In this hypothetical universe where the speed of light $ c $ is proportional to the local gravitational field strength $ g $, a laser pulse traveling toward a black hole would exhibit the following behavior:

### **Speed of Light**  
- As the pulse moves closer to the black hole, the gravitational field strength $ g $ increases. Since $ c \propto g $, the speed of light increases monotonically.  
- Near the black hole, $ c $ becomes extremely large, diverging as the pulse approaches the event horizon (assuming $ g $ diverges classically).  

### **Frequency and Wavelength**  
- **Frequency**: The frequency of the pulse **increases** (blueshifts) as it falls into the stronger gravitational field. This is analogous to gravitational blueshift in general relativity, where the photon gains energy from the gravitational field. However, here the blueshift is amplified by the increasing $ c $, as the relationship $ f = c / \lambda $ must hold.  
- **Wavelength**: The wavelength **decreases** because $ \lambda = c / f $. Even though $ c $ increases, the blueshift (increase in $ f $) dominates, leading to a shorter wavelength.  

### **Trajectory**  
- The pulse’s trajectory would **bend away** from the black hole. This is counterintuitive compared to general relativity, where light bends *toward* massive objects due to spacetime curvature. Here, the increasing $ c $ with depth into the gravitational well acts like a medium with a **decreasing refractive index** $ n = c_0 / c $, where $ c_0 $ is a reference speed.  
- By analogy to refraction, light bends **away from the normal** when entering a medium where its speed increases. Thus, the beam curves outward, resisting direct capture by the black hole unless aimed radially inward.  

### **Key Differences from General Relativity**  
- In our universe, light slows down (from an external observer’s perspective) near black holes due to time dilation, leading to gravitational lensing and eventual capture. Here, the opposite occurs: light speeds up, altering its trajectory and blueshift dynamics.  
- The event horizon concept might differ, as the speed of light diverges at the singularity, potentially altering the causal structure of spacetime.  

### **Summary**  
As the laser pulse approaches the black hole:  
1. **Speed**: Increases with proximity to the black hole.  
2. **Frequency**: Blueshifts (higher frequency).  
3. **Wavelength**: Contracts (shorter wavelength).  
4. **Trajectory**: Bends away from the black hole unless aimed directly inward, due to the gradient in $ c $.  

This scenario highlights how altering the speed of light’s dependence on gravity fundamentally changes light propagation, diverging from predictions in standard general relativity.