Symbolic Collapse of a 7D Logarithmic Integral to ζ(7) and Mixed Zeta Combinations

This work presents the symbolic analysis of a 7-dimensional integral featuring a logarithmic numerator and a rational denominator. The structure is carefully crafted to exhibit collapse behavior into known zeta values, including ζ(7), ζ(2)ζ(5), and ζ(3)ζ(4). The numerator, log(1 − x₁x₂x₃x₄x₅x₆), is expanded as a formal power series, while the denominator supports geometric expansion, allowing term-by-term integration and harmonic sum evaluation. This collapse is part of a broader theory investigating how multidimensional integrals reduce to multiple zeta values through symbolic techniques. The author, dbate7, contributes this result as part of an emerging framework known as Collapse Order theory, aiming to reveal the hidden algebraic and combinatorial symmetries within nested integral structures.