Maksym Koresh

Model of Cosmic Equilibrium

This work introduces a parametric hypothesis of structural coupling of an object with field geometry — the dimensionless index Gp. The formula is not derived from the equations of Newton, Coulomb or Einstein, but ispostulated as a working combination consistent with the hierarchy...

Topological Baryogenesis and Axion Synchronization: A Unified Framework from Quantum Geometry

A framework is proposed for cosmological baryogenesis driven by non-perturbative topological fluctuations (quantum surgery of 1-handles) in the early Universe at the Planck epoch. Relying on the Ashtekar-Lewandowski measure and quantum geometry foam dynamics, it is shown that the...

A Global Quasi-Symplectic Projection Method for the Spatial N-Body Problem: Explicit Preservation of Poincaré–Noether Invariants with O(N) Complexity

Long-term numerical integration of the spatial N-body problem suffers from systematic unphysical drift of the fundamental integrals of motion: total energy E_tot, linear momentum P_tot, and angular momentum L_tot. Standard high-order explicit integrators (e.g., classical 4th-orde...

A Global Quasi-Symplectic Projection Method for the Spatial N-Body Problem: Explicit Preservation of Poincaré–Noether Invariants with O(N) Complexity

Long-term numerical integration of the spatial N-body problem suffers from systematic unphysical drift of the fundamental integrals of motion: total energy E_tot, linear momentum P_tot, and angular momentum L_tot. Standard high-order explicit integrators (e.g., classical 4th-orde...

Quantum Geometro-Topodynamics: Unitary Topology Transitions, Black Hole Evaporation, and Axionic CMB Birefringence

We present a self-consistent framework of Quantum Geometro-Topodynamics that addresses the unitarity of spatial topology change, the black-hole information paradox, and the gravitational CP problem. By formulating the Wheeler-DeWitt evolution in a stratified Hilbert space equippe...

NSN STANDARD: Mathematical Model of Neuronal Stability and Protocol of Resonant Reversal of Neurodegeneration

This work presents a fundamental dynamical systems model of neurodegeneration based on the concept of the Neuro Stability Number (NSN) — a dimensionless dynamic coefficient of neuronal homeostatic stability. Departing from the static amyloid-centric paradigm, we treat the neuron...

NSN STANDARD: Mathematical Model of Neuronal Stability and Protocol of Resonant Reversal of Neurodegeneration

This work presents a fundamental dynamical systems model of neurodegeneration based on the concept of the Neuro Stability Number (NSN) — a dimensionless dynamic coefficient of neuronal homeostatic stability. Departing from the static amyloid-centric paradigm, we treat the neuron...

A Global Quasi-Symplectic Projection Method for the Spatial N-Body Problem: Explicit Preservation of Poincaré–Noether Invariants with O(N) Complexity

Long-term numerical integration of the spatial N-body problem suffers from systematic unphysical drift of the fundamental integrals of motion: total energy Etot, linear momentum Ptot and angular momentum Ltot. Standard high-order explicit integrators (e.g., classical 4th-order Ru...