Academic Journal
Composite Universal Constants Combining 2–5 Known Constants Reveal Latent Connections Between Disparate Physical Regimes and the Role of Dimensionless Constants in Systems of Units.
| Τίτλος: | Composite Universal Constants Combining 2–5 Known Constants Reveal Latent Connections Between Disparate Physical Regimes and the Role of Dimensionless Constants in Systems of Units. |
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| Συγγραφείς: | Christodoulou, Dimitris M., Kazanas, Demosthenes, Laycock, Silas G. T. |
| Πηγή: | Galaxies (2075-4434); Aug2026, Vol. 14 Issue 4, p74, 33p |
| Θεματικοί όροι: | Dimensionless numbers, Physical constants, Metric system, Gravitational constant, Fine-structure constant, Planck scale, Dimensional analysis |
| Περίληψη: | We introduce a new method of dimensional analysis based on complete systems of units, such as the metric and Planck systems, in which fundamental dimensionless constants arise naturally. In fact, it is the reformulated Planck system that communicates its dimensionless constants to the metric or any other system. The method reveals additional complex dynamical scales and physical effects beyond those amenable to conventional dimensional analysis. We formulate our strategy in simple settings involving pairs of seemingly unrelated constants, and then we extend the analysis to more complicated cases involving combinations of three to five well-known universal constants. In constructions involving several unrelated constants, the method captures increasingly complex effects and places two or more disparate physics areas into a single framework connecting them by never-before-seen combinations of fundamental dimensionless constants, such as the fine-structure constant and the gravitational coupling constant. Thus, this method provides a pathway to blending descriptions of two or more fundamental interactions that have so far eluded a consistent theoretical formulation. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: | Complementary Index |
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