arXiv subjects
Publications and source records attributed to Paul H Frampton.
We recall a 1987 paper written by Volovich and our subsequent work with Okada which established the Feyman rules for the p-adic string and the related non-local field theory which found diverse physical applications. We add some memories of visits to Moscow during 1989-91.
The Amaterasu (named for a sun goddess in Japanese mythology) cosmic ray particle announced in November 2023 is extraordinary. Its direction points back to the Local Void which contains no galaxies or known source. It is possible to show that the direction could not have been bent significantly by magnetic fields within the Milky Way. This collection of facts constitutes a paradox. In the present paper, we offer a resolution within the Electromagnetic Accelerating Universe (EAU) model in which a central rôle is played by charged Primordial Extremely Massive Black Holes (PEMBHs) whose Coulomb interactions underly accelerating expansion. Because structure formation of PEMBHs is electromagnetic while that for galaxies is gravitational, it is reasonable to expect PEMBHs inside the Local Void. We provide an example where the cosmic ray primary is an antiproton and present it as supportiing evidence for the EAU model.
We discuss a cosmological model first proposed in 2022 in which the accelerated rate of expansion is attributed to repulsive electromagnetic forces between like-sign charged PEMNSs (= Primordial Extremely Massive Naked Singularities).
We investigate a model of the universe where dark energy is replaced by electrically-charged extremely-massive dark matter. This was originally described only for the present cosmological time. The time dependence of the charged dark matter is different from that for dark energy and in the future the expansion will no longer accelerate and the scale factor $a(t)$ will revert to a matter-dominated behaviour $a(t) \sim t^{\frac{2}{3}}$. The consequences for the introverse and extroverse are discussed. Unlike in a $ΛCDM$ model, many other galaxies will always remain visible.
The entropies of the known entities in the universe add to a total which is some twenty orders of magnitude below the holographic limit. Based on an assumption that the entropies should saturate the limit, we suggest that there exists dark matter, in the form of extremely massive primordial black holes, in addition to the dark matter known to exist inside galaxies and clusters of galaxies.
We discuss the relationship between dark matter and the entropy of the universe with the premise that dark matter exists in the form of primordial black holes (PBHs) in a hierarchy of mass tiers. The lightest tier are intermediate-mass PIMBHs within galaxies including the Milky Way. Supermassive black holes at galactic centres are in the second tier. We are led to speculate that there exists a third tier of extremely massive PBHs, more massive than entire galaxies. We discuss future observations by the Rubin Observatory and James Webb Space Telescope.
Steven Weinberg, renowned particle theorist and Nobel laureate, passed away in July 2021. We discuss selections of his work on effective field theory, electroweak unification, and symmetry related topics. We then add a few memories of Weinberg at Harvard University then at the University of Texas, Austin.
We update the standard model d=6 operators of Weinberg (1979) using a modified notation which accommodates the bilepton extension of the standard model. This may lead to an enhancement of the proton lifetime by orders of magnitude due to mixing first-family with third-family quarks. By contrast, d=5 operators which can provide Majorana neutrino masses retain the family structure of their counterparts in the standard model.
In a cyclic entropy model in which the extroverse is jettisoned at turnaround with a Come Back Empty (CBE) assumption, we address matching of the contaction scale factor $\hat{a}(t)=f(t_T){a}(t)$ to the expansion scale factor $a(t)$, where $f(t_T)$ is the ratio at turnaround of the introverse to extroverse radii. Such matching is necessary for infinite cyclicity and fixes the CBE period at $\sim 2.6Ty$.