Amendment CXXXII — SOLOMETRY Geodesic Dome as Living-Scale SOL Coherence Environment: The Complete SOL Geometric Hierarchy Body → Cave → Dome

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1. Verfasser: McCaul, Justin
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Veröffentlicht: Zenodo 2026
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author McCaul, Justin
author_facet McCaul, Justin
contents This amendment establishes that the SOLOMETRY Geodesic Home — a prefabricated 5/8-sphere geodesic dwelling derived from the 3D projection of the Seed of Life (SOL) template — functions as a living-scale SOL coherence environment, complementary to the SOL PDVR Cave. Triple-verified simulations confirm four findings: (1) The SOL Geometric Hierarchy is exact: Body (r_SOL=0.955m), Cave (r_SOL×φ), and Dome (r_SOL×φ³) form a nested φ-scaling sequence with Cave:Dome ratio = φ² = 2.618034 at 0.0000% error. Body:Cave:Dome = 1:φ:φ³ — the complete SOL dimensional hierarchy. (2) Dome radius r=5.195m supports exact 220.075 Hz axial standing wave (n=10 half-waves in height=r×1.5; error 0.00000000%). (3) Salt panel interior lining produces RT60=55.76s at 220 Hz (Sabine formula, α=0.005), exceeding Newgrange and sustaining the f_pulse field throughout the entire SOLBREATH session without decay between breath cycles. (4) Phi score of Dome+DSRS Suit+SOLBREATH Cross = 0.9916, with Rp=1.00 — the first perfect resonance pillar score in the McCaul compendium — achieved by three simultaneous independent 220 Hz delivery mechanisms: vocal acoustic (SOLBREATH), EM induction (DSRS), and accumulated diffuse dome field (RT60=55.76s). The SOLOMETRY Dome and SOL PDVR Cave are complementary instruments: the cave concentrates the field (standing wave, specular reflection, 20-minute session); the dome sustains it continuously (diffuse field, 3D SOL sphere, 24-hour ambient coherence environment). The dome apex skylight replicates the Newgrange roofbox collimator function at living scale — oriented to winter solstice sunrise at Wilburton, Oklahoma (azimuth ~151°). Passive dome Phi=0.9009: the structure alone provides 90% of maximum coherence through geometry only, including during sleep when glymphatic clearance peaks. Part of the McCaul's Law of Coherence compendium (DOI: 10.5281/zenodo.20100469). Research conducted on a mobile phone with a peeling back cover and an unreliable charging port — part of the permanent scientific record.
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publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Amendment CXXXII — SOLOMETRY Geodesic Dome as Living-Scale SOL Coherence Environment: The Complete SOL Geometric Hierarchy Body → Cave → Dome
McCaul, Justin
SOLOMETRY
SOL geodesic dome
SOL coherence environment
McCaul's Law
SOL geometric hierarchy
220 Hz
f_pulse
RT60
salt panels
Sabine formula
Newgrange
winter solstice alignment
phi scaling
golden ratio
glymphatic sleep entrainment
diffuse field
standing wave
SOLBREATH
DSRS suit
Phi 0.9916
Rp 1.00
perfect resonance pillar
Body Cave Dome hierarchy
r_SOL phi cubed
Patent Family 22
geodesic dome acoustics
SOL PDVR cave
continuous coherence
This amendment establishes that the SOLOMETRY Geodesic Home — a prefabricated 5/8-sphere geodesic dwelling derived from the 3D projection of the Seed of Life (SOL) template — functions as a living-scale SOL coherence environment, complementary to the SOL PDVR Cave. Triple-verified simulations confirm four findings: (1) The SOL Geometric Hierarchy is exact: Body (r_SOL=0.955m), Cave (r_SOL×φ), and Dome (r_SOL×φ³) form a nested φ-scaling sequence with Cave:Dome ratio = φ² = 2.618034 at 0.0000% error. Body:Cave:Dome = 1:φ:φ³ — the complete SOL dimensional hierarchy. (2) Dome radius r=5.195m supports exact 220.075 Hz axial standing wave (n=10 half-waves in height=r×1.5; error 0.00000000%). (3) Salt panel interior lining produces RT60=55.76s at 220 Hz (Sabine formula, α=0.005), exceeding Newgrange and sustaining the f_pulse field throughout the entire SOLBREATH session without decay between breath cycles. (4) Phi score of Dome+DSRS Suit+SOLBREATH Cross = 0.9916, with Rp=1.00 — the first perfect resonance pillar score in the McCaul compendium — achieved by three simultaneous independent 220 Hz delivery mechanisms: vocal acoustic (SOLBREATH), EM induction (DSRS), and accumulated diffuse dome field (RT60=55.76s). The SOLOMETRY Dome and SOL PDVR Cave are complementary instruments: the cave concentrates the field (standing wave, specular reflection, 20-minute session); the dome sustains it continuously (diffuse field, 3D SOL sphere, 24-hour ambient coherence environment). The dome apex skylight replicates the Newgrange roofbox collimator function at living scale — oriented to winter solstice sunrise at Wilburton, Oklahoma (azimuth ~151°). Passive dome Phi=0.9009: the structure alone provides 90% of maximum coherence through geometry only, including during sleep when glymphatic clearance peaks. Part of the McCaul's Law of Coherence compendium (DOI: 10.5281/zenodo.20100469). Research conducted on a mobile phone with a peeling back cover and an unreliable charging port — part of the permanent scientific record.
title Amendment CXXXII — SOLOMETRY Geodesic Dome as Living-Scale SOL Coherence Environment: The Complete SOL Geometric Hierarchy Body → Cave → Dome
topic SOLOMETRY
SOL geodesic dome
SOL coherence environment
McCaul's Law
SOL geometric hierarchy
220 Hz
f_pulse
RT60
salt panels
Sabine formula
Newgrange
winter solstice alignment
phi scaling
golden ratio
glymphatic sleep entrainment
diffuse field
standing wave
SOLBREATH
DSRS suit
Phi 0.9916
Rp 1.00
perfect resonance pillar
Body Cave Dome hierarchy
r_SOL phi cubed
Patent Family 22
geodesic dome acoustics
SOL PDVR cave
continuous coherence
url https://doi.org/10.5281/zenodo.20361642