光滑拓扑中的量子物理模型
A Physical Quantum Model in a Smooth Topos
摘要：
我们加强的情况下，拓扑理论提供的新的逻辑视角是适合于描述我们周围的物理世界的任务。在探索一个简单的量子力学系统在一个不同于集合论所代表的数学宇宙中的构造的某些方面时，我们表明，需要更多的思考和更好地理解进入物理世界的任何数学模型的假设。我们反映了这种更广泛的物理学视角的一些数学后果，解释概率值和数值计算的一种解释，在两个数学宇宙中受限制较少的直觉逻辑，并支持合成微分几何理论。
英文摘要：
We strengthen the case that the new logical perspective afforded by topos theory is suitable to the task of describing the physical world around us. In exploring some of the aspects of construction of a simple quantum-mechanical system in a mathematical universe different from that represented by set theory, we show that more thought and a better appreciation of the assumptions going into any mathematical model of the physical world are needed. We reflect on some of the mathematical consequences of this wider perspective of physics, explaining one interpretation of probabilistic values and numerical calculations in two mathematical universes governed by the less restrictive intuitionistic logic, and known to support the theory of synthetic differential geometry.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
