Black holes and topological vortices in a discrete spacetime lattice.
This is not an animation.

I created a simulation where particle stability is maintained by internal field tension rather than hard coded rules. I didn't program any velocity increase the geometry itself is generating the motion.

#Topology
#Gravity
#blackholes
#nonlineardynamics
#Superfluid #Physics
#Simulation
#QuantumPhysics
#computationalphysics
#emergence

Black holes and topological vortices in a discrete spacetime lattice.
This is not an animation.

#Topology
#Gravity
#blackholes
#nonlineardynamics
#Superfluid #Physics
#Simulation
#QuantumPhysics
#computationalphysics
#Emergence

This month, CTCS (IIT Madras) & @PIK_climate present a webinar
📢: On the absence of the ultimate regime in turbulent thermal convection
🎙️: Prof. Mahendra Verma, IIT Kanpur
📅: May 25 |⏰19:30 IST | 16:00 CEST | 10:00 EDT
🔗: https://us06web.zoom.us/webinar/register/WN_K4F5k9O4QmuZbt5uZNj9Qw

#ComplexSystems #webinarinvite #Zoomcodes #IITMadras #IITK #PIK #Nonlineardynamics #Turbulence #BoundaryLayer #FluidDynamics #Bifurcations #FluidMechanics #HeatTransfer #Convection #Scaling

A useful reminder in fluid mechanics: maximizing velocity is not the same as maximizing momentum or energy transfer. This paper explores how global mass balance constrains synthetic jet actuator performance.

🔗 https://doi.org/10.1063/5.0326035

#FluidDynamics #Physics #FlowControl #SyntheticJets #NonlinearDynamics

Mass-balance constraints on mass, momentum, and energy injected by synthetic jet actuators

Synthetic jet actuators are often optimized implicitly by maximizing jet velocity, despite practical forcing objectives depending on injected mass, momentum, or

AIP Publishing

New publication from the Atlas–Rosetta / HybridMind42 programme:

Paper 4 — Boundary Evolution and the Mechanics of Threshold Failure

This paper studies the measurable “Pre-Collapse Regime” that often exists before catastrophic failure:

precursor leakage,
substrate exhaustion,
geometric acceleration,
nonlinear transition dynamics,
and threshold collapse.

Physical anchors:
• Rn-220 vs Rn-222 transport asymmetry
• mitochondrial ROS precursor leakage
• boundary-conditioned admissibility filtering

The framework now moves from: “what persistence is” to: “how persistence fails.”

The “Slow Sink” is no longer metaphorical — it is formalized as a forensic dynamical regime. 🌿☕🏛️

https://substack.com/profile/432224148-hybridmind42/note/c-256905411?r=75c2ac

https://open.substack.com/pub/hybridmind42/p/boundary-evolution-and-the-mechanics?utm_source=share&utm_medium=android&r=75c2ac

#BoundaryDynamics #ComplexSystems #FailureMechanics #NonlinearDynamics #SystemsScience #Topology #Biophysics #HybridMind42

Hybridmind42 (@hybridmind42)

Phase 5 — Paper 4 is now published. This paper marks an important transition in the Atlas–Rosetta / BFPF programme. Earlier papers established: persistence, admissibility, transport, and latency. Paper 4 studies something harder: how persistent systems actually fail. The focus is not catastrophic collapse itself, but the measurable interval before collapse: precursor leakage, maintenance exhaustion, geometric evolution, nonlinear acceleration, and threshold transition. The framework proposes that many systems do not fail instantly. They enter a detectable Pre-Collapse Regime in which internal admissibility filtering is already degrading while external persistence still appears stable. The paper integrates: radon transport asymmetry, mitochondrial precursor leakage, geometric transport acceleration, and constrained Casimir admissibility precedents into a unified forensic framework for collapse dynamics. This is probably the most mechanistic and falsifiable paper in the Phase 5 series so far. The “Slow Sink” is now formally documented. 🌿☕🏛️ #BoundaryDynamics #FailureMechanics #ComplexSystems #Persistence #NonlinearDynamics #SystemsTheory #Topology #TransportTheory #GeometricEvolution #HybridMind42 https://substack.com/@hybridmind42/note/p-197141763?r=75c2ac

Substack
This abstract piece visualizes the Aizawa attractor, a chaotic differential equation system from theoretical physics. Unlike the famous Lorenz attractor (butterfly), Aizawa generates fractal, flower-like structures under specific parameters.

Technical: 80,000 time steps, 3D phase space projection, custom colormapping along trajectories. Generative Art meets Chaos Theory, no AI, just ODEs and Python.

#generativeart #chaostheory #differentialequations #abstractart #aizawa #mathart #creativecoding #pythonart #fractalbloom #nonlineardynamics #scipy #matplotlib

This month, CTCS (IIT Madras) & @PIK_climate present a webinar:
📢: Controlling populations of neural oscillators
🎙️: Prof. Jeff Moehlis, University of California, Santa Barbara
📅: April 20 | ⏰ 20:30 IST | 17:00 CEST | 08:00 PDT | 11:00 EDT
🔗: https://us06web.zoom.us/webinar/register/WN_XJj7GZg0QGeiIMDBSTPjrg

#ComplexSystems #phd #webinarinvite #Zoomcodes #ComplexNetworks #IITMadras #UCSB #PIK #Nonlineardynamics #NeuralNetworks #Chaos #Bifurcations #Synchronization #NeurologicalDisorder

CRTI = R̂ / Φ couples recovery dynamics with covariance geometry … and detects fold-type transitions earlier while correctly failing outside its domain. Preprint (open access): doi.org/10.5281/zeno... 🖖 #CRTI #ComplexSystems #EarlyWarningSignals #NonlinearDynamics #EWS #SystemsScience 🖖

Compression–Response Transitio...
Compression–Response Transition Index (CRTI): A Mechanism-Specific Early Warning Signal for Fold-Type Critical Transitions

This preprint introduces the Compression–Response Transition Index (CRTI), a bivariate early warning signal designed for detecting fold-type critical transitions in multivariate dynamical systems. The index is defined as T = R̂ / Φ, coupling a recovery-rate proxy derived from the autocorrelation structure (R̂) with a spectral concentration measure Φ = λ₁ / \sum_i λ_i, representing the dominance of the leading covariance mode.   Unlike classical early warning indicators based on variance or autocorrelation alone, CRTI explicitly integrates structural and dynamical information and is equipped with a validity gate via the Structural–Dynamic Separability (SDS) condition. The framework is mechanism-specific, with explicit boundary conditions covering Hopf bifurcations, noise-induced transitions, projection-induced distortion, and reflexive systems.   Simulation results demonstrate that CRTI provides earlier and more robust detection of fold bifurcations compared to AR(1) and variance-based indicators, while correctly failing outside its domain of validity. An empirical evaluation on the Peter Lake ecosystem dataset, based on a pre-registered protocol, supports the theoretical predictions.   CRTI is presented as a diagnostic instrument with explicitly defined scope, not as a universal early warning signal.     CRTI, early warning signals, critical transitions, fold bifurcation, multivariate time series, covariance structure, autocorrelation, spectral concentration, complex systems, nonlinear dynamics

Zenodo

Our study showing that the spatial organization of deep convective clouds in the tropics changes with the observed time frame; got published in the International Journal of Climatology.
https://doi.org/10.1002/joc.70363

#Climate #cloud #NonlinearDynamics #phd #ComplexNetworks #RMetS #complexsystems #publication #tropics #communitydetection #atmosphere