A Resolution of the Black Hole Information Paradox via Transfinite Set Theory

A black hole is essentially a relativistic as well as a quantum object. Therefore the information paradox of black holes is a consequence of the clash between these two most fundamental theories of modern physics. It is logical to conclude that a resolution of the problem requires some form of a quantum gravity theory. The present work proposes such a resolution using set theory and pointless spacetime geometry.

The Counterintuitive Increase of Information Due to Extra Spacetime Dimensions of a Black Hole and Dvoretzky’s Theorem

As per Hawking and Bekenstein’s work on black holes, information resides on the surface and there is a limit on it amounting to a bit for every Planck area. It would seem therefore that extra dimensions would logically lead to a hyper-surface for a black hole and consequently a reduction of the corresponding information density due to the dilution effect of these additional dimensions. The present paper argues that the counterintuitive opposite of the above is what should be expected. This surprising result is a consequence of a well known theorem on measure concentration due to I. Dvoretzky.

Bayesian Analysis of the Behrens-Fisher Problem under a Gamma Prior

Yin [1] has developed a new Bayesian measure of evidence for testing a point null hypothesis which agrees with the frequentist p-value thereby, solving Lindley’s paradox. Yin and Li [2] extended the methodology of Yin [1] to the case of the Behrens-Fisher problem by assigning Jeffreys’ independent prior to the nuisance parameters. In this paper, we were able to show both analytically and through the results from simulation studies that the methodology of Yin?[1] solves simultaneously, the Behrens-Fisher problem and Lindley’s paradox when a Gamma prior is assigned to the nuisance parameters.

Application of Dvoretzky’s Theorem of Measure Concentration in Physics and Cosmology

Using Dvoretzky’s theorem in conjunction with Bohm’s picture of a quantum particle inside a guiding quantum wave akin to De Broglie-Bohm pilot wave we derive Einstein’s famous formula E = mc2 as the sum of two parts E(O) = mc2/22 of the quantum particle and E(D) = m c2 (21/22) of the quantum wave where m is the mass, c is the speed of light and E is the energy. In addition we look at the problem of black holes information in the presence of extra dimensions where it seems initially that extra dimensions would logically lead to a hyper-surface for a black hole and consequently a reduction of the corresponding information density due to the dilution effect of these additional dimensions. The present paper argues that the counterintuitive opposite of the above is what should be expected. Again this surprising result is a consequence of the same well known theorem on measure concentration due to I. Dvoretzky. We conclude that there are only two real applications of the theorem and we expect that many more applications in physics and cosmology will be found in due course.

数据交易如何破局——数据要素市场中的阿罗信息悖论与法律应对

数据交易已经成为数据要素市场建设的难题,各地纷纷建立大数据交易所,但交易规模与额度非常低。数据交易面临阿罗信息悖论:交易需要披露信息,但披露信息即意味着数据价值的丧失。有观点认为,应通过数据产权保护消解阿罗信息悖论,避免相关的公地悲剧、"搭便车"与激励问题。但数据具有价值不确定、一定程度的非竞争性与非排他性,数据产权并不能解决阿罗信息悖论,也不会克服公地悲剧,反而可能造成公共资源私有化、溢出效应丧失等问题。数据交易与产品流通型交易不同,具有服务合作型特征。大数据交易应以婚姻介绍所为模型,成为撮合数据交易、提供安全认证的机构,而非以商场或证券交易所为模型。法律应设置大数据交易所的安全保障义务,积极利用知识产权、合同制度,同时审慎应用反不正当竞争制度保护数据交易。

艾诺信息悖论与创意产业的产权保护问题研究——构建我国创意产业保护的新模式

创意产业需要强有力的产权保护。创意通常可以通过知识产权予以保护,对于无法转化为知识产权或者暂时没有转化为知识产权的创意,可以采用合同保护的方式。地方政府和创意园区可以利用合同原理进行制度创新,弥补我国创意产业保护的不足。

网络化对知识产权出口的影响——基于阿罗信息悖论的分析

我国知识产权产销之间存在巨大反差,其中网络化对知识产权出口的影响值得关注。"阿罗信息悖论"揭示了知识市场上信息披露存在两难困境。据此建模分析发现网络化存在增加匹配概率、降低交易成本和改善信息不对称的正向效应与增大侵权可能的负向效应,知识产权保护则通过抑制后者发挥门槛效应。采用知识产权出口国别数据进行实证分析表明:出口国网络化程度的提高显著促进了知识产权出口,且在知识产权保护强度较高的出口国网络化的作用更佳。说明随知识产权保护的加强,网络化可以更好地改善阿罗信息悖论情境下的信息不对称问题。因此,提升网络化并与提升知识产权保护水平相结合不失为促进我国知识产权出口的重要对策。