The idealized quantum two-slit gedanken experiment revisited—Criticism and reinterpretation

The Emergence of Spacetime from the Quantum in Three Steps

“…Again this may be seen as a fractal world sheet [3]- [10]. It is remarkable how the intersection as well as the union of the fractal strings and the fractal world sheet span the E-infinity Cantorian space modelling quantum spacetime because [43] [57] ( ) ( ) Consequently we conclude from the above that there is an intrinsic indistinguishability latent in our Cantorian manifold modelling quantum spacetime with regard to the operations of union and intersection, which explains the superficially paradoxical outcome of the two-slit experiment with quantum particles [71]. In fact we can reason that time is a fractal phenomena of our "space-time" manifold.…”

Fuzzy inner product spaces and fuzzy orthogonality

“…This notion has been modified in [1] and [23]. Induced norms of these spaces are important because they have many applications in quantum particle physics specially in connections with string and Einfinity theories; see [5], [6], [7] and [8]. Also, Su et al [21] introduced the concept of a probabilistic Hilbert space in a special case.…”

Fixed Point Theorem for Occasionally Weakly Compatible Mappings in Modified Intuitionistic Fuzzy Metric Space

“…Intuitionistic fuzzy metric notion is also useful in modeling some physical problems wherein it is necessary to study the relationship between two probability functions as noticed by Gregori et al [13]. For instance, it has a concrete physical visualization in the context of two slit experiment as the foundation of ‫ܧ‬ −infinity theory of high energy physics whose details are available in El Naschie in [7,8,9]. As noticed by Gregori et al [13], the topology induced by intuitionistic fuzzy metric coincides with the topology induced by fuzzy metric, Saadati et al [20] reframed the idea of intuitionistic fuzzy metric spaces and proposed a new notion under the name of modified intuitionistic fuzzy metric spaces by introducing the of continuous ‫ݐ‬ −representable.…”