Amount of Information and Measurement Uncertainty
Article Sidebar
Published
May 7, 2020
Page:
1-8
Main Article Content
Boris Menin
Mechanical & Refrigeration Consultation, 9 Yakov Efrat St., Beer-Sheba 8464209, Israel.
Abstract
Aims: To acquaint specialists in the field of physics and technology, experimenters and theoreticians with the possibilities of using information theory to analyze the results of an experiment, without a statistical and subjective expert approach.
Place and Duration of Study: Mechanical & Refrigeration Consultation Expert, between December 2019 and February 2020.
Methodology: Using the information approach and calculating the amount of information contained in the model of measuring a physical constant, we formulate a quantitative indicator for analyzing the results of the experiment.
Results: The appropriateness of applying the described approach is checked when studying the database when measuring various physical constants. The approach is applicable to the analysis of results obtained both for a long and a short period of time.
Conclusion: The information-theoretical approach allows us to formulate a universal indicator of the threshold mismatch between the model and the phenomenon, applicable to all scientific and technical fields in which the International System of Units (SI) is used.
Keywords:
CODATA, Boltzmann constant, Planck constant, gravitational constant, Hubble constant, international system of units, mathematical modeling, relative uncertainty
Article Details
How to Cite
Section
Method Article
References
Johnson R, Watkinson A, Mabe M. The STM report: An overview of scientific and scholarly publishing. International Association of Scientific, Technical and Medical Publishers. 2018;1–214.
(Accessed 10 March 2020)
Available:https://www.stm-assoc.org/2018_10_04_STM_Report_2018.pdf
Scientific and Technical Journal Articles, World Bank Data; 2019.
(Accessed 10 March 2020)
Available:https://data.worldbank.org/indicator/IP.JRN.ARTC.SC
Milton MJT, Possolo A. Trustworthy data underpin reproducible research. Nature Physics. 2020;16(2):117–119.
(Accessed 10 March 2020)
Available:https://sci-hub.tw/10.1038/s41567-019-0780-5
Gelman A. Essay: The experiments are fascinating. But nobody can repeat them. The New York Times; 2018.
(Accessed 10 March 2020)
Available:https:
//www.nytimes.com/2018/11/19/science/science-research-fraud-reproducibility.html
Trouble at the Lab. The Economist.
(Accessed 10 March 2020)
Available:https://www.economist.com/briefing/2013/10/18/trouble-at-the-lab
Chapman CA, Bicca-Marques JC, Calvignac-Spencer S, Fan P, Peter J, Fashing PJ, Jan Gogarten J, et al. Games academics play and their consequences: How authorship, h-index and journal impact factors are shaping the future of academia. Proceedings of the Royal Society B: Biological Sciences. 2019;286: 1-9.
(Accessed 11 March 2020)
Available:https://sci-hub.tw/10.1098/rspb.2019.2047
Buchanan M. The certainty of uncertainty. Nature Physics. 2020;16(2):120–120.
(Accessed 11 March 2020)
Available:https://sci-hub.tw/10.1038/s41567-020-0786-z
Baker M. Is there a reproducibility crisis? Nature. 2017;533:452-454.
(Accessed 11 March 2020)
Available:https://www.nature.com/news/
polopoly_fs/1.19970!/menu/main/topColumns/topLeftColumn/pdf/533452a.pdf
Wang L, Sofer Z, Pumera M. Will any crap we put into graphene increase its electro-catalic effect? ACS Nano. 2020;14:21–25.
(Accessed 11 March 2020)
Available:https://sci-hub.tw/10.1021/acsnano.9b00184
Freedman LP, Cockburn IM, Simcoe TS. The economics of reproducibility in preclinical research. PLoS Biol. 2015;13(6):e1002165.
(Accessed 11 March 2020)
Available:https://doi.org/10.1371/journal.pbio.1002165
Chang AC, Phillip L. Is economics research replicable? Sixty Published Papers from Thirteen Journals Say “Usually Not”. Finance and Economics Discussion Series. Washington: Board of Governors of the Federal Reserve System. 2015;1-26.
(Accessed 11 March 2020)
Available:http://dx.doi.org/10.17016/FEDS.2015.083
Menin B. Uncertainty assessment of refrigeration equipment using an information approach. Journal of Applied Mathematics and Physics. 2020;8(1):23–37.
(Accessed 30 January 2020)
Available:https://www.scirp.org/journal/Paperabs.aspx?PaperID=97483
Open Science Collaboration. Estimating the reproducibility of psychological science. Science. 2015;349:aac4716.
(Accessed 11 March 2020)
Available:https://sci-hub.tw/10.1126/science.aac4716
Menin B. Information measure approach for calculating model uncertainty of physical phenomena. American Journal of Computational and Applied Mathematics. 2017;7(1):11–24.
(Accessed 11 March 2020)
Available:http://article.sapub.org/10.5923.j.ajcam.20170701.02.html
Brillouin L. Science and information theory. Dover, New York; 2004.
Menin B. Progress in reducing the uncertainty of measurement of Planck’s constant in terms of the information approach. Physical Science International Journal. 2019;21(2):1–11.
(Accessed 11 March 2020)
Available:http://www.journalpsij.com/index.php/PSIJ/article/view/30104/56478
Menin B. Hubble constant tension in terms of information approach. Physical Science International Journal. 2019;23(4):1–15.
(Accessed 11 March 2020)
Available:https://doi.org/10.9734/psij/2019/v23i430165
Menin B. Precise measurements of the gravitational constant: Revaluation by the information approach. Journal of Applied Mathematics and Physics. 2019;7(6): 1272–1288.
