Why do cellphones need to be recharged frequently? Why can one charged battery last a lifetime? The surprising answer is intimately connected to the different phases of Gibbs free energy for most chemical reactions. These distinct stages of change of Gibbs free energy are the differences between enthalpy and the product of entropy and absolute temperature: G=H-TS. It indicates that all thermodynamic processes tend to strive toward the dynamic equilibrium condition such that Gibbs free energy is a minimum approaching zero, implying that enthalpy (H) is always slightly greater than the product of entropy (S) and absolute temperature (T). However, at absolute zero the enthalpy is exactly equal to the Gibbs free energy regardless of the corresponding values of the entropy.
On the one hand, the enthalpy is given by the sum of internal energy (U) and the product of absolute pressure (p) and oriented volume (V) which could be negative depending on the underlying physical geometric topology. If the oriented volume is negative and the magnitude of the product of p and V is equal to the absolute value of U then the enthalpy is exactly zero. The consequence is that G is identically zero and the cellphone can never be recharged and the final outcome is a dead battery forever. On the other hand, if the absolute pressure is zero regardless of the positive or negative value of the oriented volume, the Gibbs free energy is identically equal to the internal energy: G=U. Wherever and whenever this happens, G becomes the zero-point energy of quantum vacuum fluctuations of squares of energy. Consequently, the physical geometry becomes a hyperbolic Bolyai-Lobachevsky topology of negative curvatures, contrasting the Riemannian topology of Einstein’s general relativity of positive curvatures.


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