A single application can be executed across multiple execution environments in an efficient manner if at least a relevant portion of the virtual memory assigned to the application was equally accessible by each of the multiple execution environments. A request by a process in one execution environment can, thereby, be directed to an operating system, or other core software, in another execution environment and can be made by a shadow of the requesting process in the same manner as the original request was made by the requesting process itself. Because of the memory invariance between the execution environments, the results of the request will be equally accessible to the original requesting process even though the underlying software that responded to the request may be executing in a different execution environment. A similar thread invariance can be maintained to provide for accurate translation of requests between execution environments.