Exploratory Assessment of State-Dependent Cardiovascular and Acoustic Responses Following Exposure to Water Associated With a 58° Angular Configuration

Abstract Background: Exploratory research has investigated whether defined geometric configurations may be associated with measurable biological responses. Previous observations have described effects associated with selected angular configurations in microbial and neurophysiological models. However, whether water associated with a defined angular configuration is followed by measurable changes in human peripheral cardiovascular or acoustic measures remains insufficiently studied. Objective: This pilot study investigated whether ingestion of water previously associated with a 58° angular configuration was followed by changes in peripheral cardiovascular measures, including photoplethysmographic (PPG) pulse amplitude and heart rate variability (HRV), and whether the observed responses differed between two baseline physiological states. Separate near-field visual-exposure trials were also conducted to explore changes in selected acoustic measures following exposure to geometric visual stimuli. Methods: A single-subject exploratory study was conducted across two experimental days characterized by approximately 3 and 6 hours of prior sleep, respectively. Filtered water was associated with a 58° acrylic angular configuration for approximately 12 hours. Electrical conductivity (EC), pH, total dissolved solids (TDS), and temperature were measured, with EC values normalized to 25°C to reduce the influence of temperature variation. Cardiovascular responses were assessed using remote photoplethysmography (rPPG) processed with the NeuroCore V13.0 algorithm, together with wearable-derived heart rate and HRV measurements. In separate near-field trials, visual representations of 58°, 66°, and a blank white-screen condition were presented on a mobile device. Pre- and post-exposure voice recordings were obtained, and acoustic measures included fundamental frequency (F0), amplitude perturbation quotient over 11 cycles (APQ11), and harmonics-to-noise ratio (HNR). Results: Thermally compensated EC showed a non-monotonic trajectory, decreasing from 277.5 to 264.0 µS/cm (−4.9%) at approximately 7 minutes after the relevant measurement sequence and subsequently increasing to 297.0 µS/cm (+7.0% relative to baseline) at 90 minutes. Cardiovascular responses differed between the two baseline states. PPG pulse amplitude increased by approximately 103% following ingestion on the 3-hour-sleep day and decreased by approximately 54.4% on the 6-hour-sleep day. In the separate acoustic trials, F0 increased by 1.7% following 58° exposure and by 1.5% following the blank-screen condition. APQ11 decreased by 18.8% following 58° exposure and increased by 24.6% following the blank-screen condition. The 66° condition produced larger but variable responses across baseline states. Conclusion: In this single-subject exploratory study, water associated with a 58° angular configuration was followed by measurable variation in EC and by different directions of PPG-derived pulse-amplitude response across two experimental sessions with different prior sleep durations. The separate acoustic observations showed divergent APQ11 changes between the 58° and blank-screen conditions, whereas F0 changed in the same direction under both conditions. Given the single-subject design, limited number of experimental sessions, lack of randomization and matched sham exposure, these findings do not establish causality, a specific physical mechanism, or a reproducible biological or therapeutic effect. The observations provide hypotheses for future studies using randomized sham-controlled designs, larger samples, standardized exposure conditions, blinded assessment, and independent validation of physicochemical and physiological measurements. Keywords: Geometric Biology; Angular Geometry; Heart Rate Variability; Photoplethysmography; Autonomic Physiology; State-Dependent Response; Water Exposure; Near-Field Visual Exposure; Acoustic Biomarkers Introduction The relationship between geometric configuration and biological response has been explored in several interdisciplinary contexts, although the reproducibility and mechanisms of reported effects remain uncertain. Previous exploratory work has examined whether defined spatial arrangements and angular relationships may be associated with measurable changes in biological systems, including configurations related to geometric relationships derived from the Golden Ratio. Wafa's doctoral research investigated selected geometric configurations using experimental observations involving microbiological and neurophysiological models [1]. The reported work included complementary angular relationships such as 58°/32° and other geometric arrangements. In the microbiological experiments, selected geometric configurations were associated with differences in bacterial growth relative to control conditions. Separate neurophysiological observations