special membrane

Güler, M. (2007) · Physical Review E · doi:10.1103/physreve.76.041918 · Cited by 19

Quantum consciousness in warm, wet and noisy brain

Sbitnev, V. I. (2016) · Modern Physics Letters B · doi:10.1142/s0217984916503292 · Cited by 30

Why quantum dynamics can be formulated as a Markov process

Garbaczewski, P., & Olkiewicz, R. (1995) · Physical Review A · doi:10.1103/physreva.51.3445 · Cited by 19

On extremals of the entropy production by ‘Langevin–Kramers’ dynamics

Muratore-Ginanneschi, P. (2014) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2014/05/p05013 · Cited by 18

On the connection between biased dichotomous diffusion and the one-dimensional Dirac equation

Balakrishnan, V., & Lakshmibala, S. (2005) · New Journal of Physics · doi:10.1088/1367-2630/7/1/011 · Cited by 18

Stochastic processes in conformal Riemann-Cartan-Weyl gravitation

Rapoport-Campodónico, D. L. (1991) · International Journal of Theoretical Physics · doi:10.1007/bf00675614 · Cited by 17

Urban Growth Processes Joining Cellular Automata and Multiagent Systems. Part 1: Theory and Models

Vancheri, A., Giordano, P., Andrey, D., et al. (2008) · Environment and Planning B Planning and Design · doi:10.1068/b31080a · Cited by 18

Variational principles for conservative and dissipative diffusions

Marra, R. (1987) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.36.1724 · Cited by 18

Quantum Theory Without Hilbert Spaces

Anastopoulos, C. (2001) · Foundations of Physics · doi:10.1023/a:1012690715414 · Cited by 21

Detection-time distribution for several quantum particles

Tumulka, R. (2022) · Physical Review A · doi:10.1103/physreva.106.042220 · Cited by 20

Entropic Dynamics on Gibbs Statistical Manifolds

Pessoa, P., Costa, F. X., & Caticha, A. (2021) · Entropy · doi:10.3390/e23050494 · Cited by 17

Some Jump Processes in Quantum Field Theory

Tumulka, R., & Georgii, H.-O. (2005) · Springer eBooks · doi:10.1007/3-540-27110-4_4 · Cited by 22

Convergence of Nelson fiffusions

Dell’Antonio, G., & Posilicano, A. (1991) · Communications in Mathematical Physics · doi:10.1007/bf02102816 · Cited by 17

Burgers' flows as Markovian diffusion processes

Garbaczewski, P., Kondrat, G., & Olkiewicz, R. (1997) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.55.1401 · Cited by 17

Description of Composite Quantum Systems by Means of Classical Random Fields

Khrennikov, A. Y. (2009) · Foundations of Physics · doi:10.1007/s10701-009-9392-8 · Cited by 16

Dephasing of a non-relativistic quantum particle due to a conformally fluctuating spacetime

Bonifacio, P. M., Wang, C. H.-T., Mendonça, J. T., et al. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/14/145013 · Cited by 16

An Application of Pontryagin’s Principle to Brownian Particle Engineered Equilibration

Muratore-Ginanneschi, P., & Schwieger, K. (2017) · Entropy · doi:10.3390/e19070379 · Cited by 16

Maxwell equations, nonzero photon mass, and conformal metric fluctuation

Kar, G., Sinha, M., & Roy, S. (1993) · International Journal of Theoretical Physics · doi:10.1007/bf00673762 · Cited by 16

The lagrangian approach to stochastic variational principles on curved manifolds

Aldrovandi, E., Dohrn, D., & Guerra, F. (1992) · Acta Applicandae Mathematicae · doi:10.1007/bf00047204 · Cited by 16

Mixtures in nonstable Lévy processes

Petroni, N. C. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/10/001 · Cited by 16

Theory of Dynamical Systems and the Relations Between Classical and Quantum Mechanics

Carati, A., & Galgani, L. (2001) · Foundations of Physics · doi:10.1023/a:1004103921290 · Cited by 16

Stochastic Analysis on Manifolds

Gliklikh, Y. E. (2010) · Theoretical and mathematical physics · doi:10.1007/978-0-85729-163-9_7 · Cited by 15

Elements of sub-quantum thermodynamics: quantum motion as ballistic diffusion

Grössing, G., Fussy, S., Pascasio, J. M., et al. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/306/1/012046 · Cited by 15

The Einstein–Podolsky–Rosen Effect: Paradox or Gate?

