Connecting Bernoulli and Schrödinger Equations and Its Impact on Quantum-Mechanic Wave Function and Entanglement Problems

Siavash H. Sohrab

doi:10.1007/978-3-030-70795-8_62

Connecting Bernoulli and Schrödinger Equations and Its Impact on Quantum-Mechanic Wave Function and Entanglement Problems

Siavash H. Sohrab^*

^*Corresponding author for this work

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

An invariant model of Boltzmann statistical mechanics is applied to derive invariant Schrödinger equation of quantum mechanics from invariant Bernoulli equation of hydrodynamics. The results suggest new perspectives regarding quantum mechanics wave function and its collapse, stationary versus propagating wave functions, and wave-particle duality. The invariant hydrodynamic model also leads to the definition of generalized shock waves in “supersonic” flows at molecular-, electro-, and chromo-dynamic scales with (Mach, Lorentz, and Michelson) numbers exceeding unity. The invariant internal hydro-thermo-diffusive structure of such generalized “shock” waves are described.

Original language	English (US)
Title of host publication	13th Chaotic Modeling and Simulation International Conference
Editors	Christos H. Skiadas, Yiannis Dimotikalis
Publisher	Springer Science and Business Media B.V.
Pages	891-909
Number of pages	19
ISBN (Print)	9783030707941
DOIs	https://doi.org/10.1007/978-3-030-70795-8_62
State	Published - 2021
Event	13th Chaotic Modeling and Simulation International Conference, CHAOS 2020 - Florence, Italy Duration: Jun 9 2020 → Jun 12 2020

Publication series

Name	Springer Proceedings in Complexity
ISSN (Print)	2213-8684
ISSN (Electronic)	2213-8692

Conference

Conference	13th Chaotic Modeling and Simulation International Conference, CHAOS 2020
Country/Territory	Italy
City	Florence
Period	6/9/20 → 6/12/20

Funding

This research was in part supported by NASA grant No. NAG3-1863.

ASJC Scopus subject areas

Applied Mathematics
Modeling and Simulation
Computer Science Applications

Access to Document

10.1007/978-3-030-70795-8_62

Cite this

Sohrab, S. H. (2021). Connecting Bernoulli and Schrödinger Equations and Its Impact on Quantum-Mechanic Wave Function and Entanglement Problems. In C. H. Skiadas, & Y. Dimotikalis (Eds.), 13th Chaotic Modeling and Simulation International Conference (pp. 891-909). (Springer Proceedings in Complexity). Springer Science and Business Media B.V.. https://doi.org/10.1007/978-3-030-70795-8_62

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title = "Connecting Bernoulli and Schr{\"o}dinger Equations and Its Impact on Quantum-Mechanic Wave Function and Entanglement Problems",

abstract = "An invariant model of Boltzmann statistical mechanics is applied to derive invariant Schr{\"o}dinger equation of quantum mechanics from invariant Bernoulli equation of hydrodynamics. The results suggest new perspectives regarding quantum mechanics wave function and its collapse, stationary versus propagating wave functions, and wave-particle duality. The invariant hydrodynamic model also leads to the definition of generalized shock waves in “supersonic” flows at molecular-, electro-, and chromo-dynamic scales with (Mach, Lorentz, and Michelson) numbers exceeding unity. The invariant internal hydro-thermo-diffusive structure of such generalized “shock” waves are described.",

author = "Sohrab, \{Siavash H.\}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 13th Chaotic Modeling and Simulation International Conference, CHAOS 2020 ; Conference date: 09-06-2020 Through 12-06-2020",

year = "2021",

doi = "10.1007/978-3-030-70795-8\_62",

language = "English (US)",

isbn = "9783030707941",

series = "Springer Proceedings in Complexity",

publisher = "Springer Science and Business Media B.V.",

pages = "891--909",

editor = "Skiadas, \{Christos H.\} and Yiannis Dimotikalis",

booktitle = "13th Chaotic Modeling and Simulation International Conference",

}

Sohrab, SH 2021, Connecting Bernoulli and Schrödinger Equations and Its Impact on Quantum-Mechanic Wave Function and Entanglement Problems. in CH Skiadas & Y Dimotikalis (eds), 13th Chaotic Modeling and Simulation International Conference. Springer Proceedings in Complexity, Springer Science and Business Media B.V., pp. 891-909, 13th Chaotic Modeling and Simulation International Conference, CHAOS 2020, Florence, Italy, 6/9/20. https://doi.org/10.1007/978-3-030-70795-8_62

Connecting Bernoulli and Schrödinger Equations and Its Impact on Quantum-Mechanic Wave Function and Entanglement Problems. / Sohrab, Siavash H.
13th Chaotic Modeling and Simulation International Conference. ed. / Christos H. Skiadas; Yiannis Dimotikalis. Springer Science and Business Media B.V., 2021. p. 891-909 (Springer Proceedings in Complexity).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - An invariant model of Boltzmann statistical mechanics is applied to derive invariant Schrödinger equation of quantum mechanics from invariant Bernoulli equation of hydrodynamics. The results suggest new perspectives regarding quantum mechanics wave function and its collapse, stationary versus propagating wave functions, and wave-particle duality. The invariant hydrodynamic model also leads to the definition of generalized shock waves in “supersonic” flows at molecular-, electro-, and chromo-dynamic scales with (Mach, Lorentz, and Michelson) numbers exceeding unity. The invariant internal hydro-thermo-diffusive structure of such generalized “shock” waves are described.

AB - An invariant model of Boltzmann statistical mechanics is applied to derive invariant Schrödinger equation of quantum mechanics from invariant Bernoulli equation of hydrodynamics. The results suggest new perspectives regarding quantum mechanics wave function and its collapse, stationary versus propagating wave functions, and wave-particle duality. The invariant hydrodynamic model also leads to the definition of generalized shock waves in “supersonic” flows at molecular-, electro-, and chromo-dynamic scales with (Mach, Lorentz, and Michelson) numbers exceeding unity. The invariant internal hydro-thermo-diffusive structure of such generalized “shock” waves are described.

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Connecting Bernoulli and Schrödinger Equations and Its Impact on Quantum-Mechanic Wave Function and Entanglement Problems

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