Geometric Realization of Completed Source Relations Descent, Orbit Spaces, Invariant Relations, and Variational Response in Shadow Theory
References
References
99
[1] Y. Aharonov and D. Bohm, Significance of Electromagnetic Potentials in the Quantum Theory, Physical Review 115 (1959), 485–491.
[2] W. Ambrose and I. M. Singer, A theorem on holonomy, Transactions of the American Mathematical Society 75 (1953), 428–443.
[3] D. Bleecker, Gauge Theory and Variational Principles, Addison–Wesley, Reading, MA, 1981.
[4] S.-S. Chern, Complex Manifolds Without Potential Theory, 2nd ed., Springer, New York, 1979.
[5] G. W. Gibbons and S. W. Hawking, Action integrals and partition functions in quantum gravity, Physical Review D 15 (1977), 2752–2756.
[6] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Volume I, Interscience Publishers, New York, 1963.
[7] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Volume II, Interscience Publishers, New York, 1969.
[8] J. W. Milnor and J. D. Stasheff, Characteristic Classes, Annals of Mathematics Studies 76, Princeton University Press, Princeton, NJ, 1974.
[9] E. Noether, Invariante Variationsprobleme, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse (1918), 235–257.
[10] V. Pravda, A. Pravdová, A. Coley, and R. Milson, All spacetimes with vanishing curvature invariants, Classical and Quantum Gravity 19 (2002), 6213–6236.
[11] N. Steenrod, The Topology of Fibre Bundles, Princeton University Press, Princeton, NJ, 1951.
[12] R. M. Wald, General Relativity, University of Chicago Press, Chicago, 1984.
[13] T. T. Wu and C. N. Yang, Concept of nonintegrable phase factors and global formulation of gauge fields, Physical Review D 12 (1975), 3845–3857.
[14] C. N. Yang and R. L. Mills, Conservation of Isotopic Spin and Isotopic Gauge Invariance, Physical Review 96 (1954), 191–195.
[15] J. W. York, Jr., Role of Conformal Three-Geometry in the Dynamics of Gravitation, Physical Review Letters 28 (1972), 1082–1085.
[16] J. Rodgers, Source–Readout Non-Equivalence: Descent and Equivariant Reconstruction Obstructions, Zenodo, 2026. doi:10.5281/zenodo.21369967.
[17] J. Rodgers, Target-Relative Necessity of Completion: When Readout Loss Obstructs, and What a Sufficient Extension Must Retain, Zenodo, 2026. doi:10.5281/zenodo.21370501.
[18] J. Rodgers, Canonical Minimal Source Completion: The Coarsest Readout Extension on which a Nominated Family of Source Relations Becomes Well Defined, Zenodo, 2026. doi:10.5281/zenodo.21370763.