Basini, G., Capozzıello, S., & Longo, G. O. (2003) · General Relativity and Gravitation · doi:10.1023/a:1022384808713 · Cited by 15

On the Stochastic Mechanics Foundation of Quantum Mechanics

Beyer, M., & Paul, W. (2021) · Universe · doi:10.3390/universe7060166 · Cited by 17

An analogue of the Heisenberg uncertainty relation in prequantum classical field theory

Khrennikov, A. Y. (2010) · Physica Scripta · doi:10.1088/0031-8949/81/06/065001 · Cited by 14

Hamiltonian Structure of the Schrödinger Classical Dynamical System

Tessarotto, M., Mond, M., & Batic, D. (2016) · Foundations of Physics · doi:10.1007/s10701-016-0012-0 · Cited by 14

On the solvability of nonautonomous stochastic differential equations with current velocities

Azarina, S. V., & Gliklikh, Y. E. (2016) · Mathematical Notes · doi:10.1134/s0001434616070014 · Cited by 14

Quaternion Algebra on 4D Superfluid Quantum Space-Time: Can Dark Matter Be a Manifestation of the Superfluid Ether?

Sbitnev, V. I. (2021) · Universe · doi:10.3390/universe7020032 · Cited by 14

Classical microscopic theory of dispersion, emission and absorption of light in dielectrics

Carati, A., & Galgani, L. (2014) · The European Physical Journal D · doi:10.1140/epjd/e2014-50549-8 · Cited by 14

Inverse kinetic theory for quantum hydrodynamic equations

Tessarotto, M., Ellero, M., & Nicolini, P. (2007) · Physical Review A · doi:10.1103/physreva.75.012105 · Cited by 14

On the use of stochastic differential geometry for non-equilibrium thermodynamic modeling and control

Muratore-Ginanneschi, P. (2013) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/46/27/275002 · Cited by 14

Derivation and application of quantum Hamilton equations of motion

Köppe, J., Grecksch, W., & Paul, W. (2016) · Annalen der Physik · doi:10.1002/andp.201600251 · Cited by 14

Глобальная регулярность и оценки решений параболических уравнений

Bogachev, V. I., Bogachev, V. I., Рeкнер, М., et al. (2005) · Теория вероятностей и ее применения · doi:10.4213/tvp124 · Cited by 14

Quantum measurement in a family of hidden-variable theories

Peruzzi, G., & Rimini, A. (1996) · Foundations of Physics Letters · doi:10.1007/bf02190027 · Cited by 18

The Fokker–Planck Equation

Pavliotis, G. A. (2014) · Texts in applied mathematics · doi:10.1007/978-1-4939-1323-7_4 · Cited by 14

Dephasing of a non-relativistic quantum particle due to a conformally fluctuating spacetimePreprint

Bonifacio, P. M., Wang, C. H.-T., & Mendonca, E. A. J. T. (2009) · Cited by 14

Biophysics of Consciousness: A Scale-Invariant Acoustic Information Code of a Superfluid Quantum Space Guides the Mental Attribute of the Universe

Meijer, D. K. F., Jerman, I., Melkikh, A. V., & Sbitnev, V. I. (2020) · Studies in Rhythm Engineering · doi:10.1007/978-981-15-7253-1_8 · Cited by 17

Arrival Times Versus Detection Times

Goldstein, S., Tumulka, R., & Zanghı̀, N. (2024) · Foundations of Physics · doi:10.1007/s10701-024-00798-y · Cited by 18

Connecting Two Stochastic Theories That Lead to Quantum Mechanics

de la Peña, L., Cetto, A. M., & Valdés-Hernández, A. (2020) · Frontiers in Physics · doi:10.3389/fphy.2020.00162 · Cited by 13

Stochastic quantization on Lorentzian manifolds

Kuipers, F. (2021) · Journal of High Energy Physics · doi:10.1007/jhep05(2021)028 · Cited by 13

Stochastic-hydrodynamic model of halo formation in charged particle beams

Petroni, N. C., Martino, S. D., Siena, S. D., et al. (2003) · Physical Review Special Topics - Accelerators and Beams · doi:10.1103/physrevstab.6.034206 · Cited by 13

Stochastic electrodynamics with particle structure part II - towards a zero-point induced wave behavior

Rueda, A. (1993) · Foundations of Physics Letters · doi:10.1007/bf00697323 · Cited by 13

Non-Symmetric Diffusions and Related Hamiltonians

Albeverio, S. A., Morato, L. M., & Ugolini, S. (1998) · Potential Analysis · doi:10.1023/a:1008631212880 · Cited by 13

Generic Bohmian Trajectories of an Isolated Particle

Appleby, D. M. (1999) · Foundations of Physics · doi:10.1023/a:1018842401049 · Cited by 15

Some points of interaction between stochastic analysis and quantum theory

Albeverio, S. A. (2006) · Springer eBooks · doi:10.1007/bfb0041148 · Cited by 13

What is It Like to be a Relativistic GRW Theory? Or: Quantum Mechanics and Relativity, Still in Conflict After All These Years

