Zero-point radiation and the Big Bang

This paper develops a cosmological hypothesis based on the following propositions:

Zero-point radiation derives from quantic fluctuations in space, and the wavelength of its photons with the greatest energy is inversely proportional to the curvature of space.
The Universe began as the breaking in of photons of extremely high energy contained in the 3-dimensional surface: $w^{2} + x^{2} + y^{2} + z^{2} = R_{i}^{2}$ , whose radius has continued to expand at the speed of ligth since its origin at $t = 0$ .
The wavelength of the photons is quantized and the quantum of wavelength is invariable. These propositions imply that the value of the total energy of the zero-point radiation in the Universe remains constant and the condition $w^2 + x^2 + y^2 + z^2 = (R_i + ct)^2 = R_u^2$ determines that every point in our space is subject to a tension whose intensity $i$ is proportional to the curvature $1 / R_{u}$ . Any increase of $R_{u}$ implies a decrease in $i$ and consequently an energy flow which translates into an expansive force. Therefore, the Universe will expand indefinitely: no Big Crunch is possible. If the initial radius of the Universe $R_{i}$ has been smaller than the Schwarzschild radius, $R_{s}$ , which corresponds to the total mass of the Universe, $M_{u}$ , the generation of matter would have lasted for thousands of millions of years. Generation of matter over short periods would have required values for $R_{i}$ of thousands of millions of light years.

This paper develops a cosmological hypothesis based on the following propositions:

Zero-point radiation derives from quantic fluctuations in space, and the wavelength of its photons with the greatest energy is inversely proportional to the curvature of space.
The Universe began as the breaking in of photons of extremely high energy contained in the 3-dimensional surface: $w^{2} + x^{2} + y^{2} + z^{2} = R_{i}^{2}$ , whose radius has continued to expand at the speed of ligth since its origin at $t = 0$ .
The wavelength of the photons is quantized and the quantum of wavelength is invariable. These propositions imply that the value of the total energy of the zero-point radiation in the Universe remains constant and the condition $w^2 + x^2 + y^2 + z^2 = (R_i + ct)^2 = R_u^2$ determines that every point in our space is subject to a tension whose intensity $i$ is proportional to the curvature $1 / R_{u}$ . Any increase of $R_{u}$ implies a decrease in $i$ and consequently an energy flow which translates into an expansive force. Therefore, the Universe will expand indefinitely: no Big Crunch is possible. If the initial radius of the Universe $R_{i}$ has been smaller than the Schwarzschild radius, $R_{s}$ , which corresponds to the total mass of the Universe, $M_{u}$ , the generation of matter would have lasted for thousands of millions of years. Generation of matter over short periods would have required values for $R_{i}$ of thousands of millions of light years.

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