# Identification of phase correlations in Financial Stock Market Turbulence

**Authors:** Kiran Sharma, Abhijit Dutta, Rupak Mukherjee

arXiv: 2508.20105 · 2025-09-12

## TL;DR

This paper introduces a spectrum analysis framework to decompose and understand price fluctuations and turbulence in the Indian stock market, linking information asymmetry to market behavior.

## Contribution

It presents a novel spectral analysis method to analyze cyclical price fluctuations and market turbulence beyond traditional wave-based approaches.

## Key findings

- Decomposes stock price patterns into fundamental cycles.
- Identifies the impact of information asymmetry on market turbulence.
- Provides insights into the nature of market fluctuations.

## Abstract

The basis of arbitrage methods depends on the circulation of information within the framework of the financial market. Following the work of Modigliani and Miller, it has become a vital part of discussions related to the study of financial networks and predictions. The emergence of the efficient market hypothesis by Fama, Fisher, Jensen and Roll in the early 1970s opened up the door for discussion of information affecting the price in the market and thereby creating asymmetries and price distortion. Whenever the micro and macroeconomic factors change, there is a high probability of information asymmetry in the market, and this asymmetry of information creates turbulence in the market. The analysis and interpretation of turbulence caused by the differences in information is crucial in understanding the nature of the stock market using price patterns and fluctuations. Even so, the traditional approaches are not capable of analyzing the cyclical price fluctuations outside the realm of wave structures of securities prices, and a proper and effective technique to assess the nature of the Financial market. Consequently, the analysis of the price fluctuations by applying the theories and computational techniques of mathematical physics ensures that such cycles are disintegrated, and the outcome of decomposed cycles is elucidated to understand the impression of the information on the genesis and discovery of price and to assess the nature of stock market turbulence. In this regard, the paper will provide a framework of Spectrum analysis that decomposes the pricing patterns and is capable of determining the pricing behavior, eventually assisting in examining the nature of turbulence in the National Stock Exchange of India.

## Full text

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## Figures

77 figures with captions in the complete paper: https://tomesphere.com/paper/2508.20105/full.md

## References

56 references — full list in the complete paper: https://tomesphere.com/paper/2508.20105/full.md

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Source: https://tomesphere.com/paper/2508.20105