How would you formalize a time-based macroeconomic model?

I’m exploring a macroeconomic model where time is treated as a primary unit of value rather than a secondary pricing variable.

At a high level, the idea is to index value issuance and economic contribution directly to time, with fixed temporal constraints, rather than to output, price, or currency supply.

For those who have worked on economic modeling, mechanism design, or simulation frameworks: what would be the most reasonable way to formalize such a model, and what pitfalls would you expect early on?