This work introduces the Saeidi Quantum Acceleration (SQA) framework as a mechanical reinterpretation of the Planck–de Broglie relation. Starting from the classical work-energy expression E = Fd = mad, the model assumes that the effective displacement associated with a quantum-scale matter-wave cycle is proportional to the de Broglie wavelength λ. By defining a wavelength-based acceleration aλ = λ/T², the SQA energy expression becomes ESQA = mλvf. Comparison with Planck’s energy relation E = hf leads to the expression h = mλv, which is consistent with the non-relativistic de Broglie relation. The paper does not claim a new numerical value or variable form of Planck’s constant. Instead, it presents h = mλv as a mechanical re-expression of the Planck–de Broglie structure, where Planck’s constant appears as an invariant product of mass, matter-wave wavelength, and velocity within the proposed SQA framework. The work further discusses quantum acceleration, frequency-induced energy changes, and the interpretation of ESQA as an effective wavelength-cycle energy rather than ordinary classical kinetic energy. This preprint is intended as a conceptual and theoretical physics contribution exploring alternative mechanical interpretations of quantum energy relations, matter-wave dynamics, and frequency-dependent energy exchange.
This work introduces the Saeidi Quantum Acceleration (SQA) framework as a mechanical reinterpretation of the Planck–de Broglie relation. Starting from the classical work-energy expression E = Fd = mad, the model assumes that the effective displacement associated with a quantum-scale matter-wave cycle is proportional to the de Broglie wavelength λ. By defining a wavelength-based acceleration aλ = λ/T², the SQA energy expression becomes ESQA = mλvf. Comparison with Planck’s energy relation E = hf leads to the expression h = mλv, which is consistent with the non-relativistic de Broglie relation. The paper does not claim a new numerical value or variable form of Planck’s constant. Instead, it presents h = mλv as a mechanical re-expression of the Planck–de Broglie structure, where Planck’s constant appears as an invariant product of mass, matter-wave wavelength, and velocity within the proposed SQA framework. The work further discusses quantum acceleration, frequency-induced energy changes, and the interpretation of ESQA as an effective wavelength-cycle energy rather than ordinary classical kinetic energy. This preprint is intended as a conceptual and theoretical physics contribution exploring alternative mechanical interpretations of quantum energy relations, matter-wave dynamics, and frequency-dependent energy exchange.
This work introduces the Saedi Quantum Acceleration (SQA) framework as a mechanical reinterpretation of the Planck–de Broglie relation. Starting from the classical work-energy expression E = Fd = mad, the model assumes that the effective displacement associated with a quantum-scale matter-wave cycle is proportional to the de Broglie wavelength λ. By defining a wavelength-based acceleration aλ = λ/T², the SQA energy expression becomes ESQA = mλvf. Comparison with Planck’s energy relation E = hf leads to the expression h = mλv, which is consistent with the non-relativistic de Broglie relation. The paper does not claim a new numerical value or variable form of Planck’s constant. Instead, it presents h = mλv as a mechanical re-expression of the Planck–de Broglie structure, where Planck’s constant appears as an invariant product of mass, matter-wave wavelength, and velocity within the proposed SQA framework. The work further discusses quantum acceleration, frequency-induced energy changes, and the interpretation of ESQA as an effective wavelength-cycle energy rather than ordinary classical kinetic energy. This preprint is intended as a conceptual and theoretical physics contribution exploring alternative mechanical interpretations of quantum energy relations, matter-wave dynamics, and frequency-dependent energy exchange.
Wave-particle duality is widely regarded as one of the conceptual pillars of modern quantum theory, providing the framework through which the behavior of microscopic matter can be consistently interpreted. According to this principle, microscopic entities such as electrons, photons, atoms and even complex molecules exhibit both wave-like and particle-like properties depending on the experimental configuration used to observe them. This duality is quantitatively formalized through the De Broglie relation, which associates a wavelength with any particle possessing momentum. The present work provides a comprehensive theoretical analysis of the physical and mathematical foundations of wave-particle duality, focusing particularly on the De Broglie wavelength and the kinetic energy of the electron in both non-relativistic and relativistic regimes. The connection between the De Broglie hypothesis and Schrödinger’s equation is discussed in detail, highlighting the role of the kinetic energy operator and the interpretation of matter waves in terms of quantum wave packets. Experimental evidence supporting the wave nature of matter, including electron diffraction experiments and interferometry techniques, is also reviewed. Beyond their conceptual importance, these principles underpin several modern technologies, including electron microscopy, nanoscale semiconductor devices and quantum metrology. The analysis demonstrates that the De Broglie relation provides a unifying framework connecting momentum, wavelength and kinetic energy, thereby forming a fundamental bridge between classical mechanics, quantum theory and modern technological applications.
