IPI Letters

Information-Processing Invariance

Renato Babac — Fri, 20 Feb 2026 00:00:00 +0300

This paper proposes a unified theoretical framework that bridges quantum information theory and relativistic physics through a new Invariance Law of Spacetime. We introduce the Total Information Budget (χ), defined as the product of informational mass (m), system update rate (ν), and spatial information flux (L). By synthesizing this postulate with Einstein’s energy-mass equivalence (E = m · c²), we derive the invariant relationship c² = ν · L. This equation reveals c² to be the specific processing capacity of the vacuum, a fundamental constant that dictates a zero-sum trade-off between temporal resolution and spatial rendering. We validate this model using Planck-scale limits, demonstrating that at the saturation point of reality, the product
of the Planck frequency and the minimum spatial flux (c · l_p) converges precisely to c². Our findings provide a computational foundation for mass-energy equivalence and offer a novel interpretation of spacetime as a self-rendering informational system. This framework aligns with Vopson’s mass-energy-information equivalence principle and provides new insights into the informational nature of gravitational and temporal phenomena.

The Cosmic Ledger: A Thermodynamic Mechanism for Gravity and the Hubble Tension

Cody Hudock — Fri, 20 Feb 2026 00:00:00 +0300

Dr. Melvin Vopson has proposed that gravity acts as a data compression mechanism within the framework of the Second Law of Infodynamics. We propose a speculative conceptual framework that augments this theory, suggesting that gravitational compression is a thermodynamic necessity dictated by the Law of Conservation of Energy. We introduce the Symbiotic Infodynamic Equilibrium (SIE) model, a qualitative hypothesis where the energy required for entropic State Realization (Sr) is offset by the compression of spatial informational mass. While Vopson’s original Second Law identifies information as a likely candidate for Dark Matter, it currently does not account for the accelerating expansion of the universe (Dark Energy). The SIE
model attempts to address this by introducing an inverse relationship: in cosmic voids where information density is negligible, the conservation of energy necessitates spatial decompression. This mechanism offers a potential thermodynamic derivation for Dark Energy and a novel, density-dependent perspective on the Hubble Tension. While Vopson’s original Second Law identifies information as a likely candidate for Dark Matter (mass accumulation), it currently does not account for the accelerating expansion of the universe (Dark Energy). The SIE model resolves this by introducing an inverse relationship: in cosmic voids where information density is negligible, the conservation of energy necessitates spatial decompression. This mechanism provides a thermodynamic derivation for Dark Energy and offers a novel, density-dependent resolution to the Hubble Tension.

Gravitational Signatures of Biological Information: A Proposed Testing Framework for the Mass-Energy-Information Equivalence Principle

Riam Daou — Tue, 24 Feb 2026 00:00:00 +0300

The precise physical nature of information remains an open wound on the side of modern physics. While often treated as an abstract mathematical quantity, recent developments in the Mass-Energy-Information Equivalence Principle argue for a more material interpretation: that information carries finite mass. Parallel to this, the field of quantum biology has long wrestled with the possibility of macroscopic coherent states within living systems, most notably through the Orchestrated Objective Reduction hypothesis. This article offers a perspective that attempts to weld these two speculative frameworks into a single, testable prediction. We explore the speculative hypothesis that if biological systems indeed sustain macroscopic quantum coherence, their eventual decoherence must—according to information conservation principles—result in a physical mass
defect. Unlike thermal dissipation, which is diffusive and slow, this ”information crash” should theoretically release a sharp, gravitationally detectable transient. Here, we outline the constraints of such an event and propose a conceptual protocol using near-field atom interferometry to isolate this signal from the thermal background. The goal of this perspective is to move the debate on biological information from philosophy into the realm of falsifiable experimental physics.

Erratum: Holographic Information Rate as a Resolution to Contemporary Cosmological Tensions

Bryce Weiner — Tue, 10 Feb 2026 00:00:00 +0300

An error in the numerical calculation of the universal information processing rate γ has been identified in the above paper and in two related works: “E-mode Polarization Phase Transitions Reveal a Fundamental Parameter of the Universe” [1 ] and “Destroying the Multiverse: Entropy Mechanics in Causal Diamonds” [ 2]. This erratum provides the corrected derivation and numerical values, explains the source of the error, and confirms that the theoretical frameworks and their principal conclusions remain valid.

A Thermodynamic Foundation for the Second Law of Infodynamics

Ian Todd — Wed, 21 Jan 2026 00:00:00 +0300

Vopson and Lepadatu’s “second law of infodynamics” proposes that the information entropy of physical systems decreases over time, with high-symmetry states representing minimum information entropy. We interpret this information entropy as structure-information: the relative entropy Istruct = DKL(p∥piso) measuring a distribution’s departure from isotropic equilibrium. This paper provides a thermodynamic mechanism for the decrease of structure-information. We derive a bound showing that maintaining a low-dimensional (asymmetric) state requires continuous work input with two components: an informational term and a geometric contraction term governed by the Jacobian of the projection map. Without this work, systems relax toward high-symmetry equilibrium where Istruct → 0. The second law of infodynamics thus emerges from a
thermodynamic asymmetry: symmetric states require no work to maintain, while asymmetric states are thermodynamically costly. This does not contradict the second law of thermodynamics—thermodynamic entropy increases in the bath precisely because structure-information is being dissipated.

