Anomaly on Superspace of Time Series Data

Salvatore Capozziello 1 , 2 , 3 , Richard Pincak 4 , 5 ,  and Kabin Kanjamapornkul 6
  • 1 Dipartimento di Fisica, Università di Napoli “Federico II”, Via Cinthia, I-80126 Napoli, Italy
  • 2 Istituto Nazionale di Fisica Nucleare, Sez. di Napoli, Via Cinthia, Napoli, Italy
  • 3 Gran Sasso Science Institute, Via F. Crispi 7, I-67100 L’Aquila, Italy
  • 4 Institute of Experimental Physics, Slovak Academy of Sciences, 043 53 Kosice, Slovak Republic
  • 5 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia
  • 6 Department of Survey Engineering, Faculty of Engineering, Chulalongkorn University, 254 Phyathai Road, Bangkok, Thailand
Salvatore Capozziello
  • Corresponding author
  • Dipartimento di Fisica, Università di Napoli “Federico II”, Via Cinthia, I-80126 Napoli, Italy
  • Istituto Nazionale di Fisica Nucleare, Sez. di Napoli, Via Cinthia, Napoli, Italy
  • Gran Sasso Science Institute, Via F. Crispi 7, I-67100 L’Aquila, Italy
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, Richard Pincak
  • Institute of Experimental Physics, Slovak Academy of Sciences, 043 53 Kosice, Slovak Republic
  • Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia
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and Kabin Kanjamapornkul
  • Department of Survey Engineering, Faculty of Engineering, Chulalongkorn University, 254 Phyathai Road, Bangkok, Thailand
  • Email
  • Search for other articles:
  • degruyter.comGoogle Scholar

Abstract

We apply the G-theory and anomaly of ghost and antighost fields in the theory of supersymmetry to study a superspace over time series data for the detection of hidden general supply and demand equilibrium in the financial market. We provide proof of the existence of a general equilibrium point over 14 extradimensions of the new G-theory compared with the M-theory of the 11 dimensions model of Edward Witten. We found that the process of coupling between nonequilibrium and equilibrium spinor fields of expectation ghost fields in the superspace of time series data induces an infinitely long exact sequence of cohomology from a short exact sequence of moduli state space model. If we assume that the financial market is separated into two topological spaces of supply and demand as the D-brane and anti-D-brane model, then we can use a cohomology group to compute the stability of the market as a stable point of the general equilibrium of the interaction between D-branes of the market. We obtain the result that the general equilibrium will exist if and only if the 14th Batalin–Vilkovisky cohomology group with the negative dimensions underlying 14 major hidden factors influencing the market is zero.

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