(Accessed 11 March 2020)
Available:http://file.scirp.org/pdf/JAMP_2019062614403787.pdf
Menin B. The Boltzmann constant: Evaluation of measurement relative uncertainty using the information approach. Journal of Applied Mathematics and Physics. 2019;7(3):486–504.
(Accessed 11 March 2020)
Available:10.4236/jamp.2019.73035
Gorban II. The physical-mathematical theory of hyper-random phenomena. Computer Science Journal of Moldova. 2017;25(2):145–194.
(Accessed 11 March 2020)
Available:http://www.math.md/files/csjm/v25-n2/v25-n2-(pp145-194).pdf
(Accessed 10 March 2020)
Available:https://www.stm-assoc.org/2018_10_04_STM_Report_2018.pdf
Scientific and Technical Journal Articles, World Bank Data; 2019.
(Accessed 10 March 2020)
Available:https://data.worldbank.org/indicator/IP.JRN.ARTC.SC
Milton MJT, Possolo A. Trustworthy data underpin reproducible research. Nature Physics. 2020;16(2):117–119.
(Accessed 10 March 2020)
Available:https://sci-hub.tw/10.1038/s41567-019-0780-5
Gelman A. Essay: The experiments are fascinating. But nobody can repeat them. The New York Times; 2018.
(Accessed 10 March 2020)
Available:https:
//www.nytimes.com/2018/11/19/science/science-research-fraud-reproducibility.html
Trouble at the Lab. The Economist.
(Accessed 10 March 2020)
Available:https://www.economist.com/briefing/2013/10/18/trouble-at-the-lab
Chapman CA, Bicca-Marques JC, Calvignac-Spencer S, Fan P, Peter J, Fashing PJ, Jan Gogarten J, et al. Games academics play and their consequences: How authorship, h-index and journal impact factors are shaping the future of academia. Proceedings of the Royal Society B: Biological Sciences. 2019;286: 1-9.
(Accessed 11 March 2020)
Available:https://sci-hub.tw/10.1098/rspb.2019.2047
Buchanan M. The certainty of uncertainty. Nature Physics. 2020;16(2):120–120.
(Accessed 11 March 2020)
Available:https://sci-hub.tw/10.1038/s41567-020-0786-z
Baker M. Is there a reproducibility crisis? Nature. 2017;533:452-454.
(Accessed 11 March 2020)
Available:https://www.nature.com/news/
polopoly_fs/1.19970!/menu/main/topColumns/topLeftColumn/pdf/533452a.pdf
Wang L, Sofer Z, Pumera M. Will any crap we put into graphene increase its electro-catalic effect? ACS Nano. 2020;14:21–25.
(Accessed 11 March 2020)
Available:https://sci-hub.tw/10.1021/acsnano.9b00184
Freedman LP, Cockburn IM, Simcoe TS. The economics of reproducibility in preclinical research. PLoS Biol. 2015;13(6):e1002165.
(Accessed 11 March 2020)
Available:https://doi.org/10.1371/journal.pbio.1002165
Chang AC, Phillip L. Is economics research replicable? Sixty Published Papers from Thirteen Journals Say “Usually Not”. Finance and Economics Discussion Series. Washington: Board of Governors of the Federal Reserve System. 2015;1-26.
(Accessed 11 March 2020)
Available:http://dx.doi.org/10.17016/FEDS.2015.083
Menin B. Uncertainty assessment of refrigeration equipment using an information approach. Journal of Applied Mathematics and Physics. 2020;8(1):23–37.
(Accessed 30 January 2020)
Available:https://www.scirp.org/journal/Paperabs.aspx?PaperID=97483
Open Science Collaboration. Estimating the reproducibility of psychological science. Science. 2015;349:aac4716.
(Accessed 11 March 2020)
Available:https://sci-hub.tw/10.1126/science.aac4716
Menin B. Information measure approach for calculating model uncertainty of physical phenomena. American Journal of Computational and Applied Mathematics. 2017;7(1):11–24.
(Accessed 11 March 2020)
Available:http://article.sapub.org/10.5923.j.ajcam.20170701.02.html
Brillouin L. Science and information theory. Dover, New York; 2004.
Menin B. Progress in reducing the uncertainty of measurement of Planck’s constant in terms of the information approach. Physical Science International Journal. 2019;21(2):1–11.
(Accessed 11 March 2020)
Available:http://www.journalpsij.com/index.php/PSIJ/article/view/30104/56478
Menin B. Hubble constant tension in terms of information approach. Physical Science International Journal. 2019;23(4):1–15.
(Accessed 11 March 2020)
Available:https://doi.org/10.9734/psij/2019/v23i430165
Menin B. Precise measurements of the gravitational constant: Revaluation by the information approach. Journal of Applied Mathematics and Physics. 2019;7(6): 1272–1288.
(Accessed 11 March 2020)
Available:http://file.scirp.org/pdf/JAMP_2019062614403787.pdf
Menin B. The Boltzmann constant: Evaluation of measurement relative uncertainty using the information approach. Journal of Applied Mathematics and Physics. 2019;7(3):486–504.
(Accessed 11 March 2020)
Available:10.4236/jamp.2019.73035
Gorban II. The physical-mathematical theory of hyper-random phenomena. Computer Science Journal of Moldova. 2017;25(2):145–194.
(Accessed 11 March 2020)
Available:http://www.math.md/files/csjm/v25-n2/v25-n2-(pp145-194).pdf