dorsal/arxiv
View SchemaSet theoretical forcing in quantum mechanics and AdS/CFT correspondence
| Authors | Jerzy Król |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303089 |
| URL | https://arxiv.org/abs/quant-ph/0303089 |
| Journal | Int.J.Theor.Phys. 42 (2003) 921-935 |
Abstract
We show unexpected connection of Set Theoretical Forcing with Quantum Mechanical lattice of projections over some separable Hilbert space. The basic ingredient of the construction is the rule of indistinguishability of Standard and some Nonstandard models of Peano Arithmetic. The ingeneric reals introduced by M. Ozawa will correspond to simultaneous measurement of incompatible observables. We also discuss some results concerning model theoretical analysis of Small Exotic Smooth Structures on topological 4-space. Forcing appears rather naturally in this context and the rule of indistinguishability is crucial again. As an unexpected application we are able to approach Maldacena Conjecture on $AdS/CFT$ correspondence in the case of AdS_5xS^5 and Super YM Conformal Field Theory in 4 dimensions. We conjecture that there is possibility of breaking Supersymetry via sources of gravity generated in 4 dimensions by exotic smooth structures on R^4 emerging in this context.
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"abstract": "We show unexpected connection of Set Theoretical Forcing with Quantum\nMechanical lattice of projections over some separable Hilbert space. The basic\ningredient of the construction is the rule of indistinguishability of Standard\nand some Nonstandard models of Peano Arithmetic. The ingeneric reals introduced\nby M. Ozawa will correspond to simultaneous measurement of incompatible\nobservables. We also discuss some results concerning model theoretical analysis\nof Small Exotic Smooth Structures on topological 4-space. Forcing appears\nrather naturally in this context and the rule of indistinguishability is\ncrucial again. As an unexpected application we are able to approach Maldacena\nConjecture on $AdS/CFT$ correspondence in the case of AdS_5xS^5 and Super YM\nConformal Field Theory in 4 dimensions. We conjecture that there is possibility\nof breaking Supersymetry via sources of gravity generated in 4 dimensions by\nexotic smooth structures on R^4 emerging in this context.",
"arxiv_id": "quant-ph/0303089",
"authors": [
"Jerzy Kr\u00f3l"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int.J.Theor.Phys. 42 (2003) 921-935",
"title": "Set theoretical forcing in quantum mechanics and AdS/CFT correspondence",
"url": "https://arxiv.org/abs/quant-ph/0303089"
},
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