Reinterpreting the Absolute and Ether: Historical Evolution, Quantum Field Substrates, and Implications for Entanglement and Foundational Physics (Vol-I)
Modern physics, grounded in quantum field theory (QFT) and general relativity, describes reality through fields, symmetries, and interactions without invoking classical mechanical substrates. Yet ontological questions persist regarding the underlying "ground" of these fields. This article examines a refined proposal that reinterprets the absolute as a meta-level generative condition for physical laws and the ether as a continuous, dynamic field substrate—aligning with contemporary theory while avoiding empirical contradictions. Drawing on the historical evolution of the ether concept from Aristotelian cosmology to the luminiferous aether of the 19th century and its apparent demise, the analysis integrates quantum implications, including the vacuum structure, measurement perturbations, and non-local correlations in entanglement. Far from a regression, this framework offers a unified ontological layer beneath existing equations, with nuances explored across classical, relativistic, and quantum perspectives. Potential implications for a theory of everything, cosmology, and philosophy of science are considered, alongside edge cases such as preferred frames and hidden variables. Mamun, SM (2026)………………………………………1 Reinterpreting the Absolute and Ether: Historical Evolution, Quantum Field Substrates, and Implications for Entanglement and Foundational Physics (Vol-I) Also available on Academia.edu: https://www.academia.edu/attachments/132227622/download_file?s=portfolio
Modern physics, grounded in quantum field theory (QFT) and general relativity, describes reality through fields, symmetries, and interactions without invoking classical mechanical substrates. Yet ontological questions persist regarding the underlying "ground" of these fields. This article examines a refined proposal that reinterprets the absolute as a meta-level generative condition for physical laws and the ether as a continuous, dynamic field substrate—aligning with contemporary theory while avoiding empirical contradictions. Drawing on the historical evolution of the ether concept from Aristotelian cosmology to the luminiferous aether of the 19th century and its apparent demise, the analysis integrates quantum implications, including the vacuum structure, measurement perturbations, and non-local correlations in entanglement. Far from a regression, this framework offers a unified ontological layer beneath existing equations, with nuances explored across classical, relativistic, and quantum perspectives. Potential implications for a theory of everything, cosmology, and philosophy of science are considered, alongside edge cases such as preferred frames and hidden variables. Mamun, SM (2026)………………………………………1 Reinterpreting the Absolute and Ether: Historical Evolution, Quantum Field Substrates, and Implications for Entanglement and Foundational Physics (Vol-I) Also available on Academia.edu: https://www.academia.edu/attachments/132227622/download_file?s=portfolio
The measurement problem remains one of the most profound foundational issues in quantum mechanics. While the theory excels at predicting probabilities of measurement outcomes via the Schrödinger equation and the Born rule, it fails to provide a consistent, unitary description of the measurement process itself. This paper offers a comprehensive teaching-oriented review: it traces the historical development from the 1920s Copenhagen formulation through Schrödinger's cat paradox, examines the core mathematical and conceptual questions, analyses major interpretations (with a detailed exposition of the Many-Worlds Interpretation and an expanded treatment of decoherence theory), discusses Bell's theorem and its experimental tests, surveys contemporary trends as of 2025–2026 (including quantum computing implications), and evaluates the quantum-to-classical transition. The analysis highlights that the problem is not merely philosophical but has direct implications for quantum technologies, macroscopic superpositions, and our understanding of reality. No single interpretation is endorsed; instead, strengths, limitations, and open questions of each are presented to equip readers with a clear conceptual map. Mamun, SM (2026)……………………………………..1 The Quantum Measurement Problem: Historical Evolution, Fundamental Questions, Interpretations, Bell Tests, and Current Trends (Vol - I) Also available on Academia.edu: https://www.academia.edu/attachments/132618367/download_file?s=portfolio
This report examines the ontological foundations of quantum mechanics, challenging the notion that geometric space and classical subsystems are primordial axioms of nature. By integrating algebraic quantum mechanics, quantum mereology, discrete homology, and topos theory, the study demonstrates that these features emerge dynamically from purely quantum mechanical precursors. The synthesis utilizes the Gelfand-Naimark-Segal (GNS) construction to derive geometric Hilbert spaces from abstract algebraic relations, effectively relegating the Hilbert space to a derived and contingent structure rather than a fundamental one. The research further employs a "basic shapes" paradigm in discrete homology to efficiently compute the higher-order structures of complex networks, bypassing the exponential computational bottlenecks traditionally associated with high-dimensional topological analysis. By identifying a minimal universal set of atomic configurations, such as the triangular prism or the discrete hypercube, the dimensionality of the boundary matrix is collapsed, achieving median speedups of 47.5x over previous algorithms. KSCCN Mamun, SM (2026) ………………………………….1 Algebraic, Topological, and Mereological Foundations of Quantum Information: A Synthetic Framework for Emergent Geometry, Computational Physics, and Cosmology K S C Furthermore, the report establishes a link between subatomic gauge symmetries and cosmological dark energy through the Axion-Modulated Quintessence framework. Also available on Academia.edu: https://www.academia.edu/attachments/133038377/download_file?s=portfolio
