Dimensional Analysis Demystified

EasyChair Preprint 11182, version history

Version	Date	Pages	Version notes
1	October 27, 2023	7
2	November 3, 2023	7	Version 2 expands upon the initial exploration (Version 1 URL https://easychair.org/publications/preprint/kWV5 ) by providing an even more comprehensive understanding of dimensions, their powers, and their role in mathematical and physical equations. Key Enhancements: Structured Presentation: We've reimagined the presentation of dimensional analysis, providing a clearer and more systematic approach to examining the relationships between dimensions. Dimensional Transitions: Version 2 introduces an in-depth exploration of dimensional transitions, from lower to higher dimensions and back, shedding light on how new dimensions and powers are introduced. Applications in Quantum Mechanics and Quantum Gravity: We've extended our analysis into the fascinating realms of quantum mechanics and quantum gravity, unraveling the intricate relationships between energy, length scales, and fundamental constants. Clarity and Insights: The mathematical presentation section offers greater clarity and insights into the implications of dimensions and their powers.
3	November 5, 2023	8	Enhancements in Version-3 of 'Dimensional Analysis Demystified': The improvements in Version-3 represent a significant step forward, enhancing the depth and clarity of the study. Key enhancements include: New Comprehensive Framework: Version-3 introduces a comprehensive framework that provides a structured foundation for understanding the intricate relationships between dimensions and events. This framework enriches the content and adds depth to the exploration. Explicit Dimension References: The paper explicitly references dimensions like L¹, L², L³, and L⁴, providing clear context and roles for each dimension. This clarity aids reader comprehension and smooths the exploration of dimensional relationships. Transition of Events: Version-3 thoroughly explores the dynamic transition of events between dimensions. It illustrates how events move between dimensions, deepening the understanding of dimensional analysis. Abstract vs. Real Values: The paper clarifies the distinction between abstract and real values for events. It emphasizes the importance of real values within dimensions, enhancing interpretation and prioritization. Revised Mathematical Presentation: The updated mathematical presentation integrates dimensions, event transitions, and abstract vs. real values, improving clarity and comprehension. Holistic Understanding: The focus on promoting a holistic understanding through the new framework enriches readers' comprehension of dimensions and their role in equations. Encouragement for Future Exploration: The conclusion encourages ongoing research, recognizing the dynamic nature of dimensional analysis.

Keyphrases: Planck Equation, Powers of Dimensions, conceptual framework, dimensional analysis, fundamental constants, quantum gravity, quantum mechanics

BibTeX entry

BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:

@booklet{EasyChair:11182,
  author    = {Soumendra Nath Thakur},
  title     = {Dimensional Analysis Demystified},
  howpublished = {EasyChair Preprint 11182},
  year      = {EasyChair, 2023}}