Mathematical Analysis of Hymns for Meditation
M. Krishnamurthy
International Journal of Mathematics Trends and Technology December 25, 2020 DOI: 10.14445/22315373/ijmtt-v66i12p501 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or mathematical analysis Peer reviewed |
|---|---|
| Topics | Meditation |
| Key points | Argues that mantra and Vedic meditation chants, analyzed as time series at 44,100 Hz and compared with popular Hindi, Kannada, and Spanish/English songs and the Tirumala temple bell, are Lyapunov stable and asymptotically stable, and concludes that this stability makes them suited to meditation. |
Abstract
In this work we study the mantra and Vedic chants used for meditation and convert them to time series with the frequency of 44100 Hertz. We then perform the mathematical and statistical analysis of these chants and compare these results with few of the popular known songs in Hindi, Kannada and Spanish/English. We also consider the Tirumala temple bell sound for our analysis and study. We conclude that the meditation songs are lyapunov stable and in fact they are asumptotically stable. And hence are perfect for meditation.
Comparable studies
Other theoretical and historical papers on meditation, most cited first.
| Study | Year | Design | Participants |
|---|---|---|---|
| Mindfulness: A proposed operational definition. | 2004 | Theoretical or philosophical paper | |
| Mechanisms of mindfulness | 2005 | Theoretical or philosophical paper | |
| How Does Mindfulness Meditation Work? Proposing Mechanisms of Action From a Conceptual and Neural Perspective | 2011 | Theoretical or philosophical paper | |
| Mindfulness-based cognitive therapy for depression | 2006 | Theoretical or philosophical paper | |
| Self-awareness, self-regulation, and self-transcendence (S-ART): a framework for understanding the neurobiological mechanisms of mindfulness | 2012 | Theoretical or philosophical paper |