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Reparameterizing Time as Propagation Index (Strata–Kairos Lens).

Robert Bobo Ostojić

Published Jan 4, 2026• 0 citations
Publisher

Abstract

This addendum proposes a conservative reframing for “the trouble with time”: replace linear time � with a monotonic propagation index � (“layer count”), with constant layer rate � (working estimate �). Using �, classical kinematics/dynamics and quantum evolution (Schrödinger equation) can be rewritten consistently without introducing exotic entities. The aim is to reduce paradoxes caused by treating “time” as primitive when observations are inherently propagation-limited and layered, and to provide a practical test-rewrite method for researchers across physics and computation.

DOI
10.5281/zenodo.18147450

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This addendum proposes a conservative reframing for “the trouble with time”: replace linear time � with a monotonic propagation index � (“layer count”), with constant layer rate � (working estimate �). Using �, classical kinematics/dynamics and quantum evolution (Schrödinger equation) can be rewritten consistently without introducing exotic entities. The aim is to reduce paradoxes caused by treating “time” as primitive when observations are inherently propagation-limited and layered, and to provide a practical test-rewrite method for researchers across physics and computation.
This addendum proposes a conservative reframing for “the trouble with time”: replace linear time � with a monotonic propagation index � (“layer count”), with constant layer rate � (working estimate �). Using �, classical kinematics/dynamics and quantum evolution (Schrödinger equation) can be rewritten consistently without introducing exotic entities. The aim is to reduce paradoxes caused by treating “time” as primitive when observations are inherently propagation-limited and layered, and to provide a practical test-rewrite method for researchers across physics and computation.
STRATA–KAIROS PHYSICS Abstract Strata–Kairos Physics proposes a propagation-centered reformulation of physical law. Ordered strata replace time as the primary organizing parameter. The framework preserves Hamiltonian structure, conservation laws, and empirical adequacy while resolving interpretational paradoxes tied to time-based formulations. Core Principle Physical reality unfolds through ordered propagation (Kairos), not through an external clock. Space, causality, and dynamics emerge from constraint-governed reconfiguration across strata. Mathematical Basis Time derivatives are replaced by propagation-order derivatives. Hamiltonian dynamics, action principles, and angular momentum conservation remain intact. Implications The framework unifies classical mechanics, quantum phenomena, and chaotic systems under a single propagation-based ontology.
STRATA–KAIROS PHYSICS Submission-Ready Conceptual Framework Abstract Strata–Kairos Physics proposes a propagation-centered reformulation of physical law. Ordered strata replace time as the primary organizing parameter. The framework preserves Hamiltonian structure, conservation laws, and empirical adequacy while resolving interpretational paradoxes tied to time-based formulations. Core Principle Physical reality unfolds through ordered propagation (Kairos), not through an external clock. Space, causality, and dynamics emerge from constraint-governed reconfiguration across strata. Mathematical Basis Time derivatives are replaced by propagation-order derivatives. Hamiltonian dynamics, action principles, and angular momentum conservation remain intact. Implications The framework unifies classical mechanics, quantum phenomena, and chaotic systems under a single propagation-based ontology.
Standard quantum mechanics parameterizes state evolution by external laboratory time t (e.g., via the Schrödinger equation). This preprint introduces an internal time τ as the primary evolution parameter and defines a clock-rate field χ = dt/dτ that maps internal evolution to laboratory time. The framework reformulates quantum dynamics (and bound-state QED contexts) under τ, treating t as a derived, observer-dependent coordinate rather than a fundamental primitive. Crucially, this work functions as a universal translation layer: in principle, any past or future QM/QED experiment can be re-expressed in τ, enabling direct, dataset-level comparison of whether empirical structure organizes more fundamentally under τ than under t.
A cluster of problems — the “quantum mechanical measurement problem”, the “problem of the reduction of the wave packet”, the “problem of the actualization of potentialities,” and the “Schrödinger Cat problem” — are raised by standard quantum dynamics when certain assumptions are made about the interpretation of the quantum mechanical formalism. Investigators who are unwilling to abandon these assumptions will be motivated to propose modifications of the quantum formalism. Among these, many (including Professor Ghirardi and Professor Pearle) have felt that the most promising locus of modification is quantum dynamics, and in their presentations (this Volume) they have suggested stochastic modifications of the standard deterministic and linear evolution of the quantum state.