THE TRIAD OF TRANSDUCTION: FRIEDMANN, FEYNMAN AND RIEMANN IN THE PRIMITIVE ARCHITECTURE OF THE COSMOS

TitleThe Triad of Transduction: Friedmann, Feynman and Riemann in the Primitive Architecture of the Cosmos AuthorCláudio Vicente da Silva Description This work develops an operational extension of the Primitive Architecture through the application of parallel computation to the Latency Space and the Transductive Funnel. The proposal starts from the hypothesis that a potential structure need not be explored exclusively by a linear sequence of states, but may be submitted simultaneously to multiple transduction trajectories, each associated with different deviations relative to a state of equilibrium. The central element of this formulation is the structural parameter ddd, defined relative to the midpoint β0=1/2\\beta_0 = 1/2β0=1/2, so that the fundamental opposition is represented by d↔−dd \\leftrightarrow -dd↔−d. From this structure a computational architecture is established in which different configurations are evaluated simultaneously by a coherence metric Π\\PiΠ, allowing the identification of regions of equilibrium, rupture, convergence and possible persistent structural states. The question initially termed “Friemann” is formalised as an operational triad constituted by three complementary domains: Friedmann, associated with cosmological dynamics and the expansion of the Universe; Feynman, associated with quantum physics, amplitudes, particle conjugation and transduction between states; and Riemann, associated with the mathematical structure of the midpoint 1/21/21/2, involutions and the distribution of the non-trivial zeros of the zeta function. The proposal does not identify these three formulations as equivalent, nor does it establish a physical identity between them. The objective is to construct a common operational space in which different scales may be investigated by means of the same structural logic. In the cosmological domain the architecture allows investigation of the relation between initial conditions of asymmetry, expansion and the generation of matter–antimatter asymmetries. In the quantum domain it allows organisation of conjugation trajectories, amplitudes and matter and antimatter states. In the mathematical domain it allows treatment of the point 1/21/21/2 as the centre of an involution and computational investigation of structures associated with the symmetry of the zeta function. The formulation is presented as a testable mathematical–computational programme. The relations between ddd, CP violation, baryon asymmetry and cosmological dynamics are not assumed as established identities. They constitute relations to be explicitly modelled, calculated and confronted with results and observations. KeywordsPrimitive Architecture; Transduction; Latency Space; Parallel Computation; Friedmann; Feynman; Riemann; matter–antimatter; symmetry; CP; baryon asymmetry; zeta function; midpoint (1/2); Transductive Funnel LanguageEnglish License suggestionCreative Commons Attribution 4.0 International (CC BY 4.0)