Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
August 15, 2026Open Access

Dimensional Compression and Infratier Gauge Closure A Generative Algebra from Phase-Spatial Coherence to Closure Exhaustion

View Full Paper
Ask AI
Bookmark
Share

Authors

PLPhilip Lilien

Discussion

Loading...

Member takes

Overview

Theoretical analysis reveals how dimensional compression generates standard gauge symmetries through infratier closure, suggesting a geometric origin for fundamental physical forces.

Key Points

  • To formulate a mathematical architecture for infratier gauge closure where effective dimensional compression converts observable degrees of freedom into internal relational structures.
  • Constructed a phase-spatial disclosure primitive with effective dimension sectorization generating an exact compression sequence.
  • Utilized nested resolution maps, Lipschitz quotient maps, and three-dimensional Clifford algebra to determine fiber automorphism stabilizers.
  • Generated standard gauge groups U(1), SU(2), and SU(3) as stabilizer automorphisms for one-component complex phases and oriented Hermitian two- and three-frames.
  • Established a candidate stopping rule using 3D Clifford algebra where top-grade pseudoscalar closure enables phase-like recurrence at maximal spatial compression.

Cite This Study

Philip Lilien (2026) studied this question.

synapsesocial.com/papers/6a8019f175c2e31742c862fahttps://doi.org/10.5281/zenodo.21921731
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Closure Fields and Closure Classes: Mathematical Foundations for Gauge Structure, Particle Identity, Quantum Closure, and Emergent Geometry2026
  2. 2Partial Closure Matter Reconstruction Generation Geometry and Protected Orientation2026
  3. 3INFRATIER CLOSURE PHYSICS and the Origin of Gauge Structure Volume One2026
  4. 4Infratier Closure Physics Foundations, Formalism, and Physical Interpretation A Closure-Based Reconstruction of Curvature, Gauge Structure, Mass, and Emergence2026
  5. 5Closure Rank, Gauge Carriers, and Canonical Representations Reconstruction, Dimensional Compression, and the 1→2→3 Generative Gauge Hierarchy2026