Introduction:
In the story "The Woman on Platform Number 8" by Ruskin Bond, the narrator encounters a woman at House Number 46 who keeps staring at him in silence. This behavior can be attributed to the fact that the woman does not remember the narrator.

Explanation:
The woman at House Number 46 keeps staring at the narrator because she does not remember him. This can be inferred from the following clues in the story:

1. Lack of Recognition: When the narrator first sees the woman, he mentions that she looks at him in silence, with a puzzled expression on her face. This indicates that she does not recognize him and is trying to remember who he is.

2. Questioning the Narrator: The woman finally breaks her silence and asks the narrator if he knows her. This further emphasizes her lack of recognition and her attempt to recall any connection or familiarity with him.

3. Her Age and Memory Loss: It is mentioned in the story that the woman is old and frail. This suggests that she may be suffering from memory loss or dementia, which explains her inability to remember the narrator.

4. Connection to the Past: The narrator later reveals that he used to live in the same town many years ago. Since the woman is a resident of the town, it is possible that they may have crossed paths in the past, but her memory loss prevents her from recalling their previous encounters.

5. Emotional Expression: The woman's puzzled expression and her attempt to remember the narrator indicate that she may feel frustrated or distressed by her memory loss. This is a common reaction among individuals who struggle with forgetting familiar faces or events.

Conclusion:
The woman at House Number 46 keeps staring at the narrator in silence because she does not remember him. Her lack of recognition, questioning, age, and the possibility of memory loss all contribute to her puzzlement and inability to recall any connection with the narrator. This encounter highlights the challenges faced by individuals dealing with memory loss and the impact it can have on their interactions with others.