Hilbert spaces, introduced in the early twentieth century as infinite-dimensional generalisations of Euclidean space, provide the rigorous mathematical framework for quantum mechanics and numerous applied disciplines. This paper offers a comprehensive examination of their historical development, axiomatic structure, and multifaceted applications, with particular emphasis on their foundational role in quantum mechanics. We then connect these structures to quantum information geometry, where the (projective) Hilbert space is endowed with natural Riemannian metrics—most notably the Fubini–Study metric for pure states and the Bures metric for mixed states—that quantify statistical distinguishability, parameter estimation precision, and geometric phases. By exploring classical information geometry as a precursor and highlighting quantum extensions, we illustrate how Hilbert-space geometry reveals deep insights into quantum phase transitions, metrology, and quantum technologies. Nuances such as separability, rigged Hilbert spaces for continuous spectra, and infinite-dimensional subtleties are addressed, alongside implications for machine learning via reproducing kernel Hilbert spaces (RKHS) and beyond. The analysis underscores the enduring interplay between pure mathematics and quantum physics. Mamun, SM (2026) …………………………………..1 Hilbert Spaces: Foundations, Applications, and Geometric Connections to Quantum Information Theory (Vol-I) Also available on Academia.edu: https://www.academia.edu/attachments/132277960/download_file?s=portfolio
This paper reinterprets the triaxial positioning of fundamental physics as described in Mamun (2026), shifting from a linear coordinate framework to fractal geometric concepts. The current positioning of quantum mechanics thoughts, approximated at (0.7, 0.6, 0.4) across quantum, relativistic, and classical axes, is reconceptualised through fractal dimensions, self-similarity, and scale invariance, drawing on existing literature. We evaluate whether fractals can assess verticals—interpreted as specialised domains—in quantum mechanical enquiries, with a focus on Hamiltonian space where chaotic dynamics yield fractal structures. Speculations on future possibilities suggest fractals may bridge quantum realms with gravity and complexity, fostering unified theories. References are drawn from key works in fractal quantum mechanics. Mamun, SM (2026)……………………………………….1 Fractal Reinterpretation of Quantum Mechanics Positioning: Implications for Hamiltonian Space and Future Quantum Realms (Intro: Vol-II) Also available on Academia.edu: https://www.academia.edu/attachments/131513458/download_file?s=portfolio
This comprehensive interdisciplinary investigation synthesizes six foundational domains in modern physics and computer science: quantum vacuum dynamics, quantum measurement theory, binary computation architecture, artificial intelligence evolution, relativistic temporal structure, and quantum entanglement phenomena. Quantum vacuum—far from representing absolute emptiness—exhibits continuous zero-point energy fluctuations generating virtual particle-antiparticle pairs via Heisenberg uncertainty principle, with Casimir effect providing experimental verification through measurable attractive force (F/A = -ℏcπ²/240d⁴) between conducting plates. Schrödinger's cat paradox illustrates quantum superposition collapse upon measurement, revealing observer-dependent reality contradicting classical determinism and motivating interpretational frameworks including Copenhagen collapse, many-worlds branching, and decoherence mechanisms. Binary computation architecture—utilizing base-2 representation (0,1 states)—exploits transistor switching characteristics enabling universal information encoding, with von Neumann architecture establishing stored-program paradigm foundational to modern computing. Artificial intelligence evolved from Turing's universal computation and symbolic reasoning systems through connectionist neural networks to contemporary deep learning architectures achieving superhuman performance in pattern recognition, natural language processing, and strategic game-playing domains. Einstein's special relativity demonstrates temporal relativity through velocity-dependent time dilation (τ = τ₀√(1-v²/c²)) and general relativity's gravitational time dilation near massive objects, with GPS satellite corrections providing daily experimental confirmation. Quantum entanglement—non-local correlation between spatially separated particles violating Bell inequalities—enables quantum information protocols including quantum cryptography, quantum teleportation, and quantum computation while challenging classical notions of locality and realism. The synthesis reveals deep connections: quantum vacuum provides cosmological initial conditions for universal genesis; measurement problem connects consciousness to physical reality; binary architecture enables AI substrate; relativistic effects constrain information transmission; and entanglement enables novel computational paradigms transcending classical limits.
This comprehensive review dissects the profound philosophical tension at the core of quantum foundations: the ontological status of the Hilbert space formalism versus the abstract algebra of observables. Focusing on the Gelfand-Naimark-Segal (GNS) construction, the paper first establishes this theorem as the foundational mathematical bridge that uniquely derives a geometric Hilbert space representation from any given C*-algebra of observables and a specified physical state. The analysis then evaluates the interpretational crisis presented by the existence of unitarily inequivalent representations (UIRs) in infinite quantum systems, which challenges the ideal of a single, universal quantum state space. By comparing Algebraic Imperialism (Algebraic Quantum Field Theory) with highly sophisticated realist programs, the paper details the radical objectification of the Hilbert space. Specifically, it contrasts Wavefunction Realism (WFR), which posits a physically real field in a high-dimensional configuration space, with the minimalist ontology of Hilbert Space Realism (HSR), or "Mad-Dog Everettianism". Also available on Academia.edu: https://www.academia.edu/attachments/132963048/download_file?s=portfolio