Why TGM is not based on fundamental constants
I found an interesting commentary:
http://gorpub.freeshell.org/dozenal/blosxom.cgi/fund_const.html
The reasons cited are
1. Accuracy of our Measures
2. Scaling the Constants
3. Selecting Appropriate Constants
1. Accuracy of our Measures
Values expressed in existing units of fundamental constants
(a) are unstable
(b) have insufficient significant digits
Point (a) is a problem with the understanding of fundamental constants. For example, from God's point of view, the value expressed in SI units of the Rydberg constant is a fixed value. The recommended values in CODATA change every time they are published, not because the magnitude of the fundamental constants changes.This instability is not a problem with the fundamental constants but rather a problem with the measurement system. https://twitter.com/dozenal/status/240516766416125952 states that Takashi Suga's Universal Unit System is based on CODATA, but this is incorrect. No matter how the CODATA values change, the Universal Unit System is not affected.
Point (b) is a problem of technical measurement accuracy. This problem is becoming a thing of the past. According to http://www.bipm.org/utils/common/pdf/24_CGPM_Convocation_Draft_Resolution_A.pdf, the next revision of the SI will define SI units based on fundamental constants.
2. Scaling the Constants
The scaling factor of the Universal System of Units is not 12, but rather 12 to the power of 8. (http://www.asahi-net.or.jp/~dd6t-sg/univunit-e/univunit-e.pdf p.13, the last paragraph of §3.3) Therefore, if we require that the size of the units be human scale, there will be no arbitrariness left, and the size of the units will be uniquely determined.
3. Selecting Appropriate Constants
Looking at Table 2 in http://www.asahi-net.or.jp/~dd6t-sg/univunit-e/tables.pdf, the ratio of many fundamental constants (almost all important fundamental constants except Newton's gravitational constant) to the unit of the universal unit system of the same dimension is approximately
2n × 12m (n=0,±1, m is an integer).
No matter which constant is used to define the unit, the resulting system of units will not make much difference.
[Related] Added 2026-05-26,29
2018-06-29 Surface area of a supersphere (Japanese Article)
2026-05-29 The Scaling Factor U (= 12^8)
-> Japanese
http://gorpub.freeshell.org/dozenal/blosxom.cgi/fund_const.html
The reasons cited are
1. Accuracy of our Measures
2. Scaling the Constants
3. Selecting Appropriate Constants
1. Accuracy of our Measures
Values expressed in existing units of fundamental constants
(a) are unstable
(b) have insufficient significant digits
Point (a) is a problem with the understanding of fundamental constants. For example, from God's point of view, the value expressed in SI units of the Rydberg constant is a fixed value. The recommended values in CODATA change every time they are published, not because the magnitude of the fundamental constants changes.This instability is not a problem with the fundamental constants but rather a problem with the measurement system. https://twitter.com/dozenal/status/240516766416125952 states that Takashi Suga's Universal Unit System is based on CODATA, but this is incorrect. No matter how the CODATA values change, the Universal Unit System is not affected.
Point (b) is a problem of technical measurement accuracy. This problem is becoming a thing of the past. According to http://www.bipm.org/utils/common/pdf/24_CGPM_Convocation_Draft_Resolution_A.pdf, the next revision of the SI will define SI units based on fundamental constants.
2. Scaling the Constants
The scaling factor of the Universal System of Units is not 12, but rather 12 to the power of 8. (http://www.asahi-net.or.jp/~dd6t-sg/univunit-e/univunit-e.pdf p.13, the last paragraph of §3.3) Therefore, if we require that the size of the units be human scale, there will be no arbitrariness left, and the size of the units will be uniquely determined.
3. Selecting Appropriate Constants
Looking at Table 2 in http://www.asahi-net.or.jp/~dd6t-sg/univunit-e/tables.pdf, the ratio of many fundamental constants (almost all important fundamental constants except Newton's gravitational constant) to the unit of the universal unit system of the same dimension is approximately
2n × 12m (n=0,±1, m is an integer).
No matter which constant is used to define the unit, the resulting system of units will not make much difference.
[Related] Added 2026-05-26,29
2018-06-29 Surface area of a supersphere (Japanese Article)
2026-05-29 The Scaling Factor U (= 12^8)
-> Japanese
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