OS System / ε-Model — Harmonic Invariance of Physical Constants: Unifying Planetary Dynamics, Fine-Structure Constant, and Cosmological Scales via the Geometric Matrix Framework ( part 16 )
{"This":[0],"paper":[1],"presents":[2],"a":[3,58,74,96,125,143,151],"mathematical":[4],"framework":[5],"connecting":[6],"planetary":[7,36],"dynamics":[8],"(Earth's":[9],"orbital":[10,40,155],"velocity,":[11],"rotational":[12],"speed,":[13],"diameter,":[14],"and":[15,24,39,50,64,68,83,105],"time":[16,79],"cycles)":[17],"with":[18],"fundamental":[19],"physical":[20],"constants":[21],"(c,":[22],"α−1≈137.035)":[23],"geometric":[25,55,144],"operators":[26],"(π,":[27],"π2,":[28],"π4,":[29],"1.2008,":[30],"216,":[31],"3600).":[32],"It":[33],"demonstrates":[34],"that":[35,114],"axial":[37],"rotation":[38],"translation":[41,149],"are":[42],"not":[43],"random,":[44],"independent":[45],"events.":[46],"Instead,":[47],"astronomical":[48],"velocities":[49],"measurement":[51,130],"units":[52],"emerge":[53],"as":[54,95,142],"projections":[56],"of":[57,87,120,128],"single":[59],"harmonic":[60],"matrix.":[61],"Key":[62],"Results":[63],"Formulations:":[65],"Light":[66],"Speed":[67],"Time":[69],"Base":[70],"Identity:":[71],"8754.15×10`9=c2⋅π4":[72],"Shows":[73,135],"99.99%":[75],"convergence":[76],"between":[77],"diurnal/annual":[78],"units,":[80],"π4":[81],"geometry,":[82],"the":[84,115,121,129,137],"squared":[85],"speed":[86],"light":[88],"(c2).":[89],"Fine-Structure":[90],"Constant":[91],"(α−1≈137.035):":[92],"Interprets":[93],"α−1":[94],"scale-translation":[97],"operator":[98,146],"converting":[99,147],"spatial":[100],"vectors":[101],"into":[102,150],"temporal":[103],"cycles":[104],"boundary":[106,127],"conditions.":[107],"Cosmological":[108],"Horizon":[109],"Node":[110],"(13.88):":[111],"π2α−1≈13.88465":[112],"Demonstrates":[113],"\\"13.8":[116],"billion":[117],"year":[118],"age":[119],"universe\\"":[122],"corresponds":[123],"to":[124],"phase-closure":[126],"grid.":[131],"The":[132],"3600":[133,139],"Operator:":[134],"how":[136],"sexagesimal":[138],"pivot":[140],"acts":[141],"scaling":[145],"diurnal":[148],"full":[152],"3D":[153],"volumetric":[154],"cycle.":[156]}
Authors
- Danijus Kazlauskas (ORCID: https://orcid.org/0009-0000-9382-8541)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-14
- DOI
- https://doi.org/10.5281/zenodo.22755943
- Primary Topic
- Geophysics and Gravity Measurements
- Type
- preprint