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```python
# AI Dev Tool: Real-Time Vector Search API
# =======================================
# This is a production-ready API integration wrapper for PostgreSQL Vector Search Extension
# It provides a simple and efficient way to perform real-time vector searches
# using the Build Wide, Ship Narrow approach and Rust WebAssembly Edge Function

import os
import json
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 psycopg2.extras
from psycopg2 import Error

# Define the PostgreSQL connection parameters
POSTGRES_HOST = os.environ.get('POSTGRES_HOST', 'localhost')
POSTGRES_DB = os.environ.get('POSTGRES_DB', 'mydb')
POSTGRES_USER = os.environ.get('POSTGRES_USER', 'myuser')
POSTGRES_PASSWORD = os.environ.get('POSTGRES_PASSWORD', 'mypassword')

# Define the Vector Search API endpoint
app = FastAPI()

# Define the request and response models for the Vector Search API
class VectorSearchRequest(BaseModel):
    """Request model for the Vector Search API"""
    query: str
    limit: Optional[int] = 10

class VectorSearchResponse

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