Caner Sakar

An Analyticity Obstruction to Deep MOND in Regular Equilibrium Media: Implications for Yang–Mills Dipolar Dark Matter

The deep-MOND constitutive relation is unusual from the viewpoint of an ordinary equilibrium medium. We show that any local, rotationally invariant response that is analytic in the gravitational field near zero acceleration has the form D(g) = g [χ₀ + χ₂|g|² + χ₄|g|⁴ + …] Consequ...

An Analyticity Obstruction to Deep MOND in Regular Equilibrium Media: Implications for Yang–Mills Dipolar Dark Matter

The deep-MOND constitutive relation is unusual from the viewpoint of an ordinary equilibrium medium. We show that any local, rotationally invariant response that is analytic in the gravitational field near zero acceleration has the form D(g) = g [χ₀ + χ₂|g|² + χ₄|g|⁴ + …] Consequ...

Prediction-Horizon Transport of Adam's Optimal Momentum State

Adam's future behavior depends not only on the model parameters but also on its hidden first-moment state. This work develops a prediction-horizon transport theory for Adam's finite-horizon optimal momentum state under frozen local quadratic dynamics in a prescribed correction su...

Prediction-Horizon Transport of Adam's Optimal Momentum State

Adam's future behavior depends not only on the model parameters but also on its hidden first-moment state. This work develops a prediction-horizon transport theory for Adam's finite-horizon optimal momentum state under frozen local quadratic dynamics in a prescribed correction su...

The Optimal Momentum State of Adam under Frozen Local Dynamics

Momentum gives Adam memory: its future is determined not only by the model parameters, but also by the first- and second-moment states inherited from earlier gradients. We ask a conditional question: with the current parameters and adaptive metric fixed, what first-moment state s...

The Optimal Momentum State of Adam under Frozen Local Dynamics

Momentum gives Adam memory: its future is determined not only by the model parameters, but also by the first- and second-moment states inherited from earlier gradients. We ask a conditional question: with the current parameters and adaptive metric fixed, what first-moment state s...

The Optimal Momentum State of Adam under Frozen Local Dynamics

Momentum gives Adam memory: its future is determined not only by the model parameters, but also by the first- and second-moment states inherited from earlier gradients. We ask a conditional question: with the current parameters and adaptive metric fixed, what first-moment state s...