Equation 66 · Part 5 · No Particle Without a Cosigner
Starting index or lower bound: 0
What this part means
This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.
Its job in the formula
0 appears in the bound of this integral. The bound states where the repeated operation starts, ends, or which values it includes.
Full expression→Starting index or lower bound: 0→Article meaning
The passage around this formula
…the same textbook fact that says an unaccelerated atom in its ground state, coupled to the electromagnetic vacuum, never spontaneously jumps up in energy [ 6 ] . Consequently = 0 identically for every >0 , not approximately, not in some limit — exactly zero. The normalization integral \,d' is therefore also exactly zero, and is 0/0 : undefined.
Learn the underlying idea
Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.
Open the illustrated sums and products: repeat an operation over an index guide →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.