<i>π</i>-theorem generalization of the ice-age theory

Verbitsky, Mikhail Y.; Crucifix, Michel

doi:https://doi.org/10.5194/esd-11-281-2020

Articles | Volume 11, issue 1

https://doi.org/10.5194/esd-11-281-2020

© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/esd-11-281-2020

© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 11, issue 1

Research article

|

17 Mar 2020

Research article |

| 17 Mar 2020

π-theorem generalization of the ice-age theory

Mikhail Y. Verbitsky and Michel Crucifix

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Cumulative views and downloads (calculated since 23 Oct 2019)

Month	HTML	PDF	XML	Total
Oct 2019	118	18	4	140
Nov 2019	98	11	1	110
Dec 2019	87	19	3	109
Jan 2020	44	10	0	54
Feb 2020	33	2	0	35
Mar 2020	191	44	5	240
Apr 2020	112	13	1	126
May 2020	101	6	1	108
Jun 2020	135	54	2	191
Jul 2020	244	45	11	300
Aug 2020	148	8	1	157
Sep 2020	84	6	1	91
Oct 2020	60	12	1	73
Nov 2020	51	9	1	61
Dec 2020	57	11	0	68
Jan 2021	57	10	0	67
Feb 2021	27	4	0	31
Mar 2021	31	5	0	36
Apr 2021	18	3	0	21
May 2021	30	7	2	39
Jun 2021	24	4	3	31
Jul 2021	48	10	2	60
Aug 2021	37	9	2	48
Sep 2021	29	10	1	40
Oct 2021	22	33	1	56
Nov 2021	27	29	1	57
Dec 2021	30	7	0	37
Jan 2022	15	5	2	22
Feb 2022	17	4	2	23
Mar 2022	21	5	0	26
Apr 2022	41	8	2	51
May 2022	22	6	0	28
Jun 2022	14	2	0	16
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Aug 2022	14	6	0	20
Sep 2022	11	2	0	13
Oct 2022	22	3	2	27
Nov 2022	29	9	0	38
Dec 2022	24	3	1	28
Jan 2023	16	5	0	21
Feb 2023	32	4	0	36
Mar 2023	32	4	4	40
Apr 2023	23	2	0	25
May 2023	24	11	0	35
Jun 2023	25	12	3	40
Jul 2023	12	5	1	18
Aug 2023	13	5	1	19
Sep 2023	18	8	0	26
Oct 2023	19	7	0	26
Nov 2023	14	8	0	22
Dec 2023	21	6	0	27
Jan 2024	33	2	1	36
Feb 2024	19	10	1	30
Mar 2024	24	8	0	32
Apr 2024	24	9	1	34

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Short summary

Using the central theorem of dimensional analysis, the π theorem, we show that the relationship between the amplitude and duration of glacial cycles is governed by a property of scale invariance that does not depend on the physical nature of the underlying positive and negative feedbacks incorporated by the system. It thus turns out to be one of the most fundamental properties of the Pleistocene climate.