The subject matter relates to multiple parallel ensembles of early stage spherical pulses radiated through engineered arrays forming the foundation for quantized computer processors taking advantage of integer thermodynamics. The materials, architecture and methods for constructing micro- and/or nano-scale three-dimensional cellular arrays, cellular series logic gates, and signature logic form the basis of small- and large-scale apparatuses used to execute logic, data bases, memory, mathematics, artificial intelligence, prime factorization, optical routing and artificial thought tasks not otherwise replicated in electron-based circuits. Unlike prior art electric-current based computational devices—that by definition dissipate heat and consume significant power to achieve computational output—the types of logic gates described do not shed waste heat and minimally consume power, which is desirable for embedded computers, ultra high-throughput computation, low-power consumption data centers and extended battery life devices.