Journal of Physics & Astronomy

Open Access Open Access  Restricted Access Subscription Access

Statistical Independence in Quantum Mechanics


Affiliations
1 Casting Analysis Corp., 8379 Ursa Lane, Weyers Cave, Virginia 24486, United States
2 Freeport-McMoRan, Phoenix, AZ 85050, United States
 

Algebraic mistakes of using a non-relativistic functions betrayed Dirac’s elegant derivation of the relativistic equation of quantum mechanics and exposed a short coming of special relativity. It was a serious mistake because that famous paper became a model for theorist to follow who produced an unending stream of nonsense. The mistake was compounded because it hid the fact that special relativity was still incomplete. Multiple independent spaces are required to generate both dynamics as well as produce particle properties. The concept of statistical independence of spaces that encapsulated quantum objects, fields and particles, was necessary for physics to have a relativistic basis for both massive particles and massless fields. The example that will be developed is the origin of the solar neutrino survival data that requires the electron neutrino to be massless as originally proposed by Pauli. The analysis renders a proof of the original quantum conjecture by Planck and Einstein that radiation is quantized and how inertia for massive particles is generated.

Keywords

Quantum Mechanics, Relativity, Neutrinos.
User
Notifications
Font Size

  • Formaggio JA, Zeller GP. From eV to EeV: Neutrino cross sections across energy scales. Rev. Mod. Phys. 2012 24;84(3):1307.

  • Gamow G. Thirty years that shook physics: The story of quantum theory. Anchor Book, NYC 1966.

  • Halpern P. Einstein's Dice and Schr dinger's Cat: How Two Great Minds Battled Quantum Randomness to Create a Unified Theory Phys., Basic Books; 2015 14.

  • Kac M. Random walk and the theory of Brownian motion. Am. Math. Mon.1947;54(7P1):369-91.

  • Kac M. On distributions of certain Wiener functionals. Trans. Am. Math. Soc. 1949;65(1):1-3.

  • Kac M, Carus mathematical monographs n. 12. Statistical Independence in Probability. Maa; 1959

  • Kac M. Can one hear the shape of a drum?. am. math. mon. 1966;73(4P2):1-23.

  • Dodd CV, Deeds WE. Analytical solutions to eddy‐current probe‐coil problems. J. appl. phys. 1968;39(6):2829-38

  • Wallace, J. SSTIN10 AIP Conference Proceedings 1352, edited by G. Myneni and et. al. (AIP, Melville, NY) 2011:205-312.

  • Wallace JP. Electrodynamics in iron and steel. arXiv preprint arXiv:0901.1631. 2009.

  • Wallace JP. Spintronics enter the iron age. JOM. 2009;61(6):67-71.

  • Wallace JP and Wallace MJ. The Principles of Matter: Amending Quantum Mechanics. Cast. Anal. Corp.; 2014.

  • Formaggio JA, Zeller GP. From eV to EeV: Neutrino cross sections across energy scales. Rev. Mod. Phys. 2012 24;84(3):1307

  • Wallace JP and Wallace MJ. Electrostatics. In AIP Conference Proceedings. AIP Publ. LLC 2015;1687(1):040004

  • Slater L. J.Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, ASM 55, edited by M. Abramowitz and I. Stegun (Dept. of Commerce, Washington DC) 1968:503-36

  • Wallace JP, Wallace MJ. “The bound state” vixra:2103.0026.2021

  • Wallace JP, Wallace MJ. Nuclear Structure and Cold Fusion. J. OF CONDENS. MATTER NUCL. SCI. 2020

  • Dirac PA. Relativistic quantum mechanics. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. 1932;136(829):453-64

  • Pauli W, Weisskopf VF. Über die Quantisierung der skalaren relativistischen Wellengleichung. Wolfgang Pauli: Gewissen Phys. 1988:407-30.

  • Dirac PA. The principles of quantum mechanics, 4th edn. Clarendon.1958

  • Bethe HA and Salpeter EE. Quantum mechanics of one-and two-electron atoms. Springer Sci. Bus. Media; 2012(6)

  • Wallace J and Wallace M. “yes Virginia, Quantum Mechanics can be Understood”. Cast. Anal. Corp., Weyers Cave, VA. 2017.

  • Feinberg G. Possibility of faster-than-light particles. Phys. Rev. 1967;159(5):1089.

  • Derbin A, Muratova V, Agostini M, at al. The Main Results of the Borexino Experiment.1605.06795. 2016 (22).


Abstract Views: 105

PDF Views: 0




  • Statistical Independence in Quantum Mechanics

Abstract Views: 105  |  PDF Views: 0

Authors

John P. Wallace
Casting Analysis Corp., 8379 Ursa Lane, Weyers Cave, Virginia 24486, United States
Michael J. Wallace
Freeport-McMoRan, Phoenix, AZ 85050, United States

Abstract


Algebraic mistakes of using a non-relativistic functions betrayed Dirac’s elegant derivation of the relativistic equation of quantum mechanics and exposed a short coming of special relativity. It was a serious mistake because that famous paper became a model for theorist to follow who produced an unending stream of nonsense. The mistake was compounded because it hid the fact that special relativity was still incomplete. Multiple independent spaces are required to generate both dynamics as well as produce particle properties. The concept of statistical independence of spaces that encapsulated quantum objects, fields and particles, was necessary for physics to have a relativistic basis for both massive particles and massless fields. The example that will be developed is the origin of the solar neutrino survival data that requires the electron neutrino to be massless as originally proposed by Pauli. The analysis renders a proof of the original quantum conjecture by Planck and Einstein that radiation is quantized and how inertia for massive particles is generated.

Keywords


Quantum Mechanics, Relativity, Neutrinos.

References