Future Ecological Theory (FET): A Cascaded Operator Framework for Nonlinear Emergence and Engineering Regulation in Ecological and Cross-Domain Systems

This paper proposes the Future Ecological Theory (FET), an operable theoretical framework centered on ecological systems and compatible with cross-domain applications, integrating core ideas of cascaded constraint collision field theory. FET hypothesizes that the stable emergent quantity E (e.g., community stability, energy transfer efficiency) of ecological and cross-domain systems arises from a "two-step collision + constraint decoding" cascaded process, mathematically implemented via parameterizable nonlinear operators \lozenge_C (generation) and \otimes_D (constraint decoding) with trigger thresholds and spectral kernels. Core innovations include five foundational axioms (modal representability, generation/constraint operators, trigger criticality, calibratability), cross-domain mapping templates (ecology, quantum/topology, quantum biology, social information, wetware-hardware hybrid), and four falsifiable claims validated by reproducible numerical simulations and ecological experiments. Experimental results confirm: dimensional constraints significantly improve ecological formula recovery rate (up to 72% under low-noise medium-sample conditions); wetware-hardware hybrids achieve superior energy efficiency-error tradeoffs with increased modal matching; cross-domain parameters exhibit predictable sensitivity; and threshold-amplification mechanisms induce system bifurcation and hysteresis. FET provides a six-step engineering roadmap and executable control strategies (e.g., energy flow trigger threshold = 0.03, maximum gain boost = 3.0) for ecological monitoring and regulation, bridging theoretical rigor with practical applicability across interdisciplinary scenarios.