I make no claim of originality, and also make clear that this is a subject upon which there is no scholarly consensus one way or the other in the field.
1. Sean Carroll and Jennifer Chen discussed many of the same basic concepts in their 2004 paper entitled "Spontaneous Inflation and the Origin of the Arrow Of Time"
http://arxiv.org/abs/hep-th/0410270 which was the main basis for a 2008 article by Sean Carroll in Scientific American magazine ("Does Time Run Backwards In Other Universes?"). The abstract of the 2004 paper concludes by noting that "An important consequence of this picture is that inflation occurs asymptotically both forwards and backwards in time, implying a universe that is (statistically) time-symmetric on ultra-large scales.", which is discussed in the body text of the article at pages 27-28 (based on a lot of discussion of the Second Law of Thermodynamics as an arrow of time earlier in the discussion). Neilson pursues a similar approach in a 2005 paper.
http://arxiv.org/abs/hep-th/0509205
Another articulation of the same basic concept is set forth by Trevor Pitts in a 1998 paper
http://arxiv.org/abs/physics/9812021 See also on the emergent nature of the directionality of time Mersini-Houghton (2009)
http://arxiv.org/abs/0909.2330 and discussions by Augirre and Gratton of pre-Big Bang theories generally
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.67.083515 and Schulman who considers the possibility that parts of the universe have an opposite arrow of time due to thermodynamics
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.67.083515
Another fairly similar hypothesis is explored by Barbour, et al in (2013)
http://arxiv.org/abs/1310.5167 and (2014)
http://arxiv.org/abs/1409.0917 A 2015 paper by Barbour then links this to entropy.
http://arxiv.org/abs/1507.06498
There is also a discussion of a similar idea at
https://books.google.com/books?id=QqyHUifdD6QC&pg=PA214&lpg=PA214&dq=backward+time+antimatter+big+bang&source=bl&ots=BpMvhO2J7w&sig=DvgZsLivgbpu8GkmCgDZJYFL0zQ&hl=en&sa=X&ved=0CCsQ6AEwAjgKahUKEwjp1vez1f_GAhWMnIgKHSmoD1I#v=onepage&q=backward time antimatter big bang&f=false
Nine Crazy Ideas in Science: A Few Might Even be True
By Robert Ehrlich (Chapter 10, Page 214), referencing "Gott".
Gott is associated with the notion of closed timelike curves in space.
http://arxiv.org/abs/gr-qc/9404065 but some of his ideas are relevant to the directionality of time in GR.
I am sure that this anthology is not comprehensive.
2. The concept that I call a "monoverse" is one more commonly called in the literature "Einstein's block universe" or the "block universe", terminology attributed to William James. Einstein articulated the concept, for example, in his book Relativity (1952):
Since there exist in this four dimensional structure [space-time] no longer any sections which represent "now" objectively, the concepts of happening and becoming are indeed not completely suspended, but yet complicated. It appears therefore more natural to think of physical reality as a four dimensional existence, instead of, as hitherto, the evolution of a three dimensional existence.
See, also e.g.,
http://philsci-archive.pitt.edu/2408/1/Petkov-BlockUniverse.pdf Physicist Sabine Hoffenfelder discusses this article (and basically agrees with it) at her physics blog Backreaction
http://backreaction.blogspot.com/2008/05/block-universe.html
3. The notion of antimatter as ordinary matter going backward in time often attributed to Feynman actually originated with Ernst Stueckelberg in 1941 in the paper: Stueckelberg, Helvetica Physica Acta, Vol.14, 1941, pp.51-80 (applying the concept to positrons and electrons). Stueckelberg was also the inventor, in 1938, the the law of conservation of baryon number, the same year that he proposed an early version of the Higgs mechanism. He co-discovered the renormalization group in 1953. The recently passed physicist Nambu (originator of color in QCD and the Nambu-J-L propogator) also described the theory with approval in 1950.
http://physics.stackexchange.com/questions/391/is-anti-matter-matter-going-backwards-in-time John Wheeler also explored the idea in depth and seriously
http://listverse.com/2010/11/04/10-strange-things-about-the-universe/
4. Why devote so much attention to an approach that has received only a smattering of scholarly attention?
* Laboratory and astronomy evidence increasingly disfavors the leading theories of baryogenesis and leptogenesis. There is simply no evidence whatsoever for violations of the laws of baryon number conservation and lepton number conversation in the face of very rigorous searches, and the Standard Model rules out those phenomena except for sphalerons which aren't sufficient to produce baryon asymmetry to the extent observed and theories like SUSY which once offered a baryogenesis solution are looking like losers.
* The necessary alternative to B and L number violation is an initial condition that is not zero. No rule of physics can mandate the initial conditions of the universe, although one can motivate scenarios that explain it.
* Arrow of time evidence as a fundamental law of nature as opposed to emergent from entropy in a manner that can go in either direction is pretty weak.
* The assumptions are mostly quite conservative. Yet, it explains unsolved problems in physics with no other good answers. Baryongenesis and leptogenesis through pair production across t=0 is consistent with Standard Model physics, something that almost no other solution to those problems can say.
* The theory has "soft boundaries" that make it impossible to "fall off the edge of the world".
* No recourse to the anthropic principle is required.
* Key sub-concepts have been bouncing around for a long time among respected physicists.