Symmetry & Conservation in Physics

Primes from the symmetry-conservation core of theoretical physics: paired and invariant quantities (conjugate variables, degrees of freedom, gauge invariance), the link between symmetry and conserved quantities (Noether's theorem, conservation laws), and the state-space and variational formalisms that organize dynamics (phase space, principle of least action, symmetry breaking).

8 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.

• Conjugate Variables — Interlinked variable pairs.
• Conservation Laws — Quantities remain constant.
• Degrees of Freedom — Independent parameters.
• Gauge Invariance / Gauge Symmetry — Equivalent representations.
• Noether's Theorem — Symmetry links to conservation.
• Phase Space — All possible system states.
• Principle of Least Action — Optimal system paths.
• Symmetry Breaking — Loss of symmetry creates structure.