Abstract
In causal set theory, there are three ambiguous concepts that this article tries to provide a solution to resolve these ambiguities. These three ambiguities in Planck's scale are: the causal relationship between events, the position of the uncertainty principle, and the kinematic. Assuming the interaction between events, a new definition of the causal relationship is presented. Using the principle of superposition, more than one world line are attributed to two events that are interacting with each other to cover the uncertainty principle. Using these achievements, it is shown that kinematics has no place in the Planck dimension and that quantum spacetime manifold should be used instead.
Highlights
Scientists are pursuing three main areas of researches to achieve the theory of quantum gravity
We are searching a unified theory between gravity and quantum for solving the above three mentioned main problems, at least, it seems that developing the dynamic of a causal set theory based on a kinematic causal set cannot help us much in this direction for studying some related classical problems at continuum level, it may help us
We need a dynamical causal set at beginning. It means that a causal set should be raised from a quantum manifold
Summary
Scientists are pursuing three main areas of researches to achieve the theory of quantum gravity. Diel [14] has assumed that the elementary structure of spacetime is a derivative of causal dynamical triangulation and, at the elementary level, space consists of a (discrete) number of interconnected space points, each of which is connected to a small number of neighbouring space points. He has shown that emergence and propagation of quantum fields (including particles) are mapped to the emergence and propagation of space changes by utilizing identical paths of in/out space point connections [14]. It is well known that in Einstein’s theory of general relativity, events are placed on the system world line, and Schrodinger’s timedependent equation emphasizes the existence of a causal relationship between
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