Computational Complexity of Determining the Assembly Index

Piotr Masierak — Wed, 21 Jan 2026 00:00:00 +0300

The assembly index of assembly theory quantifies the minimal number of composition steps required to construct an object from elementary components. The study proves that the decision version of the assembly index problem is NP-complete, through an explicit correspondence between assembly plans and straight-line grammars. This correspondence implies that the optimization version of the assembly index problem inherits NP- and APX-hardness from the classical smallest grammar problem. The study provides complete, self-contained proofs for both decision and optimization variants of the assembly index problem. These results establish that computing or approximating the assembly index is computationally intractable, placing it within the same complexity class as grammar-based compression.

Grid Physics: The Geometric Unification of Fundamental Interactions via Vacuum Impedance

Pavel Popov — Wed, 21 Jan 2026 00:00:00 +0300

Recent proposals in Information Physics posit that the physical universe may be modeled as a discrete computational substrate. We present Grid Physics, a framework exploring the hypothesis that spacetime acts as a Face-Centered Cubic (FCC) information lattice governed by the Principle of Computational Optimization (ΣK → min). Unlike standard models dependent on arbitrary fitting, we demonstrate that fundamental physical constants can be interpreted as emergent geometric impedances of this discrete vacuum. Specifically: a) Proton-to-Electron Mass Ratio (μ ≈ 6π5) and the Fine-Structure Constant (α−1 ≈ 137.036) are modeled as intrinsic geometric properties of the lattice interface; b) We define the ”Entropic Impedance Factor” (γsys ≈ 1.0418)—numerically consistent with the Proton Radius Anomaly—as the information entropy loss inherent in
projecting continuous spherical symmetries onto a discrete grid; c) We show that atomic nuclei can be modeled as crystalline clusters of Alpha-particles, yielding binding energy predictions with > 99.9% correlation to experimental data; d) We propose that Superconductivity in condensed matter (e.g., Twisted Bilayer Graphene) represents a state of Geometric Resonance (N/137) between the material lattice and the vacuum impedance. This framework suggests that physical laws may be viewed as runtime optimization protocols of a discrete system, offering a unified geometric perspective on mass, nuclear stability, and conductivity consistent with the Mass-Energy-Information Equivalence principle.

Parity-Sector Signatures in Ultraweak Photon Emission from Driven-Dissipative Majorana Spin Systems

Trevor Nestor — Wed, 18 Feb 2026 00:00:00 +0300

We present a minimal driven–dissipative model in which a long-lived spin-correlated fermionic subspace is represented by Majorana operators and a Z₂ parity, and couples to the electromagnetic field through dipolar and spin–orbit–assisted interactions. Parity-sensitive relaxation channels imprint the internal sector onto emitted photons, producing polarization- and helicity-resolved structure beyond generic luminescence. Using a Lindblad master equation with periodic modulation, we perform numerical simulations and compute polarization-resolved emission spectra, Floquet sidebands, and photon correlations g⁽²⁾(τ). The model predicts magnetic-field-dependent polarization asymmetries, drive-locked sidebands, and polarization cross-correlators accessible with polarization-resolved Hanbury Brown–Twiss detection. These signatures provide falsifiable discriminants for assessing whether Majorana-parity dynamics can contribute to reported ultraweak photon emission.

Mythos and Logos as Dual Reflections of the Universal Model Framework

Marco Gericke — Tue, 10 Feb 2026 00:00:00 +0300

The Universal Model Framework (UMF) proposes that science and spirituality emerge as complementary projections of a single informational substrate structured by prime-indexed fractal geometry. This communication interprets Mythos (intuitive, semantic cognition) and Logos (analytic, syntactic cognition) as phase-conjugate modes differing by ±π, analogous to quadrature components of a complex field. This duality maps directly onto the UMF effective Lagrangian: gauge field terms encode syntactic structure (Logos) while information field gradients encode semantic content (Mythos). Drawing on G ¨odelian incompleteness—wherein no formal system captures all truths about itself — we suggest that neither projection alone exhausts the substrate. The framework remains an interpretive proposal; internal validation protocols report preliminary
success, but independent confirmation is required before stronger claims can be made.

General Thoughts Regarding Prof Bernard Carr’s FQxI Podcast With Zeeya Merali

Rodney Bartlett — Fri, 13 Feb 2026 00:00:00 +0300

Apparently, reconciliation of physics and the psychic needs a revolutionary theory which physically unites everything in space with everything in every period of time. On page 157 of his book ”The Mind of God”, physicist Paul Davies says, ”The fall of an apple on Earth is affected by, and in turn reacts upon, the position of the moon.” The effect is tiny and can be ignored for practical purposes - but it does exist and can’t be overlooked if science is serious about discovering ultimate truth. In the same way, there is a tiny effect between the thoughts of any two beings, between the present and the future, as well as between humans on Earth and a planet so distant that it has no measurable gravitational influence on us. In other words, the unification of all space-time produces the potential for telepathy, precognition, and scientific astrology. This Communication
also refers to Hawking radiation possibly being re-named Einstein-Hawking radiation, and - thanks to binary digits, topology, space-filling fractals, and computer art’s Sky Replacement process - the Big Bang having run its course and being retired (with honours).