Is quantum space a random Cantor set with a golden mean dimension at the core?
From MaRDI portal
Publication:1322125
DOI10.1016/0960-0779(94)90141-4zbMath0791.58085OpenAlexW2137355706MaRDI QIDQ1322125
Publication date: 14 July 1994
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0960-0779(94)90141-4
General relativity (83C99) Applications of dynamical systems (37N99) Applications of quantum theory to specific physical systems (81V99) Hausdorff and packing measures (28A78)
Related Items (24)
Young double-slit experiment, Heisenberg uncertainty principle and Cantorian space-time ⋮ Silver mean Hausdorff dimension and Cantor sets ⋮ On the \(m\)-extension of the Fibonacci and Lucas \(p\)-numbers ⋮ The generalized Pell \((p, i)\)-numbers and their Binet formulas, combinatorial representations, sums ⋮ On the Fibonacci and Lucas \(p\)-numbers, their sums, families of bipartite graphs and permanents of certain matrices ⋮ On generalized Fibonacci and Lucas polynomials ⋮ On the order-\(m\) generalized Fibonacci \(k\)-numbers ⋮ Banach-Tarski theorem and Cantorian micro space-time ⋮ A strange novel chaotic system with fully golden proportion equilibria and its mobile microcomputer-based RNG application ⋮ Fractal gravity and symmetry breaking in a hierachical Cantorian space ⋮ The ``golden matrices and a new kind of cryptography ⋮ The ``golden hyperbolic models of Universe ⋮ The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic ⋮ The generalized principle of the Golden Section and its applications in mathematics, science, and engineering ⋮ The Golden Shofar ⋮ Bivariate Fibonacci like \(p\)-polynomials ⋮ On a new class of hyperbolic functions ⋮ The continuous functions for the Fibonacci and Lucas \(p\)-numbers ⋮ Dimensional symmetry breaking and gravity in Cantorian space ⋮ Fundamentals of a new kind of mathematics based on the golden section ⋮ Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers ⋮ The ``golden algebraic equations ⋮ On numbers, probability and dimensions. ⋮ Links between physics and set theory.
Cites Work
- Quantum mechanics and the possibility of a Cantorian space-time
- On dimensions of Cantor set related systems
- The mean uncertainty and distance dimension of multidimensional Cantorian spaces
- Intra-observer chaos: Hidden root of quantum mechanics?
- Statistical mechanics of multi-dimensional Cantor sets, Gödel theorem and quantum spacetime
- Random Recursive Constructions: Asymptotic Geometric and Topological Properties
This page was built for publication: Is quantum space a random Cantor set with a golden mean dimension at the core?
