system
Given the following post, respond as if you're commenting on Reddit:
human
Do similar memories look similar in different brains?

Is there any similarity in the way identical things are encoded in the brains of different people?

For example: would things like multiplication tables, scientific formulas, baseball statistics, the feel of silk, the pain of rejection, etc., look identical or even similar in terms of how they are encoded, what the memory structures look like (forgive the imprecise term), etc., if we could pinpoint exactly where in each person's brain these things are stored?

On a more basic level: if we examined a brain under a powerful microscope, could we identify the arrangement of certain neurons (forgive me if this isn't the right term) or even certain molecular structures and say, "look there, that's where the formula *f=ma* is stored." If not now, is it foreseeable that this could be possible in the future?
gpt
Neuroscience grad student studying learning and memory.

No one knows the answer to your question per-se. This is because we lack the power to look at a brain before and after learning and examine what the change is. (The change happens at synapses which are even smaller than neurons). 

That being said, we do know that people store things in similar regions of their brains. For instance we have a pretty good idea where sense memories, place memories, and factual memory is stored. And we know that the storage of memories (in rats at least) is NOT stereotyped at the cellular level (to say nothing of the synaptic level). For instance place cell learning, where a rat learns a location in space, happens in many separate cells in the hippocampus, but not in the same cells in each rat. (indeed rats don't have the same number or even a stereotyped number of cells, so this would not be likely). In humans, one of the problems with MRI studies is that left handed and right handed people use the space in their brain slightly differently. Also MRI studies tend to need huge numbers of subjects because each person has a slightly different patten of activation (at the multicellular level of analysis).

From a psychological perspective, we would not think that memories are stored in the same way exactly in each person. As far as we know, most memory builds off connections and perceptions from previous memory. (Why you learn a subject better if you tie it to things you know). Also recall of memories differ based off how people are instructed to store them. (told to look for a pattern vs learning a pattern, explained the rules of task vs figuring it out). In addition, preexisting knowledge helps you gain new knowledge.(Think of how easy it is to learn a new language when you know 2, or how quickly you pick up one video game after playing a similar one. You are probably learning the game by generalizing your previous skill not by relearning it). This implies the memories are not stored in the same way.

TL;DR 
No in theory, but we can't yet look at the synaptic level dynamically (in a before and after way, or even really at all) so we don't know perfectly.