Quadro-quartic Cremona transformations and four-dimensional pencil-space-times with the reverse signature.
From MaRDI portal
Publication:1401039
DOI10.1016/S0960-0779(01)00054-6zbMath1033.53020MaRDI QIDQ1401039
Publication date: 17 August 2003
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Birational automorphisms, Cremona group and generalizations (14E07) Projective differential geometry (53A20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items
On an intriguing signature-reversal exhibited by Cremonian space--times ⋮ On Cremonian dimensions qualitatively different from time and space ⋮ Cremonian space-time(s) as an emergent phenomenon ⋮ On an observer-related unequivalence between spatial dimensions of a generic Cremonian universe
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time symmetry breaking, duality and Cantorian space-time.
- A class of partially ordered sets.
- Branching polymers, knot theory and Cantorian spacetime
- Hyperdimensional geometry and the nature of physical spacetime
- Introduction to superstrings and M-theory.
- On `spatially anisotropic' pencil-space-times associated with a quadro-cubic Cremona transformation
- Coupled oscillations and mode locking of quantum gravity fields, scale relativity and \({\mathcal E}^{(\infty)}\) space
- Is quantum space-time infinite dimensional
- Fractal space signatures in quantum physics and cosmology. I: Space, time, matter, fields and gravitation
- Hints of a new relativity principle from \(p\)-brane quantum mechanics
- Jones' invariant, Cantorian geometry and quantum spacetime.
- Cremona transformations and the conundrum of dimensionality and signature of macro-spacetime
- Special issue: Nonlinear dynamics, general relativity and the quantum (the uneven flow of fractal time)
- COBE satellite measurement, hyperspheres, superstrings and the dimension of spacetime.
- The average \((n)\) sphere spans a four-dimensional manifold.
- The fractal dimension of spacetime. -- Remarks on theoretical derivation and experimental verification.
- The reality and dimension of space and the complexity of quantum mechanics
- Twenty-seven lines on a cubic surface and heterotic string space-times
- Remarks on superstrings, fractal gravity, Nagasawa's diffusion and Cantorian spacetime
- Fractal gravity and symmetry breaking in a hierachical Cantorian space
- DIMENSION OF SPACE-TIME
- On the unification of heterotic strings, M theory and \({\mathcal E}^{(\infty)}\) theory
- Scale relativity in Cantorian \(\mathcal E^{(\infty)}\) space and average dimensions of our world