Planck introduced the constant ℎ as the elementary quantum of action, yet its repeatedappearance throughout quantum physics remains one of the deepest structural features ofmodern science. The same constant governs photon energy, matter waves, Schrödingerevolution, angular momentum quantization, and Heisenberg uncertainty. This paperproposes a Space-Phase (SP3) interpretation in which Planck's constant is not primarily aproperty of matter or radiation but an intrinsic action scale of an underlying conditionablemedium.The medium is modeled conceptually as a flexible, interconnected Planck-scale meshcapable of storing, releasing, and transporting energy through localized reorganizationevents. Stable particles correspond to persistent conditioned basins within this mesh,while propagating radiation represents traveling reorganizations of the same medium. Agroove-based analogy is introduced in which observable physical change requires themedium to reorganize by at least one elementary unit of action. The uncertainty relationsare interpreted as minimum reorganization criteria rather than solely mathematical limitsarising from wavefunctions. Planck's relation, de Broglie's relation, Schrödinger's equation,and Heisenberg's uncertainty principle are mapped to this common organizing principle.The paper presents a qualitative framework intended to motivate future mathematicaldevelopment of an SP3 description of quantum action
This preprint develops a refined TDF-QM formulation within the Time Delay Field (TDF) framework, focusing on the interpretation of quantum phase as a temporal-phase rotation. The central proposal is that the TDF quantum variable (N_t) should be interpreted not as the phase angle itself, but as the local angular rate of temporal-phase rotation, (N_t=\dot{\theta}\tau). Under this definition, the quantum phase becomes (\theta\tau=\int N_t dt), while the standard quantum relation (E=\hbar \omega) is reinterpreted as (E=\hbar N_t). The paper examines how this definition aligns with core structures of nonrelativistic quantum mechanics, including the wavefunction (\psi=\sqrt{\rho}e^{-i\theta_\tau}), Schrödinger phase evolution, de Broglie momentum, interference, decoherence, uncertainty relations, rest mass as internal phase rotation, and entanglement as temporal-phase locking. In this formulation, Planck’s constant is interpreted as the conversion factor between temporal-phase rotation and physical action/energy, with (h=E_qt_q) representing the action associated with one complete fundamental time-phase cycle. The work is intended as a conceptual and mathematical bridge between the broader TDF program and effective quantum mechanics. It does not claim a complete derivation of the Standard Model, spin, charge, or quantum field theory, but identifies which standard QM relations are structurally compatible with the TDF time-phase-rate interpretation and which areas require further development. This work builds on the TDF framework and references the related Zenodo record: https://doi.org/10.5281/zenodo.20633775.
Planck introduced the constant ℎas the elementary quantum of action, yet its repeatedappearance throughout quantum physics remains one of the deepest structural features ofmodern science. The same constant governs photon energy, matter waves, Schrödingerevolution, angular momentum quantization, and Heisenberg uncertainty. This paperproposes a Space-Phase (SP3) interpretation in which Planck's constant is not primarily aproperty of matter or radiation but an intrinsic action scale of an underlying conditionablemedium.The medium is modeled conceptually as a flexible, interconnected Planck-scale meshcapable of storing, releasing, and transporting energy through localized reorganizationevents. Stable particles correspond to persistent conditioned basins within this mesh,while propagating radiation represents traveling reorganizations of the same medium. Agroove-based analogy is introduced in which observable physical change requires themedium to reorganize by at least one elementary unit of action. The uncertainty relationsare interpreted as minimum reorganization criteria rather than solely mathematical limitsarising from wavefunctions. Planck's relation, de Broglie's relation, Schrödinger's equation,and Heisenberg's uncertainty principle are mapped to this common organizing principle.The paper presents a qualitative framework intended to motivate future mathematicaldevelopment of an SP3 description of quantum action.
This paper proposes a dynamical interpretation of the de Broglie wave in which the electron alternates between relatively localized and relatively delocalized propagation phases. The electron's rest mass is treated throughout as a conserved invariant. The proposal does not involve rest mass conversion. What may oscillate is the spatial configuration of the electron's quantized energy states — the way energy organizes itself around the fixed core — not the core itself. The proposal is motivated by a numerical observation: the orbital frequency and the de Broglie frequency of the electron in the hydrogen ground state are exactly equal, computed independently from classical mechanics and quantum wave theory. The equality itself is not new. What is proposed is its physical meaning: one complete localization–delocalization cycle occurs per orbital period. The interpretation is consistent with the Heisenberg uncertainty principle and the Schrödinger equation. Several observations from established physics are discussed as consistent with the proposed framework. The proposal is presented as an interpretive extension of standard quantum mechanics, not a replacement.