Explicit Quantum Calculations from Entropy Geometry: Worked Examples in the TEQ Framework

We present a sequence of explicit, worked-out examples illustrating how canonical quantum phenomena arise from the Total Entropic Quantity (TEQ) framework, which reconstructs quantum theory as a consequence of entropy-weighted resolution geometry. Focusing on tunneling, quantization, uncertainty, interference, and decay, each example is calculated directly from the entropy-weighted action, without recourse to wavefunctions, operator postulates, or probabilistic axioms. The paper also provides a general algorithm for constructing the entropy metric Gij, clarifying its structural relation to entropy curvature and dynamical stability. This approach demonstrates that quantum effects—typically treated as fundamental mysteries—emerge naturally from the geometric selection and suppression of entropy-stable trajectories. The results confirm that TEQ is not only a structural reformulation but a computationally viable foundation for quantum mechanics. Further details on the axiomatic basis and broader implications of TEQ are provided in foundational work; here, we complement those results by emphasizing explicit calculations and systematic metric construction, bridging principle and prediction within the TEQ framework.