Allori, V. (2022) · Foundations of Physics · doi:10.1007/s10701-022-00595-5 · Cited by 14

A Doob h-Transform of the Gross–Pitaevskii Hamiltonian

Albeverio, S. A., & Ugolini, S. (2015) · Journal of Statistical Physics · doi:10.1007/s10955-015-1337-3 · Cited by 12

Hessian transport gradient flows

Li, W., & Ying, L. (2019) · Research in the Mathematical Sciences · doi:10.1007/s40687-019-0198-9 · Cited by 12

Stochastic variational method as quantization scheme: Field quantization of the complex Klein–Gordon equation

Koide, T., & Kodama, T. (2015) · Progress of Theoretical and Experimental Physics · doi:10.1093/ptep/ptv127 · Cited by 15

Survey and examination of an electromagnetic vacuum accelerating effect and its astrophysical consequences

Rueda, A. (1990) · Space Science Reviews · doi:10.1007/bf00212755 · Cited by 11

Solutions of Burgers, Reynolds, and Navier–Stokes Equations via Stochastic Perturbations of Inviscid Flows

Gliklikh, Y. E. (2010) · Journal of Nonlinear Mathematical Physics · doi:10.1142/s1402925110000775 · Cited by 12

An Application of the Madelung Formalism for Dissipating and Decaying Systems

Mollai, M., & Fathi, S. M. S. (2021) · Symmetry · doi:10.3390/sym13050812 · Cited by 11

Wasserstein Hamiltonian Flow with Common Noise on Graph

Cui, J., Liu, S., & Zhou, H. (2023) · SIAM Journal on Applied Mathematics · doi:10.1137/22m1490697 · Cited by 11

Unified description of classical and quantum behaviours in a variational principle

Koide, T., Kodama, T., & Tsushima, K. (2015) · Journal of Physics Conference Series · doi:10.1088/1742-6596/626/1/012055 · Cited by 14

Quantum behavior derived as an essentially stochastic phenomenon

de la Peña, L., Cetto, A. M., & Valdés-Hernández, A. (2012) · Physica Scripta · doi:10.1088/0031-8949/2012/t151/014008 · Cited by 11

Moment map and gauge geometric aspects of the Schrödinger and Pauli equations

Spera, M. (2016) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s021988781630004x · Cited by 11

An inverse problem for stochastic differential equations

Albeverio, S., Blanchard, P., Kusuoka, S., et al. (1989) · Journal of Statistical Physics · doi:10.1007/bf01023648 · Cited by 11

On classical electrodynamics of point particles and mass renormalization: Some preliminary results

Bambusi, D., & Noja, D. (1996) · Letters in Mathematical Physics · doi:10.1007/bf00312675 · Cited by 11

Dissipation caused by a vorticity field and generation of singularities in Madelung fluid

Caliari, M., Inverso, G., & Morato, L. M. (2004) · New Journal of Physics · doi:10.1088/1367-2630/6/1/069 · Cited by 11

From two stochastic optimal control problems to the Schrodinger equation

Kime, K. A., & Blaquière, A. (2006) · Springer eBooks · doi:10.1007/bfb0041195 · Cited by 11

Bohm-Bell Dynamics in the Modal Interpretation

Bacciagaluppi, G. (1998) · The Western Ontario series in philosophy of science · doi:10.1007/978-94-011-5084-2_7 · Cited by 11

The Locality Problem in Stochastic Mechanics

NELSON, E. B. (1986) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1986.tb12456.x · Cited by 11

Detection Model Based on Representation of Quantum Particles by Classical Random Fields: Born’s Rule and Beyond

Khrennikov, A. Y. (2009) · Foundations of Physics · doi:10.1007/s10701-009-9312-y · Cited by 15

Is quantum mechanics based on an invariance principle?

Brenig, L. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/17/012 · Cited by 10

Stochastic deformation of a thermodynamic symplectic structure

Kazinski, P. O. (2009) · Physical Review E · doi:10.1103/physreve.79.011105 · Cited by 10

Derivation of the Local-Mean Stochastic Quantum Force

Tsekov, R., Heifetz, E., & Cohen, E. (2017) · Fluctuation and Noise Letters · doi:10.1142/s0219477517500286 · Cited by 11

Stochastic quantization on Lorentzian manifolds

Kuipers, F. (2021) · Sussex Research Online (University of Sussex) · Cited by 10

Role of the Electromagnetic Vacuum in the Transition from Classical to Quantum Mechanics

Cetto, A. M., & de la Peña, L. (2022) · Foundations of Physics · doi:10.1007/s10701-022-00605-6 · Cited by 10

Thermodynamic Gravity and the Schrödinger Equation

Gogberashvili, M. (2011) · International Journal of Theoretical Physics · doi:10.1007/s10773-011-0727-9 · Cited by 12

The stochastic mechanics of the Pauli equation

Wallstrom, T. C. (1990) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1990-0986033-3 · Cited by 10

The Fractal Structure of the Quantum Space-Time

Laurent Nottale, A. (2008) · Lecture notes in physics. M, Monographs · doi:10.1007/978-3-540-47582-8_8 · Cited by 10

Heat as manufacturing power or the source of disorder?

