Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Research . 2026
License: CC BY
Data sources: Datacite
ZENODO
Research . 2026
License: CC BY
Data sources: Datacite
ZENODO
Research . 2026
License: CC BY
Data sources: Datacite
versions View all 3 versions
addClaim

On the Variational Principle of Information: A Mathematical Derivation of Gravity and Collapse from Geometric Constraints

Authors: Kozyra, Rainer;

On the Variational Principle of Information: A Mathematical Derivation of Gravity and Collapse from Geometric Constraints

Abstract

Building on the frameworks established in On the Physical Consequences of Distinguishability and On the Stability and Collapse of Physical Information, this paper derives quantum state collapse and Einstein field equations from a single variational principle incorporating a holographic information constraint. Following Jacobson’s thermodynamic approach to gravity, I propose that representational capacity — quantified by the Bekenstein bound — constrains both geometric and quantum dynamics. The constraint is formalized using Kolmogorov complexity: quantum states satisfy K(ψ) ≤ Imax(g), where K(ψ) denotes the minimal algorithmic description length. Varying a total action under this constraint yields Einstein equations with an additional stress-energy contribution from information overflow, and a modified Schrödinger equation with a collapse term proportional to excess complexity. The collapse rate emerges as Γ = (c/R) · max(0, K(ψ) − Imax)/Imax, containing no free parameters. This framework suggests quantum collapse and gravitational curvature represent complementary responses to holographic saturation: energy excess induces curvature, information excess induces collapse. The approach makes testable predictions for interference visibility decay as a function of entanglement depth, distinguishable from existing objective collapse models.

Keywords

Quantum physics, Information Theory, Physical cosmology, Theoretical physics

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!