reported changes in electroencephalographic activity following exposure to selected geometric configurations [1]. These findings provide a historical basis for further experimental investigation but do not establish a common physical mechanism or demonstrate that similar effects should occur across different biological systems. An unresolved question is whether a measurable physiological response could be observed when a defined geometric configuration is applied indirectly through an intermediate physical medium. Water is particularly suitable for exploratory investigation because its physicochemical properties can be measured independently. However, water conductivity, pH, temperature, and dissolved-solute characteristics can vary with environmental conditions, container properties, handling, and measurement procedures. Accordingly, changes in these parameters should not be interpreted as evidence of a specific molecular alteration without independent physicochemical validation. The present pilot study investigated whether water previously associated with a defined 58° angular configuration was followed by measurable changes in peripheral cardiovascular variables after ingestion. A secondary objective was to examine whether the cardiovascular response differed between two experimental sessions characterized by different prior sleep durations. The comparison was exploratory and was intended to examine whether baseline physiological state might be relevant to the direction or magnitude of the observed response. A separate set of near-field visual-exposure trials was conducted to explore selected acoustic measures. These trials were methodologically distinct from the water-ingestion experiment and were not intended to serve as a placebo or sham control for ingestion. Instead, they provided an independent exploratory assessment of whether exposure to geometric visual stimuli was associated with changes in voice-derived measures relative to a blank-screen condition. The study was designed as a hypothesis-generating investigation. Therefore, all findings are interpreted as preliminary within-subject observations rather than evidence of causality, mechanism, clinical efficacy, or generalizability. Materials and Methods Study Design This investigation used a single-subject exploratory design comprising two related but methodologically distinct experimental components: (1) a water-exposure and ingestion protocol with cardiovascular monitoring and physicochemical measurements, and (2) separate near-field visual-exposure trials with acoustic measurements. The water-ingestion component was conducted on two experimental days characterized by approximately 3 and 6 hours of prior sleep, respectively. The near-field visual trials were conducted separately and included 58°, 66°, and blank-screen conditions. Because the study involved one participant and a limited number of experimental sessions, the analysis was descriptive. No inferential statistical testing or population-level effect estimation was performed. Geometric Exposure Protocol Filtered drinking water (500 mL) was placed within a transparent acrylic apparatus incorporating a 58° angular configuration. The acrylic material had a reported thickness of approximately 2 mm. The water remained undisturbed for approximately 12 hours at room temperature, with the experimental environment maintained at approximately 22.5–24.0°C. The apparatus was positioned away from intentional sources of electromagnetic interference. No mechanical or acoustic excitation was intentionally applied during the water-exposure period. The protocol was designed to provide a standardized period during which the water was spatially associated with the defined angular configuration before physiological testing. The study did not directly measure molecular structure or any specific physicochemical mechanism potentially associated with the geometric configuration. Physicochemical Water Measurements Water temperature, electrical conductivity (EC), pH, and total dissolved solids (TDS) were measured using a calibrated digital water-quality meter. Because electrical conductivity is temperature dependent, measured conductivity was normalized to a reference temperature of 25°C using: [EC_{25}=EC_T \times [1+0.02(25-T)]] where (EC_T) represents the measured conductivity at temperature (T), and (EC_{25}) represents the estimated conductivity normalized to 25°C. Temperature compensation was applied to reduce the influence of temperature variation when comparing measurements. The resulting values were interpreted as measurements of bulk electrical conductivity and not as direct evidence of molecular restructuring, persistent water-memory effects, or another specific physical mechanism. Physiological Monitoring and Baseline States The water-ingestion experiment was performed on two separate days characterized by different amounts of prior sleep. On Day 1, the participant had approximately 3 hours of sleep before the experimental session. Baseline PPG amplitude w