argumentA line of reasoning from premises to a conclusion. Like a claim, it belongs to no one who makes it.constitution →

Continuity precedents

forThis argument, if it holds, bears in favour of the claim.constitution →Phases of matter with the same symmetry-breaking pattern can always be connected without a phase transition

The argument

When no symmetry distinction separates two phases, no order parameter is forced to vanish along a path between them, so a smooth connection is possible in known cases. Liquid and gas, which share all symmetries, are connected continuously around the critical point, and because Higgs and confining regimes of gauge theories with fundamental matter are continuously connected, the same holds in gauge theory, supporting the general principle.

Does it work?

Not yet evaluated.

Premises

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →Higgs and confining regimes of gauge theories with fundamental matter are continuously connected without a phase transition

Where it is made

Passages where sources make, criticize or mention this argument. They record where it appears, not how strong it is, and none has precedence over another.

No source is recorded as making it.

Earlier ratings

Aug 4, 2026
The inference establishes possibility, not universality: liquid-gas continuity and Higgs-confinement continuity show that phases sharing a symmetry realization are often smoothly connectable, which supports the principle as a default. It cannot carry the claim's universal reading, since exhibiting cases where a smooth path exists does not show one always exists. Its remaining weight rests on the Higgs-confinement precedent, which is not yet assessed on its own page but rests on a rigorous lattice result for gauge theories with fundamental matter.