Authors: Moninder Singh Modgil
Finite size of the $S^3$ universe suggests that the maximum spatial uncertainty should be $({\Delta} x)_{Max}=2{\pi} R_{Univ}$, where $R_{Univ}$ is the radius of the universe. It follows from the Position-Momentum uncertainty principle ${\Delta}x{\Delta}p \geq h/2{\pi}$, that there exists a minimum uncertainty in the momentum - i.e., $({\Delta}p)_{Min}=h/(2{\pi})^2 R_{Univ}$. Similarly, the finite duration $T$ of the $S^1$ Time Cycle, suggests that the maximum temporal uncertainty is $({\Delta}t)_{Max}=T$. It follows from the Time-Energy uncertainty principle ${\Delta}E{\Delta}t \geq h/2{\pi}$, that there exists a minimum uncertainty in the energy - i.e., $({\Delta}E)_{Min}=h/2{\pi}T$. These consideration suggest the following conclusions - (1) Quantum states with ${\Delta}E \leq ({\Delta}E)_{Min}$ and ${\Delta}p \leq ({\Delta}p)_{Min}$ will be indistinguishable, (2) It should be possible to determine radius of the finite $S^3$ universe, i.e., $R_{Univ}=h/[(2{\pi})2({\Delta}p)_{Min}]$, by locally measuring $({\Delta}p)_{Min}$ , and (3) Determine duration of the universe's time cycle, $T=h/2{\pi}({\Delta}E)_{Min}$ , by locally measuring $({\Delta}E)_{Min} . . If one considers the 5000 years Time Cycle T, and 5000 light years radius of the S3 universe - as propunded by Brahma Kumaris; one obtains the prediction $(\Delta p)Min= 2.230893507958458×〖10〗^(-53) kg m/s$; and $(\Delta E)Min= 6.688050482871086×〖10〗^(-45)$ Joules.
Comments: 3 Pages.
Download: PDF
[v1] 2020-09-28 08:31:38
[v2] 2020-09-29 21:28:53
Unique-IP document downloads: 238 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.