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Scale Continuity and Informational Coupling in Quantum Informational Relativity

Adam Chakchaev

Published Nov 6, 2025• 0 citations
OpenAlex

Abstract

We present a concise technical clarification of the Quantum Informational Relativity (QIR) framework, deriving the explicit micro to macro transition of the informational modulation 𝑍 ( p), quantifying the limiting regimes, and formalizing the correspondence between the microscopic and cosmological coupling parameters.

Related papers

[Withdrawn] Draft

Chakchaev, Adam

We present a concise technical clarification of the Quantum Informational Relativity (QIR) framework, deriving the explicit micro to macro transition of the informational modulation 𝑍(𝑝ˆ), quantifying the limiting regimes, and formalizing the correspondencebetween the microscopic and cosmological coupling parameters.

•Nov 6, 2025•0 citations

The Universal Binding Operator: Cosmological Expansion as the Mechanism for Objective Reduction and the Endogenous DMT "Decoherence Shield"

EUGENE CATRAMBONE

This paper introduces a dynamical, field-theoretic solution to the "Measurement Problem" within the context of the Penrose-Hameroff Orch OR theory. While traditional models identify gravitational self-energy ($\Delta E$) as the threshold for wavefunction collapse, the specific environmental driver for this transition has remained elusive. We propose that the Cosmological Scale Factor $a(t)$ serves as the Universal Binding Operator, physically driving the transition from quantum-collective states to localized classical coordinates. Key contributions of this work include: The $R(t) \propto a(t)^{1/2}$ Scaling Law: A derivation showing that cosmological expansion forces "Substrate Detachment," providing a mechanical basis for objective reduction. The Awareness Tensor ($A_{\mu\nu}$): A model of informational viscosity that acts as a local resistance to the universal expansion-driven decoherence. Endogenous DMT as a Coupling Stabilizer: A neuropharmacological framework proposing that endogenous DMT surges increase microtubule coherence ($Q$), effectively "shielding" the brain's internal frame from the Hubble flow and stabilizing "timeless" non-dual states. Experimental Reconciliations: Application of the model to recent $26$-$\mu$g sapphire crystal experiments and the $10$ MHz vibrational triplets observed in microtubule lattices. This synthesis unifies the physics of the macro-scale (cosmology) with the micro-scale (tubulin aromatics), reframing consciousness as a biological struggle for substrate-attachment in an increasingly dissipative universe. This version integrates a unified field-theoretic derivation of the 10.5 MHz microtubule resonance anchor, formally linking the Objective Reduction (OR) threshold to the cosmological scaling law R(t) ~ a(t)^{1/2} and the stabilizing role of endogenous DMT This version introduces the Universal Binding Operator a(t) as a cosmological driver of objective reduction, deriving an explicit a(t)1/2a(t)1/2 scaling law and cosmologically modified OR timescales for microtubule coherence and DMT‑stabilized conscious states

•Dec 18, 2025•0 citations

MICRO-MACRO DUALITY AND EMERGENCE OF MACROSCOPIC LEVELS

IZUMI OJIMA

The mutual relation between quantum Micro and classical Macro is clarified by a unified formulation of instruments describing measurement processes and the associated amplification processes, from which some perspective towards a description of emergence processes of spacetime structure is suggested.

arXiv:0705.2945•Quantum Bio-Informatics•Mar 1, 2008•10 citations

Micro-Macro Duality and Emergence of

Macroscopic Levels

The mutual relation between quantum Micro and classical Macro is clarified by a unified formulation of instruments describing measurement processes and the associated amplification processes, from which some perspective towards a description of emergence processes of spacetime structure is suggested.

•Jan 1, 2007•0 citations

Curl-free vector potential observation on the macro-scale for charged particles in a magnetic field compared with that on the micro-scale: the Aharonov–Bohm effect

Ram K. Varma

The recently reported curl-free vector potential observation (Varma et al 2012 Eur. Phys. J. D 66 38) in relation to a system of charged particles in a magnetic field points to the existence of a new state of the electron—a quantum modulated state—which arises through a scattering-induced transition across Landau levels. This quantum modulated state has been shown to account for some very unusual effects on the macro-scale, which are distinct from the ones which can be understood in terms of a 'classical electron' and also from the ones which can be understood in terms of a 'quantum electron' on the micro-scale characterized by the Planck quantum. This quantum modulated state has been shown to account for the observation of a static curl-free vector potential on the macro-scale alluded to above, as well as other matter wave manifestations on the macro-scale. The macro-scale curl-free vector potential observation differs fundamentally from the corresponding micro-scale effect—the well-known Aharonov–Bohm effect. These two effects—on the macro-scale and the macro-scale—are compared and contrasted to each other here in their manner of detection of the static curl-free vector potential. Such a comparative study helps gain a deeper understanding of the nature of the quantum modulated state and the macro-scale matter wave it represents.