S̈esták, J. (2002) · Journal of Thermal Analysis and Calorimetry · doi:10.1023/a:1019989707529 · Cited by 10

De Broglian probabilities in the double-slit experiment

Božić, M., Marić, Z., & Vigier, J. P. (1992) · Foundations of Physics · doi:10.1007/bf01883664 · Cited by 10

The statistical mechanics of kinetically‐controlled RNA folding pathways

Fernández, A. (1995) · Annalen der Physik · doi:10.1002/andp.19955070606 · Cited by 10

Non-equilibrium in Stochastic Mechanics

Bacciagaluppi, G. (2012) · Journal of Physics Conference Series · doi:10.1088/1742-6596/361/1/012017 · Cited by 8

Specificity of the Schrödinger equation

Cetto, A. M., de la Peña, L., & Valdés-Hernández, A. (2015) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-015-0047-5 · Cited by 9

Interpretation for Probability Wave and Quantum Measured Problem

Wang, Z., & Wu, R. (2009) · International Journal of Theoretical Physics · doi:10.1007/s10773-009-9956-6 · Cited by 9

System Dynamics Control through the Fractal Potential

Timofte, A., Casian-Botez, I., Scurtu, D., et al. (2011) · Acta Physica Polonica A · doi:10.12693/aphyspola.119.304 · Cited by 9

A new look at the derivation of the Schrödinger equation from Newtonian mechanics

Fritsche, L., & Haugk, M. (2003) · Annalen der Physik · doi:10.1002/andp.20035150602 · Cited by 9

Quantum Schrödinger Bridges

Pavon, M. (2007) · Springer eBooks · doi:10.1007/3-540-36106-5_17 · Cited by 8

Introducing Randomness into First‐Order and Second‐Order Deterministic Differential Equations

Moxnes, J. F., & Hausken, K. (2010) · Advances in Mathematical Physics · doi:10.1155/2010/509326 · Cited by 9

On existence of optimal solutions for stochastic differential inclusions with mean derivatives

Gliklikh, Y. E., & Zheltikova, O. O. (2012) · Applicable Analysis · doi:10.1080/00036811.2012.753588 · Cited by 9

Spatially resolved characterization of electron localization and delocalization in molecules: Extending the Kohn‐Resta approach

Astakhov, A. A., & Григорьевич, Ц. В. (2018) · International Journal of Quantum Chemistry · doi:10.1002/qua.25600 · Cited by 9

Black Hole Information Problem and Wave Bursts

Gogberashvili, M., & Pantskhava, L. (2018) · International Journal of Theoretical Physics · doi:10.1007/s10773-018-3702-x · Cited by 9

How to Steer a Quantum System over a Schrödinger Bridge

Beghi, A., Ferrante, A., & Pavon, M. (2002) · Quantum Information Processing · doi:10.1023/a:1019873024970 · Cited by 9

Quantum fluids and classical determinants

Cvitanović, P., Vattay, G., & Wirzba, A. (2008) · Springer eBooks · doi:10.1007/bfb0105968 · Cited by 9

ИСПОЛЬЗОВAНИЕ ПОТЕНЦИAЛA СОЦИAЛЬНЫХ ПAРТНЕРОВ В ПОДГОТОВКЕ БУДУЩИХ ПЕДAГОГОВ

Атабекова, Б. Б. (2024) · Habaršy. Pedagogika ġylymdary seriâsy · doi:10.51889/2959-5762.2023.80.4.019

IDENTIFIKASI MODE RUSAK JAMAK (MULTI-FAULTS) BANTALAN MENGGUNAKAN ANALISIS ENVELOPE PADA TURBIN ANGIN Horizontal Axis

Firliandika, C. (2018)

ANALISIS PERLAKUAN AKUNTANSI PRODUK RUSAK PADA PT. AJINOMOTO INDONESIA MOJOKERTO FACTORY

Lisdyawati, E., Hariyadi, M., & Desipradani, S. P. G. (2017)

Perbedaan Kinerja Karyawan Sebelum dan Sesudah Penerapan Uraian Pekerjaan

Dewi, L. L. (2001)

EVALUASI PERLAKUAN AKUNTANSI HARGA POKOK PRODUK RUSAK PADA PT. MULIAPRIMA REPLICATAMA SEMARANG

DAMIAN, M. A. (2000) · Unika Repositor (Unika)