bio-spatial predictive modeling of autonomic stress dissipation: the shah field equation (K_Shah) and predictive architectural physics across municipal spatial nodes

Conventional urban public health frameworks evaluate stress as an internal biological reaction or external chemical burden, treating architectural space as a passive background container. This paper presents a predictive field framework establishing salutogenesis as an intrinsic, measurable property of 4D spacetime geometry (x, y, z, t). We introduce the Shah Field Equation (K_Shah = 1 - Vs / Vs_max) and demonstrate that local spatial visual volume ratios directly predict subcortical autonomic nervous system down-regulation within 20 seconds. Utilizing non-invasive remote photoplethysmography (rPPG) readings across empirical urban nodes in Coventry, UK—specifically contrasting Lamb Street (K_Shah = 0.00), McDonald's West Orchards/Cross Cheaping corridor (K_Shah = 0.28), and Tesco Bishop Gate (K_Shah = 0.71)—we prove that street enclosure directly governs heart-rate variability (HRV) and vascular tone transitions. Furthermore, we propose a mathematical predictive model capable of pre-calculating the salutogenic dissipation field for any street corner or building prior to physical construction, laying the groundwork for preventive spatial design.

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