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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Extended Classical Mechanics (ECM): A Deterministic Phase-Indexed Cosmology and Kernel-Based Grand Unification Framework

Authors: Thakur, Soumendra Nath;

Extended Classical Mechanics (ECM): A Deterministic Phase-Indexed Cosmology and Kernel-Based Grand Unification Framework

Abstract

This paper introduces Extended Classical Mechanics (ECM), a deterministic emergence cosmology framework formulated on phase-frequency kernel ontology. The study proposes that universal structure, including matter, energy, spacetime projection, and gravitational response, may emerge from an underlying oscillatory existential field rather than from curvature-dominated geometric foundations. The ECM framework models primordial existence as a pre-geometric kernel vibration manifold characterized by phase-amplitude functional dynamics. Cosmogenesis is interpreted as a continuous deterministic transition from latent potential domain to manifested structural reality through gradient relaxation of kernel excitation fields. Core theoretical constructs include energy–frequency manifestation duality, mediating mass structure, finite universe manifold hypothesis, and attractor equilibrium closure of phase-energy functional systems. Gravitational interaction is reformulated as projection-response geometry arising from residual phase potential gradients. The model emphasizes sub-Planck scale emergence physics, where spatial and temporal metrics are treated as projection phenomena rather than fundamental ontological primitives. In this regime, superluminal initial transformation behaviour is interpreted as domain-internal phase redistribution rather than conventional spacetime signal propagation. The objective of ECM is to provide a conceptual deterministic framework for exploring universal origin structure, cosmic evolution ordering, and kernel-based grand unification synthesis within an existence-first theoretical paradigm.

Keywords

kernel cosmology, finite universe hypothesis, phase-frequency ontology, gravitational projection response, deterministic emergence, pre-geometric physics, Extended Classical Mechanics

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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
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