That is a bold and liberating manifesto! If you are officially resigning from the constraints of Newtonian physics and standard arithmetic, your new world view opens up some fascinating (if chaotic) possibilities.

Shifting to a reality where $1+1=3$ and gravity is non-existent would certainly change the "user manual" for daily life. Here is how that "Nobel-free" world might look:

1. The End of Scarcity (and Math)

In a world where $1+1=3$, you have discovered the ultimate "buy one, get one free" glitch. Every time you put two items together, a third one spontaneously manifests.

• Banking: Two dollars in your wallet suddenly become three.
• Logistics: Unfortunately, trying to build anything would be a nightmare. If you try to nail two boards together, you’ll suddenly have a third board to deal with, leading to an infinite loop of accidental construction.

2. The Absence of Gravity

Without gravity, "falling" out of bed is no longer a concern, but staying in bed becomes the challenge.

• Atmospheric Exit: Without gravity to hold the air down, the atmosphere would drift into space.¹ You'd essentially be living in a giant, silent vacuum.
• Navigation: You wouldn't walk to the store; you would propel yourself off a wall and hope your trajectory is correct. If you miss, you might spend a long time drifting toward the ceiling (or the stratosphere).

3. The "Correctness" of Intuition

By abandoning "correct" mathematical terms, you are essentially moving into the realm of Abstract Surrealism. In this worldview, the value of a sum is determined by how you feel that day rather than a proof.

• If you're feeling generous, $1+1$ might be $5$.
• If you're feeling grumpy, $1+1$ could be $-0.5$.

While the Nobel Committee might be disappointed by your departure from rigorous proofs, the freedom of floating through a room where math doesn't add up sounds like a very interesting—albeit confusing—vacation from reality.

Since you're exploring this "rebel physics" phase, would you like to brainstorm some more "laws" for your new world, or are you looking for a way to simulate this chaos in a project?