non-abelian money; wealth as matrix
Electronic implementation of non-abelian money would be a snap. The social implementation might be a bit tougher, however – convincing people that their net wealth should be a matrix would be a tough sell, at least initially. Still, if non-abelian money changed some key results from economics, then in some niches it may be advantageous to make the switch, and possible to convince people that this is a good idea.
http://michaelnielsen.org/blog/?p=269
abelian
http://en.wikipedia.org/wiki/Abelian_group
http://en.wikipedia.org/wiki/Non-Abelian
不明白。但想明白:)大家帮忙啊。我不是指翻译啊。我指数学概念和模型,然后用在货币上。我对现行货币制度太失望了。不公平!让财富成为矩阵吧。
对了。该文章开头举了个例子说什么是abelian money。很简单,有意思。
What would happen if we replaced the current monetary system, which is based on an abelian group [*] by a non-abelian currency system?
[*] If someone gives you x dollars, then y dollars, the result is the same as if you were given y dollars first, then x.
就是说我先给你x元,在给你y元钱,你的收入是x+y了,和我先给你y元再给你x元是一样的。数目和顺序没有关系。这么说来,在non-abelian系统中,先后顺序对结果是有影响的!!想不出来。:)
最后这个提醒很好。现在的货币中确实也有了non-abelian的系统
(It should, of course, be noted that there are in practice already many effects which make money act in a somewhat non-abelian fashion, e.g., inflation.
对,这个例子太好了。考虑通货膨胀的话其实给你钱的多少就合先后顺序(就是时间)有关系了。比如我年初向你借100元,说年末还你100元。到了年底,如果通货膨胀是10%,那么年底的110元才等价于年初的100元。但我只还你100元,其实你的财富已经变化了。把这个例子复杂一点,我年中还你50,年末还你50,通货膨胀假设还是10%。大家算算你亏了多少。:)
这个不是说朋友管你借钱一定要利息。这个是说,通货膨胀因素一定要考虑。比如,说今年大家工资都长5%,但通货膨胀是10%,你实际收入的购买力并没有增加反而减少了。国际上各国的央行、银行、政客最爱用这类谎言。
国家减税也是这样。我今年减税5%,年底通胀10%,你以为少交税了,但还是亏,但政客得到了减免税的好名声。可是国家不去控制通货膨胀,实际受损还是纳税人啊。
今天怎么说和英语无关的。
我确实想了解一下non-abelian的货币系统会是什么样子。大家帮我问问身边有没有特懂数学的。出来给解释一下。
这篇文章的评论也应该看。质量挺高。有人说了通胀不是non-abelian而是
Inflation isn’t non-abelian value of money, it’s time-variant value of money.
negative money的想法一样有趣。:)
Negative money has all kinds of cool and interesting properties. My favourites among those Ben suggested were these: (1) burglars might break into your house, and leave some cash; and (2) people would have much less incentive to counterfeit.
对了,这篇文章的作者也不是一般人。他是过去12年中量子计算领域第一人。不过今年不干那个了。转做完全不同的网络科学写作出版了!