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Critiquing liberalism from the perspective of fractal mechanics requires questioning its fundamental assumptions through multi-scale and self-similarity principles. Liberalism is an ideology that places the individual at the center and mostly defines freedom as the sphere of individual choices. However, the fractal perspective shows that the individual is not merely a singular point, but part of multi-scale motifs.
Critiquing capitalism from the window of Fractal Mechanics breaks the system’s linear and deterministic assumptions, revealing how it is fundamentally a structure that “repeats itself but produces contradictions at different scales.” Capitalism assumes a straight-line progression as in classical mechanics: capital accumulates, production increases, consumption expands. However, the fractal perspective shows that this process contains scale-independent repeating irregularities.
According to fractal mechanics, chaos and order are not separate from each other; they are self-similar motifs of the same system emerging at different scales. In this approach, chaos is not disorder; it is the complex repetition of order at fractal scales.
When fractal relativity and quantum field theory are combined, spacetime and energy fields are defined as a self-similar, multi-scale, and dynamic structure. This model breaks the continuity assumption of classical relativity and integrates the probabilistic structure of quantum mechanics with fractal geometry.
Fractal space-time lensing defines the classical gravitational lensing phenomenon by extending it with fractal geometry. In this approach, the bending of light does not occur as a uniform curvature, but in the form of self-similar and multi-scale deflections.
Fractal wave functions aim to redefine the classical wave function concept of quantum mechanics with fractal geometry. In this approach, multiscale, self-similar structures stand out rather than the continuity of the wave function.
If we critique Engels’ philosophy (especially historical materialism and dialectics) by comparing it with the perspective of fractal mechanics, the resulting picture takes shape as follows:
The science of fractal statistics must be built directly upon fractal analysis, transcending the linear and Gaussian assumptions of classical statistics. The goal here is to mathematically describe and measure the scale-dependent, self-similar, multifractal structures in nature and systems.
When the fractal analysis of Surah Ali ‘Imran is examined through structural repetitions, symmetry groups, and multi-scale patterns; the surah acts as a continuation of Surah Al-Baqarah, branching out fractally to process the themes of prophethood, faith, and tawhid (monotheism). In particular, the distinction between muhkam (clear/decisive) and mutashabih (allegorical/ambiguous) verses establishes an order that spreads from the center to the periphery, like fractal wave functions.
The “hydrogen universe scenario” refers to a cosmological concept where only hydrogen exists in the universe and neutrons are absent. In this scenario, matter, chemistry, and life could not have emerged with their present-day diversity.