7 citations · 38 across the 48 of their papers we have counts for
50 papers
Discreteness as ontology: A hodon-based approach to dark matter
Arkady Bolotin
This work proposes a geometric-statistical reinterpretation of the dark sector, grounded in a discrete spacetime framework composed of non-material spatial units termed hodons. Unl…
Finite geometry and black hole stability: Embedding discrete space into classical manifolds
Arkady Bolotin
The issue of defining the volume of black holes has significant implications for quantum gravity. Drawing on concepts from quantum theory and general relativity, several motivation…
The holographic principle comes from finiteness of the universe's geometry
Arkady Bolotin
Discovered as an apparent pattern, a universal relation between geometry and information called the holographic principle has yet to be explained. This relation is unfolded in the…
A geometry of space that satisfies the holographic principle
Arkady Bolotin
Conventional wisdom holds that any region of 3-space contains infinitely many points, and the Planck length scale determines the uncertainty in every measurement of distance betwee…
Resolving the trans-Planckian problem along the lines of a finite geometry
Arkady Bolotin
In black hole physics, inflationary cosmology, and quantum field theories, it is conjectured that the physical laws are subject to radical changes below the Planck length. Such cha…
Physics in a finite geometry
Arkady Bolotin
The stipulation that no measurable quantity could have an infinite value is indispensable in physics. At the same time, in mathematics, the possibility of considering an infinite p…