Essay Review: Waves, Information, and Foundations of Physics

Claudio Garola

Syed Muntasir Mamun

K SC This paper presents a detailed anatomical review of Roger Balian's 2005 tutorial essay "Information in statistical physics" (arXiv:cond-mat/0501322). Balian systematically reconstructs the foundations of quantum statistical mechanics from the dual premises of incomplete controllability of microscopic variables and the maximisation of von Neumann entropy under linear constraints. The central conceptual innovation is the notion of relevant entropy associated with a chosen set of relevant observables; irreversibility then appears as an irreversible leakage of information from relevant into irrelevant degrees of freedom. The review dissects the argument section by section, enumerates strengths and limitations, situates the framework against at least ten competing information-theoretic and thermodynamic models (Jaynes MaxEnt, Boltzmann H-theorem, Tsallis and Rényi entropies, quantum Darwinism, eigenstate thermalisation, stochastic thermodynamics, resource theories, maximum caliber, consistent histories, and algorithmic information), and examines the ontological and epistemological verticals that underwrite the evolution of the central themes. Possible extensions toward open quantum systems, quantum information thermodynamics, and algorithmic randomness are indicated. Also available on Academia.edu: https://www.academia.edu/attachments/133857939/download_file?s=portfolio

Syed Muntasir Mamun

This paper undertakes an anatomical review of J. Harlow's LinkedIn essay of 25 September 2026, which poses the question why one should privilege John von Neumann's Mathematische Grundlagen der Quantenmechanik (1932; English 1949/1955) over P. A. M. Dirac's The Principles of Quantum Mechanics (1930 and later editions). The source text constructs a binary lineage: a Dirac–Jordan 'continuum tradition' of amplitudes, delta functions and infinitesimal smoothness, versus a von Neumann–Wigner–Turing–Bardeen 'finite-state' operator tradition alleged to underwrite semiconductor physics, BCS theory and even ASML lithography. The review reconstructs the essay's claims, rhetoric and tacit epistemology; compares them with the actual mathematical relationship between Dirac calculus and Hilbert-space operator theory; and contrasts both with the leading contemporary accounts of measurement, representation and emergence—Copenhagen hybrids, decoherence and einselection, Everett, de Broglie–Bohm, objective-collapse models, QBism and relational views, consistent histories, algebraic quantum field theory, information-theoretic reconstructions, and discrete spacetime or quantum-automaton programmes. The principal finding is that the essay's dichotomy is historically suggestive but technically overstated. Also available on Academia.edu: https://www.academia.edu/attachments/134519177/download_file?s=portfolio

Antonio Saggion H, Rossella Faraldo, Matteo Pierno

Salah aldin Ahmad Lavasani

Abstract Since the dawn of human consciousness, questions of existence, choice, and causality have fascinated philosophers and scientists alike. The Lavasani 365 Model, composed of interconnected essays, seeks to explore the complex interplay between physical substrate, dark intelligence, and perceivers of reality. This sixth essay, “The Geometry of Choice,” presents a framework in which reality emerges not solely from matter or energy but through the interaction of three foundational elements: the physical substrate, an informational framework called Dark Intelligence, and the network of receivers from fundamental particles to human consciousness. In this model, choice and free will are relative, information-driven processes, dependent on the receiver's capacity to filter and interpret the infinite potentialities inherent in the universe. By integrating contemporary physics, quantum observation effects, and philosophical inquiry, the essay offers a coherent, yet humble and relativistic, view of causality, free will, and the nature of existence. Keywords/Tags: #Lavasani365 #DarkIntelligence #QuantumConsciousness #RelativeCausality #ChoiceGeometry #Cosmology #PhilosophyOfMind #InformationUniverse #ObserverEffect #MetaphysicalScience #ExistentialPhysics

Enrico G. Beltrametti