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[4] ai.viXra.org:2509.0040 [pdf] submitted on 2025-09-14 15:25:36
Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 42 Pages.
This paper develops a rigorous mathematical and metaphysical framework for the geometry of the soul, unifying philosophical insights with analytic structures from modern physics. The central thesis is that consciousness, or the soul, may be modeled as a differentiable manifold endowed with Riemannian and symplecticstructures, where tangent perceptual spaces represent localized modes of awareness.Within this framework, electroencephalographic rhythms are formulated as dynamical eigenmodes on the manifold, curvature invariants are linked to states of awareness, and Dirac delta functionals formalize the localized observer at the Bhrukti. Theoretical extensions employ Hilbert space tensor products with spacetime, gaugetheoretic formulations of attention, Friedmann—Robertson—Walker-type inner cosmologies of consciousness, and fiber bundle constructions over worldlines. Nonassociativealgebras such as sedenions and trigentions provide higher-dimensional embeddings for the relation between soul and God, while the micro—mini—black—hole hypothesis is introduced as a structural interface between immaterial consciousness and neurobiological processes. Thermodynamic analogies, including entropy, freeenergy, and dharmic ground states, are integrated with information-theoretic andtopological measures such as Chern classes, homotopy groups, and curvature entropies.The unifying proposal is that liberation or moksha corresponds to topologicaltrivialization and entropy minimization within this formalism. The study thus provides a multi-layered mathematical cosmology of the soul, embedding neuroscientific data, quantum structures, and metaphysical doctrines within a coherent symbolic and analytic geometry.
Category: General Science and Philosophy
[3] ai.viXra.org:2509.0026 [pdf] submitted on 2025-09-10 01:51:38
Authors: Hamid Javanbakht
Comments: 13 Pages.
This paper develops a new connection between algebraic geometry and theoretical linguistics by modeling token embeddings in large language models as singular algebraic varieties. While embeddings are often assumed to form smooth vector spaces, empirical evidence shows they exhibit singularities: polysemy collapses distinct meanings into a single representation, adversarial perturbations expose fragile semantic boundaries, and contextual shifts produce discontinuities. We propose that embeddings be studied within the framework of pre-Calabi—Yau algebras, which admit singular loci and partial dualities. In this setting, the classical method of resolution of singularities provides a principled mechanism for word sense disambiguation: blow-ups replace collapsed meanings with exceptional divisors that encode semantic branches. Further, analogies with supersingular varieties suggest a cryptographic dimension, where extreme degeneracies serve as obfuscation channels and resolutions act as decryption keys. By combining algebraic geometry, categorical logic, and computational linguistics, this work advances a stratified view of semantics that reframes ambiguity as structure and opens new pathways for robust, interpretable, and cryptographically informed language models.
Category: General Science and Philosophy
[2] ai.viXra.org:2509.0018 [pdf] submitted on 2025-09-09 02:17:09
Authors: Yue Liu
Comments: 8 Pages.
The introduction of Springer Nature's automated screening tool for detecting AI-generated "tortured phrases" represents yet another troubling step toward mechanizing scientific research evaluation, echoing the same problematic approach taken by the Science Citation Index (SCI). This development exemplifies how the academic publishing industry continues to prioritize machine-driven assessment over human intellectual judgment, ultimately stifling genuine scientific inquiry in the name of efficiency and "rightness."
Category: General Science and Philosophy
[1] ai.viXra.org:2509.0016 [pdf] submitted on 2025-09-07 16:37:31
Authors: Yue Liu
Comments: 12 Pages.
This paper examines the pervasive culture of academic conformity and systematic resistance to critical discourse in contemporary science, using the ongoing disputes in microwave absorption theory as a paradigmatic case study. Through analysis of publication patterns, peer review practices, and institutional responses to theoretical challenges, we reveal a deeply entrenched system that prioritizes authority and consensus over rigorous scientific inquiry. The study demonstrates how legitimate theoretical corrections and critical analyses are systematically suppressed through editorial gatekeeping, reviewer bias, and institutional pressure, creating what we term "academic silence zones" where fundamental problems remain unaddressed. We argue that this phenomenon represents a crisis that undermines the foundational principles of scientific progress and threatens the integrity of knowledge production. The findings suggest that the current academic system has evolved into what Feynman termed "cargo cult science", where the forms of scientific practice are maintained while the essential spirit of critical inquiry is abandoned.
Category: General Science and Philosophy