It's difficult to pinpoint just one major analytical tool of physics, as the field relies on a wide range of methods and techniques. However, if we had to pick one that is truly fundamental and pervasive, it would be mathematics.

Here's why:

* Mathematical models: Physics relies heavily on mathematical models to describe and predict physical phenomena. These models take the form of equations, which can be used to calculate quantities, make predictions, and understand the underlying principles governing the universe.

* Precise language: Mathematics provides a precise and unambiguous language for describing physical concepts and relationships. This allows physicists to communicate their ideas clearly and avoid ambiguity.

* Quantitative analysis: Physics is fundamentally a quantitative science, meaning it deals with measurements and calculations. Mathematics provides the tools for performing these analyses.

However, it's important to acknowledge that other crucial tools exist alongside mathematics:

* Experiments: Physics is an experimental science, and experiments play a critical role in testing theoretical predictions and refining our understanding of the universe.

* Computer simulations: In many areas of physics, complex systems are too difficult to analyze analytically. Computer simulations allow physicists to model these systems and gain insights into their behavior.

* Logical reasoning and deduction: Physicists use logical reasoning and deduction to develop theories, interpret experimental results, and draw conclusions.

While mathematics is a cornerstone of physics, it's only one piece of the puzzle. The field is a dynamic interplay of various analytical tools and techniques, each contributing to our understanding of the natural world.