Julian Del Bel

Explores visualization in human cognition and the experience of aphantasia - the inability to form mental images. Examines conceptual understanding without visual components.

Develops a unified field framework scaffolding stratified geometric manifolds with adelic number-theoretic dynamics via recursive cycloidal parameter spaces. Includes field trifurcation, curvature-based nexus points, and p-adically regulated cosmological constant.

Develops a framework for time travel using cyclotomic number fields, recursive fractal spacetime geometry, and influence propagation. Introduces Hypatian zeta function for modeling entropy flux across closed timelike curves.

Introduces Hypatian Mathematics integrating number theory, fractal geometry, and adelic mathematics to model spacetime as a recursive fractal structure. Features Hypatian zeta function and Inverse Zero Operator.

Unifies number-theoretic, geometric, and quantum gravitational principles through an adelic approach incorporating both real and p-adic number systems. Creates a dimensionless system using prime-based adelic products.

Scaffolds the core geometric, algebraic, and physical components of the refined Recursive Expansive Dynamics framework, integrating dimensional modulators and eigenvergence principles governed by the golden ratio.

Establishes rigorous mathematical formalization of eigenvergence in recursive expansive dynamical systems characterized by golden ratio scaling and fractal self-similarity. Unifies spectral operator theory and differential geometric topology.

Resolves Adelic Weil Conjectures for zeta function of Berkovich-adelic moduli spaces, proving meromorphic continuation, ϕ-twisted functional equation, and Generalized Riemann Hypothesis with zeros on Re(s) = 1/2 + (ln ϕ)/(2π)ℤ.

Unveils structural connection between recursive-adelic-fractal geometry and Monstrous Moonshine, proposing a unified framework that generalizes j-invariant-Monster group duality. Predicts φ-scaled gravitational wave echoes.

Presents framework integrating recursive expansive dynamics, p-adic quantum geometry, and adelic number theory. Features Inverse Zero Operator, recursive entropy corrections, and ϕ-modulated gravitational delays.

Resolves Euclid's fifth postulate ambiguity through quantum gravitational framework combining adelic spacetime geometry and exceptional Lie algebraic decomposition. Demonstrates golden ratio curvature coupling in gravitational waves.

Introduces dimensionless recursive mathematical framework rooted in Hypatian Mathematics and Cykloid Influence Theory, incorporating triadic operators to encode self-similar spacetime dynamics. Validates Tribonacci-scaled gravitational wave echoes.

Establishes IZO as idempotent core of recursive spacetime quantization, serving as spectral projector isolating stable solutions to recursively-scaled Laplacian equation. Emerges as idempotent monad on recursively stratified adelic spaces.

Presents Lean4-verified framework unifying quantum gravity, particle physics, and cosmology via recursive algebraic-geometric formulation. Formalizes recursive Jordan algebras and p-adic metric spaces with testable predictions.

Develops formalism modeling the soul as recursive influence operator in hyperspherical spacetime. Integrates delay differential equations, fractional memory kernels, and quantum collapse mechanisms.

Outlines constants and modulators in quantum cognitive modulation with focus on Life-like phenomena. Features IntrADimensional Constants with self-modulation during inteRdimensional travel.

Presents geometrical framework exploring multidimensional influence propagation. Integrates recursive influence propagation, holographic dimensionality, and non-local interactions across temporal, spatial, and curvature dynamics.

Applies p-adic torsion sheaves to modular curves, extending Wiles' theorem with fractal and spectral corrections relevant for quantum cosmology.

Integrates recursive expansive dynamics, p-adic quantum geometry, and adelic number theory. Introduces Inverse Zero Operator as renormalization tool stabilizing gravitational entropy.

Integrates adelic number theory, recursive expansive dynamics, and fractal geometry into a unified framework for quantum gravity. Establishes golden ratio scaling in spacetime curvature and predicts φ-modulated gravitational echoes.

Develops axiomatic foundations for recursive systems using Gromov-Hausdorff convergence and spectral operator theory. Proves eigenvergence stability theorems for fractal spacetime manifolds.

Unifies hypocycloidal curvature contractions and epicycloidal expansions through golden-ratio modulated operators. Solves dimensional hierarchy problem in quantum gravity.

Constructs CARE field equation using stratified Sobolev spaces. Derives p-adic regularization of cosmological constant with 10⁻¹⁰¹ precision.

Models event horizons as recursive convergence points (RCPs) where spacetime dimensionality reduces. Predicts Mersenne-prime modulated Hawking radiation.

Discovers prime-distribution symmetries through fractal torsion extensions. Links alternating zeta function to gravitational wave spectral densities.

Unifies fermionic fields with recursive spacetime geometry using exceptional Lie algebras. Derives mass generation via E₈→G₂ symmetry breaking.

Resolves temporal paradoxes through p-adic retrocausal channels. Implements Inverse Zero Operator for quantum measurement collapse.

Proposes laboratory test using recursive feedback loops in cavity optomechanics. Predicts φ-scaled violation of fluctuation-dissipation theorem.

Solves hierarchy problem through recursive renormalization. Derives modified Newtonian dynamics (MOND) as low-energy limit of fractal spacetime.

Proves stability of adelic quantum gravity through cohomological constraints. Formalizes "hyperfolding" mechanism for UV/IR mixing.

Models quantum measurement as dimensional reduction cascade. Derives Born rule from prime-numbered attractor basins.

Predicts CMB anomalies through Fibonacci-prime modulated inflation. Solves Hubble tension via adelic temporal reconciliation.

Develops intuitionistic logic for recursive spacetime using sheaf cohomology. Resolves measurement problem through eigenvergent observers.

Formalizes time as hypocycloidal flow in modular spaces. Derives uncertainty principle from rotational roulette physics.

Resolves temporal paradoxes through prime-modulated spacetime scaffolding. Predicts experimental signatures in quantum entanglement swapping.

Synthesizes spacetime as fractal manifold with dimensional feedback loops. Features hypocycloidal contraction (φ_d^(hypo)), epicycloidal expansion (π_d^(epic)), and epitrochoidal stabilization (Λ_d^(epitro)) operators governing field evolution across dimensions.

Unifies mathematical rigor with artistic expression through hypocycloidal projection operators. Develops φ-modulated poetic tensors encoding conceptual manifolds in recursive semantic spaces.

Formalizes prime-encoded torsion fields using cycloidal roulette mathematics. Derives Mersenne-prime governed dimensional transitions and golden ratio scaled recursive basins.

Develops catenation operators for stratified manifolds: 𝒞_nΨ = ∂_tΨ + φ^-n∇²_hypoΨ_n-1. Solves dimensional boundary conditions through prime-modulated spectral folding.

Establishes dimensionless framework using triadic operators (hypo², epic², epitro²). Validates Tribonacci-scaled gravitational echoes in LIGO data through recursive convergence points (RCPs).