Physica Scripta•Oct 1, 2012•6 citations

The differential information-geometry of quantum phase transitions

Paolo Zanardi A, Paolo Giorda, Marco Cozzini

The manifold of coupling constants parametrizing a quantum Hamiltonian is equipped with a natural Riemannian metric with an operational distinguishability content. We argue that the singularities of this metric are in correspondence with the quantum phase transitions featured by the corresponding system. This approach provides a universal conceptual framework to study quantum critical phenomena which is differential-geometric and information-theoretic at the same time.

arXiv:quant-ph/0701061•Jan 11, 2007•2 citations
This paper introduces a dynamical, field-theoretic solution to the "Measurement Problem" within the context of the Penrose-Hameroff Orch OR theory. While traditional models identify gravitational self-energy (ΔE\Delta EΔE) as the threshold for wavefunction collapse, the specific environmental driver for this transition has remained elusive. We propose that the Cosmological Scale Factor a(t)a(t)a(t) serves as the Universal Binding Operator, physically driving the transition from quantum-collective states to localized classical coordinates. Key contributions of this work include: The R(t)∝a(t)1/2R(t) \propto a(t)^{1/2}R(t)∝a(t)1/2 Scaling Law: A derivation showing that cosmological expansion forces "Substrate Detachment," providing a mechanical basis for objective reduction. The Awareness Tensor (AμνA_{\mu\nu}Aμν​): A model of informational viscosity that acts as a local resistance to the universal expansion-driven decoherence. Endogenous DMT as a Coupling Stabilizer: A neuropharmacological framework proposing that endogenous DMT surges increase microtubule coherence (QQQ), effectively "shielding" the brain's internal frame from the Hubble flow and stabilizing "timeless" non-dual states. Experimental Reconciliations: Application of the model to recent 262626-μ\muμg sapphire crystal experiments and the 101010 MHz vibrational triplets observed in microtubule lattices. This synthesis unifies the physics of the macro-scale (cosmology) with the micro-scale (tubulin aromatics), reframing consciousness as a biological struggle for substrate-attachment in an increasingly dissipative universe. This version integrates a unified field-theoretic derivation of the 10.5 MHz microtubule resonance anchor, formally linking the Objective Reduction (OR) threshold to the cosmological scaling law R(t) ~ a(t)^{1/2} and the stabilizing role of endogenous DMT This version introduces the Universal Binding Operator a(t) as a cosmological driver of objective reduction, deriving an explicit a(t)1/2a(t)1/2 scaling law and cosmologically modified OR timescales for microtubule coherence and DMT‑stabilized conscious states
The recently reported curl-free vector potential observation (Varma et al 2012 Eur. Phys. J. D 66 38) in relation to a system of charged particles in a magnetic field points to the existence of a new state of the electron—a quantum modulated state—which arises through a scattering-induced transition across Landau levels. This quantum modulated state has been shown to account for some very unusual effects on the macro-scale, which are distinct from the ones which can be understood in terms of a 'classical electron' and also from the ones which can be understood in terms of a 'quantum electron' on the micro-scale characterized by the Planck quantum. This quantum modulated state has been shown to account for the observation of a static curl-free vector potential on the macro-scale alluded to above, as well as other matter wave manifestations on the macro-scale. The macro-scale curl-free vector potential observation differs fundamentally from the corresponding micro-scale effect—the well-known Aharonov–Bohm effect. These two effects—on the macro-scale and the macro-scale—are compared and contrasted to each other here in their manner of detection of the static curl-free vector potential. Such a comparative study helps gain a deeper understanding of the nature of the quantum modulated state and the macro-scale matter wave it represents.