Could Gravitons from a Prior Universe Survive a (LQG Inspired) “Quantum Bounce” to Re-Appear in Our Present Universe?

摘要

We ask the question if a formula for entropy, as given by src="Edit_a44e1508-314f-46b8-9907-b2aca8d6a513.bmp" alt="" /> with a usual value ascribed of initial entropy src="Edit_168da294-c320-44bc-9742-20c1aaa85631.bmp" alt="" /> of the onset of inflation can allow an order of magnitude resolution of the question of if there could be a survival of a graviton from a prior to the present universe, using typical Planckian peak temperature values of src="Edit_2c54b0f0-2dbb-4157-a6da-2022f7e4247e.bmp" alt="" />. We obtain values consistent with up to 1038 gravitons contributing to an energy value of src="Edit_8dd2bc30-3ba2-431e-8043-8e80b3a427d9.bmp" alt="" /> if we assume a relic energy contribution based upon each graviton initially exhibiting a frequency spike of 1010 Hz. The value of src="Edit_f9691bd9-95fa-4d29-ac50-c5dddd83df2e.bmp" alt="" /> is picked from looking at the aftermath of what happens if there exists a quantum bounce with a peak density value of src="Edit_2bba34d2-56f4-4c97-b625-0ae1de8a73ba.bmp" alt="" /> [1] in a regime of LQG bounce regime radii of the order of magnitude of src="Edit_f96eebf0-3817-47f6-b3c0-071a63e7f9ab.bmp" alt="" /> meters. The author, in making estimates specifically avoids using src="Edit_d460ed08-a9c9-4f7c-8f78-d8f949dc8d2b.bmp" alt="" />,?by setting the chemical potential for ultra high temperatures for reasons which will be brought up in the conclusion.