The
Foundations of Extended Classical Mechanics (ECM)
Soumendra Nath Thakur, Tagore's
Electronic Lab, India.
February 07, 2025
Extended Classical Mechanics (ECM) builds upon the
established principles of Newtonian, Lagrangian, and
Hamiltonian mechanics, seeking to extend their applicability beyond the
traditional boundaries of classical physics. ECM aims to address limitations
encountered at quantum scales, relativistic speeds, and within complex
astrophysical systems, such as those involving strong gravitational fields.
A central innovation of ECM is the introduction of
apparent mass (Mᵃᵖᵖ) and effective mass (Mᵉᶠᶠ). These concepts provide a framework for
incorporating the influence of phenomena like dark matter and dark energy into
gravitational dynamics. Apparent mass,
derived from the fundamental relationship F=ma, is extended in ECM to account
for observed cosmological effects, bridging classical mechanics with modern
astrophysical observations. Effective
mass, related to apparent mass, further refines this description, offering a
more nuanced understanding of gravitational interactions.
ECM also offers a novel perspective on photon dynamics. While
respecting the classical principles of energy conservation, ECM considers the
interaction of photons with gravitational fields. It proposes that photons, while maintaining
their intrinsic energy (E), dynamically exchange gravitational interactional
energy (Eg) with the field during their trajectory. This
approach suggests a deeper connection between classical mechanics and the
behaviour of light in the cosmos.
By integrating classical mechanics with modern
astrophysical observations through the concepts of apparent and effective mass,
ECM offers a new lens through which to explore the universe. This framework not only honours the
foundations of classical physics but also embraces the complexities revealed by
contemporary scientific inquiry, opening up new avenues for research.
Reference Papers:
1.
Thakur,
S. N. (2024). A Nuanced Perspective on Dark Energy: Extended Classical
Mechanics. https://doi.org/10.20944/preprints202411.2325.v1
2.
Thakur,
S. N. (2024). Photon Dynamics in Extended Classical Mechanics: Effective Mass,
Negative Inertia, Momentum Exchange and Analogies with Dark Energy. https://doi.org/10.20944/preprints202411.1797.v1
3.
Thakur,
S. N. (2024). Extended Classical Mechanics: Vol-1 - Equivalence Principle, Mass
and Gravitational Dynamics. https://doi.org/10.20944/preprints202409.1190.v3
4.
Thakur,
S. N. (2024). A Symmetry and Conservation Framework for Photon Energy
Interactions in Gravitational Fields. https://doi.org/10.20944/preprints202411.0956.v1
5.
Thakur,
S. N. (2024). A supplementary resource to A Symmetry and Conservation Framework
for Photon Energy Interactions in Gravitational Fields. https://www.researchgate.net/publication/385902096
6.
Thakur,
S. N. (2024). Photon Interactions with External Gravitational Fields: True
Cause of Gravitational Lensing. https://doi.org/10.20944/preprints202410.2121.v1
7.
Thakur,
S. N. (2024). A Dual Framework for Rest and Motion States: Energy and Mass Dynamics in
Extended Classical Mechanics. http://dx.doi.org/10.13140/RG.2.2.13901.14566
8.
Thakur,
S. N. (2024). A Revised Framework for the Photon- to-Dark-Energy Transition: Refining
Photon Gravitational Dynamics. http://dx.doi.org/10.13140/RG.2.2.10551.02723
9.
Thakur,
S. N. (2024). Light's Distinct Redshifts under Gravitational and Anti-Gravitational
Influences. http://dx.doi.org/10.13140/RG.2.2.26649.22889
10. Thakur, S. N. (2024). Photon Energy
Interactions in Gravitational Fields: A Framework for Symmetry and Conservation.
http://dx.doi.org/10.13140/RG.2.2.12403.34081
11. Thakur, S. N. (2024). Unified Study
on Gravitational Dynamics: Extended Classical Mechanics -Vol-2. [ECM-2]. https://www.researchgate.net/publication/384501200
12. Thakur, S. N. (2024). Dark Energy
as a Consequence of Gravitational and Kinetic Interactions: The Dynamic Nature
of the Universe. https://www.researchgate.net/publication/384198607
