{"observer":{"latitude":53.4808,"longitude":-2.2426},"date":{"year":2026,"month":10,"day":9,"calendar":"gregorian"},"lmt_offset_hours":-0.14950666666666665,"equation_of_time_minutes":8.647810705851505,"local_apparent_time_offset_hours":-0.005376488235808219,"solar_declination_degrees":-5.752087974308996,"sun_times_utc":{"solarNoonUTC":11.997119123116136,"sunriseUTC":6.517102640122175,"sunsetUTC":17.477135606110096,"dayLengthHours":10.96003296598792},"sun_times_lmt":{"sunrise":"06:22:03","solarNoon":"11:50:51","sunset":"17:19:39","dayLengthHours":10.96003296598792},"declaration":"Pure closed-form computation per the rishi-paramparā · NO IANA timezone lookup · NO per-city hardcoded data · works for supported coordinates and dates in the declared model range; numerical reach is not historical proof · per Constitutional Principle 23 (LMT-Yathārtha) · the substrate computes through Krishna's kāla declaration, not modern political derivation.","discipline":"Closed-Science Universal Time · per Constitutional Principle 23","constitutional_principle":23,"rishi_paramparā_lineage":"Sūrya-Siddhānta II.28 (declination), II.46 (apparent time), II.59-63 (sunrise and sunset)"}