The canonical unsolved problems in physics are reframed as diagnostic signatures of an incomplete descriptive paradigm. This paper proposes a generative framework in which physical reality emerges from a deterministic computational process on a topological substrate-the circle S 1. Its first homotopy group, π 1 (S 1) ≅ Z , yields integer winding numbers that serve as complete information carriers: magnitude sets mass-energy, while prime factorization encodes quantum charges. A topological resonance condition, governed by the golden ratio, selects a sparse spectrum of stable states, explaining the hierarchy problem and the existence of exactly three fermion generations. Spacetime and gravity emerge from a projection of this underlying dynamics, with the Einstein Field Equations reinterpreted as a constitutive relation. The framework post-dicts fundamental mass ratios with high precision and makes falsifiable predictions in gravitational-wave astronomy and high-energy astrophysics, recasting physics as a theorem of arithmetic geometry.

PDF | This paper proposes that physical reality emerges from a pre-geometric substrate based on the circle S 1 , with its integer winding numbers... | Find, read and cite all the research you need on…

Fifty years after Richard Feynman’s seminal address, the “Cargo Cult” metaphor is more relevant than ever, describing a contemporary academic system that has perfected the rituals of science while stifling foundational discovery. This analysis argues that the modern scientific guild has become a systemic equilibrium that rewards safe, incremental iteration over high-risk innovation. The phenomenon of “planes not landing” is reinterpreted for the 21st century as a measurable decline in disruptive science, a crisis evidenced by the stagnation of fundamental breakthroughs and the widespread failure of replication. Using a recent Twitter exchange dismissing speculative quantum biology as a case study, this paper examines the rhetorical and institutional gatekeeping mechanisms—from the social policing of “seriousness” to the explicit credentialism of platforms like SciPost—that enforce this conservative paradigm. We apply the “Feynman Integrity Test,” demonstrating that the current system, by its own design, would have excluded the 1905 Albert Einstein. The paper deconstructs the guild’s defenses, revealing that its credential-based filters are not only ineffective at ensuring rigor but are existentially necessary to protect the guild’s hierarchical structure from a true meritocracy. We conclude that the academic guild now functions as a parasitic entity on the scientific method, necessitating the development of parallel, open systems to foster the genuine inquiry it can no longer support.

The quantum computing industry, after a 44-year history originating from early theoretical proposals, has consumed over $30 billion in global investment yet has failed to produce a single…

This document presents a comprehensive strategic framework for the future of advanced computing, arguing for a fundamental paradigm shift from the current pursuit of theoretical purity—embodied by…

PDF | Modern machine learning faces a foundational crisis, operating as a descriptive science that excels at identifying statistical correlations but... | Find, read and cite all the research you…

PDF | This establishes a theoretical framework wherein number-theoretic structures, particularly prime factorization, emerge as causal signatures of... | Find, read and cite all the research you need…

This paper presents a unified theoretical framework that resolves the foundational crisis between general relativity and quantum mechanics through computational geometry on the circle. The Circle Mathematics Framework (Quni-Gudzinas, 2025) posits the circle S 1 as the fundamental computational substrate of physical reality.

PDF | This paper presents a comprehensive mathematical framework that resolves the foundational discord between general relativity and quantum mechanics... | Find, read and cite all the research you…