A q-deformed derivative in non-integer dimensions is introduced to derive phonon density of states and specific heat for anisotropic solids, with the deformation parameter q anchored to a microscopic disorder exponent and shown to fit experimental data across temperatures.
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An Extended Model of Non-Integer-Dimensional Space for Anisotropic Solids with q-Deformed Derivatives
A q-deformed derivative in non-integer dimensions is introduced to derive phonon density of states and specific heat for anisotropic solids, with the deformation parameter q anchored to a microscopic disorder exponent and shown to fit experimental data across temperatures.