In Apache Flink, Stream Processing allows for processing large volumes of data in a fault-tolerant and low-latency manner. Flink's stream processing capabilities enable real-time data processing by dividing data into continuous streams and processing them incrementally. This approach ensures fast processing with low latency and fault tolerance, making it suitable for various real-time analytics and event-driven applications.

Data Wrangling is the process of cleaning, structuring, and enriching raw data to make it suitable for analysis. It involves tasks such as cleaning inconsistent data, handling missing values, and transforming data into a format usable for analysis.

Data Integration is the process of combining data from various sources into a unified view, ensuring consistency and coherence in Dimensional Modeling. This step is crucial for building a comprehensive data model.

Establishing and maintaining data lineage in metadata management poses various challenges. One challenge is handling complex data flows, where data may traverse multiple systems, undergo various transformations, and be subject to different interpretations. Another challenge involves tracking data transformations accurately throughout the data lifecycle, which requires robust mechanisms to capture and document changes. Ensuring data consistency across different sources and formats is also a significant challenge, as inconsistencies can lead to inaccurate lineage information and hinder data governance efforts. Managing metadata storage efficiently is crucial for storing lineage information effectively while ensuring accessibility and scalability.

The CAP theorem, also known as Brewer's theorem, defines three properties: Consistency, Availability, and Partition tolerance. It states that in a distributed system, it's impossible to simultaneously guarantee all three properties; you can only choose two. This theorem has profound implications for database design and scalability. For example, choosing consistency and availability sacrifices partition tolerance, impacting scalability, while prioritizing availability and partition tolerance may lead to eventual consistency models. Understanding these trade-offs is crucial for designing scalable and resilient distributed databases.

Incremental loading refers to the process of loading data in small increments periodically, typically to update existing datasets with new or modified data without having to reload the entire dataset.

In real-time data processing, the process of data streaming involves analyzing continuous streams of data to detect patterns, trends, or anomalies as data flows in real-time. This process is crucial for applications requiring immediate insights or actions based on incoming data, such as fraud detection, sensor monitoring, or real-time analytics.

Kafka is a distributed messaging system that enables real-time data processing in the Hadoop ecosystem. It allows for the publishing, subscribing, and processing of streams of records in real-time.

Normalization reduces data redundancy by organizing data into separate tables and linking them through relationships, which minimizes duplication and ensures each piece of information is stored only once.

Anomaly detection plays a vital role in monitoring data pipelines by identifying abnormal patterns or deviations from expected behavior. By analyzing metrics such as data latency, throughput, and error rates, anomaly detection algorithms can detect unusual spikes, drops, or inconsistencies in data flow, signaling potential issues or anomalies requiring investigation and remediation to maintain pipeline reliability and performance.