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```python
# AI Dev Tool: PostgreSQL Vector Search Extension with FastAPI and Bun
# =====================================================================

from fastapi import FastAPI, HTTPException
from fastapi.responses import JSONResponse
from fastapi.requests import Request
from pydantic import BaseModel
from typing import List, Optional
import psycopg2
import numpy as np
from psycopg2 import Error
from psycopg2.extras import DictCursor
import logging

# Initialize the FastAPI app
app = FastAPI()

# Define the PostgreSQL connection parameters
POSTGRES_HOST = "localhost"
POSTGRES_DB = "vector_search"
POSTGRES_USER = "postgres"
POSTGRES_PASSWORD = "password"

# Define the Bun configuration
BUN_HOST = "http://localhost:3000"

# Define the logger
logging.basicConfig(level=logging.INFO)
logger = logging.getLogger(__name__)

# Define the VectorSearchRequest model
class VectorSearchRequest(BaseModel):
    """Vector search request model"""
    query: str
    limit: Optional[int] = 10

# Define the VectorSearchResponse model
class VectorSearchResponse(BaseModel):
    """Vector search response model"""
    results: List[dict]

# Create a PostgreSQL connection
def create_connection():
    """Create a PostgreSQL connection"""

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