How we cite our quotes: (Chapter.Paragraph)
Quote #4
"Those of your time who fought hard for change, often they had myths that a revolution was inevitable. But nothing is! All things interlock. We are only one possible future. Do you grasp?"(9.132)
Luciente is talking about the Communists, who believed that the workers would inevitably revolt and overthrow the capitalists and everyone would have bunnies. (Okay, Marx didn't specifically say the bunnies part.) Mattapoisett is kind of sort of a worker's paradise, with all the corporations and the rich defeated and exiled to the moon without bunnies. But Luciente is saying that the capitalist-less, bunny-filled future isn't necessary. It depends on the present—and if all things interlock, maybe the present depends on seeing the future, and realizing it's not inevitable.
Quote #5
She felt swollen equally with old tears and present wanting, the memory of Claud and the presence of Bee. (9.205)
So here's that past-and-present-interlocking bit Luciente was getting at. Connie is with Bee while thinking about Claud; her past (way, way back in the past) is part of the future, or of her experience of the future. What she wants comes out of what she wanted (which may apply to all of Mattapoisett, if it's just her dream).
Quote #6
Martín had been dead almost half the time she had lived. What was the use of crying now? Yet she mourned him freshly, thinking that in the future they might have lived side by side for half a century. (10.275)
Again, future and past get jumbled and shmooshed, as Connie imagines how she could have had a different past if only she'd somehow lived in the future. Mattapoisett ends up sounding more like a vacation spot you can travel to than a something hundreds of years in the future. (You get that in the title too: Woman on the Edge of Time makes time sound like a cliff, or a space, you can fall into. You could climb down it with the right time-sneakers.)