有限时空中的单粒子理论(理论概要)

One-particle Theory in Finite Space-Time

在量子力学里把单粒子态空间定义为Ｈｉｌｂｅｒｔ空间（Ｈ空间），由此导致理论本身不自洽。我们从有限时空的假设出发把量子力学重新表述为一个近似定域的理论，并将单粒子态空间重新定义为一个具有特殊维数性质的无限维内积空间，Ｓ空间。在近似定域的理论里消除了现有量子力学的混乱和不自洽性。

It has brought about self-contradictions of quantum mechanics to define the state space of one-particle as Hilbert space. In this paper quantum mechanics has been formulated as an approximately local theory on the basis of hypotheses of finite space-time. In the approximately local theory the state space of one-particle has been redefined as an infinite dimensional inner product space having unusual dimensionality properties, and the self-contradictions has been removed.