Invariance & Symmetry Principles in Physics

Primes about the physical principles that constrain theories through invariance and consistency, including gauge and scale invariance, the correspondence and equivalence principles, dimensional analysis, Mach's relational view of inertia, and perturbation theory's small-correction expansions.

7 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its short description.

• Correspondence Principle — New theories match old limits.
• Dimensional Analysis — Ensures consistency in units.
• Equivalence Principle — Gravity indistinguishable from acceleration.
• Gauge Invariance / Gauge Symmetry — Equivalent representations.
• Mach's Principle — The thesis that a body's inertia is not intrinsic but arises from its relation to the total distribution of matter in the universe, making local inertial structure a consequence of global contents.
• Perturbation Theory — A technique for handling an intractable problem by splitting it into an exactly solvable baseline plus a small correction, then expanding the quantities of interest as a power series in that small parameter.
• Scale Invariance — Behavior unchanged under scaling.